65–xx numericalanalysis · 65–02 numerical analysis 2003 1840 vandervorst,henka....

NUMERICAL ANALYSIS1839 2003 65–02

65–XX Numerical analysis

65–00 General reference works (handbooks, dictionaries,bibliographies, etc.)

(Farin, Gerald) see Handbook: Computer aided geometric design, 2003g:65001(Hoschek, Josef) see Handbook:Computer aided geometric design, 2003g:65001(Kim, Myung-Soo) see Handbook: Computer aided geometric design, 2003g:65001

Items listed otherwise than by author

Handbook:

Computer aided geometric design Handbook of computer aided geometric design.2003g:65001

65–01 Instructional exposition (textbooks, tutorial papers, etc.)

Ancona,Mario Computational methods for applied science & engineering. 2003m:65001

Antia,H. M. Numerical methods for scientists and engineers. (English summary)2003c:65001

(Bartels, Richard H.) see Stoer, J., 2003d:65001Bornemann, Folkmar A. see Deuflhard, Peter, 2003e:65001Bulirsch, Roland see Stoer, J., 2003d:65001Desai, Chandrakant S. (with Kundu, Tribikram) Introductory finite element method.(English summary) 2003a:65001

Deuflhard, Peter (with Bornemann, Folkmar A.) Scientific computing with ordinarydifferential equations. (English summary) 2003e:65001

Eisenberg, Theodore On an unknown algorithm for computing square roots. (Englishsummary)

(Floater, Michael S.) see Tutorials on multiresolution in geometric modelling, 2003f:65003Gatica, Gabriel N. Some basic aspects of the finite element method. (Spanish. Spanishsummary)

(Gautschi, Walter) see Stoer, J., 2003d:65001Hanke-Bourgeois,Martin Grundlagen der numerischen Mathematik und des wis-senschaftlichen Rechnens. (German. German summary) [Foundations of numericalmathematics and scientific computing] 2003f:65001

(Iske, Armin) see Tutorials on multiresolution in geometric modelling, 2003f:65003Kundu, Tribikram see Desai, ChandrakantS., 2003a:65001(Le Borne, Richard) see Plato, Robert, 2003m:65002

(Le Borne, Sabine) see Plato, Robert, 2003m:65002

LeVeque, Randall J. Finite volume methods for hyperbolic problems. (English summary)2003h:65001

Plato, Robert Concise numerical mathematics. 2003m:65002

Ponomarenko, A. K. Two invariant cubature formulas over hypercube. (English summary)2003m:65003

Pozrikidis, C. A practical guide to boundary element methods with the software libraryBEMLIB. (English summary) 2003f:65002

(Quak, Ewald) see Tutorials on multiresolution in geometric modelling, 2003f:65003(Rheinboldt,Werner C.) see Deuflhard, Peter, 2003e:65001Stoer, J. (with Bulirsch, Roland) Introduction to numerical analysis. (English summary)

2003d:65001

Watkins, David S. Fundamentals of matrix computations. (English summary)2003a:65002

(Witzgall, C.) see Stoer, J., 2003d:65001


Munich Tutorials on multiresolution in geometric modelling. 2003f:65003

School:Principles of Multiresolution in Geometric Modelling Tutorials on multiresolution ingeometric modelling. 2003f:65003

Tutorials on multiresolution in geometric modelling Tutorials on multiresolution ingeometric modelling. 2003f:65003

Items with secondary classifications in 65–01

Deuflhard, Peter (with Hohmann, Andreas) Numerical analysis in modern scientificcomputing. 2003i:65001

Deville, Michel (with Fischer, Paul F.; Mund, E. H.) High-order methods forincompressible fluid flow. (English summary) 2003g:76071

Fackler, Paul L. seeMiranda,Mario J.Fischer, Paul F. see Deville, Michel et al., 2003g:76071Gartling, D. K. see Reddy, J. N., 2003a:80009Gockenbach,Mark S. Partial differential equations. 2003m:35001

Golovanov, N. N. Геометрическое моделирование. (Russian. Russian summary)[Geometric modeling] 2003e:65021

Hohmann, Andreas see Deuflhard, Peter, 2003i:65001Lomax, H. (with Pulliam, T. H.; Zingg, D. W.) Fundamentals of computational fluiddynamics. (English summary) 2003b:76114

Miranda,Mario J. (with Fackler, Paul L.) Applied computational economics andfinance. (English summary)

Mund, E. H. see Deville, Michel et al., 2003g:76071Pulliam, T. H. see Lomax, H. et al., 2003b:76114Qin, Qing-Hua The Trefftz finite and boundary element method. (English summary)

2003e:65227

Reddy, J. N. (with Gartling, D. K.) The finite element method in heat transfer and fluiddynamics. (English summary) 2003a:80009

Schweizer, Wolfgang Numerical quantum dynamics. (English summary) 2003a:81004Sundararajan,D. The discrete Fourier transform. 2003c:42001

(Symes, William W.) see Gockenbach,Mark S., 2003m:35001

Zingg, D. W. see Lomax, H. et al., 2003b:76114

65–02 Research exposition (monographs, survey articles)

Agratini, Octavian (with Chiorean, Ioana; Coman, Gheorghe; Trımbitas, Radu T.)Analiza numerica si teoria aproximarii. Vol. III. (Romanian) [Numerical analysis andapproximation theory. Vol. III]see also Stancu,Dimitrie D. et al.

Ainsworth, Mark (with Oden, J. Tinsley) A posteriori error estimation in finite elementanalysis. (English summary) 2003b:65001

(Banks, H. T.) see Vogel, Curtis R., 2003i:65004Blaga, Petru P. see Stancu, Dimitrie D. et al.

Brandt, Achi Multiscale scientific computation: review 2001. (English summary)2003i:65002

(Casares Maldonado, Alejandro) see Overton, Michael L., 2003g:65003Chiorean, Ioana see Agratini, Octavian et al.

Coman, Gheorghe see Stancu, Dimitrie D. et al. and Agratini, Octavian et al.

Cullum, Jane K. (withWilloughby, Ralph A.) Lanczos algorithms for large symmetriceigenvalue computations. Vol. 1. 2003i:65003

Fedkiw, Ronald P. see Osher, Stanley, 2003j:65002Hollig, Klaus Finite element methods with B-splines. 2003j:65001

Ibanez, M.-T. (with Power, H.) Advanced boundary elements for heat transfer. (Englishsummary) 2003k:65001

Komzsik, Louis The Lanczos method. 2003m:65004

Kulikovskiı, A. G. (with Pogorelov, N. V.; Semenov, A. Yu.) Математическиевопросычисленного решения гиперболических систем уравнении. (Russian. English andRussian summaries) [Mathematical problems in the numerical solution of hyperbolicsystems of equations] 2003f:65004

(Kulman, Nikolai K.) see Ryaben′kii,Viktor S., 2003a:65004Miranda-Valenzuela, Jose Carlos (withMuci-Kuchler, KarimHeinz) Adaptive meshingwith boundary elements. (English summary) 2003g:65002

Muci-Kuchler, Karim Heinz seeMiranda-Valenzuela, Jose Carlos, 2003g:65002Niebsch, Jenny Zur numerischen Losung von Evolutionsgleichungen mit nichtlokalenOperatoren auf der Basis approximativer Approximationen. (German) [On thenumerical solution of evolution equations with nonlocal operators on the basis ofapproximate approximations] 2003a:65003

Oden, J. Tinsley see Ainsworth, Mark, 2003b:65001Osher, Stanley (with Fedkiw, Ronald P.) Level set methods and dynamic implicitsurfaces. (English summary) 2003j:65002

Overton, Michael L. Numerical computing with IEEE floating point arithmetic. (Englishsummary) 2003b:65002Computo numerico con aritmetica de punto flotante IEEE. (Spanish. Spanishsummary) [Numerical computing with IEEE floating point arithmetic] 2003g:65003

Peyret, Roger Spectral methods for incompressible viscous flow. (English summary)2003d:65002

Pogorelov, N. V. see Kulikovskiı, A. G. et al., 2003f:65004Power, H. see Ibanez,M.-T., 2003k:65001Ryaben′kii, Viktor S. Method of difference potentials and its applications. (Englishsummary) 2003a:65004

Schittkowski, Klaus Numerical data fitting in dynamical systems. 2003m:65005

Semenov, A. Yu. see Kulikovskiı, A. G. et al., 2003f:65004Stancu, Dimitrie D. (with Coman, Gheorghe; Agratini, Octavian; Trımbitas, Radu T.)

Analiza numerica si teoria aproximarii. Vol. I. (Romanian) [Numerical analysis andapproximation theory. Vol. I](with Coman, Gheorghe; Blaga, Petru P.) Analiza numerica si teoria aproximarii. Vol.II. (Romanian) [Numerical analysis and approximation theory. Vol. II]

Sweby, Peter K. Godunov methods. (English summary) (see 2003j:65004)Trımbitas, Radu T. see Stancu, Dimitrie D. et al. and Agratini, Octavian et al.

Vogel, Curtis R. Computational methods for inverse problems. (English summary)2003i:65004

Willoughby, Ralph A. seeCullum, Jane K., 2003i:65003


Babuska, Ivo M. seeOden, J. Tinsley et al.

Belytschko, Ted see Oden, J. Tinsley et al.

Ciarlet, Philippe G. The finite element method for elliptic problems. (English summary)Conn, Andrew R. (with Gould, Nicholas I. M.; Toint, Philippe L.) Trust-regionmethods. (English summary) 2003e:90002

(Doucet, Arnaud) see SequentialMonte Carlo methods in practice, 2003h:65007(Dragomir, Sever Silvestru) see Ostrowski type inequalities and applications in numerical

integration,2003c:26002(Farin, Gerald) see Handbook: Computer aided geometric design, 2003g:65001(de Freitas, Nando) see SequentialMonte Carlo methods in practice, 2003h:65007(Gordon, N. J.) see SequentialMonte Carlo methods in practice, 2003h:65007Gould, Nicholas I. M. see Conn, Andrew R. et al., 2003e:90002Higham, Nicholas J. Accuracy and stability of numerical algorithms. (English summary)

2003g:65064

(Hoschek, Josef) see Handbook:Computer aided geometric design, 2003g:65001Hromadka, T. V., II Amulti-dimensional complex variable boundary element method.(English summary) 2003i:65121

Hughes, Thomas J. R. see Oden, J. Tinsley et al.

Kadalbajoo,Mohan K. (with Patidar, Kailash C.) A survey of numerical techniquesfor solving singularly perturbed ordinary differential equations. (English summary)2003f:65136

(Kim, Myung-Soo) see Handbook: Computer aided geometric design, 2003g:65001Melenk, Jens M. hp-finite element methods for singular perturbations. 2003i:65108

Oden, J. Tinsley (with Belytschko, Ted; Babuska, Ivo M.; Hughes, Thomas J. R.) Researchdirections in computationalmechanics. (English summary)

Patidar, Kailash C. seeKadalbajoo,Mohan K., 2003f:65136(Rassias, Themistocles M.) see Ostrowski type inequalitiesand applications in numerical

integration,2003c:26002Toint, Philippe L. see Conn, Andrew R. et al., 2003e:90002

NUMERICAL ANALYSIS65–02 2003 1840

van der Vorst, Henk A. Computational methods for large eigenvalue problems.2003e:65058

Efficient and reliable iterativemethods for linear systems. (English summary)Yu,De Hao Some developments of computational mathematics and scientific/engineeringcomputing in China. (Chinese. English and Chinese summaries)


Handbook:Computer aided geometric design Handbook of computer aided geometric design.

2003g:65001

Lecture Notes in Mathematics seeMelenk, Jens M., 2003i:65108Ostrowski type inequalities and applications in numerical integration Ostrowski typeinequalities and applications in numerical integration. 2003c:26002

SequentialMonte Carlo methods in practice Sequential Monte Carlo methods in practice.2003h:65007

65–03 Historical (must also be assigned at least one classificationnumber from Section 01)

Ezquerro, Jose A. (with Gutierrez Jimenez, Jose Manuel; Hernandez Veron, Miguel A.;Salanova, M. Amparo) Halley’smethod: perhaps the most “rediscovered”method in theworld. (Spanish. English summary) 2003b:65003

Guo, Song Yun see Lin, Li JunGutierrez Jimenez, Jose Manuel see Ezquerro, Jose A. et al., 2003b:65003HernandezVeron, Miguel A. see Ezquerro, Jose A. et al., 2003b:65003Lin, Li Jun (with Guo, Song Yun) Study on the history of Runge-Kutta methods—computational methods for ordinary differential equations. (Chinese. English andChinese summaries)

Salanova,M. Amparo see Ezquerro, Jose A. et al., 2003b:65003


(Brezinski, Claude) see Numerical analysis: historical developments in the 20th century,2003k:01021

(Brudno, Viola) see Landis, E. M., 2003c:01052Galuzzi,Massimo Galois’ note on the approximative solution of numerical equations(1830). 2003c:01025

(Gautschi, Walter) see Landis, E. M., 2003c:01052(Ionescu, Dumitru V.) seeMathematical contributions of D. V. Ionescu, 2003f:01056(Kronrod, Aleksandr Semenovich) see Landis, E. M., 2003c:01052(Ladyzhenskaya,Ol′ga Aleksandrovna) seeMarchuk, Guriı Ivanovich

Landis, E. M. (with Yaglom, Isaak Moiseevich) Remembering A. S. Kronrod.2003c:01052

Marchuk, Guriı Ivanovich Olga Ladyzhenskaya—an outstanding mathematician of ourtimes.

Nash, John Christopher An interview with Jim Wilkinson. 2003h:01026

(Rus, Ioan A.) seeMathematical contributions of D. V. Ionescu, 2003f:01056(Wilkinson, Jim) see Nash, John Christopher, 2003h:01026(Wuytack, L.) see Numerical analysis: historical developments in the 20th century,

2003k:01021

Yaglom, Isaak Moiseevich see Landis, E. M., 2003c:01052Zverkina, G. A. The method of simple iteration: from Babylon to Newton. (Russian.English summary) 2003i:01044


Bibliography:Kronrod, Aleksandr Semenovich see Landis, E. M., 2003c:01052

Biography:

Kronrod, Aleksandr Semenovich see Landis, E. M., 2003c:01052Ladyzhenskaya,Ol′ga Aleksandrovna seeMarchuk, Guriı IvanovichWilkinson, James Hardy see Nash, John Christopher, 2003h:01026

Festschrift:

Ionescu, Dumitru V. Mathematical contributions of D. V. Ionescu. 2003f:01056

Mathematical contributions of D. V. Ionescu Mathematical contributions of D. V.Ionescu. 2003f:01056

Numerical analysis: historical developments in the 20th century Numerical analysis:historical developments in the 20th century. 2003k:01021

65–04 Explicit machine computation and programs (not thetheory of computation or programming)

Bischof, Christian H. (with Lang, Bruno; Sun, Xiaobai) Algorithm 807: the SBRtoolbox—software for successive band reduction. (English summary)

Flannery, Brian P. see Press, William H. et al., 2003a:65005Frauenfelder,Philipp (with Lage, Christian) Concepts—an object-oriented softwarepackage for partial differential equations. (English summary)

Lage, Christian see Frauenfelder, PhilippLang, Bruno see Bischof, ChristianH. et al.

Langtangen,Hans Petter Computational partial differential equations. 2003k:65002

Patera, AnthonyT. see Prud’homme, Christophe et al.

Press, William H. (with Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P.)Numerical recipes in C++. (English summary) 2003a:65005

Prud’homme, Christophe (with Rovas, Dimitrios V.; Veroy, Karen; Patera, AnthonyT.) A mathematical and computational framework for reliable real-time solution ofparametrized partial differential equations. (English summary)

Reddy, S. C. seeWeideman, J. A. C., 2003g:65004Rovas, Dimitrios V. see Prud’homme, Christophe et al.

Sun, Xiaobai see Bischof, Christian H. et al.Teukolsky, Saul A. see Press, WilliamH. et al., 2003a:65005Veroy, Karen see Prud’homme, Christophe et al.

Vetterling, William T. see Press, WilliamH. et al., 2003a:65005Weideman, J. A. C. (with Reddy, S. C.) A MATLAB differentiationmatrix suite. (Englishsummary) 2003g:65004

Wellin, Paul Technical computing with Mathematica. (English summary) 2003d:65003


Abdulle, Assyr Fourth order Chebyshev methods with recurrence relation. (Englishsummary) 2003g:65074

Ancona, Mario Computational methods for applied science & engineering. 2003m:65001

Bindel, David (with Demmel, James; Kahan, William; Marques, Osni) On computingGivens rotations reliably and efficiently. (English summary) 2003h:65046

Blackford, L. Susan (with et al.) An updated set of basic linear algebra subprograms(BLAS). 2003h:65026

Carstensen, Carsten (with Klose, Roland) Elastoviscoplastic finite element analysis in 100lines of Matlab. (English summary) 2003h:74069

De Baerdemaeker, J. see Tijskens, E. et al., 2003h:35039De Marchi, Stefano (with Vianello, Marco) Approximating the approximant: a numericalcode for polynomial compression of discrete integral operators. (English summary)2003b:65135

Demmel, James see Bindel, David et al., 2003h:65046Duff, Iain S. (with Heroux, Michael A.; Pozo, Roldan) An overview of the sparse basiclinear algebra subprograms: the new standard from the BLAS Technical Forum. (Englishsummary) 2003h:65027

(with Vomel, Christof) Algorithm 818: a reference model implementation of the sparseBLAS in Fortran 95. (English summary) 2003h:65028

Enright, W. H. The design and implementation of usable ODE software. (Englishsummary) 2003m:65132

Fierro, Ricardo D. Lanczos, Householder transformations, and implicit deflation for fastand reliable dominant singular subspace computation. (English summary) 2003d:65036

Golushko, S. K. (with Gorshkov, V. V.; Yurchenko, A. V.) On two numerical methods forsolving multipoint nonlinear boundary value problems. (Russian. English summary)2003k:65073

Gorshkov, V. V. see Golushko, S. K. et al., 2003k:65073Heroux, Michael A. see Duff, Iain S. et al., 2003h:65027Ikramov, Khakim D. (withMatin far, M.) Rank-one modifications and the recalculation ofpseudo-inverse matrices. (Russian. Russian summary) 2003k:65040

Jackiewicz, Z. Implementation of DIMSIMs for stiff differential systems. (Englishsummary) 2003f:65116

Kahan, William see Bindel, David et al., 2003h:65046Kaufman, Linda An observation on bisection software for the symmetric tridiagonaleigenvalue problem. (English summary) 2003j:65035

Khanin, Raya AMathematica solver for two-point singularly-perturbed boundary valueproblems. (English summary) (see 2003f:68002)

Kierzenka, Jacek (with Shampine, Lawrence F.) A BVP solver based on residual controland the MATLAB PSE. (English summary) 2003f:65137

Klose, Roland see Carstensen, Carsten, 2003h:74069Li, Xiaoye S. (with et al.) Design, implementation and testing of extended and mixedprecision BLAS. (English summary) 2003h:65029

Marques, Osni see Bindel, David et al., 2003h:65046Matin far, M. see Ikramov, Khakim D., 2003k:65040Mazzucco, Isolde SYMOPT: symbolic parametric mathematical programming. (Englishsummary) (see 2003f:68002)

Pozo, Roldan see Duff, Iain S. et al., 2003h:65027Pozrikidis, C. A practical guide to boundary element methods with the software libraryBEMLIB. (English summary) 2003f:65002

Ramon, H. see Tijskens, E. et al., 2003h:35039Roose, Dirk see Tijskens, E. et al., 2003h:35039Shampine, Lawrence F. Solving 0 = F (t, y(t), y ′(t)) in Matlab. (English summary)

2003m:65102

Singular boundary value problems for ODEs. (English summary) 2003m:65121

see also Kierzenka, Jacek, 2003f:65137Stanimirovic, Predrag S. (with Tasic, Milan B.) A problem in computation of pseudoin-verses. (English summary) 2003j:65037

Tasic, Milan B. see Stanimirovic, Predrag S., 2003j:65037Tijskens, E. (with Roose, Dirk; Ramon, H.; De Baerdemaeker, J.) Automatic differentia-tion for solving nonlinear partial differential equations: an efficient operator overloadingapproach. (English summary) 2003h:35039

Venkatasubban,Chittur S. EULAIR: a novel finite-element-basedCartesian grid Euler flowsolver that does not require cut-cell geometric information at solid boundaries. (Englishsummary) 2003g:65147

Vianello,Marco see De Marchi, Stefano, 2003b:65135Vomel, Christof see Duff, Iain S., 2003h:65028Yurchenko, A. V. see Golushko, S. K. et al., 2003k:65073

65–06 Proceedings, conferences, collections, etc.

(Allgower, Eugene L.) see Algorithms and complexity for continuous problems/Algorithms,computational complexity, and models of computation for nonlinear and multivariateproblems

(Barth, Timothy J.) seeMultiscale and multiresolution methods, 2003d:65004 andError estimation and adaptive discretizationmethods in computational fluid dynamics,2003h:65002

(Beskos, D. E.) see Boundary elements, 2003e:65002(Brebbia, C. A.) see Boundary elements, 2003e:65002 and 2003i:65005

(Breuer, Michael) see High performance scientific and engineering computing,2003b:65004(Broeckx, FernandC. M.) see Proceedings: Congress on Computational and Applied

Mathematics

(Butcher, J. C.) see Numerical methods for ordinary differential equations

(Chan, Tony F.) seeMultiscale and multiresolution methods, 2003d:65004

NUMERICAL ANALYSIS1841 2003 65–06

(Chattot, J.-J.) see Innovative methods for numerical solutions of partial differentialequations, 2003f:65006

(Deconinck,Herman) see Error estimation and adaptive discretization methods in computa-tional fluid dynamics, 2003h:65002

(Drmac, Zlatko) see Applied mathematics and scientific computing, 2003j:65003(Durst, Franz) see High performance scientific and engineering computing, 2003b:65004(Ehrich, Sven) see Orthogonal polynomials, approximation theory, and harmonic analysis

(Enright,W. H.) see Numerical methods for ordinary differential equations

(Fang, Kai-Tai) seeMonte Carlo and quasi-MonteCarlo methods, 2003i:65006(Feng, Xiaobing) see Recent advances in numerical methods for partial differential equations

and applications, 2003f:65008(Filbir, Frank) see Orthogonal polynomials, approximation theory, and harmonic analysis

(Gasca, Mariano) see Numerical methods of approximation theory and computer aided

geometric design

(Georg, Kurt) see Algorithms and complexity for continuous problems/Algorithms,computational complexity, and models of computation for nonlinear and multivariate

problems

(Girgensohn, Roland) see Orthogonal polynomials, approximation theory, and harmonicanalysis

(Glowinski, Roland) see Domain decomposition methods in sciences and engineering,2003f:65005

(Goovaerts, M. J.) see Proceedings: Congress on Computational and Applied Mathematics

(Graef, John R.) see Proceedings: Conference on Differential Equations and ComputationalSimulations, 2003m:65006

(Griffiths, David F.) see Conference: Numerical Analysis

(Gutknecht,Martin H.) see Developments and trends in iterative methods for large systems of

equations—inmemoriam RudigerWeiss

(Hadjidimos, Apostolos) see Conference: Iterative Methods in Scientific Computing

(Hafez,M. M.) see Innovative methods for numerical solutions of partial differentialequations, 2003f:65006

(Haimes, Robert) seeMultiscale and multiresolution methods, 2003d:65004(Hari, Vjeran) see Applied mathematics and scientific computing,2003j:65003(Hickernell, Fred J.) seeMonte Carlo and quasi-MonteCarlo methods, 2003i:65006(Houstis, Elias N.) see Conference: Iterative Methods in Scientific Computing

(van der Houwen, P. J.) see Numerical methods for ordinary differential equations

(Katsikadelis, J. T.) see Boundary elements, 2003e:65002(Lasser, Rupert) see Orthogonal polynomials, approximation theory, and harmonic analysis

(Manolis, George D.) see Boundary elements, 2003e:65002(Mazzia, Francesca) see Numerical methods for ordinary differential equations

(Neittaanmaki, Pekka) see Numerical mathematics and advanced applications,2003f:65007(Nenov, Svetoslav Ivanov) see Colloquium:Numerical Analysis and Computer Science with

Applications

(Niederreiter, Harald) seeMonte Carlo and quasi-MonteCarlo methods, 2003i:65006

(Obermaier, Josef) see Orthogonal polynomials, approximation theory, and harmonicanalysis

(Pereverzev, Sergei V.) see Algorithms and complexity for continuousproblems/Algorithms,computational complexity, and models of computation for nonlinear and multivariate

problems

(Periaux, J.) see Domain decompositionmethods in sciences and engineering,2003f:65005(Piessens, R.) see Proceedings: Congress on Computational and Applied Mathematics

(Popov, Viktor) see Boundary elements, 2003i:65005(Prestin, Jurgen) see Orthogonal polynomials, approximation theory, and harmonic analysis

(Roe, Philip L.) see Innovative methods for numerical solutions of partial differential

equations, 2003f:65006(Schonauer,Willi) see Developments and trends in iterative methods for large systems of

equations—inmemoriam RudigerWeiss

(Schulze,Tim P.) see Recent advances in numerical methods for partial differential equations

and applications, 2003f:65008(Shi, Zhong Ci) see Domain decomposition methods in sciences and engineering,2003f:65005(Shivaji, Ratnasingham) see Proceedings: Conference on Differential Equations and

ComputationalSimulations, 2003m:65006

(Sikorski, Christopher) see Algorithms and complexity for continuous problems/Algorithms,

computational complexity, and models of computation for nonlinear and multivariateproblems

(Soderlind,Gustaf) see Numerical methods for ordinary differential equations

(Sommeijer, B. P.) see Seminar: Numerical Solution of Differential and Differential-

Algebraic Equations

(Soni, Bharat) see Proceedings: Conference on Differential Equations and ComputationalSimulations, 2003m:65006

(Sopta, Luka) see Applied mathematics and scientific computing, 2003j:65003

(Strehmel, K.) see Seminar: Numerical Solution of Differential and Differential-AlgebraicEquations

(Tadeu, A.) see Boundary elements, 2003i:65005(Tarvainen, Pasi) see Numerical mathematics and advanced applications,2003f:65007(Tiihonen, Timo) see Numerical mathematics and advanced applications, 2003f:65007(Toro, E. F.) see Godunovmethods, 2003j:65004

(Tutek, Zvonimir) see Applied mathematics and scientific computing, 2003j:65003(Vavalis, Emmanuel) see Conference: Iterative Methods in Scientific Computing

(Verwer, Jan G.) see Seminar: Numerical Solution of Differential and Differential-AlgebraicEquations

(Veselic, Kresimir) see Applied mathematics and scientific computing, 2003j:65003(Volkov, Lyuben G.) see Numerical analysis and its applications,2003e:65003

(Wasilkowski, Grzegorz W.) see Algorithms and complexity for continuous prob-lems/Algorithms, computational complexity, and models of computation for nonlinear andmultivariate problems

(Wasniewski, Jerzy) see Numerical analysis and its applications,2003e:65003

(Watson, G. Alistair) see Conference: Numerical Analysis

(Weiner, Rudiger) see Seminar: Numerical Solution of Differential and Differential-AlgebraicEquations

(Weiss, Rudiger) see Developments and trends in iterative methods for large systems ofequations—inmemoriam RudigerWeiss

(Widlund, Olof B.) see Domain decomposition methods in sciences and engineering,2003f:65005

(Wuytack, L.) see Proceedings: Congress on Computational and AppliedMathematics

(Yalamov, Plamen) see Numerical analysis and its applications,2003e:65003(Zenger, Christoph) see High performance scientific and engineering computing, 2003b:65004(Zhu, Jian Ping2) see Proceedings: Conference on Differential Equations and Computational

Simulations, 2003m:65006


Algorithms and complexity for continuous problems/Algorithms, computational complexity,

and models of computation for nonlinear and multivariate problems Algorithms andcomplexity for continuous problems/Algorithms, computational complexity, and modelsof computation for nonlinear and multivariate problems.

Applied mathematics and scientific computing Applied mathematics and scientificcomputing. 2003j:65003

Arcachon Innovative methods for numerical solutions of partial differential equations.2003f:65006

Beijing Domain decomposition methods in sciences and engineering. 2003f:65005

Boundary elements Boundary elements XXIII. 2003e:65002Boundary elements. XXIV. 2003i:65005

Colloquium:

Numerical Analysis and Computer Science with Applications The Tenth InternationalColloquium on Numerical Analysis and Computer Science with Applications.Tenth International Colloquium on Numerical Analysis and Computer Science withApplications.

Conference:Boundary Element Method Boundary elements XXIII. 2003e:65002

Boundary Element Methods Boundary elements. XXIV. 2003i:65005

Iterative Methods in Scientific Computing 5th IMACS Conference on IterativeMethods in Scientific Computing.

Monte Carlo and Quasi-MonteCarlo Methods in Scientific Computing Monte Carloand quasi-Monte Carlo methods 2000. 2003i:65006

Numerical Analysis 19th Dundee Biennial Conference on Numerical Analysis.Optimization of Finite Element Approximation, Splines and Wavelets Вторая

Международная Конференция OFEA’2001 “Оптимизация Конечно-элементныхПриближении, Сплаины и Всплески”. [Second International ConferenceOFEA’2001 “Optimization of Finite Element Approximation, Splines and Wavelets”]

Contemporary Mathematics Recent advances in numerical methods for partialdifferential equations and applications. 2003f:65008

Dagstuhl Algorithms and complexity for continuous problems/Algorithms, computa-tional complexity, and models of computation for nonlinear and multivariate problems.

Developments and trends in iterative methods for large systems of equations—inmemoriamRudiger Weiss Developments and trends in iterativemethods for large systems ofequations—in memoriamRudiger Weiss.

Domain decompositionmethods in sciences and engineering Domain decompositionmethods in sciences and engineering. 2003f:65005

Dubrovnik Applied mathematics and scientific computing. 2003j:65003Dundee 19th Dundee Biennial Conference on Numerical Analysis.Erlangen High performance scientific and engineering computing. 2003b:65004

Error estimation and adaptive discretization methods in computational fluid dynamicsError estimation and adaptive discretizationmethods in computational fluid dynamics.2003h:65002

Festschrift:

Roe, Philip L. Innovative methods for numerical solutions of partial differentialequations. 2003f:65006

Godunov methods Godunov methods. 2003j:65004Halle Ninth Seminar on Numerical Solution of Differential and Differential-AlgebraicEquations.

Heraklion 5th IMACS Conference on IterativeMethods in Scientific Computing.High performance scientific and engineering computing High performance scientific andengineering computing. 2003b:65004

Hong Kong Monte Carlo and quasi-Monte Carlo methods 2000. 2003i:65006

Innovative methods for numerical solutions of partial differential equations Innovativemethods for numerical solutions of partial differential equations. 2003f:65006

Inzel Orthogonal polynomials, approximation theory, and harmonic analysis.Jyvaskyla Numerical mathematics and advanced applications. 2003f:65007

Knoxville, TN Recent advances in numerical methods for partial differential equationsand applications. 2003f:65008

Lausanne Developments and trends in iterativemethods for large systems of equations—in memoriam Rudiger Weiss.

Lecture Notes in Computer Science Numerical analysis and its applications. 2003e:65003

Lectures:John H. Barrett Memorial Recent advances in numerical methods for partialdifferential equations and applications. 2003f:65008

Lemnos Boundary elements XXIII. 2003e:65002

Leuven Proceedings of the 9th International Congress on Computational and AppliedMathematics.

Memorial Issue:

Weiss, Rudiger Developments and trends in iterativemethods for large systems ofequations—in memoriamRudiger Weiss.

Mississippi State, MS Proceedings of the Fifth Mississippi State Conference onDifferential Equations and Computational Simulations. 2003m:65006

Monte Carlo and quasi-MonteCarlo methods Monte Carlo and quasi-Monte Carlomethods 2000. 2003i:65006

Multiscale and multiresolution methods Multiscale and multiresolution methods.2003d:65004

Numerical analysis and its applications Numerical analysis and its applications.2003e:65003

NUMERICAL ANALYSIS65–06 2003 1842

Numerical mathematics and advanced applications Numerical mathematics and advancedapplications. 2003f:65007

Numerical methods for ordinary differential equations Numerical methods for ordinarydifferential equations.

Numerical methods of approximation theory and computer aided geometric designNumerical methods of approximation theory and computer aided geometric design.

Orthogonal polynomials, approximation theory, and harmonic analysis Orthogonalpolynomials, approximation theory, and harmonic analysis.

Oxford Godunov methods. 2003j:65004

Plovdiv The Tenth International Colloquium on Numerical Analysis and ComputerScience with Applications.Tenth International Colloquium on Numerical Analysis and Computer Science withApplications.

Proceedings:

Conference on Differential Equations and Computational Simulations Proceedings ofthe Fifth Mississippi State Conference on Differential Equations and ComputationalSimulations. 2003m:65006

Congress on Computational and Applied Mathematics Proceedings of the 9thInternational Congress on Computational and Applied Mathematics.

Recent advances in numerical methods for partial differential equations and applicationsRecent advances in numerical methods for partial differential equations andapplications. 2003f:65008

Rousse Numerical analysis and its applications. 2003e:65003

Seminar:

Numerical Solution of Differential and Differential-AlgebraicEquations Ninth Seminaron Numerical Solution of Differential and Differential-AlgebraicEquations.

Sintra Boundary elements. XXIV. 2003i:65005

SouthHadley, MA Algorithms and complexity for continuous problems/Algorithms,computational complexity, and models of computation for nonlinear and multivariateproblems.

St. Petersburg Вторая Международная Конференция OFEA’2001 “ОптимизацияКонечно-элементных Приближении, Сплаины и Всплески”. [Second InternationalConference OFEA’2001 “Optimization of Finite Element Approximation, Splines andWavelets”]

Symposium:

Progress in Numerical Solutions of Partial Differential Equations Innovativemethodsfor numerical solutions of partial differential equations. 2003f:65006

Workshop:

Numerical Ordinary Differential Equations Numerical methods for ordinarydifferential equations.


(Baines, Michael) see Conference: Numerical Methods for Fluid Dynamics

(Bellomo, N.) see Dedicated to Jim Douglas, Jr. on the occasion of his 75th birthday

(Brezinski, Claude) see Numerical analysis: historical developments in the 20th century,2003k:01021

(Brezzi, Franco) see Dedicated to Jim Douglas, Jr. on the occasion of his 75th birthday

(Chui, Charles K.) see Approximation theory, 2003c:41001 and 2003c:41002

(Doucet, Arnaud) see SequentialMonte Carlo methods in practice, 2003h:65007(Douglas, Jim, Jr.) see Dedicated to Jim Douglas, Jr. on the occasion of his 75th birthday

(Ecer, A.) see Parallel computational fluid dynamics, 2003b:76005

(Edwards, Michael G.) see Locally conservative numerical methods for flow in porous media

(Fiedler, Bernold) see Handbook:Dynamical systems, 2003f:37004

(Floater, Michael S.) see Tutorials on multiresolution in geometric modelling, 2003f:65003(Fox, Patricia L.) see Parallel computational fluid dynamics, 2003b:76005

(de Freitas, Nando) see SequentialMonte Carlo methods in practice, 2003h:65007(Gordon, N. J.) see SequentialMonte Carlo methods in practice, 2003h:65007

(Gunther, Michael M.) see Scientific computing in electrical engineering,2003f:78001(Hecht, Dirk) see Scientific computing in electrical engineering,2003f:78001

(Hoffmann, Karl-Heinz1) see Fast solution of discretized optimization problems, 2003f:49002(Hoppe, RonaldH. W.) see Fast solution of discretized optimization problems, 2003f:49002(Iske, Armin) see Tutorials on multiresolution in geometric modelling, 2003f:65003

(Jamison, K. David) see Interfaces between fuzzy set theory and interval analysis

(Kearfott, R. Baker) see Proceedings: Conference on Validated Computing

(Lai, Choi-Hong) seeWorkshop: Domain DecompositionMethods in Fluid Mechanics

(Lazarov, RaytchoD.) see Locally conservative numerical methods for flow in porous media

(Lodwick, Weldon A.) see Interfaces between fuzzy set theory and interval analysis

(Meister, Andreas2) see Hyperbolic partial differential equations, 2003a:35003

(Mitsui, Taketomo) see Scientific and engineering computations for the 21st century

(Mori, Masatake) see Scientific and engineering computations for the 21st century

(Niederreiter, Harald) see Numerical integration and its complexity

(Pavarino, Luca F.) see Recent developments in domain decomposition methods, 2003k:65167(Periaux, J.) see Parallel computational fluid dynamics, 2003b:76005

(Petras, Knut) see Numerical integration and its complexity

(Quak, Ewald) see Tutorials on multiresolution in geometric modelling, 2003f:65003

(van Rienen, Ursula) see Scientific computing in electrical engineering,2003f:78001(Satofuka,N.) see Parallel computational fluid dynamics, 2003b:76005

(Schulz, Volker H.) see Fast solution of discretized optimization problems, 2003f:49002(Schumaker, Larry L.) see Approximation theory, 2003c:41001and 2003c:41002

(Stockler, Joachim) see Approximation theory, 2003c:41001and 2003c:41002

(Struckmeier, Jens) see Hyperbolic partial differential equations, 2003a:35003(Toselli, Andrea) see Recent developments in domain decompositionmethods, 2003k:65167

(Wilders, P.) see Parallel computational fluid dynamics, 2003b:76005(Wozniakowski, Henryk) see Numerical integration and its complexity

(Wuytack, L.) see Numerical analysis: historical developments in the 20th century,2003k:01021

(Yotov, Ivan) see Locally conservative numerical methods for flow in porous media

(Zhou, Ding-Xuan) seeWavelet analysis, 2003f:42002


Approximation theory Approximation theory X. 2003c:41001Approximation theory X. 2003c:41002

Berlin Fast solution of discretized optimization problems. 2003f:49002

Conference:

ComputationalHarmonic Analysis Wavelet analysis. 2003f:42002Numerical Methods for Fluid Dynamics ICFD Conference on Numerical Methods forFluid Dynamics. ICFD Conference on Numerical Methods for Fluid Dynamics. Part II.

Dedicated to Jim Douglas, Jr. on the occasion of his 75th birthday Dedicated to JimDouglas, Jr. on the occasion of his 75th birthday.

Egmond aan Zee Parallel computational fluid dynamics. 2003b:76005

Fast solution of discretized optimization problems Fast solution of discretized optimiza-tion problems. 2003f:49002

Festschrift:Douglas, Jim, Jr. Dedicated to Jim Douglas, Jr. on the occasion of his 75th birthday.

Hamburg Hyperbolic partial differential equations. 2003a:35003Handbook:

Dynamical systems Handbook of dynamical systems. Vol. 2. 2003f:37004

Hong Kong Wavelet analysis. 2003f:42002Hyperbolic partial differential equations Hyperbolic partial differential equations.

2003a:35003Interfaces between fuzzy set theory and interval analysis Interfaces between fuzzy settheory and interval analysis.

Locally conservative numerical methods for flow in porous media Locally conservativenumerical methods for flow in porous media.

London LMS Workshop on Domain Decomposition Methods in Fluid Mechanics.Munich Tutorials on multiresolution in geometric modelling. 2003f:65003

Numerical analysis: historical developments in the 20th century Numerical analysis:historical developments in the 20th century. 2003k:01021

Numerical integration and its complexity Numerical integration and its complexity.Oberwolfach Numerical integration and its complexity.Oxford ICFD Conference on Numerical Methods for Fluid Dynamics.

ICFD Conference on Numerical Methods for Fluid Dynamics. Part II.Parallel computational fluid dynamics Parallel computational fluid dynamics.

2003b:76005Proceedings:

Conference on Validated Computing Proceedings of the Validated Computing 2002Conference.

Programming Programming.Recent developments in domain decompositionmethods Recent developments in domaindecomposition methods. 2003k:65167


Scientific and engineering computations for the 21st century Scientific and engineeringcomputations for the 21st century.

Scientific computing in electrical engineering Scientific computing in electrical engineer-ing. 2003f:78001


Shizuoka Scientific and engineering computations for the 21st century.St. Louis, MO Approximation theory X. 2003c:41001

Approximation theory X. 2003c:41002Toronto, ON Proceedings of the ValidatedComputing 2002 Conference.Tutorials on multiresolution in geometric modelling Tutorials on multiresolution ingeometric modelling. 2003f:65003

Warnemunde Scientific computing in electrical engineering. 2003f:78001

Wavelet analysis Wavelet analysis. 2003f:42002Workshop:

Domain Decomposition Recent developments in domain decomposition methods.2003k:65167

Domain Decomposition Methods in Fluid Mechanics LMS Workshop on DomainDecomposition Methods in Fluid Mechanics.

Zurich Recent developments in domain decomposition methods. 2003k:65167

65A05 TablesDeuflhard, Peter (with Hohmann, Andreas) Numerical analysis in modern scientificcomputing. 2003i:65001

Hohmann, Andreas see Deuflhard, Peter, 2003i:65001

Items with secondary classifications in 65A05

Schittkowski, Klaus Numerical data fitting in dynamical systems. 2003m:65005

65Bxx Acceleration of convergence

Items with secondary classifications in 65Bxx

(Casares Maldonado, Alejandro) see Overton, Michael L., 2003g:65003Overton, Michael L. Computo numerico con aritmetica de punto flotante IEEE.(Spanish. Spanish summary) [Numerical computing with IEEE floating pointarithmetic] 2003g:65003

65B05 Extrapolation to the limit, deferred corrections

Liu, Gui-Rong seeWang, Jian Guo, 2003c:65002Thukral, R. Introduction to the improved functional epsilon algorithm. (English summary)

2003i:65007

65C Probabilistic methods, simulation and stochastic differential equations1843 2003 65C05

Wang, Jian Guo (with Liu, Gui-Rong) On the optimal shape parameters of radial basisfunctions used for 2-D meshless methods. (English summary) 2003c:65002

Items with secondary classifications in 65B05

Celorrio, Ricardo (with Sayas, Francisco Javier) The collocation method for periodicintegral equations of the second kind. (English summary) 2003c:65146

Liem, Chin Bo (with Shih, Tsi Min; Lu, Tao) Splitting extrapolationmethod for solvingmultidimensional problems in parallel. (English summary) (see 2003f:65005)

Lu, Tao see Liem, Chin Bo et al., (2003f:65005)Roberts, D. E. The vector epsilon algorithm—a residual approach. (English summary)

2003c:65030

Sayas, Francisco Javier see Celorrio, Ricardo, 2003c:65146Shih, Tsi Min see Liem, Chin Bo et al., (2003f:65005)Sidi, Avram New convergence results on the generalized Richardson extrapolation processGREP(1) for logarithmic sequences. (English summary) 2003j:41046

Thukral, R. Similarities of the integral Pade approximants. (English summary)2003f:41024

65B10 Summation of series

Heinrich, Stefan (with Novak, Erich) Optimal summation and integration by determinis-tic, randomized, and quantum algorithms. (English summary) (see 2003i:65006)

Novak, Erich see Heinrich, Stefan, (2003i:65006)Smoktunowicz, Alicja Backward stability of Clenshaw’s algorithm. (English summary)

2003i:65008


Barrio, Roberto (with Yalamov, Plamen) Stability analysis of parallel evaluation of finiteseries of orthogonal polynomials. (English summary) (see 2003e:65003)

Drazin, P. G. see Tourigny, Y., 2003g:41021Greengard, Leslie F. (with Huang, Jingfang) A new version of the fast multipole methodfor screened Coulomb interactions in three dimensions. (English summary) 2003h:78014

Huang, Jingfang see Greengard, Leslie F., 2003h:78014Khan,M. A. H. High-order differential approximants. (English summary) 2003j:40005

Stankovic,Miomir S. (with Vidanovic, Mirjana V.; Trickovic, Slobodan B.) Closed formexpressions for some series over certain trigonometric integrals. (English summary)2003f:33005

(with Trickovic, Slobodan B.; Vidanovic, Mirjana V.) Series over the product of Besseland trigonometric functions. (English summary) 2003f:33006

Tourigny, Y. (with Drazin, P. G.) The dynamics of Pade approximation. (Englishsummary) 2003g:41021

Trickovic, SlobodanB. see Stankovic,Miomir S. et al., 2003f:33005 and 2003f:33006

Vidanovic,Mirjana V. see Stankovic,Miomir S. et al., 2003f:33005 and 2003f:33006Yalamov, Plamen see Barrio, Roberto, (2003e:65003)

65B99 None of the above, but in this section


Burrage, Kevin (with Hertono, G.; Jackiewicz, Z.; Welfert, B. D.) Acceleration ofconvergence of static and dynamic iterations. (English summary) 2003a:65028

Hertono, G. see Burrage, Kevin et al., 2003a:65028Jackiewicz, Z. see Burrage, Kevin et al., 2003a:65028Welfert, B. D. see Burrage, Kevin et al., 2003a:65028

65Cxx Probabilistic methods, simulation and stochasticdifferential equations For theoretical aspects, see68U20 and 60H35.

65C05 Monte Carlo methods

Andrieu, Christophe (with Doucet, Arnaud; Punskaya, Elena) Sequential Monte Carlomethods for optimal filtering. (see 2003h:65007)see also de Freitas, Nando et al., (2003h:65007)

Berg, Bernd A. Multicanonical Monte Carlo simulations. (English summary) (see2003i:65006)Generalized ensemble simulations for complex systems. (English summary)

Bergman, Niclas Posterior Cramer-Rao bounds for sequential estimation. (see2003h:65007)

Berzuini, Carlo (with Gilks, Walter) RESAMPLE-MOVE filtering with cross-modeljumps. (see 2003h:65007)

Blake, Andrew (with Isard, Michael; MacCormick, John) Statisticalmodels of visual shapeand motion. (see 2003h:65007)

Bølviken, Erik (with Storvik, Geir) Deterministic and stochastic particle filters in state-space models. (see 2003h:65007)

Burgard, Wolfram see Fox, Dieter et al., (2003h:65007)Burmistrov, A. V. seeMikhaılov, G. A., 2003m:65007

Chen, Rong1 see Liu, Jun S. et al., (2003h:65007)Christensen,O. F. (withMøller, Jesper1; Waagepetersen, R. P.) Geometric ergodicity ofMetropolis-Hastings algorithms for conditional simulation in generalized linear mixedmodels. (English summary) 2003e:65004

Clapp, Tim see Godsill, Simon J., (2003h:65007)Collamore, J. F. Importance sampling techniques for the multidimensional ruin problemfor general Markov additive sequences of random vectors. (English summary)2003b:65005

Crisan, Dan Particle filters—a theoretical perspective. (see 2003h:65007)Cvitanic, Jaksa (with Goukasian, Levon; Zapatero, Fernando) Monte Carlo computationof optimal portfolios in complete markets. (English summary)

Dahl, Fredrik A. Variance reduction for simulated diffusions using control variatesextracted from state space evaluations. (English summary)

Dellaert, Frank see Fox, Dieter et al., (2003h:65007)Del Moral, Pierre (with Jacod, Jean) Interacting particle filtering with discrete observa-tions. (see 2003h:65007)

Dimov, Ivan T. see Gurov, T. V. et al., (2003e:65003)Djuric, Petar M. Sequential estimation of signals under model uncertainty. (see

2003h:65007)Doucet, Arnaud (with de Freitas, Nando; Gordon, N. J.) An introduction to sequentialMonte Carlo methods. (see 2003h:65007)see also SequentialMonte Carlo methods in practice, 2003h:65007 and Andrieu,Christophe et al., (2003h:65007)

Ermakov, Sergeı Mikhaılovich (withWagner, Wolfgang1) Monte Carlo difference schemesfor the wave equation. (English summary) 2003b:65006

Fang, Kai-Tai Some applications of quasi-Monte Carlo methods in statistics. (Englishsummary) (see 2003i:65006)(withMa, Chang-Xing; Mukerjee, Rahul) Uniformity in fractional factorials. (Englishsummary) (see 2003i:65006)

Faure, Henri (with Tezuka, Shu) Another random scrambling of digital (t, s)-sequences.(English summary) (see 2003i:65006)

Fox, Dieter (with Thrun, Sebastian; Burgard, Wolfram; Dellaert, Frank) Particle filters formobile robot localization. (see 2003h:65007)

de Freitas, Nando (with Andrieu, Christophe; Højen-Sørensen, P.; Niranjan, M.; Gee,Andrew) Sequential Monte Carlo methods for neural networks. (see 2003h:65007)see also SequentialMonte Carlo methods in practice, 2003h:65007;Doucet, Arnaud et al.,2003h:65007 and (2003h:65007)

Friedel, Ilja (with Keller, Alexander) Fast generation of randomized low-discrepancy pointsets. (English summary) (see 2003i:65006)

Fujita, Takahiko (with Ito, Shunji; Ninomiya, Syoiti) The generalized van der Corputsequence and its application to numerical integration. (English summary) (see2003a:00039)(with Ito, Shunji; Ninomiya, Syoiti) The generalized van der Corput sequence and itsapplication to numerical integration. (English summary) 2003c:65003

Fushimi, Masanori seeMorohosi, Hozumi, (2003a:00039)Gee, Andrew see de Freitas, Nando et al., (2003h:65007)Gilks, Walter see Berzuini, Carlo, (2003h:65007)Godsill, Simon J. (with Clapp, Tim) Improvement strategies for Monte Carlo particlefilters. (see 2003h:65007)

Gordon, N. J. see SequentialMonte Carlo methods in practice, 2003h:65007;Doucet, Arnaud

et al., 2003h:65007; (2003h:65007) and Salmond, David, (2003h:65007)Goukasian, Levon see Cvitanic, Jaksa et al.

Grassberger, Peter Go with the winners: a general Monte Carlo strategy. (Englishsummary) 2003g:65005

Green, Peter J. A primer on Markov chain Monte Carlo. (see 2003a:62086)Grenander, Ulf see Srivastava, Anuj et al., (2003h:65007)Gurov, T. V. (withWhitlock, P. A.; Dimov, Ivan T.) A grid free Monte Carlo algorithm forsolving elliptic boundary value problems. (English summary) (see 2003e:65003)

Hickernell, Fred J. (with Hong, Hee Sun) Quasi-Monte-Carlo methods and theirrandomizations. (English summary) 2003g:65006

Obtaining O(N−2+ε) convergence for lattice quadrature rules. (English summary) (see2003i:65006)(withWang, Xiaoqun1) The error bounds and tractability of quasi-Monte Carloalgorithms in infinite dimension. (English summary) 2003i:65009

see alsoWang, Yuan, (2003i:65006)Higuchi, Tomoyuki Self-organizing time series model. (see 2003h:65007)Højen-Sørensen, P. see de Freitas, Nando et al., (2003h:65007)Hong, Hee Sun see Hickernell, Fred J., 2003g:65006Horntrop, David J. Monte Carlo simulation of a random field model for transport. (Englishsummary) 2003b:65007

Hu, Li Ying see Huang, Xu DongHuang, Xu Dong (with Hu, Li Ying) Construction of the Faure sequence without usingmultiplication. (Chinese. English and Chinese summaries)

Hurzeler, Markus (with Kunsch, Hans R.) Approximating and maximising the likelihoodfor a general state-spacemodel. (see 2003h:65007)

Irwin, George W. seeMcGinnity, Shaun, (2003h:65007)Isard, Michael see Blake, Andrew et al., (2003h:65007)Ito, Shunji see Fujita, Takahiko et al., 2003c:65003 and (2003a:00039)Jacod, Jean see Del Moral, Pierre, (2003h:65007)Karaivanova, Aneta seeMascagni,Michael, (2003i:65006)Keller, Alexander see Friedel, Ilja, (2003i:65006) and Kollig, Thomas, (2003i:65006)Kim, Heecheul (with Lee, Seungjoo) Bayesian inference for mixture failure model ofRayleigh and Erlang pattern. (Korean. English and Korean summaries) 2003b:65008

Kitagawa, Genshiro (with Sato, Seisho) Monte Carlo smoothing and self-organising state-space model. (see 2003h:65007)

Koller, Daphne (with Lerner, Uri) Sampling in factored dynamic systems. (see2003h:65007)

Kollig, Thomas (with Keller, Alexander) Efficient bidirectional path tracing by randomizedquasi-Monte Carlo integration. (English summary) (see 2003i:65006)

Kong, Rong (with Spanier, Jerome) Residual versus error in transport problems. (Englishsummary) (see 2003i:65006)

Kubilius, Kestutis (with Platen, Eckhard) Rate of weak convergence of the Eulerapproximation for diffusion processes with jumps. (English summary) 2003h:65003

Kujala, Janne V. see Lukka, Tuomas J., 2003h:65004Kunsch, Hans R. State space and hidden Markov models. (see 2003a:62086)see also Hurzeler, Markus, (2003h:65007)

Lanterman, Aaron D. see Srivastava,Anuj et al., (2003h:65007)Larcher, G. (with Pillichshammer, Friedrich) On the L2-discrepancy of the Sobol-Hammersley net in dimension 3. (English summary) 2003g:65007

Lecot, Christian (with Ogawa, Shigeyoshi) Quasirandom walk methods. (Englishsummary) (see 2003i:65006)

NUMERICAL ANALYSIS65C05 2003 1844

L’Ecuyer, Pierre (with Lemieux, Christiane) Recent advances in randomized quasi-MonteCarlo methods. (English summary) (see 2003m:62005)

Lee, Seungjoo see Kim, Heecheul, 2003b:65008Le Gland, Francois seeMusso, Christian et al., (2003h:65007)Lemieux, Christiane see L’Ecuyer, Pierre, (2003m:62005)Lerner, Uri see Koller, Daphne, (2003h:65007)Liu, Chuanhai Alternating subspace-spanning resampling to accelerateMarkov chainMonte Carlo simulation. (English summary)

Liu, Jane (withWest, Mike) Combined parameter and state estimation in simulation-based filtering. (see 2003h:65007)

Liu, Jun S. (with Chen, Rong1; Logvinenko, Tanya) A theoretical framework forsequential importance sampling with resampling. (see 2003h:65007)

Logvinenko,Tanya see Liu, Jun S. et al., (2003h:65007)Loizeaux,Marc see Srivastava, Anuj et al., (2003h:65007)Lukka, Tuomas J. (with Kujala, Janne V.) Using genetic operators to speed up Markovchain Monte Carlo integration. (English summary) 2003h:65004

Ma, Chang-Xing see Fang, Kai-Tai et al., (2003i:65006)MacCormick, John see Blake, Andrew et al., (2003h:65007)Maire, Sylvain Un algorithme probabiliste de calcul d’approximations polynomiales sur unhypercube. (English and French summaries) [AMonte Carlo computation of polynomialapproximations on a hypercube]

Marchenko,M. A. (withMikhaılov, G. A.) Parallel realization of statistical simulation andrandom number generators. (English summary) 2003e:65005

Marrs, Alan D. In-situ ellipsometry solutions using sequential Monte Carlo. (see2003h:65007)

Mascagni,Michael (with Karaivanova, Aneta) A parallel quasi-Monte Carlo method forcomputing extremal eigenvalues. (English summary) (see 2003i:65006)

McGinnity, Shaun (with Irwin, George W.) Manoeuvring target tracking using a multiple-model bootstrap filter. (see 2003h:65007)

Mikhaılov, G. A. (with Burmistrov, A. V.) The weightedMonte Carlo method forestimating the derivatives of the solution of a conjugate diffusion equation. (Russian)2003m:65007

see alsoMarchenko,M. A., 2003e:65005Miller, Michael I. see Srivastava, Anuj et al., (2003h:65007)Møller, Jesper1 see Christensen, O. F. et al., 2003e:65004Morohosi, Hozumi (with Fushimi, Masanori) Experimental studies of the error estimationof the numerical integration by generalized Niederreiter sequences. (Japanese) (see2003a:00039)

Mosegaard, Klaus (with Sambridge, Malcolm) Monte Carlo analysis of inverse problems.(English summary) 2003f:65009

Moskvin, Vadim (with Papiez, L.) Method of trajectory rotation as a Monte Carlovariance reduction technique. (English summary) 2003h:65005

Mukerjee, Rahul see Fang, Kai-Tai et al., (2003i:65006)Murphy, Kevin P. (with Russell, Stuart) Rao-Blackwellised particle filtering for dynamicBayesian networks. (see 2003h:65007)

Musso, Christian (with Oudjane, Nadia; Le Gland, Francois) Improving regularisedparticle filters. (see 2003h:65007)

Niederreiter, Harald Error bounds for quasi-Monte Carlo integration with uniform pointsets. (English summary) 2003k:65003

Ninomiya, Syoiti see Fujita, Takahiko et al., 2003c:65003 and (2003a:00039)Niranjan, M. see de Freitas, Nando et al., (2003h:65007)Novick, Steven J. (with Stefanski, Leonard A.) Corrected score estimation via complexvariable simulation extrapolation. (English summary)

Ogawa, Shigeyoshi see Lecot, Christian, (2003i:65006)Okten, Giray (with Srinivasan, Ashok) Parallel quasi-Monte Carlo methods on aheterogeneous cluster. (English summary) (see 2003i:65006)

Oudjane,Nadia seeMusso, Christian et al., (2003h:65007)Papiez, L. seeMoskvin, Vadim, 2003h:65005Paruolo, Paolo On Monte Carlo estimation of relative power. (English summary)

2003f:65010Pievatolo, Antonio Simulation via stochastic processes for applied probability and statistics.(Italian)

Pillichshammer, Friedrich see Larcher, G., 2003g:65007Pirsic, Gottlieb Base changes for (t, m, s)-nets and related sequences. (English summary)

2003c:65004

Pitt, Michael K. (with Shephard, Neil) Auxiliary variable based particle filters. (see2003h:65007)

Platen, Eckhard see Kubilius, Kestutis, 2003h:65003Punskaya, Elena see Andrieu, Christophe et al., (2003h:65007)Roberts, Gareth O. (with Rosenthal, Jeffrey S.) Optimal scaling for various Metropolis-Hastings algorithms. (English summary) 2003a:65006

(with Rosenthal, Jeffrey S.) The polar slice sampler. (English summary) 2003f:65011Rosenthal, Jeffrey S. see Roberts, Gareth O., 2003a:65006 and 2003f:65011

Russell, Stuart seeMurphy, Kevin P., (2003h:65007)Sabelfeld,Karl K. (with Shalimova, Irina A.) Random walk on spheres methods foriterative solution of elasticity problems. (English summary) 2003h:65006

Salmond, David (with Gordon, N. J.) Particles and mixtures for tracking and guidance.(see 2003h:65007)

Sambridge,Malcolm seeMosegaard, Klaus, 2003f:65009Sato, Seisho see Kitagawa, Genshiro, (2003h:65007)Shalimova, Irina A. see Sabelfeld,Karl K., 2003h:65006Shephard,Neil see Pitt, Michael K., (2003h:65007)Sloan, Ian H. QMC integration—beating intractability by weighting the coordinatedirections. (English summary) (see 2003i:65006)

Spanier, Jerome see Kong, Rong, (2003i:65006)Srinivasan,Ashok see Okten, Giray, (2003i:65006)Srivastava,Anuj (with Lanterman, Aaron D.; Grenander, Ulf; Loizeaux, Marc;Miller, Michael I.) Monte Carlo techniques for automated target recognition. (see2003h:65007)

Stavropoulos, Photis (with Titterington, D. M.) Improved particle filters and smoothing.

(see 2003h:65007)Stefanski, Leonard A. see Novick, Steven J.

Storvik, Geir see Bølviken, Erik, (2003h:65007)Su, Yingcai Quasi-Monte Carlo methods in designs of spatial sampling points. (Englishsummary) (see 2003i:65006)

Tezuka, Shu Quasi-Monte Carlo—discrepancy between theory and practice. (Englishsummary) (see 2003i:65006)see also Faure, Henri, (2003i:65006)

Thiemard, Eric An algorithm to compute bounds for the star discrepancy. (Englishsummary) 2003f:65012

Thompson, Elizabeth A. Monte Carlo methods on genetic structures. (see 2003a:62086)Thrun, Sebastian see Fox, Dieter et al., (2003h:65007)Titterington, D. M. see Stavropoulos,Photis, (2003h:65007)Waagepetersen,R. P. see Christensen, O. F. et al., 2003e:65004Wagner, Wolfgang1 see Ermakov, Sergeı Mikhaılovich, 2003b:65006Wang, Jian Sheng1 Efficient Monte Carlo simulation methods in statistical physics.(English summary) (see 2003i:65006)

Wang, Xiaoqun1 A constructive approach to strong tractability using quasi-Monte Carloalgorithms. (English summary) 2003m:65008

Strong tractability of multivariate integration using quasi-Monte Carlo algorithms.(English summary) 2003m:65009

see also Hickernell, Fred J., 2003i:65009Wang, Yuan (with Hickernell, Fred J.) An historical overview of lattice point sets. (Englishsummary) (see 2003i:65006)

West, Mike see Liu, Jane, (2003h:65007)Whitlock, P. A. see Gurov, T. V. et al., (2003e:65003)Zapatero, Fernando see Cvitanic, Jaksa et al.



Items with secondary classifications in 65C05

Achcar, Jorge Alberto seeMazucheli, Josmar et al.Akcoglu, Karhan (with Kao,Ming-Yang; Raghavan, Shuba V.) Fast pricing of EuropeanAsian options with provable accuracy: single-stock and basket options. (Englishsummary) (see 2003a:68005)

Albert, James (with Ghosh, Malay) Item response modeling. (English summary) (see2003f:62004)

Alobaidi, Ghada (withMallier, Roland) Using Monte Carlo methods to evaluate sub-optimal exercise policies for American options. (English summary) 2003k:91065

Andries, Pierre (with Bourgat, Jean-Francois; Le Tallec, Patrick; Perthame, Benoıt)Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases.(English summary) 2003c:76111

Andrieu, Christophe (with Doucet, Arnaud; Fitzgerald, William J.) An introduction toMonte Carlo methods for Bayesian data analysis. (English summary) (see 2003f:37002)

Assaraf, Roland see Caffarel, Michel, (2003e:82002)Avellaneda,Marco (with Gamba, Roberta) Conquering the Greeks in Monte Carlo:efficient calculation of thie market sensitivities and hedge-ratios of financial assets bydirect numerical simulation. (English summary) (see 2003i:91001)

Bardet, Jean-Marc (with Lang, Gabriel; Oppenheim, Georges; Philippe, Anne; Taqqu,Murad S.) Generators of long-range dependent processes: a survey. (English summary)(see 2003h:60004)

Bean, N. G. see Hui, K.-P. et al.Berche, Bertrand see Berche, P. E. et al., 2003g:82016 and Chatelain,C. et al., 2003g:82053Berche, P. E. (with Chatelain, C.; Berche, Bertrand; Janke, Wolfhard) Crossover effects inthe bond-diluted Ising model in three dimensions. (English summary) 2003g:82016

see also Chatelain,C. et al., 2003g:82053Binder, Kurt see Brangian, C. et al., 2003g:82064Bogy, David B. see Budaev, Bair V., 2003m:35008Bonvin, John (with Picasso, Marco) A finite element/Monte-Carlomethod for polymerdilute solutions. (English summary) 2003m:65173

Booth, James G. see Caffo, Brian S.

Bourgat, Jean-Francois see Andries, Pierre et al., 2003c:76111Brangian, C. (with Kob, W.; Binder, Kurt) Ergodicity breaking in a mean field Potts glass:a Monte Carlo investigation. (English summary) 2003g:82064

Brooks, S. P. (with Giudici, Paolo; Philippe, Anne) Nonparametric convergenceassessment for MCMC model selection. (English summary)

Budaev, Bair V. (with Bogy, David B.) Application of random walk methods to wavepropagation. (English summary) 2003m:35008

Burmistrov, A. V. (withMikhaılov, G. A.) Estimation of the gradient of the solution of anadjoint diffusion equation by the Monte Carlo method. (English summary) 2003h:60114

Cacciola, P. seeMuscolino, G. et al.

Caffarel, Michel (with Assaraf, Roland) A pedagogical introduction to quantumMonte-Carlo. (English summary) (see 2003e:82002)

Caffo, Brian S. (with Booth, James G.) A Markov chain Monte Carlo algorithm forapproximating exact conditional probabilities. (English summary)

Campillo, Fabien (with Lejay, Antoine) A Monte Carlo method without grid for afractured porous domain model. (English summary) 2003d:76144

Caramellino, Lucia (with Pacchiarotti,Barbara) Sharp estimates for the hitting probabilityon time-dependent barriers for a Brownian Motion. Weak approximation of a Brownianmotion killed on time-dependent barriers. (English summary) 2003h:60118

Carta, Roberto seeMazucheli, Josmar et al.

Casella, George see Levine, Richard A.

Chatelain, C. (with Berche, P. E.; Berche, Bertrand; Janke, Wolfhard) Influence of dilutionon the strong first-order phase transition of the 3D 4-state Potts model. (Englishsummary) 2003g:82053

see also Berche, P. E. et al., 2003g:82016Chauveau, Didier (with Vandekerkhove, Pierre) Improving convergence of the Hastings-Metropolis algorithm with an adaptive proposal. (English summary) 2003b:62152


Chen,Ming-Hui (with Dey, Dipak K.) Bayesian analysis for correlated ordinal datamodels. (English summary) (see 2003f:62004)see also Dey, Dipak K., (2003f:62004)

Clement, Emmanuelle (with Lamberton, Damien; Protter, Philip) An analysis of a leastsquares regression method for American option pricing. (English summary) 2003j:91056

Cordes, Frank see Fischer, Alexander2 et al., (2003f:92003)Davydov,Yu. A. (with Nagaev, A. V.) On two approaches to approximation of multidimen-sional stable laws. (English summary) 2003c:60032

Denison, David G. T. (withMallick, Bani K.) Classification trees. (English summary) (see2003f:62004)

Deuflhard, Peter see Fischer, Alexander2 et al., (2003f:92003)Dey, Dipak K. (with Chen, Ming-Hui) Bayesian model diagnostics for correlated binarydata. (English summary) (see 2003f:62004)see also Chen,Ming-Hui, (2003f:62004)

Ding, Jiu (with Li, Tien-Yien; Zhou, Aihui) Finite approximations of Markov operators.(English summary) 2003g:37155

Dios-Palomares, R. (with Ramos-Millan, A.; Roldan-Casas, J. A.) Analysis on theindividual efficiency prediction in the composed error frontier model. A Monte Carlostudy. (English summary)

Doucet, Arnaud see Andrieu, Christophe et al., (2003f:37002)Entacher, Karl (with Schell, Thomas; Uhl, Andreas) Efficient lattice assessment for LCGand GLP parameter searches. (English summary) 2003c:11088

(Fang, Kai-Tai) seeMonte Carlo and quasi-MonteCarlo methods, 2003i:65006Field, C. A. see Qian, Guoqi, (2003i:65006)Fischer, Alexander2 (with Schutte, Christof; Deuflhard, Peter; Cordes, Frank) Hierarchicaluncoupling-coupling of metastable conformations. (English summary) (see 2003f:92003)

Fitzgerald,William J. see Andrieu, Christophe et al., (2003f:37002)Fox, Bennett L. Filtering the Feynman-Kac formula. (English summary) 2003c:35016

Fruhwirth-Schnatter, Sylvia Markov chain Monte Carlo estimation of classical anddynamic switching and mixturemodels. (English summary)

Gamba, Roberta see Avellaneda,Marco, (2003i:91001)Gao, Jian see Lahiri, Kajal

Ghosh, Malay see Albert, James, (2003f:62004)Giudici, Paolo see Brooks, S. P. et al.

Gobet, Emmanuel Euler schemes and half-space approximation for the simulation ofdiffusion in a domain. (English summary) 2003a:60122

Godsill, Simon J. On the relationship betweenMarkov chain Monte Carlo methods formodel uncertainty. (English summary)

Gomes, M. Ivette (with Oliveira, Orlando) The bootstrap methodology in statistics ofextremes—choice of the optimal sample fraction. (English summary)

Hahn, Jinyong (with Inoue, Atsushi4) A Monte Carlo comparison of various asymptoticapproximations to the distribution of instrumental variables estimators. (Englishsummary) 2003m:91124

Hansen,Martin B. (with Lauritzen, Steffen L.) Nonparametric Bayes inference for concavedistribution functions. (English summary) 2003b:62020

Haro-Lopez,Ruben A. (withMallick, Bani K.; Smith, Adrian F. M.) Binary regressionusing data adaptive robust link functions. (English summary) (see 2003f:62004)

Hatzl, Johannes Value at risk: a mathematical survey and simulation methods. (Englishsummary)

Hickernell, Fred J. see Yue, Rong-Xian,2003g:11086 andMonte Carlo and quasi-MonteCarlo methods, 2003i:65006

Hobert, James P. (with Jones, Galin L.; Presnell, Brett; Rosenthal, Jeffrey S.) On theapplicability of regenerative simulation in Markov chain Monte Carlo. (Englishsummary) 2003m:60200

Hu, Andrea (with Shonkwiler, R.; Spruill, M. C.) Estimating the convergence rate of arestarted search process. (English summary) 2003b:90100

Huber, Mark A bounding chain for Swendsen-Wang. (English summary) 2003m:82045Hui, K.-P. (with Bean, N. G.; Kraetzl, M.; Kroese, D.) The tree cut and merge algorithmfor estimation of network reliability. (English summary)

Inoue, Atsushi4 see Hahn, Jinyong, 2003m:91124

Janke,Wolfhard see Berche, P. E. et al., 2003g:82016 and Chatelain,C. et al., 2003g:82053Janse van Rensburg, E. J. see Rechnitzer, A., 2003j:82039Joe, Stephen see Sloan, Ian H. et al., 2003m:65030 and 2003m:65031Jones, Galin L. see Hobert, James P. et al., 2003m:60200

Kainhofer, Reinhold (with Tichy, Robert F.) QMC methods for the solution of differentialequations with multiple delayed arguments. (English summary)

Kamp, Christel seeMunster, Gernot, 2003g:81268Kao, Ming-Yang see Akcoglu, Karhan et al., (2003a:68005)Kass, Robert E. seeMazucheli, Josmar et al.

Kob,W. see Brangian, C. et al., 2003g:82064Kohatsu-Higa,Arturo (with Pettersson, Roger) Variance reduction methods for simulationof densities on Wiener space. (English summary) 2003f:60096

Kraetzl, M. see Hui, K.-P. et al.

Kroese, D. see Hui, K.-P. et al.Kulmala, Markku see Zapadinsky, Evgeni et al.

Kuo, Frances Y. see Sloan, Ian H. et al., 2003m:65030 and 2003m:65031Kusuoka, Shigeo Monte Carlo method for pricing of Bermuda type derivatives.Lahiri, Kajal (with Gao, Jian) Bayesian analysis of nested logit model by Markov chainMonte Carlo. (English summary)

Lamberton, Damien see Clement, Emmanuelle et al., 2003j:91056Lang, Gabriel see Bardet, Jean-Marc et al., (2003h:60004)Larocque, Jean-Rene see Ng, William et al., (2003j:62003)Lauritzen, Steffen L. see Hansen,Martin B., 2003b:62020Lejay, Antoine see Campillo, Fabien, 2003d:76144Lemieux, Christiane (with Owen, Art B.) Quasi-regression and the relative importance ofthe ANOVA components of a function. (English summary) (see 2003i:65006)

Le Tallec, Patrick see Andries, Pierre et al., 2003c:76111Levine, Richard A. (with Casella, George) Implementations of the Monte Carlo EMalgorithm. (English summary)

Li, Tien-Yien see Ding, Jiu et al., 2003g:37155

Liang, Faming see Liu, Jun S. et al., 2003k:60181Lımnıos, N. see Papadopoulos, Christos, (2003m:62006)Liu, Jun S. (with Liang, Faming; Wong, Wing Hung) A theory for dynamic weighting inMonte Carlo computation. (English summary) 2003k:60181

Machida,Motoya Fill’s algorithm for absolutely continuous stochastically monotonekernels. (English summary) 2003i:60117

Maire, Sylvain Reducing variance using iterated control variates. (English summary)2003m:65028

Makarov, R. N. Combined estimates of the Monte Carlo method for the third boundaryvalue problem for a parabolic-type equation. (English summary) 2003m:65190

Mallick, Bani K. see Haro-Lopez, Ruben A. et al., (2003f:62004)and Denison, David G. T.,(2003f:62004)

Mallier, Roland see Alobaidi, Ghada, 2003k:91065Mazucheli, Josmar (with Achcar, Jorge Alberto; Kass, Robert E.; Carta, Roberto) Useof mixture of distributions for the error in regression models for lifetime data. (Englishsummary)

Meleard, Sylvie Monte-Carlo approximations for 2d Navier-Stokes equations with measureinitial data. (English summary) 2003d:76043

Mikhaılov, G. A. (with Rogazinskiı, S. V.) Weighted Monte Carlo methods for theapproximate solution of the nonlinear Boltzmann equation. (Russian. Russian summary)2003h:82083

see also Burmistrov, A. V., 2003h:60114Mira, Antonietta (with Tierney, Luke) Efficiency and convergence properties of slicesamplers. (English summary) 2003b:62154

Mori, Makoto Construction of two dimensional low discrepancy sequences. (Englishsummary) 2003g:11082

Munster, Gernot (with Kamp, Christel) Distribution of instanton sizes in a simplifiedinstanton gas model. (English summary) 2003g:81268

Muscolino, G. (with Ricciardi, Giuseppe; Cacciola, P.) Monte Carlo simulation in thestochastic analysis of non-linear systems under external stationary Poisson white noiseinput. (English summary)

Nagaev, A. V. see Davydov, Yu. A., 2003c:60032Nekrutkin, V. (with Romkin, K.) Propagation of chaos for Kac particle systems. (Englishsummary) 2003j:65006

Ng, William (with Reilly, James P.; Larocque, Jean-Rene) Sequential MCMC for spatialsignal separation and restoration from an array of sensors. (English summary) (see2003j:62003)

(Niederreiter, Harald) seeMonte Carlo and quasi-MonteCarlo methods, 2003i:65006Okten, Giray Random sampling from low-discrepancy sequences: applications to optionpricing. (English summary) 2003f:91056

Oliveira, Orlando see Gomes, M. IvetteO’Neill, Philip D. A tutorial introduction to Bayesian inference for stochastic epidemicmodels using Markov chainMonte Carlo methods. (English summary)

Oppenheim, Georges see Bardet, Jean-Marc et al., (2003h:60004)Owen, Art B. see Lemieux, Christiane, (2003i:65006)Pacchiarotti, Barbara see Caramellino, Lucia, 2003h:60118Papadopoulos,Christos (with Lımnıos, N.) Quick Monte Carlo methods in stochasticsystems and reliability. (English summary) (see 2003m:62006)

Papageorgiou,Anargyros The Brownian bridge does not offer a consistent advantage inquasi-Monte Carlo integration. (English summary) 2003e:60190

Pauletto, Giorgio Parallel Monte Carlo methods for derivative security pricing. (Englishsummary) (see 2003e:65003)

Perthame, Benoıt see Andries, Pierre et al., 2003c:76111Pettersson, Roger see Kohatsu-Higa,Arturo, 2003f:60096Philippe, Anne see Bardet, Jean-Marc et al., (2003h:60004) and Brooks, S. P. et al.Picasso, Marco see Bonvin, John, 2003m:65173

Picazo, Jorge A. American option pricing: a classification-Monte Carlo (CMC) approach.(English summary) (see 2003i:65006)

Pirjola, Liisa see Zapadinsky, Evgeni et al.

Popescu, Ileana The solution of an integral equation via Monte Carlo simulation. (Englishsummary) 2003m:65240

Presnell, Brett see Hobert, James P. et al., 2003m:60200

Protter, Philip see Clement, Emmanuelle et al., 2003j:91056Qian, Guoqi (with Field, C. A.) Using MCMC for logistic regression model selectioninvolving large number of candidatemodels. (English summary) (see 2003i:65006)

Raghavan, Shuba V. see Akcoglu, Karhan et al., (2003a:68005)Ramos-Millan, A. see Dios-Palomares, R. et al.

Rechnitzer, A. (with Janse van Rensburg, E. J.) Canonical Monte Carlo determination ofthe connective constant of self-avoiding walks. (English summary) 2003j:82039

Reilly, James P. see Ng, William et al., (2003j:62003)Ricciardi, Giuseppe seeMuscolino, G. et al.

Roberts, Gareth O. (with Sahu, Sujit K.) Approximate predetermined convergenceproperties of the Gibbs sampler. (English summary) 2003i:62048

Rogazinskiı, S. V. seeMikhaılov, G. A., 2003h:82083Roldan-Casas, J. A. see Dios-Palomares, R. et al.

Romkin, K. see Nekrutkin, V., 2003j:65006Rosenthal, Jeffrey S. see Hobert, James P. et al., 2003m:60200

Sahu, Sujit K. see Roberts, Gareth O., 2003i:62048Schell, Thomas see Entacher, Karl et al., 2003c:11088Schutte, Christof see Fischer, Alexander2 et al., (2003f:92003)Seydel, Rudiger Tools for computational finance. (English summary) 2003h:91068Shonkwiler, R. see Hu, Andrea et al., 2003b:90100Sloan, Ian H. (withWozniakowski, Henryk) Tractability of multivariate integration forweighted Korobov classes. (English summary) 2003g:65030

(with Kuo, Frances Y.; Joe, Stephen) On the step-by-step construction of quasi-MonteCarlo integration rules that achieve strong tractability error bounds in weighted Sobolevspaces. (English summary) 2003m:65030(with Kuo, Frances Y.; Joe, Stephen) Constructing randomly shifted lattice rules inweighted Sobolev spaces. (English summary) 2003m:65031

Smith, Adrian F. M. see Haro-Lopez, Ruben A. et al., (2003f:62004)


Solo, Victor “Unobserved”Monte Carlo methods for adaptive algorithms. (Englishsummary) (see 2003m:62005)

Speckman, Paul L. see Sun, Dongchu et al., (2003f:62004)Spruill,M. C. see Hu, Andrea et al., 2003b:90100Sun, Dongchu (with Speckman, Paul L.; Tsutakawa, Robert K.) Random effects ingeneralized linear mixed models (GLMMs). (English summary) (see 2003f:62004)

Swartz, Tim Bayesian modeling and computations in final-offer arbitration. (Englishsummary)

Talay, Denis Discretization of stochastic differential equations. Application to simulation.Stochastic numerical methods for partial differential equations. (English summary)2003i:65010

Tang, Li (with Zou, Jie Zhong; Zhu, Qi Ding) Probabilistic methods for numericalsolutions of Dirichlet-Poisson problems over ordinary domains. (Chinese. English andChinese summaries) 2003m:60235

Tanizaki, Hisashi Nonlinear and non-Gaussian state-spacemodeling with Monte Carlotechniques: a survey and comparative study. (English summary) (see 2003m:60005)

Taqqu,Murad S. see Bardet, Jean-Marc et al., (2003h:60004)Tichy, Robert F. see Kainhofer, Reinhold

Tierney, Luke seeMira, Antonietta,2003b:62154Tsutakawa, Robert K. see Sun, Dongchu et al., (2003f:62004)Tunaru, Radu see Vladimirescu, Ion, 2003b:41022Uhl, Andreas see Entacher, Karl et al., 2003c:11088Vandekerkhove,Pierre see Chauveau,Didier, 2003b:62152Vladimirescu, Ion (with Tunaru, Radu) A general approximating method of Riemannintegrals using the central limit theorem. (English summary) 2003b:41022

Wong,Wing Hung see Liu, Jun S. et al., 2003k:60181Wozniakowski, Henryk see Sloan, Ian H., 2003g:65030Xiao, Yi-Jun Some geometric properties of (0, m, 2)-nets in base b ≥ 2. (English summary)

2003b:11072

Xie, Zhongjie see Zheng, Jun, (2003i:65006)Yue, Rong-Xian (with Hickernell, Fred J.) The discrepancy and gain coefficients ofscrambled digital nets. (English summary) 2003g:11086

Zapadinsky,Evgeni (with Pirjola, Liisa; Kulmala, Markku) Effect of cross-correlatedfluctuations on the aerosol dynamics: Monte Carlo simulations. (English summary)

Zheng, Jun (with Xie, Zhongjie) On the Monte-Carlo simulation of several regressionestimators in nonlinear time series. (English summary) (see 2003i:65006)

Zheng, Zhongrong On swapping and simulated tempering algorithms. (English summary)2003m:60197

Zhou, Aihui see Ding, Jiu et al., 2003g:37155Zhu,Qi Ding A probabilistic computing method for elliptic boundary value problems.(Chinese. English and Chinese summaries) 2003d:65112see also Tang, Li et al., 2003m:60235

Zou, Jie Zhong see Tang, Li et al., 2003m:60235


Conference:

Monte Carlo and Quasi-MonteCarlo Methods in Scientific Computing Monte Carloand quasi-Monte Carlo methods 2000. 2003i:65006

Hong Kong Monte Carlo and quasi-Monte Carlo methods 2000. 2003i:65006

Monte Carlo and quasi-MonteCarlo methods Monte Carlo and quasi-Monte Carlomethods 2000. 2003i:65006

65C10 Random number generation

Ceperley, David see Srinivasan, Ashok et al.

Choe, Geon Ho (with Kim, Dong Han) The first return time test of pseudorandomnumbers. (English summary) 2003f:65013

De Matteis, A. (with Pagnutti, S.) Pseudorandom permutation. (English summary)2003a:65007

Devroye, Luc Simulating perpetuities. (English summary) 2003a:65008

Simulating Bessel random variables. (English summary) 2003f:65014

Dwyer, Gerald P., Jr. (withWilliams, K. B.) Portable random number generators. (Englishsummary)

Figotin,Alexander (with Gordon, A. Ya.; Molchanov, Stanislav Alekseevich; Quinn, JosephE.; Stavrakas,N.) Occupancy numbers in testing random number generators. (Englishsummary) 2003k:65004

Fischbach,Ephraim see Tu, Shu-Ju, 2003m:65011

Gargar, Kim Empirical pseudorandom number generators. (English summary) (see2003a:00032)

Gordon, A. Ya. see Figotin, Alexander et al., 2003k:65004Guimond, Louis-Sebastien (with Patera, Jirı; Patera, Jan) Combining random numbergenerators using cut and project sequences. (English summary) 2003c:65005

Hou, Shui Hung see Pang, Wan Kai et al., 2003g:65008Huang, Kuo-Chan seeWu, Pei-Chi et al., 2003b:65009Kao, Chiang see Tang, Hui-Chin, 2003d:65006Kim, Dong Han see Choe, Geon Ho, 2003f:65013Kotulski, Zbigniew Random number generators: algorithms, testing, applications. (Polish)

2003e:65006

L’Ecuyer, Pierre (with Panneton, Francois) Construction of equidistributed generatorsbased on linear recurrences modulo 2. (English summary) (see 2003i:65006)

Leung, P. K. see Pang, Wan Kai et al., 2003g:65008Luo, Ping1 A combined generator based on linear congruential generators and itsstructural improvement. (Chinese. English summary) 2003f:65015

Mascagni,Michael see Srinivasan, Ashok et al.

Matsumoto,Makoto2 (with Nishimura, Takuji) A nonempirical test on the weight ofpseudorandom number generators. (English summary) (see 2003i:65006)

Molchanov,Stanislav Alekseevich see Figotin, Alexander et al., 2003k:65004Niederreiter, Harald (with Shparlinski, Igor E.) Recent advances in the theory of nonlinearpseudorandom number generators. (English summary) 2003k:65005

(with Pirsic, Gottlieb) A Kronecker product construction for digital nets. (Englishsummary) 2003m:65010

Nishimura, Takuji seeMatsumoto,Makoto2, (2003i:65006)Ouyang, Shih-Ting seeWu, Pei-Chi et al., 2003b:65009Pagnutti, S. see De Matteis, A., 2003a:65007Pang, Wan Kai (with Yang, Zhen Hai; Hou, Shui Hung; Leung, P. K.) Non-uniformrandom variate generation by the vertical strip method. (English summary) 2003g:65008

Panneton, Francois see L’Ecuyer, Pierre, (2003i:65006)

Patera, Jan see Guimond, Louis-Sebastien et al., 2003c:65005Patera, Jirı see Guimond, Louis-Sebastien et al., 2003c:65005Pi, Xin Ming A sort of pseudorandom number sequences with extremely long period.(Chinese. English summary) 2003d:65005

Pirsic, Gottlieb A software implementation of Niederreiter-Xing sequences. (Englishsummary) (see 2003i:65006)see also Niederreiter, Harald, 2003m:65010

Quinn, Joseph E. see Figotin, Alexander et al., 2003k:65004Schindler, Werner Efficient online tests for true random number generators. (Englishsummary) (see 2003g:94002)

Shparlinski, Igor E. see Niederreiter, Harald, 2003k:65005Srinivasan, Ashok (withMascagni, Michael; Ceperley, David) Testing parallel randomnumber generators. (English summary)

Stavrakas, N. see Figotin, Alexander et al., 2003k:65004Tang, Hui-Chin (with Kao, Chiang) Lower bounds in spectral tests for vectors ofnonsuccessive values produced by multiple recursive generator with some zeromultipliers. (English summary) 2003d:65006

Combined random number generator via the generalized Chinese remainder theorem.(English summary) 2003c:65006

Tu, Shu-Ju (with Fischbach, Ephraim) Geometric random inner products: a family of testsfor random number generators. (English summary) 2003m:65011

Welch, Lloyd R. The generation of pseudorandom numbers for the simulation of whiteGaussian noise. (English summary) 2003f:65016

Williams, K. B. see Dwyer, Gerald P., Jr.

Wu, Pei-Chi (with Huang, Kuo-Chan; Ouyang, Shih-Ting) Bit-parallel random numbergeneration for discrete uniform distributions. (English summary) 2003b:65009

Yaguchi, Hirotake Construction of a long-period nonalgebraic and nonrecursivepseudorandom number generator. (English summary) 2003k:65006

Yang, Zhen Hai see Pang, Wan Kai et al., 2003g:65008


Bakeva, Verica seeMarkovski, Smile et al., 2003a:11094Bukharaev, R. G. Automaton methodology for the study of random sequences. (Russian)

2003d:68134

Emmerich, Frank Average equidistribution and statistical independence properties ofdigital inversive pseudorandom numbers over parts of the period. (English summary)2003j:11081

Faure, Henri (with Tezuka, Shu) Another random scrambling of digital (t, s)-sequences.(English summary) (see 2003i:65006)

Gligoroski, Danilo seeMarkovski, Smile et al., 2003a:11094Han, Te Sun see Hoshi, Mamoru, 2003b:94026Hastad, Johan (with Naslund, Mats) Practical construction and analysis of pseudo-randomness primitives. (English summary) 2003h:94038

Hickernell, Fred J. (with Hong, Hee Sun) Quasi-Monte-Carlo methods and theirrandomizations. (English summary) 2003g:65006

Hong, Hee Sun see Hickernell, Fred J., 2003g:65006Hoshi, Mamoru (with Han, Te Sun) Interval algorithm for homophonic coding. (Englishsummary) 2003b:94026

Kim, Dong Han The first return time test of pseudorandom numbers. (English summary)(see 2003a:00039)

Larin, M. V. Transitive polynomial transformations of residue rings. (Russian. Russiansummary) 2003h:11021

L’Ecuyer, Pierre (with Simard, Richard; Wegenkittl, Stefan) Sparse serial tests ofuniformity for random number generators. (English summary) 2003m:60049

Liang, Po A neural network method for generating the linear prediction coefficients ofrandom sequences. (Chinese. English and Chinese summaries) 2003m:60106

Limic, Nedzad On completely equidistributed numbers. (English summary) 2003k:11126

Marchenko, M. A. (withMikhaılov, G. A.) Parallel realization of statistical simulation andrandom number generators. (English summary) 2003e:65005

Markovski, Smile (with Gligoroski, Danilo; Bakeva, Verica) Random walk tests forpseudo-random number generators. (English summary) 2003a:11094

Matsumoto, Makoto2 (with Nishimura, Takuji) Deviation of pseudorandom numbers andweight test. (English summary) (see 2003a:00039)

Meidl, Wilfried (withWinterhof, Arne) On the linear complexity profile of explicitnonlinear pseudorandom numbers. (English summary) 2003m:68060

Mikhaılov, G. A. seeMarchenko,M. A., 2003e:65005Naslund, Mats (with Russell, Alexander) Achieving optimal fairness from biased coinflips.(English summary) 2003j:60010

see also Hastad, Johan, 2003h:94038Niederreiter, Harald (withWinterhof, Arne) Lattice structure and linear complexity ofnonlinear pseudorandom numbers. (English summary) 2003k:11129

Nishimura, Takuji seeMatsumoto,Makoto2, (2003a:00039)

Russell, Alexander see Naslund, Mats, 2003j:60010Simard, Richard see L’Ecuyer, Pierre et al., 2003m:60049

Sobol′, Il′ya Meerovich Range—a qualitativemeasure of the irregularity of a distribution.(Russian. English and Russian summaries)

Tezuka, Shu see Faure, Henri, (2003i:65006)Wegenkittl, Stefan see L’Ecuyer, Pierre et al., 2003m:60049

Winterhof, Arne see Niederreiter, Harald, 2003k:11129 andMeidl, Wilfried, 2003m:68060

Yaguchi, Hirotake Parallel generating of long-period nonrecursive pseudorandom numbers.(Japanese. English summary) (see 2003a:00039)


Yasutomi, Kenji A limit theorem for sequences generated by Weyl transformation:disappearance of dependence. (English summary) 2003i:11110

Zubkov, A. M. Peculiarities of two-dimensional distributions of a sequence generated by alinear congruential generator. (Russian. Russian summary) 2003b:11073

65C20 Models, numerical methods [see also 68U20]

Hald, Ole H. (with Kupferman, Raz) Convergence of optimal prediction for nonlinearHamiltonian systems. (English summary) 2003f:65017

Kupferman, Raz see Hald, Ole H., 2003f:65017Langford, Eric (with Langford, Rebecca) Solution of the inverse coupon collector’sproblem. (English summary) 2003f:65018

Langford, Rebecca see Langford, Eric, 2003f:65018


Aitken, G. J. M. seeMcGaughey, Donald R.

Basso, Antonella (with Nardon, Martina; Pianca, Paolo) An analysis of the effectsof continuous dividends on the exercise of American options. (English summary)2003i:91048

Berg, Bernd A. Multicanonical Monte Carlo simulations. (English summary) (see2003i:65006)

Boyle, Phelim P. (with Kolkiewicz, AdamW.; Tan, Ken Seng) Pricing American derivativesusing simulation: a biased low approach. (English summary) (see 2003i:65006)

Chen,Han-Fu see Fang,Hai-Tao, 2003b:62149Crisan, Dan (with Lyons, Terence J.) Optimal filtering on discrete sets. 2003k:93097Egecioglu, Omer (with Srinivasan, Ashok) Efficient nonparametric density estimation onthe sphere with applications in fluid mechanics. (English summary) 2003b:62079

Emsermann, Markus (with Simon, Burton) Improving simulation efficiency with quasicontrol variates. (English summary) 2003h:62105

Fang,Hai-Tao (with Chen, Han-Fu) Asymptotic behavior of asynchronous stochasticapproximation. (English summary) 2003b:62149

Kolkiewicz, Adam W. see Boyle, Phelim P. et al., (2003i:65006)Kozachenko,Yu. V. (with Tegza, Antonına M.) Application of the theory of Subϕ(Ω)spaces of random variables for determining the accuracy of the modeling of stationaryGaussian processes. (Ukrainian. Ukrainian summary) 2003j:60049

Lecot, Christian (with Ogawa, Shigeyoshi) Quasirandom walk methods. (Englishsummary) (see 2003i:65006)

Li, Genyuan (withWang, Sheng-Wei; Rosenthal, Carey; Rabitz, Herschel) Highdimensional model representations generated from low dimensional data samples. I. mp-Cut-HDMR. (English summary) 2003a:93005

Lyons, Terence J. see Crisan, Dan, 2003k:93097McGaughey, Donald R. (with Aitken, G. J. M.) Generating two-dimensional fractionalBrownian motion using the fractionalGaussian process (FGp) algorithm. (Englishsummary)

Mosegaard, Klaus (with Sambridge, Malcolm) Monte Carlo analysis of inverse problems.(English summary) 2003f:65009

Nardon, Martina see Basso, Antonella et al., 2003i:91048Ogawa, Shigeyoshi see Lecot, Christian, (2003i:65006)Pianca, Paolo see Basso, Antonella et al., 2003i:91048Rabitz, Herschel see Li, Genyuan et al., 2003a:93005Rosa-Clot,Marco (with Taddei, Stefano) A path integral approach to derivative securitypricing. II. Numerical methods. (English summary) 2003f:91059

Rosenthal,Carey see Li, Genyuan et al., 2003a:93005Sambridge,Malcolm seeMosegaard, Klaus, 2003f:65009Simon, Burton see Emsermann, Markus, 2003h:62105Srinivasan,Ashok see Egecioglu, Omer, 2003b:62079Taddei, Stefano see Rosa-Clot,Marco, 2003f:91059Tan, Ken Seng see Boyle, Phelim P. et al., (2003i:65006)Tegza, AntonınaM. see Kozachenko,Yu. V., 2003j:60049Wang, Sheng-Wei see Li, Genyuan et al., 2003a:93005

65C30 Stochastic differential and integral equations

Abukhaled,Marwan I. (with Allen, Edward J.) Expectation stability of second-order weaknumerical methods for stochastic differential equations. (English summary) 2003e:65007

Allen, Edward J. see Abukhaled,Marwan I., 2003e:65007Babuska, Ivo M. (with Chatzipantelidis, Panagiotis) On solving elliptic stochastic partialdifferential equations. (English summary) 2003f:65019

see also Deb, Manas K. et al., 2003g:65009Bokor, Rozsa Horvath Stochastically stable one-step approximations of solutions ofstochastic ordinary differential equations. (English summary) 2003m:65012

Chatzipantelidis,Panagiotis see Babuska, Ivo M., 2003f:65019Deb, ManasK. (with Babuska, Ivo M.; Oden, J. Tinsley) Solution of stochastic partialdifferential equations using Galerkin finite element techniques. (English summary)2003g:65009

Debussche, Arnaud (with Di Menza, L.) Numerical resolution of stochastic focusing NLSequations. (English summary) 2003f:65020

Di Menza, L. see Debussche, Arnaud, 2003f:65020Du, Qiang (with Zhang, Tianyu) Numerical approximation of some linear stochasticpartial differential equations driven by special additive noises. (English summary)2003m:65013

Higham, Desmond J. (withMao, Xuerong; Stuart, Andrew M.) Strong convergence ofEuler-type methods for nonlinear stochastic differential equations. (English summary)2003j:65005

Hofmann, Norbert (withMuller-Gronbach, Thomas; Ritter, Klaus) Linear vs standardinformation for scalar stochastic differential equations. (English summary) 2003e:65008

Karniadakis,George Em see Xiu, Dongbin, 2003h:65008Kloeden, P. E. The systematic derivation of higher order numerical schemes for stochasticdifferential equations. 2003k:65007

Kuchler, Uwe (with Platen, Eckhard) Weak discrete time approximation of stochasticdifferential equations with time delay. (English summary) 2003f:65021

Mao, Xuerong (with Sabanis, Sotirios) Numerical solutions of stochastic differential delayequations under local Lipschitz condition. (English summary) 2003k:65008

see also Higham, Desmond J. et al., 2003j:65005Mitsui, Taketomo see Saito, Yoshihiro2, 2003m:65014Muller-Gronbach, Thomas The optimal uniform approximation of systems of stochasticdifferential equations. (English summary) 2003e:65009see also Hofmann, Norbert et al., 2003e:65008

Oden, J. Tinsley see Deb, Manas K. et al., 2003g:65009Platen, Eckhard see Kuchler, Uwe, 2003f:65021Ritter, Klaus see Hofmann, Norbert et al., 2003e:65008Sabanis, Sotirios seeMao, Xuerong, 2003k:65008Saito, Yoshihiro2 (withMitsui, Taketomo) Mean-square stability of numerical schemes forstochastic differential systems. (English summary)(withMitsui, Taketomo) Mean-square stability of numerical schemes for stochasticdifferential systems. (English summary) 2003m:65014

Stuart, Andrew M. see Higham, Desmond J. et al., 2003j:65005Talay, Denis Discretization of stochastic differential equations. Application to simulation.Stochastic numerical methods for partial differential equations. (English summary)2003i:65010

Tocino, A. (with Vigo-Aguiar, Jesus) Weak second order conditions for stochastic Runge-Kutta methods. (English summary) 2003m:65015

Vigo-Aguiar, Jesus see Tocino, A., 2003m:65015

Xiu, Dongbin (with Karniadakis, George Em) Modeling uncertainty in steady statediffusion problems via generalized polynomial chaos. (English summary) 2003h:65008

Yau, Shing-Tung (with Yau, Stephen S.-T.) Real-time numerical solution to Duncan-Mortensen-Zakai equation. 2003k:65009

Yau, Stephen S.-T. see Yau, Shing-Tung,2003k:65009Zhang, Tianyu see Du, Qiang, 2003m:65013


Ayoola, E. O. Lagrangian quadrature schemes for computing weak solutions of quantumstochastic differential equations. (English summary) 2003e:60121

Burrage, Kevin see Burrage, P. M., 2003i:60099 and Tian, Tian Hai

Burrage, P. M. (with Burrage, Kevin) A variable stepsize implementation for stochasticdifferential equations. (English summary) 2003i:60099

Chauviere, C. A new method for micro-macro simulations of viscoelastic flows. (Englishsummary) 2003g:76089

Czarkowski, Krzysztof (with Słominski, Leszek) Approximation of solutions of SDEs withoblique reflection on an orthant. (English summary) 2003k:60128

Fort, Jean-Claude (with Pages, Gilles) Decreasing step stochastic algorithms: a.s.behaviour of weighted empirical measures. (English summary) 2003h:62074

Gobet, Emmanuel Euler schemes and half-space approximation for the simulation ofdiffusion in a domain. (English summary) 2003a:60122

Hausenblas, Erika Numerical analysis of semilinear stochastic evolution equations inBanach spaces. (English summary) 2003j:35338

Error analysis for approximation of stochastic differential equations driven by Poissonrandom measures. (English summary) 2003f:60100

Approximation for semilinear stochastic evolution equations. (English summary)2003m:60167

Jimenez, Juan Carlos A simple algebraic expression to evaluate the local linearizationschemes for stochastic differential equations. (English summary) 2003d:60113

Karniadakis, George Em see Xiu, Dongbin, 2003m:60174

Kohatsu-Higa,Arturo (with Pettersson, Roger) Variance reduction methods for simulationof densities on Wiener space. (English summary) 2003f:60096

Kul′chitskiı, O. Yu. (with Kuznetsov, D. F.) Numerical modeling of solutions of stochasticsystems of linear stationary differential equations. (Russian. English and Russiansummaries) 2003c:60113

Kuznetsov, D. F. see Kul′chitskiı, O. Yu., 2003c:60113Loghmani, G. Barid seeMohseni Moghadam,M., 2003a:60090Ma, Jin (with Protter, Philip; San Martın, Jaime; Torres, Soledad) Numerical method forbackward stochastic differential equations. (English summary) 2003d:60126

Mascarenhas,Maria Luisa (with Toader, Anca-Maria) Scale convergence in homogeniza-tion. (English summary) 2003c:49023

Mil′shteın, G. N. (with Repin, Yu. M.; Tret′yakov, Mikhail V.) Symplectic integration ofHamiltonian systems with additivenoise. (English summary) 2003e:37126

Mohseni Moghadam,M. (with Loghmani, G. Barid) Hybrid methods for stochasticordinary differential equations. (English summary) 2003a:60090

Munk, Claus The Markov chain approximation approach for numerical solution ofstochastic control problems: experiences fromMerton’s problem. (English summary)2003h:93082

Nakayama, Toshiyuki Approximation of BSDE’s by stochastic difference equations.(English summary) 2003f:60104

Pages, Gilles see Fort, Jean-Claude,2003h:62074Papiez, L. (with Tulovsky, Vladimir) A stochastic model of the evolution derived fromelastic velocity process with mixed diffusion-jump characteristics. (English summary)

Pettersson, Roger see Kohatsu-Higa,Arturo, 2003f:60096Protter, Philip seeMa, Jin et al., 2003d:60126Repin, Yu. M. seeMil′shteın, G. N. et al., 2003e:37126Rubenthaler, Sylvain Numerical simulation of the solution of a stochastic differentialequation driven by a Levy process. (English summary) 2003j:60093

San Martın, Jaime seeMa, Jin et al., 2003d:60126Słominski, Leszek see Czarkowski, Krzysztof, 2003k:60128Socha, L. Probability density statistical and equivalent linearization techniques. (Englishsummary) 2003c:60114

Stoyanov, Jordan Moment problems related to the solutions of stochastic differentialequations. (English summary) 2003i:60094

Theting, Thomas Gorm Solving parabolic Wick-stochastic boundary value problems usinga finite element method. (English summary) 2003m:60173


Tian, Tian Hai (with Burrage, Kevin) Two-stage stochastic Runge-Kutta methods forstochastic differential equations. (English summary)

Toader, Anca-Maria seeMascarenhas,Maria Luisa, 2003c:49023Torres, Soledad seeMa, Jin et al., 2003d:60126Tret′yakov, Mikhail V. seeMil′shteın, G. N. et al., 2003e:37126Tulovsky, Vladimir see Papiez, L.

Xiu, Dongbin (with Karniadakis, George Em) The Wiener-Askey polynomial chaos forstochastic differential equations. (English summary) 2003m:60174

Yan, Liqing The Euler scheme with irregular coefficients. (English summary) 2003f:60115

Zhang, Yinnan (with Zheng, Weian) Discretizing a backward stochastic differentialequation. (English summary) 2003i:60105

Zheng,Weian see Zhang, Yinnan, 2003i:60105

65C35 Stochastic particle methods [see also 82C80]

Kraft, Markus (withWagner, Wolfgang1) An efficient stochastic chemistry approximationfor the PDF transport equation. (English summary) 2003k:65010

Larina, I. N. (with Rykov, V. A.) A numerical method of second order accuracy for solvingthe Boltzmann equation for small Knudsen numbers. (Russian. Russian summary)2003i:65011

Nekrutkin, V. (with Romkin, K.) Propagation of chaos for Kac particle systems. (Englishsummary) 2003j:65006

Romkin, K. see Nekrutkin, V., 2003j:65006Rykov, V. A. see Larina, I. N., 2003i:65011Wagner, Wolfgang1 see Kraft, Markus, 2003k:65010


Azmy, Y. Y. Unconditionally stable and robust adjacent-cell diffusive preconditioningof weighted-difference particle transport methods is impossible. (English summary)2003k:82098

Crisan, Dan (with Lyons, Terence J.) Minimal entropy approximations and optimalalgorithms. (English summary) 2003m:93090

Fournier, Nicolas (withMeleard, Sylvie) A stochastic particle numerical method for 3DBoltzmann equations without cutoff. (English summary) 2003a:60128

Graham, Carl (withMeleard, Sylvie) Probabilistic tools and Monte-Carlo approximationsfor some Boltzmann equations. (English summary) 2003a:82062

Itoh, Yoshiaki Interacting particle systems for random genetic drift. (see 2003a:00039)Lipatov, Alexander S. The hybrid multiscale simulation technology. (English summary)

2003g:76122

Lyons, Terence J. see Crisan, Dan, 2003m:93090

Meleard, Sylvie see Fournier, Nicolas, 2003a:60128 and Graham, Carl, 2003a:82062

65C40 Computational Markov chains

Klapka, Stepan (withMayer, Petr) Aggregation/disaggregationmethod for safety models.(English summary) 2003e:65010

Marek, Ivo Iterative aggregation/disaggregationmethods for computing some characteris-tics of Markov chains. II. Fast convergence. (English summary)

Mayer, Petr see Klapka, Stepan, 2003e:65010


Alfa, Attahiru Sule (with Sengupta, Bhaskar; Takine, Tetsuya; Xue, Jungong) A newalgorithm for computing the rate matrix of GI/M/1 type Markov chains. (Englishsummary) 2003f:60123

Benzi, Michele (with Tuma, Miroslav) A parallel solver for large-scale Markov chains.(English summary) 2003f:65048

Bladt,Mogens (withMeini, Beatrice; Neuts, Marcel F.; Sericola, Bruno) Distributions ofreward functions on continuous-time Markov chains. (English summary) 2003d:60147

Bresler, Yoram see Robini,Marc C. et al., 2003h:60108Chalmond, Bernard Modeling and inverse problems in imaging analysis. 2003k:68117

Cho, Grace E. (withMeyer, Carl D.) Comparison of perturbation bounds for thestationary distribution of a Markov chain. (English summary) 2003d:60137

Cordes, Frank see Fischer, Alexander2 et al., (2003f:92003)Deuflhard, Peter see Fischer, Alexander2 et al., (2003f:92003)Doge, Gunter seeMase, Shigeru et al., 2003b:60067Fischer, Alexander2 (with Schutte, Christof; Deuflhard, Peter; Cordes, Frank) Hierarchicaluncoupling-coupling of metastable conformations. (English summary) (see 2003f:92003)

Fort, G. (withMoulines, Eric) Polynomial ergodicity of Markov transition kernels.(English summary) 2003k:60190

Gambin, Anna (with Pokarowski, Piotr) A new combinatorial algorithm for largeMarkovchains (extended abstract). (English summary) (see 2003f:68002)

Glynn, Peter W. see Henderson, ShaneG., 2003d:60144Graham, Carl (withMeleard, Sylvie) Probabilistic tools and Monte-Carlo approximationsfor some Boltzmann equations. (English summary) 2003a:82062

Guo, Chun-Hua Convergence analysis of the Latouche-Ramaswami algorithm for nullrecurrent quasi-birth-death processes. (English summary) 2003f:15023

Haggstrom,Olle Finite Markov chains and algorithmic applications. (English summary)2003f:60002

Henderson, ShaneG. (with Glynn, Peter W.) Approximating martingales for variancereduction in Markov process simulation. (English summary) 2003d:60144

Heyman, D. Numerical methods in queueing theory. (see 2003m:60005)Kendall,Wilfrid S. (withMontana, Giovanni) Small sets and Markov transition densities.(English summary) 2003c:60118

Kozine, Igor O. (with Utkin, Lev V.) Interval-valued finite Markov chains. (Englishsummary) 2003b:65048

Machida,Motoya Fill’s algorithm for absolutely continuous stochastically monotonekernels. (English summary) 2003i:60117

Madras, Neal (with Randall, Dana) Markov chain decomposition for convergence rateanalysis. (English summary) 2003d:60135

Magnin, Isabelle E. see Robini,Marc C. et al., 2003h:60108

(Maıtre, Henri) see Chalmond, Bernard, 2003k:68117Manita, A. D. Long-time behavior of multi-particle Markovian models. (English summary)(see 2003f:62003)

Marek, Ivo (withMayer, Petr) Aggregation/disaggregationmethods for p-cyclicMarkovchains. (English summary) 2003e:60164

(withMayer, Petr) Aggregation/disaggregation iterativemethods applied to Leontevsystems and Markov chains. (English summary) 2003e:15026

Mase, Shigeru (withMøller, Jesper1; Stoyan, Dietrich; Waagepetersen, R. P.; Doge,Gunter) Packing, densities and simulated tempering for hard core Gibbs point processes.(English summary) 2003b:60067

Mayer, Petr seeMarek, Ivo, 2003e:15026 and 2003e:60164Meini, Beatrice see Bladt, Mogens et al., 2003d:60147Meleard, Sylvie see Graham, Carl, 2003a:82062Meyer, Carl D. see Cho, Grace E., 2003d:60137Miclo, L. About relaxation time of finite generalizedMetropolis algorithms. (Englishsummary) 2003i:60118

Møller, Jesper1 seeMase, Shigeru et al., 2003b:60067Montana, Giovanni see Kendall,Wilfrid S., 2003c:60118Moulines, Eric see Fort, G., 2003k:60190Munk, Claus The Markov chain approximation approach for numerical solution ofstochastic control problems: experiences fromMerton’s problem. (English summary)2003h:93082

Neuts, Marcel F. see Bladt,Mogens et al., 2003d:60147Pokarowski, Piotr see Gambin, Anna, (2003f:68002)Randall, Dana seeMadras, Neal, 2003d:60135Robini, Marc C. (with Bresler, Yoram; Magnin, Isabelle E.) On the convergence ofMetropolis-type relaxation and annealing with constraints. (English summary)2003h:60108

Schutte, Christof see Fischer, Alexander2 et al., (2003f:92003)Sengupta,Bhaskar see Alfa, Attahiru Sule et al., 2003f:60123Sericola, Bruno see Bladt, Mogens et al., 2003d:60147Shaikhet, Leonid Numerical simulation and stability of stochastic systems with Markovianswitching. (English summary) 2003g:60103

Stoyan, Dietrich seeMase, Shigeru et al., 2003b:60067Takine, Tetsuya see Alfa, Attahiru Sule et al., 2003f:60123Tuma, Miroslav see Benzi, Michele, 2003f:65048Tweedie, Richard Lewis Markov chains: structure and applications. (see 2003b:60109)Utkin, Lev V. see Kozine, Igor O., 2003b:65048Waagepetersen,R. P. seeMase, Shigeru et al., 2003b:60067Xue, Jungong see Alfa, Attahiru Sule et al., 2003f:60123

65C50 Other computational problems in probability


Azaıs, Jean-Marc (withWschebor, Mario) The distribution of the maximum of aGaussian process: Rice method revisited. (English summary) 2003d:60075

Barzanti, Luca An algorithm for the approximation of the asymmetric stable densities usingcubic B-splines. (English summary)

Chen, Hong3 see Shen, Xinyang et al., 2003k:90006Crisan, Dan Numerical methods for solving the stochastic filtering problem. 2003j:60092

Dai, J. G. see Shen, Xinyang et al., 2003k:90006Dai, Wanyang see Shen, Xinyang et al., 2003k:90006Fischbach, Ephraim see Tu, Shu-JuFischer, Martin J. seeMasi, Denise M. Bevilacqua et al., 2003d:60186Guglielmi, Alessandra (with Holmes, Christopher C.; Walker, Stephen G.) Perfectsimulation involving functionals of a Dirichlet process. (English summary)

Harris, Carl M. seeMasi, Denise M. Bevilacqua et al., 2003d:60186Holmes, ChristopherC. see Guglielmi, Alessandra et al.

Langford, Eric (with Langford, Rebecca) Solution of the inverse coupon collector’sproblem. (English summary) 2003f:65018

Langford, Rebecca see Langford, Eric, 2003f:65018Masi, Denise M. Bevilacqua (with Fischer, Martin J.; Harris, Carl M.) Computation ofsteady-state probabilities for resource-sharing call-center queueing systems. (Englishsummary) 2003d:60186

Shen, Xinyang (with Chen, Hong3; Dai, J. G.; Dai, Wanyang) The finite element methodfor computing the stationary distribution of an SRBM in a hypercube with applicationsto finite buffer queueing networks. (English summary) 2003k:90006

Tu, Shu-Ju (with Fischbach, Ephraim) Random distance distribution for spherical objects:general theory and applications to physics. (English summary)

Walker, StephenG. see Guglielmi, Alessandra et al.

Wschebor, Mario see Azaıs, Jean-Marc, 2003d:60075

65C60 Computational problems in statistics


Basu, Sankar (withMicchelli, Charles A.; Olsen, Peder) A maximum entropy criterion forfeature extraction. (English summary) 2003d:94031

Brito, Marıa R. (with Quiroz, Adolfo J.; Yukich, J. E.) Graph-theoretic procedures fordimension identification. (English summary) 2003c:62110

Campolongo, Francesca (with Saltelli, Andrea; Sørensen, Tine; Tarantola, Stefano)Hitchhiker’s guide to sensitivity analysis. (see 2003c:62008)

(Chan, Karen) see Sensitivity analysis, 2003c:62008Davidson, J. W. (with Savic, D. A.; Walters, G. A.) Symbolic and numerical regression:experiments and applications. (English summary)

Dechevsky, Lubomir T. (withMacGibbon, Brenda; Penev, Spiridon) Numerical methodsfor asymptotically minimax non-parametric function estimation with positivityconstraints. I. (English summary) 2003e:62078

Gentle, James E. Elements of computational statistics. 2003j:62001

65D Numerical approximation and computational geometry (primarily algorithms)1849 2003 65D05

Genton,Marc G. see Gorsich, David J. et al., 2003a:62068Gorsich, David J. (with Genton, Marc G.; Strang, Gilbert) Eigenstructures of spatialdesign matrices. (English summary) 2003a:62068

Higuchi, Tomoyuki see Kitagawa, Genshiro et al.Ji, Jun (with Kicey, C.) An algorithm for l∞ regression with quadratic complexity.(English summary) 2003b:62137

Kicey, C. see Ji, Jun, 2003b:62137Kitagawa, Genshiro (with Higuchi, Tomoyuki; Sato, Seisho) Computational methods fortime series analysis. (English summary)

MacGibbon,Brenda see Dechevsky, Lubomir T. et al., 2003e:62078Micchelli, Charles A. see Basu, Sankar et al., 2003d:94031Olsen, Peder see Basu, Sankar et al., 2003d:94031Penev, Spiridon see Dechevsky, Lubomir T. et al., 2003e:62078Quiroz, Adolfo J. see Brito, Marıa R. et al., 2003c:62110Romanova, T. A. Numerical analysis of the Piterbarg-Tyurin criteria for testing theindependence and homogeneity hypotheses. (Russian. Russian summary)

Rose, Colin (with Smith, Murray D.) Mathematical statistics with Mathematica.(English summary) 2003e:62003

Saltelli, Andrea see Sensitivity analysis, 2003c:62008 and Campolongo, Francesca et al.,(2003c:62008)

Sato, Seisho see Kitagawa, Genshiro et al.Savic, D. A. see Davidson, J. W. et al.

(Scott, E. Marian) see Sensitivity analysis, 2003c:62008Smith, Murray D. see Rose, Colin, 2003e:62003Sørensen, Tine see Campolongo,Francesca et al., (2003c:62008)Strang, Gilbert see Gorsich, David J. et al., 2003a:62068Tarantola, Stefano see Campolongo,Francesca et al., (2003c:62008)Tret′yakov, G. L. Stochastic quasi-gradient algorithms for maximization of the probabilityfunction. A new formula for the gradient of the probability function. (English summary)2003j:90033

Walters, G. A. see Davidson, J. W. et al.Yukich, J. E. see Brito, Marıa R. et al., 2003c:62110


Sensitivity analysis Sensitivity analysis. 2003c:62008

65C99 None of the above, but in this section


Chorin, Alexandre J. (with Hald, Ole H.; Kupferman, Raz) Optimal prediction withmemory. (English summary) 2003e:62150

Hald, Ole H. see Chorin, Alexandre J. et al., 2003e:62150Kupferman, Raz see Chorin, Alexandre J. et al., 2003e:62150

65Dxx Numerical approximation and computationalgeometry (primarily algorithms) For theory, see41–XX and 68Uxx.

Items with secondary classifications in 65Dxx(Ionescu, Dumitru V.) seeMathematical contributions of D. V. Ionescu, 2003f:01056(Rus, Ioan A.) seeMathematical contributions of D. V. Ionescu, 2003f:01056


Festschrift:

Ionescu, Dumitru V. Mathematical contributions of D. V. Ionescu. 2003f:01056Mathematical contributions of D. V. Ionescu Mathematical contributions of D. V.Ionescu. 2003f:01056

65D05 Interpolation

Allasia, G. Approximating potential integrals by cardinal basis interpolants on multivariatescattered data. (English summary) 2003a:65009

Boissonnat, Jean-Daniel (with Cazals, Frederic) Smooth surface reconstruction via naturalneighbour interpolation of distance functions. (English summary) 2003b:65010

Buhmann,M. D. Radial basis functions. (English summary) 2003g:65010

Carnicer, J. M. (with Garcıa-Esnaola, M.) Lagrange interpolation on conics and cubics.(English summary) 2003c:65007

Cazals, Frederic see Boissonnat, Jean-Daniel,2003b:65010Cerbelli, Stefano see Giona, Massimiliano, 2003d:65007Chen, Shao Chun see Song, Shi Cang et al.

Chu, Ch’uan I see Xu, Guo Liang et al., 2003e:65014De Marchi, Stefano (with Ligun, A. A.; Timchenko, S. V.; Shumeıko, A. A.) Aninterpolant defined by subdivision and the analysis of the error. (English summary)2003f:65022

Dodu, F. (with Rabut, C.) Vectorial interpolation using radial-basis-like functions.(English summary) 2003a:65010

Donchenko,Volodimir S. The density accumulator function in the Hough transform forconvex sets and its behavior. (Ukrainian. English and Ukrainian summaries)

Farouki, Rida T. (with al-Kandari,Mohammad; Sakkalis, Takis) Hermite interpolationby rotation-invariant spatial Pythagorean-hodograph curves. (English summary)2003e:65011

Garcıa-Esnaola,M. see Carnicer, J. M., 2003c:65007Giona, Massimiliano (with Cerbelli, Stefano) C∞-interpolation of discrete fields onregular and irregular grids. (English summary) 2003d:65007

Girault, Vivette (with Scott, L. Ridgway) Hermite interpolation of nonsmooth functionspreserving boundary conditions. (English summary) 2003e:65012

Guo, De Gui see Jiang, Lei3

Jiang, Lei3 (with Guo, De Gui) An improvement to the four-point interpolationsubdivision scheme. (Chinese. English and Chinese summaries)

Kalitkin, N. N. (with Shlyakhov, N. M.) Interpolation by B-splines. (Russian. English andRussian summaries)

al-Kandari,Mohammad see Farouki, Rida T. et al., 2003e:65011

Ke, Yun Quan Interpolation and approximation by S24 (∆(2)mn). (Chinese. English summary)

2003d:65008

Lai, Ming-Jun (with Schumaker, Larry L.) Macro-elements and stable local bases forsplines on Powell-Sabin triangulations. (English summary) 2003i:65012

Lazzaro, Damiana A parallel multivariate interpolation algorithm with radial basisfunctions. (English summary)

Ligun, A. A. see De Marchi, Stefano et al., 2003f:65022Lopez Linares, A. J. (with Pasadas, Miguel) Approximation of discontinuous parametriccurves and surfaces with tangency conditions. (Spanish. English summary) (see2003a:00031)

Mackenzie, L. M. see Sarbazi-Azad,H. et al., 2003e:65013Marco, A. (withMartınez, Jose-Javier) Implicitization of rational surfaces by means ofpolynomial interpolation. (English summary) 2003c:65008

Martınez, Jose-Javier seeMarco, A., 2003c:65008Ould-Khaoua,M. see Sarbazi-Azad,H. et al., 2003e:65013Pasadas, Miguel see Lopez Linares, A. J., (2003a:00031)Rabut, C. see Dodu, F., 2003a:65010Sakkalis, Takis see Farouki, Rida T. et al., 2003e:65011Sarbazi-Azad,H. (with Ould-Khaoua, M.; Mackenzie, L. M.) Employing k-ary n-cubesfor parallel Lagrange interpolation. (English summary) 2003e:65013

Schumaker, Larry L. see Lai, Ming-Jun, 2003i:65012Scott, L. Ridgway see Girault, Vivette,2003e:65012Shlyakhov, N. M. see Kalitkin, N. N.

Shukla, Diwakar (with Trivedi, Manish) Mean estimation in deeply stratified populationunder post-stratification. (English and Hindi summaries) 2003g:65011

Shumeıko, A. A. see De Marchi, Stefano et al., 2003f:65022

Silver, G. L. Analysis of four-point grids: the diamond configuration. (English summary)2003g:65012

Song, Shi Cang (with Chen, Shao Chun; Sun, Hui Xia) Some estimates for linearinterpolation with application to the finite element method. (Chinese. English andChinese summaries)

Sun, Hui Xia see Song, Shi Cang et al.

Timchenko, S. V. see De Marchi, Stefano et al., 2003f:65022Trivedi, Manish see Shukla, Diwakar, 2003g:65011Xu, Guo Liang (with Chu, Ch’uan I; Xue, Wei Min1) Triangular Cm interpolation byrational functions. (English summary) 2003e:65014

Xue, Wei Min1 see Xu, Guo Liang et al., 2003e:65014

Items with secondary classifications in 65D05

Ahn, Min-Ho (with Kim, Gwang-Il; Lee, Chung-Nim) Geometry of root-relatedparameters of PH curves. (English summary) 2003i:68132

Akopyan, A. A. (with Ismail, Saleem Ali Mohammad) On a bivariate interpolationproblem. (English summary) 2003e:41050

Al-Eideh, Basel M. see Al-Hussainan, Adel A. et al.

Alfeld, Peter (with Schumaker, Larry L.) Smooth macro-elements based on Powell-Sabintriangle splits. (English summary) 2003a:65097

(with Schumaker, Larry L.) Smooth macro-elements based on Clough-Tocher trianglesplits. (English summary) 2003a:65098

Al-Hussainan, Adel A. (with Al-Eideh, Basel M.; Hasan, Merza H.) A Lagrange’sinterpolation estimator for the adjusted empirical Lorenz curve. (English summary)

Bacchelli Montefusco,Laura see Lazzaro, Damiana, 2003m:65016

Berrut, Jean-Paul (withMittelmann, Hans D.) Linear rational interpolation and itsapplication in approximation and boundary value problems. (English summary)2003i:34023

de Boor, Carl A practical guide to splines. (English summary) 2003f:41001

Carnicer, J. M. (with Gasca, Mariano) A conjecture on multivariate polynomialinterpolation. (English and Spanish summaries) 2003d:41031

Chen, Tie see Xu, Liang Hong et al., 2003f:65033Chen, Zhi Bing Neville’s formula for bivariate vector-valued rational interpolants. (Chinese.English summary) 2003e:41021

Costantini, Paolo (with Pelosi, Francesca) Shape-preserving approximation by spacecurves. (English summary) 2003c:65012

(withManni, C.) Shape-preserving C 3 interpolation: the curve case. (English summary)2003k:41022

Damelin, S. B. The asymptotic distribution of general interpolation arrays for exponentialweights. (English summary) 2003d:42047

Dechevsky, Lubomir T. (with Dubuc, Serge) Multidimensional dyadic iterative interpola-tion and Fourier multipliers on Lebesgue spaces. (English summary) 2003h:42023

Delvos, Franz-Jurgen Uniform approximation by minimum norm interpolation. (Englishsummary) 2003h:41017

Deng, Si Qing Monotonicity-preservingpiecewise rational cubic interpolation. (Chinese.English and Chinese summaries)

Dong, Tian see Zhang, Shugong et al.

Dontchev, Asen L. (with Qi, Houduo; Qi, Liqun) Quadratic convergence of Newton’smethod for constrained interpolation. (English summary) 2003d:41015

(with Qi, Houduo; Qi, Liqun) Quadratic convergence of Newton’s method for convexinterpolation and smoothing. (English summary) 2003j:41023

Dubuc, Serge see Dechevsky, Lubomir T., 2003h:42023El-Desouky, Beih see El-Mikkawy, Moawwad E. A., 2003k:41004El-Mikkawy, Moawwad E. A. (with El-Desouky, Beih) On a connection betweensymmetric polynomials, generalized Stirling numbers and the Newton general divideddifference interpolation polynomial. (English summary) 2003k:41004

Emets, O. A. see Valuıskaya,O. A. et al., 2003e:90068Feng, Guo-Chen see Zhang, Shugong et al.

NUMERICAL ANALYSIS65D05 2003 1850

Gasca, Mariano see Carnicer, J. M., 2003d:41031 andMultivariate approximation andinterpolationwith applications,2003j:41001

Gu, Chuan Qing see Zhao, Chun Xia

Gudmundsson, Joachim (with Hammar, Mikael; van Kreveld, Marc) Higher orderDelaunay triangulations. (English summary) 2003a:65018

Habib, Zulfiqar (with Sakai, Manabu) G 2 two-point Hermite rational cubic interpolation.(English summary)(with Sakai, Manabu) Spiral spline interpolation to a planar spiral. (English summary)

Hammar, Mikael see Gudmundsson, Joachim et al., 2003a:65018Hasan,Merza H. see Al-Hussainan, Adel A. et al.He, Guang Ping see Hou, Zai En

Hiyoshi, Hisamoto (with Sugihara, Kokichi) Improving continuity of Voronoi-basedinterpolation over Delaunay spheres. (English summary) 2003b:41026

Hou, Shui Hung (with Pang, WanKai) Inversion of confluent Vandermonde matrices.(English summary) 2003b:65030

Hou, Zai En (with He, Guang Ping) α-polynomial interpolation and its optimization.(Chinese. English and Chinese summaries)

Ibraghimov, Ilghiz A new approach to the SVD-like approximation problem. (Englishsummary) (see 2003f:65007)

Ismail, SaleemAli Mohammad see Akopyan, A. A., 2003e:41050Kim, Gwang-Il see Ahn, Min-Ho et al., 2003i:68132Korobov, N. M. On number-theoretic interpolation formulas. (Russian. English summary)

2003g:11090van Kreveld, Marc see Gudmundsson, Joachim et al., 2003a:65018Lamberti, Paola (withManni, C.) Shape-preserving C 2 functional interpolation viaparametric cubics. (English summary) 2003b:41010

Lazzaro, Damiana (with Bacchelli Montefusco, Laura) Radial basis functions for themultivariate interpolation of large scattered data sets. (English summary) 2003m:65016

Lee, Chung-Nim see Ahn, Min-Ho et al., 2003i:68132Lenard, Margit Modified (0, 2)-interpolation on the roots of Jacobi polynomials. II.Convergence. (English summary) 2003e:41002

Ligun, A. A. (with Shumeıko, A. A.) A linear method for the reconstruction of functionsthat is based on a binary supplement of data. (Russian. English and Ukrainiansummaries) 2003d:41006

(with Shumeıko, A. A.) Reconstruction of a function from information about its valuesat nodes of a triangular grid, based on a supplement of data. (Russian. English andUkrainian summaries) 2003i:41041

Lin, En-Bing (with Ling, Yi1) 2-D nonseparable scaling function interpolation andapproximation. (English summary) 2003a:41013

Lin, Yan-ping see Zhang, Tie et al., 2003b:65125Ling, Yi1 see Lin, En-Bing, 2003a:41013Lyche, Tom (with Nilssen, Trygve K.; Winther, Ragnar) Preconditioned iterativemethodsfor scattered data interpolation. (English summary) 2003h:65039

Manni, C. see Lamberti, Paola, 2003b:41010 and Costantini,Paolo, 2003k:41022Men, Yong see Xu, Liang Hong et al., 2003f:65033Meng, Jia Na New studies of the third type interpolation process of Bernstein. (Chinese.English and Chinese summaries)

Mhaskar, Hrushikesh N. (with Narcowich, Francis J.; Sivakumar, N.; Ward, Joseph D.)Approximation with interpolatory constraints. (English summary) 2003d:41010

Ming, Ping-bing (with Shi, Zhong Ci) Quadrilateral mesh. (English summary)2003h:65163

Mittelmann,Hans D. see Berrut, Jean-Paul, 2003i:34023Morton, TanyaM. Improved error bounds for solving pseudodifferential equations onspheres by collocation with zonal kernels. (English summary) 2003k:65158

Muller, Rainer2 Universal parametrization and interpolation on cubic surfaces. (Englishsummary) 2003h:65017

Narcowich, Francis J. seeMhaskar, Hrushikesh N. et al., 2003d:41010Nilssen, Trygve K. see Lyche, Tom et al., 2003h:65039Noakes, J. Lyle Quadratic interpolation on spheres. (English summary) 2003g:41010

Pahirya,M. Interpolation function of non-Thiele types continued fractions. (Englishsummary) 2003k:30009

Pang, Wan Kai see Hou, Shui Hung, 2003b:65030Pelosi, Francesca see Costantini,Paolo, 2003c:65012Qi, Houduo see Dontchev, Asen L. et al., 2003d:41015 and 2003j:41023

Qi, Liqun see Dontchev, Asen L. et al., 2003d:41015 and 2003j:41023Romanova, N. G. see Valuıskaya,O. A. et al., 2003e:90068Sakai,Manabu see Habib, ZulfiqarSauer, Thomas (with Xu, Yuesheng) The Aitken-Neville scheme in several variables.(English summary) 2003f:41008

Schaback,Robert Stability of radial basis function interpolants. (English summary)2003f:41031

Schumaker, Larry L. see Alfeld, Peter, 2003a:65097and 2003a:65098

Schuster,Wolfgang Harmonische Interpolation. (German summary) [Harmonicinterpolation] 2003k:41045

Shi, Zhong Ci seeMing, Ping-bing, 2003h:65163Shumeıko, A. A. see Ligun, A. A., 2003d:41006 and 2003i:41041

Sivakumar, N. seeMhaskar, Hrushikesh N. et al., 2003d:41010Song, Baorui see Tan, Jieqing et al., 2003i:41020Strauss, Hans Approximation with constraints by conditionally positive definite functions.(English summary) 2003g:41028

Sugihara,Kokichi see Hiyoshi, Hisamoto, 2003b:41026Tait, Robert J. seeZhang, Tie et al., 2003b:65125Tan, Jieqing (with Song, Baorui; Zhu, Gong Qin) Vector valued rational interpolants overtriangular grids. (English summary) 2003i:41020

(with Tang, Shuo) Composite schemes for multivariate blending rational interpolation.(English summary) 2003e:41019

Tang, Shuo see Tan, Jieqing, 2003e:41019Valuıskaya,O. A. (with Emets, O. A.; Romanova, N. G.) Convex continuation ofpolynomials defined on polypermutations by a modified Stoyan-Yakovlev method.(Russian. Russian summary) 2003e:90068

Ward, Joseph D. seeMhaskar, Hrushikesh N. et al., 2003d:41010Winther, Ragnar see Lyche, Tom et al., 2003h:65039Wong, Patricia J. Y. Optimal Abel-Gontscharoff interpolation error bounds on measurechains. (English summary) 2003d:41012

Xu, Liang Hong (withMen, Yong; Chen, Tie) Interpolation of space Bezier curves withgiven end points, tangent directions and curvatures. (Chinese. Chinese summary)2003f:65033

Xu, Yuesheng see Sauer, Thomas, 2003f:41008Zagar, Emil On G 2 continuous spline interpolation of curves in R

d . (English summary)2003h:65010

Zhang, Shugong (with Dong, Tian; Feng, Guo-Chen) Interpolation on algebraicmanifold.Zhang, Tie (with Lin, Yan-ping; Tait, Robert J.) Superapproximation properties ofthe interpolation operator of projection type and applications. (English summary)2003b:65125

Zhao, Chun Xia (with Gu, Chuan Qing) The existence of Newton-Thiele’s bivariaterational interpolation. (Chinese. English and Chinese summaries)

Zhu, Gong Qin see Zhu, Xiao Lin, 2003i:41018 and Tan, Jieqing et al., 2003i:41020Zhu, Xiao Lin (with Zhu, Gong Qin) A method for directly finding the denominatorvalues of rational interpolants. (English summary) 2003i:41018


Almunecar Multivariate approximation and interpolation with applications. 2003j:41001

Multivariate approximation and interpolationwith applications Multivariate approxima-tion and interpolation with applications. 2003j:41001

65D07 Splines

Beatson, R. K. (with Levesley, Jeremy) Good point/bad point iterations for solving thethin-plate spline interpolation equations. (English summary) (see 2003c:41002)

Boehm, Wolfgang see Prautzsch, Hartmut, (2003g:65001)de Boor, Carl Spline basics. (see 2003g:65001)Che, Xiang Jiu (with Liang, Xue Zhang) G 2 continuity conditions between two patches ofadjacent NURBS surfaces. (Chinese. English and Chinese summaries) 2003f:65023

Chen, Zhi Bing A note on the dimension of the bivariate spline space for a cross-cutpartition. (Chinese. English and Chinese summaries) 2003i:65013

Delhez, E. J. M. A spline interpolation technique that preserves mass budgets. (Englishsummary)

Ginnis, A. I. (with Kaklis, P. D.) PlanarC 2 cubic spline interpolation under geometricboundary conditions. (English summary) 2003c:65009

Habib, Zulfiqar (with Sakai, Manabu) Spiral spline interpolation to a planar spiral.(English summary)

Han, Dan Fu see Li, Zhong4

Hoffmann, Miklos see Juhasz, Imre, 2003g:65013Juhasz, Imre (with Hoffmann, Miklos) The effect of knot modifications on the shape of B-spline curves. (English summary) 2003g:65013(with Hoffmann, Miklos) Modifying a knot of B-spline curves. (English summary)

Kaklis, P. D. see Ginnis, A. I., 2003c:65009Kang, Bao Sheng seeWang, San Fu et al.

Kivva, S. L. (with Stelya, O. B.) A parabolic spline on a nonuniform grid. (Englishsummary) 2003b:65011

Kobza, Jirı Quartic splines with minimal norms. (English summary) 2003e:65015Kouibia, A. (with Pasadas, Miguel) Approximation of curves by fairness splines withtangent conditions. (English summary) 2003c:65010

Levesley, Jeremy see Beatson, R. K., (2003c:41002)Li, Zhong4 (with Han, Dan Fu) A fast point-by-point generating algorithm for rational Bspline curves. (Chinese. English and Chinese summaries)

Liang, Xue Zhang see Che, Xiang Jiu, 2003f:65023Lim, Choong-Gyoo Universal parametrization in constructing smoothly-connected B-spline surfaces. (English summary) 2003e:65016

Lu, Yonggang (withWang,Guo Zhao; Yang, Xun Nian) Uniform hyperbolic polynomialB-spline curves. (English summary) 2003f:65024

Malozemov, V. N. (with Sergeev, A. N.) Discrete nonperiodic splines on a uniform grid.(Russian) 2003a:65011

Mazroui, A. (with Sbibih, D.; Sablonniere, Paul) Existence and construction of H1-splinesof class Ck on a three directional mesh. (English summary) 2003h:65009

Neamtu, Marian Splines on surfaces. (see 2003g:65001)Pasadas, Miguel see Kouibia, A., 2003c:65010Prautzsch, Hartmut (with Boehm, Wolfgang) Box splines. (see 2003g:65001)Sablonniere, Paul seeMazroui, A. et al., 2003h:65009Sakai, Manabu see Habib, ZulfiqarSbibih, D. seeMazroui, A. et al., 2003h:65009Seidel, Hans-Peter see Zeilfelder, Frank, (2003g:65001)Sergeev, A. N. seeMalozemov, V. N., 2003a:65011Stelya,O. B. see Kivva, S. L., 2003b:65011Strelkov, N. A. Optimal projection-difference approximations, splines, and wavelets.(Russian. Russian summary) 2003a:65012

Sun, Ming Fu seeWang, San Fu et al.

Szilvasi-Nagy,Marta Filling holes with B-spline surfaces. (English summary) 2003j:65007Wang, Guo Zhao see Lu, Yonggang et al., 2003f:65024Wang, San Fu (with Kang, Bao Sheng; Sun, Ming Fu) Global B-spline approximation ofgiven data points. (Chinese. English and Chinese summaries)

Yang, Xun Nian see Lu, Yonggang et al., 2003f:65024Zagar, Emil On G 2 continuous spline interpolation of curves in R


Zeilfelder, Frank (with Seidel, Hans-Peter) Splines over triangulations. (see 2003g:65001)Zhang, Cai Ming Construction of high precision cubic parametric spline curves. (Chinese.English and Chinese summaries) 2003e:65017


Ahn, Young Joon An error bound analysis for cubic spline approximation of conic section.


(English summary) 2003m:41011

Alfeld, Peter (with Schumaker, Larry L.) Upper and lower bounds on the dimension ofsuperspline spaces. (English summary) 2003k:41010

Al-Said, Eisa A. Smooth spline solutions for two-point boundary-value problems. (Englishsummary) 2003i:65061Quartic spline method for solving two point boundary value problems. (Englishsummary) 2003e:65120

Amara, Camara (with Han, Xu Li) Approximation of curves by B-splines. (English andChinese summaries)

Awanou, Gerard (with Lai, Ming-Jun) C 1 quintic spline interpolation over tetrahedralpartitions. (English summary) 2003d:41014

Barrera Rosillo, Domingo see Ibanez Perez, Marıa Jose, (2003a:00031) and Lopez Carmona,Antonio, (2003a:00031)

Bastian-Walther,Marion see Schmidt, JochenW. et al., (2003e:41001)de Boor, Carl A practical guide to splines. (English summary) 2003f:41001

Bouhamidi, A. Hilbertian approach for univariate spline with tension. (English summary)2003e:41012

Cai, Fang (with Xiang, Zhao Hong) A nearly arc-length parameterizationmethod withC 2-continuity preserving. (Chinese. English and Chinese summaries)

Cardot, Herve Spatially adaptive splines for statistical linear inverse problems. (Englishsummary) 2003c:62083

Chen, Xiao Diao see Lu, Yonggang et al., 2003e:65023Dagnino, Catterina Bivariate quasi-interpolating splines with applications in numericalintegration. (English summary) 2003h:65022

(with Demichelis, Vittoria) Computational aspects of numerical integration based onoptimal nodal splines. (English summary)

Demichelis, Vittoria see Dagnino, Catterina

Dem′yanovich,Yu. K. Wavelet expansions in spline spaces on an irregular grid. (Russian)2003h:41012

Diethelm, Kai Erratum to: “Error bounds for spline-based quadrature methods for stronglysingular integrals” [J. Comput. Appl. Math. 89 (1998), no. 2, 257–261;MR 99e:65037].2003f:65038

Dodu, F. (with Rabut, C.) Vectorial interpolation using radial-basis-like functions.(English summary) 2003a:65010

Du, Hong (with Shi, Xi Quan2; Wang, Ren-Hong) A geometric approach to dimS12 (∆MS).2003c:41008

Eubank, R. L. (with Huang, Chunfeng; Wang, Suojin) Adaptive order selection for splinesmoothing. (English summary)

Ge, Yan Ming see Shi, Jian Hong et al., 2003j:41026Gilsinn, David E. (with Lavery, John E.) Shape-preserving, multiscale fitting of bivariatedata by cubic L1 smoothing splines. (English summary) 2003d:41024

von Golitschek,Manfred (with Lai, Ming-Jun; Schumaker, Larry L.) Error bounds forminimal energy bivariate polynomial splines. (English summary) 2003j:41009

Gori Nicolo-Amati, Laura (with Pitolli, Francesca; Santi, Elisabetta) Positive operatorsbased on scaling functions. (English summary)

Grebennikov, A. I. Spline approximation method for solving unstable problems andapplications. (Spanish. Spanish summary) 2003i:65052

Gu, Chong Smoothing spline ANOVA models. (English summary) 2003d:62002

Hales, S. J. (with Levesley, Jeremy) Error estimates for multilevel approximation usingpolyharmonic splines. (English summary) 2003e:41013

Han, Dan Fu see Li, Zhong4

Han, Xu Li Quadratic trigonometric polynomial curves with a shape parameter. (Englishsummary) 2003g:65022see also Amara, Camara

Hoffmann,Miklos On a special interpolation problem of functional B-spline curves.(English summary)

Hollig, Klaus Finite element approximation with splines. (see 2003g:65001)Huang, Chunfeng see Eubank, R. L. et al.

Ibanez Perez, Marıa Jose (with Barrera Rosillo, Domingo) Unisolvent polynomialconfigurations for Hermite spline interpolation. (Spanish. English summary) (see2003a:00031)

Kadalbajoo,Mohan K. (with Patidar, Kailash C.) Numerical solution of singularlyperturbed two point boundary value problems by spline in compression. (Englishsummary) 2003f:65135

(with Patidar, Kailash C.) Variable mesh spline in compression for the numericalsolution of singular perturbation problems. (English summary)

Kalitkin, N. N. (with Shlyakhov, N. M.) Interpolation by B-splines. (Russian. English andRussian summaries)

Kangro, Raul (with Pallav, Rene; Pedas, Arvet) Quadratic spline collocation method forweakly singular integral equations. (English and Estonian summaries) 2003d:65121

Ke, Yun Quan Interpolation and approximation by S24 (∆(2)mn). (Chinese. English summary)

2003d:65008Khashimov, Sh. A. (with Ubaıdullaev, K. Kh.) On the L1-convergence of a spline estimatorof a distribution density. (Russian. English and Uzbek summaries) 2003j:62058

Kindalev,B. S. On the asymptotics of the jump in the highest derivate of a polynomialspline. (Russian. Russian summary) 2003f:41014

Kobza, Jirı Cubic splines with minimal norm. (English summary) 2003e:41014

Konno,Kouichi see Tokuyama, YoshimasaKouibia,A. (with Pasadas, Miguel) Approximation par les fonctions splines variation-nelles. (English summary) [Variational spline function approximation] (see 2003a:00031)

Lai, Ming-Jun (withWenston, Paul) Trivariate C 1 cubic splines for numerical solution ofbiharmonic equations. (English summary) 2003i:41010

(with Schumaker, Larry L.) Macro-elements and stable local bases for splines on Powell-Sabin triangulations. (English summary) 2003i:65012

see also Awanou, Gerard, 2003d:41014and von Golitschek, Manfred et al., 2003j:41009Lai, Yi-Sheng seeWang, Ren-Hong, 2003c:41011Lavery, John E. see Gilsinn, David E., 2003d:41024Leont′ev, V. L. Orthogonal splines and the variational-gridmethod. (Russian. English andRussian summaries) 2003b:41006

Levesley, Jeremy see Hales, S. J., 2003e:41013

Li, Pei Hua (with Zhang, Tian Wen) A new B-spline active contour model. (Chinese.English and Chinese summaries)

Li, Zhong4 (with Han, Dan Fu) Curvature monotonic condition for the quadratic rationalB spline curves. (Chinese. English and Chinese summaries)

Liu, Xiaoyan Bivariate splines on hexagonal lattice for digital image processing. (Englishsummary) 2003d:41017

Lopez Carmona, Antonio (with Barrera Rosillo, Domingo) Hermite spline interpolationand triangular finite elements on the three-direction plane mesh. (Spanish. Englishsummary) (see 2003a:00031)

Lu, Yonggang (withWang, Guo Zhao; Yang, Xun Nian; Chen, Xiao Diao) Shape-perserving interpolation by circular arc. (Chinese. English and Chinese summaries)2003e:65023

Mazure, Marie-Laurence (withMelkemi, Khaled) Orthonormality of cardinal ChebyshevB-spline bases in weighted Sobolev spaces. (English summary) 2003c:41009

Melkemi, Khaled seeMazure, Marie-Laurence,2003c:41009Mulansky, Bernd see Schmidt, JochenW. et al., (2003e:41001)Navascues, M. Antonia (with Sebastian Guerrero, Marıa Victoria; Valdizan, J. R.)Electroencephalographic mobility via fractal interpolation. (Spanish. English summary)2003c:92014

Nouisser, O. (with Sbibih, D.) Existence and construction of simple B-splines of class Ck

on a four-directionalmesh of the plane. (English summary) 2003d:41018

Oja, Peeter Comonotone adaptive interpolating splines. (English summary) 2003m:41016

Pallav, Rene see Kangro, Raul et al., 2003d:65121Pasadas, Miguel see Kouibia, A., (2003a:00031)Patidar, Kailash C. seeKadalbajoo,Mohan K., 2003f:65135Pedas, Arvet see Kangro, Raul et al., 2003d:65121Pitolli, Francesca see Gori Nicolo-Amati, Laura et al.

Rabut, C. see Dodu, F., 2003a:65010Santi, Elisabetta see Gori Nicolo-Amati, Laura et al.

Sbibih, D. see Nouisser, O., 2003d:41018Schmidt, JochenW. (with Bastian-Walther,Marion; Mulansky, Bernd) Construction ofnonnegative volume matching splines. (English summary) (see 2003e:41001)

Schumaker, Larry L. see Lai, Ming-Jun, 2003i:65012; von Golitschek, Manfred et al.,2003j:41009 and Alfeld, Peter, 2003k:41010

Sebastian Guerrero, Marıa Victoria see Navascues,M. Antonia et al., 2003c:92014Shi, Jian Hong (with Ge, Yan Ming; Yan, Yan) Shape preserving quasi-interpolationsbased on quadratic splines functions. (Chinese. English and Chinese summaries)2003j:41026

Shi, Xi Quan2 (withWang, Ren-Hong) Spline space and its B-splines on an n + 1 directionmesh in R

n. (English summary) 2003f:41016

see also Yu, Pi Qiang, 2003b:65016and Du, Hong et al., 2003c:41008Shlyakhov, N. M. see Kalitkin, N. N.

Tokuyama, Yoshimasa (with Konno, Kouichi) Filling n-sided region with a B-splinesurface. (Japanese. English and Japanese summaries)

Ubaıdullaev, K. Kh. see Khashimov, Sh. A., 2003j:62058Valdizan, J. R. see Navascues, M. Antonia et al., 2003c:92014Van Fleet, Patrick J. Some recurrence formulas for box splines and cone splines. (Englishsummary) 2003c:41010

Volkov, Yu. S. On monotone interpolation by cubic splines. (Russian. English summary)2003j:41027

A newmethod for constructing interpolation cubic splines. (Russian) 2003i:41012

Wang, Guo Zhao see Lu, Yonggang et al., 2003e:65023Wang, Ren-Hong Multivariate spline functions and their applications. (Englishsummary) 2003f:41002

(with Lai, Yi-Sheng) Piecewise algebraic curve. (English summary) 2003c:41011

(with Xu, Zhi-Qiang) Multivariate weak spline function space. (English summary)2003c:41012

see also Du, Hong et al., 2003c:41008;Shi, Xi Quan2, 2003f:41016 and Xu, Zhi-Qiang,2003h:41013

(Wang, Shao-Ming) seeWang, Ren-Hong,2003f:41002Wang, Suojin see Eubank, R. L. et al.Wenston, Paul see Lai, Ming-Jun, 2003i:41010Wu, Hongyi Cn-continuous B-type spline curves with its localization interpolation andapproximation. (English summary) 2003c:65015

Xiang, Zhao Hong see Cai, Fang

Xu, Zhi-Qiang (withWang, Ren-Hong) The instability degree in the dimension of spacesof bivariate spline. (English summary) 2003h:41013

see alsoWang, Ren-Hong, 2003c:41012Yan, Yan see Shi, Jian Hong et al., 2003j:41026Yang, Xun Nian see Lu, Yonggang et al., 2003e:65023Yu, Pi Qiang (with Shi, Xi Quan2) G 1 continuous conditions for a kind of k × k-degreeB-spline surfaces. (Chinese. English and Chinese summaries) 2003b:65016

Zhang, Tian Wen see Li, Pei Hua

Zhang, Xin Jian1 Operator spline interpolations and the approximate solutions of operatorequations on Hilbert spaces. (Chinese. English and Chinese summaries) 2003f:41038

Spline interpolating operators and the best approximation of linear functionals inWm2

spaces. (Chinese. English summary) 2003f:41017

65D10 Smoothing, curve fitting

Bacchelli Montefusco,Laura see Lazzaro, Damiana, 2003m:65016

Chan, Y. T. (with Elhalwagy, Y. Z.; Thomas, S. M.) Estimation of circle parameters bycentroiding. (English summary) 2003g:65014

Chen, Ching Shyang see Li, Xin7 et al., 2003g:65015Chen, Jian Jun (with Shen, Lin Yong; Qian, Jin Wu; Wu, Jia Qi) A curve fitting iterativemethod based on the curvature data of discrete points. (Chinese. English and Chinesesummaries)

Conti, Costanza (withMorandi, R.; Rabut, C.; Sestini, A.) Cubic spline data reductionchoosing the knots from a third derivative criterion. (English summary) 2003b:65012


Demetriou, I. C. Signs of divided differences yield least squares data fitting with constrainedmonotonicity or convexity. (English summary) 2003k:65011

Dyn, Nira (with Floater, Michael S.; Iske, Armin) Adaptive thinning for bivariate scattereddata. (English summary) 2003i:65014

Elhalwagy, Y. Z. see Chan, Y. T. et al., 2003g:65014Estrada Sarlabous, Jorge C. see HernandezMederos, Victoria et al., 2003h:65012Fasshauer, Gregory E. Matrix-freemultilevel moving least-squares methods. (Englishsummary) 2003h:65011

Feraudi, F. see de Tisi, F., 2003j:65008Floater,Michael S. Analysis of curve reconstruction by meshless parameterization.(English summary) 2003k:65012

see also Dyn, Nira et al., 2003i:65014Franke, Richard see Lodha, Suresh K., (2003g:65001)HernandezMederos, Victoria (withMartınez Morera, D.; Estrada Sarlabous, Jorge C.)Fitting a conic A-spline to contour image data. (English and Spanish summaries)2003h:65012

Ho, Chih-Hsiang see Li, Xin7 et al., 2003g:65015Holmstrom, Kenneth (with Petersson, Joran) A review of the parameter estimationproblem of fitting positive exponential sums to empirical data. (English summary)2003a:65013

Iske, Armin see Dyn, Nira et al., 2003i:65014Kim, Ik-Sung Orthogonal distance fitting of ellipses. (English summary) 2003d:65009

Kong, V. P. (with Ong, B. H.) Shape perserving F 3 curve interpolation. (English summary)2003e:65018

Kouibia,A. (with Pasadas, Miguel) Approximation par les fonctions splines variation-nelles. (English summary) [Variational spline function approximation] (see 2003a:00031)

Lazzaro, Damiana (with Bacchelli Montefusco, Laura) Radial basis functions for themultivariate interpolation of large scattered data sets. (English summary) 2003m:65016

Li, Xin7 (with Ho, Chih-Hsiang; Chen, Ching Shyang) Computational test of approxi-mation of functions and their derivativesby radial basis functions. (English summary)2003g:65015

Lodha, Suresh K. (with Franke, Richard) Scattered data interpolation: radial basis andother methods. (see 2003g:65001)

MartınezMorera, D. see HernandezMederos, Victoria et al., 2003h:65012Morandi, R. see Conti, Costanza et al., 2003b:65012Ong, B. H. see Kong, V. P., 2003e:65018Pasadas, Miguel see Kouibia, A., (2003a:00031)Peng, Fang Yu (with Zhou, Yun Fei; Zhou, Ji1) An algorithm of surface smoothing basedon extended energy minimization. (Chinese. English and Chinese summaries)

Pereyra, V. (with Scherer, G.) Large scale least squares scattered data fitting. (Englishsummary) 2003m:65017

Petersson, Joran see Holmstrom, Kenneth, 2003a:65013Qian, Jin Wu see Chen, Jian Jun et al.

Rabut, C. see Conti, Costanza et al., 2003b:65012Rohwer, C. H. (withWild, M.) Natural alternatives for one dimensional median filtering.(English summary) 2003h:65013

Scherer, G. see Pereyra, V., 2003m:65017Sestini, A. see Conti, Costanza et al., 2003b:65012Shen, Lin Yong see Chen, Jian Jun et al.

Thomas, S. M. see Chan, Y. T. et al., 2003g:65014de Tisi, F. (with Feraudi, F.) Least squares surface approximations to scattered data usingGaussian functions. (English summary) 2003j:65008

Watson, G. Alistair Incorporating angular information into parametric models. (Englishsummary) 2003j:65009On the Gauss-Newton method for l1 orthogonal distance regression. (English summary)2003d:65010

Wild, M. see Rohwer, C. H., 2003h:65013Wu, Jia Qi see Chen, Jian Jun et al.Zhou, Ji1 see Peng, Fang Yu et al.

Zhou, Yun Fei see Peng, Fang Yu et al.

Items with secondary classifications in 65D10Aldroubi, Akram (with Feichtinger, Hans G.) Non-uniform sampling: exact reconstructionfrom non-uniformly distributed weighted-averages. (English summary) (see 2003f:42002)

Amato, Umberto (with Antoniadis, Anestis; De Feis, I.) Fourier series approximation ofseparable models. (English summary)

Antoniadis, Anestis see Amato, Umberto et al.

Antonova, T. V. Approximation of function with finite number of discontinuities by noiseddata. (English summary) 2003b:41011

Awanou, Gerard (with Lai, Ming-Jun) C 1 quintic spline interpolation over tetrahedralpartitions. (English summary) 2003d:41014

de Boor, Carl A practical guide to splines. (English summary) 2003f:41001

Bozzini,Mira (with Lenarduzzi, Licia; Schaback, Robert) Adaptive interpolation by scaledmultiquadrics. (English summary) 2003d:41003

De Feis, I. see Amato, Umberto et al.De Pierro, Alvaro Rodolfo see Yin, Jiahong et al., 2003j:94017Dontchev, Asen L. (with Qi, Houduo; Qi, Liqun) Quadratic convergence of Newton’smethod for convex interpolation and smoothing. (English summary) 2003j:41023

Duong Anh Duc see Hoang Van Kiem, 2003j:94008Feichtinger, Hans G. see Aldroubi, Akram, (2003f:42002)Gelb, Anne (with Tadmor, Eitan) Spectral reconstruction of piecewise smooth functionsfrom their discrete data. (English summary) 2003b:42006

Glick, John see Rosen, J. Ben et al., 2003f:94020Hoang Van Kiem (with Duong Anh Duc) Applying algebraic curves in digital imagevectorization. (English summary) 2003j:94008

Kouibia,A. (with Pasadas, Miguel) Approximation of curves by fairness splines withtangent conditions. (English summary) 2003c:65010

Kulkarni, Sanjeev R. see Sandilya,Sathyakama,2003h:62089Lai, Ming-Jun see Awanou, Gerard, 2003d:41014Lenarduzzi, Licia see Bozzini,Mira et al., 2003d:41003

Mashor, M. Y. Adaptive fuzzy c-means clustering algorithm for a radial basis functionnetwork. (English summary)

Narcowich, Francis J. (withWard, Joseph D.) Scattered data interpolation on spheres:error estimates and locally supported basis functions. (English summary) 2003j:41021

Nievergelt, Yves A finite algorithm to fit geometrically all midrange lines, circles, planes,spheres, hyperplanes, and hyperspheres. (English summary) 2003d:52011

Park, Haesun see Rosen, J. Ben et al., 2003f:94020Pasadas, Miguel see Kouibia, A., 2003c:65010Qi, Houduo see Dontchev, Asen L. et al., 2003j:41023Qi, Liqun see Dontchev, Asen L. et al., 2003j:41023Rohwer, C. H. Variation reduction and LULU -smoothing. (English summary)

2003f:41043

Rosen, J. Ben (with Park, Haesun; Glick, John) Signal identification using a least L1 normalgorithm. (English summary) 2003f:94020

Sandilya,Sathyakama (with Kulkarni, Sanjeev R.) Principal curves with bounded turn.(English summary) 2003h:62089

Schaback, Robert Stability of radial basis function interpolants. (English summary)2003f:41031

see also Bozzini,Mira et al., 2003d:41003Tadmor, Eitan (with Tanner, Jared) Adaptive mollifiers for high resolution recovery ofpiecewise smooth data from its spectral information. (English summary) 2003b:42009see also Gelb, Anne, 2003b:42006

Tanner, Jared see Tadmor, Eitan, 2003b:42009Ward, Joseph D. see Narcowich, Francis J., 2003j:41021Wei, Mu Sheng see Yin, Jiahong et al., 2003j:94017Wendland,Holger Fast evaluation of radial basis functions: methods based on partition ofunity. (English summary) 2003f:41033

Yin, Jiahong (with De Pierro, Alvaro Rodolfo; Wei, Mu Sheng) Analysis for thereconstruction of a noisy signal based on orthogonal moments. (English summary)2003j:94017

65D15 Algorithms for functional approximation

Barrio, Roberto (with Pena, Juan Manuel) Numerical evaluation of the pth derivativeofJacobi series. (English summary) 2003k:65013

Faure, Christele see Griewank, Andreas, 2003h:65014Griewank, Andreas (with Faure, Christele) Reduced functions, gradients and Hessiansfrom fixed-point iterations for state equations. (English summary) 2003h:65014

Ivashchuk, Ya. G. Algorithms for constructing best approximations of functions byinterpolation classes. (Ukrainian. Ukrainian summary) (see 2003d:41002)

Kalaıda, Oleksıı F. On hereditary error in the approximation of functions by collocations.(Ukrainian. English and Ukrainian summaries)

Laushnyk, Oksana see Popov, Bogdan, 2003g:65016Pena, Juan Manuel see Barrio, Roberto, 2003k:65013Popov, Bogdan (with Laushnyk, Oksana) Selection of iterative algorithm and startingapproximation for functions evaluation. (English summary) 2003g:65016

Items with secondary classifications in 65D15Andreev, Andreı St. (withMarinov, P.) Numerical determination of the element of bestHausdorff approximation. (English summary) 2003m:41047

Marinov, P. see Andreev, Andreı St., 2003m:41047

65D17 Computer aided design (modeling of curves and surfaces)[see also 68U07]

Ahn, Young Joon Geometric conic spline approximation in CAGD. (English summary)2003d:65011

Ait-Haddou,Rachid (with Biard, L.; Slawinski, Michael A.) Minimizing blossoms undersymmetric linear constraints. (English summary) 2003g:65017(with Herzog, Walter) Convex subdivision of a Bezier curve. (English summary)2003j:65010

Albrecht, Gudrun The Veronese surface revisited. (English summary) 2003e:65019

Anderson, James H. see Ye, Xiuzi et al.Bercovier, Michel (with Luzon, Moshe; Pavlov, Elan) Detecting planar patches in anunorganised set of points in space. (English summary) 2003f:65025

Biard, L. see Ait-Haddou,Rachid et al., 2003g:65017Bose, Prosenjit (with Ramaswami, Suneeta; Toussaint, Godfried T.; Turki, Alain)Experimental results on quadrangulations of sets of fixed points. (English summary)

Bowyer, Adrian seeMartin, Ralph et al.Bruckstein, Alfred M. (with Holt, Robert J.; Netravali, Arun N.) Discrete elastica. (Englishsummary) 2003b:65013

Cai, Yi-Yu see Ye, Xiuzi et al.

Chang, Zheng Yi see Qin, Kai Huai et al., 2003i:65017Chaudhari, N. S. see Singh, Umesh Kumar et al., 2003i:65018Che, Xiang Jiu G 2-continuity conditions for assembling of two cubic uniform rational B-spline curves. (Chinese. English and Chinese summaries)G 2 continuity conditions between two patches of bi-cubic tensor product non-uniformB-spline surfaces. (Chinese. English and Chinese summaries)

Chen, Dongren (withWang, Guo Jin1) Developable Bezier function surface. (Englishsummary) 2003c:65011

Chen, Fa Lai (with Sederberg, Thomas W.) A new implicit representation of a planarrational curve with high order singularity. (English summary) 2003d:65012

Reparametrization of a rational ruled surface using the -basis. (English summary)see alsoWei, Guo-fu, 2003f:65032

Chen, Guo-Dong (withWang, Guo Jin1) Optimal multi-degree reduction of Bezier curveswith constraints of endpoints continuity. (English summary) 2003g:65018

Chen, Qin Yu (with Yang, Xun Nian; Wang, Guo Zhao) Properties and applications offourth-degreeC -curves. (Chinese. English and Chinese summaries) 2003m:65018

(withWang, Guo Zhao) A class of Bezier-like curves. (English summary)Chen, Song see Li, Xue Yi et al.


Chen, Tie see Xu, Liang Hong et al., 2003f:65033Chen, Xiao Diao see Lu, Yonggang et al., 2003e:65023Chen, Xiao Qun see Sun, Hong Bing, 2003f:65031Chen, Yu Jian see Liu, Shu et al.Cheng, Fuhua see Zhang, Cai Ming, 2003m:65021

Cheng, Jinsan seeWu, Tie-Ru et al.Choi, Byoung K. (with Kim, Bo H.; Jerard, Robert B.) Sculptured surface NC machining.(see 2003g:65001)

Choi, Hyeong In (with Han, Chang Yong) The medial axis transform. (see 2003g:65001)Chui, Cheekong see Ye, Xiuzi et al.Corless, Robert M. (with Giesbrecht, Mark W.; Kotsireas, Ilias S.; Watt, Stephen M.)Numerical implicitization of parametric hypersurfaces with linear algebra. (Englishsummary) 2003b:65014

Costantini,Paolo (with Pelosi, Francesca) Shape-preserving approximation by spacecurves. (English summary) 2003c:65012

Dejdumrong, Nattawit (with Phien, Huynh Ngoc; Le Tien, Hoang; Lay, Kyaw Moe)Rational Wang-Ball curves. (English summary) 2003e:65020

Elber, Gershon Direct rendering of freeform surfaces. (see 2003g:65001)Espinola, Jesus (with Gonzalez-Vega, Laureano; Necula, Ioana) Algebraic methods forsectioning parametric surfaces. (English summary) (see 2003f:68002)

Fang, Lian A rational quartic Bezier representation for conics. (English summary)2003c:65013

Farin, Gerald see Hansford, Dianne, (2003g:65001)Farouki, Rida T. (with al-Kandari, Mohammad; Sakkalis, Takis) Structural invariance ofspatial Pythagorean hodographs. (English summary) 2003g:65019

Felis, Alf see Juttler, Bert, 2003f:65026Fiorot, Jean-Charles (with Gibaru, Olivier) Blowing up: application to G 2-continuous 8-sided filling patch. (English summary) 2003h:65015

see also Gibaru,Olivier, 2003h:65016Gibaru,Olivier (with Fiorot, Jean-Charles) Determination des images d’un point de based’une surface rationnelle tensorielle definie par des vecteurs massiques. (English andFrench summaries) [Determination of the images of a base point of a tensorial rationalsurface defined by massic vectors] 2003h:65016

see also Fiorot, Jean-Charles,2003h:65015Giesbrecht,Mark W. seeCorless, Robert M. et al., 2003b:65014Golovanov, N. N. Геометрическое моделирование. (Russian. Russian summary)[Geometric modeling] 2003e:65021

Gonzalez-Vega, Laureano see Espinola, Jesus et al., (2003f:68002)Gout, Christian Ck surface approximation from surface patches. (English summary)

2003d:65013Gravesen, Jens (with Ungstrup, Michael) Constructing invariant fairness measures forsurfaces. (English summary) 2003e:65022

Guan, Youjiang seeWang, Hua Wei et al.

Habib, Zulfiqar (with Sakai, Manabu) High accurate rational cubic curve. (Englishsummary) 2003c:65014

(with Sakai, Manabu) G 2 planar cubic transition between two circles. (Englishsummary)

Hagiwara, Ichiro see Nakata, SusumuHan, Chang Yong see Choi, Hyeong In, (2003g:65001)Han, Xu Li seeWang, Wen TaoHansford, Dianne Bezier techniques. (see 2003g:65001)(with Farin, Gerald) Curve and surface constructions. (see 2003g:65001)

Herzog,Walter see Ait-Haddou,Rachid, 2003j:65010Hoffmann, ChristophM. (with Joan-Arinyo, Robert) Parametric modeling. (see

2003g:65001)Holla, V. Devaraja see Kumar, G. V. V. Ravi et al.

Holt, Robert J. see Bruckstein, Alfred M. et al., 2003b:65013Jerard, Robert B. see Choi, Byoung K. et al., (2003g:65001)Jiang,Hong see Li, Xue Yi et al.Joan-Arinyo, Robert see Hoffmann, ChristophM., (2003g:65001)Juttler, Bert (withWagner, Michael G.) Kinematics and animation. (see 2003g:65001)(with Felis, Alf) Least-squares fitting of algebraic spline surfaces. (English summary)2003f:65026

al-Kandari,Mohammad see Farouki, Rida T. et al., 2003g:65019Kim, Bo H. see Choi, Byoung K. et al., (2003g:65001)Kim, Gwang-Il Higher dimensional PH curves. (English summary) 2003i:65015

Kompatsiaris, Ioannis (with Tzovaras, Dimitrios; Strintzis, Michael G.) Hierarchicalrepresentation and coding of surfaces using 3-D polygon meshes. (English summary)2003d:65014

Kotsireas, Ilias S. see Corless, Robert M. et al., 2003b:65014Krasauskas, Rimvydas Toric surface patches. (English summary) 2003f:65027Kumar, G. V. V. Ravi (with Srinivasan, Prabha;Holla, V. Devaraja; Shastry, K. G.; Prakash,B. G.) Geodesic curve computations on surfaces. (English summary)

Lasser, Dieter Tensor product Bezier surfaces on triangle Bezier surfaces. (Englishsummary) 2003k:65014

Lay, Kyaw Moe see Dejdumrong, Nattawit et al., 2003e:65020Lee, Byung-Gook (with Park, Yunbeom; Yoo, Jaechil) Application of Legendre-Bernsteinbasis transformations to degree elevation and degree reduction. (English summary)2003k:65015

Lei, Na seeWu, Tie-Ru et al.Le Tien, Hoang see Dejdumrong, Nattawit et al., 2003e:65020Li, Cheng seeWang, Jian Hua et al., 2003m:65020

Li, Denggao see Qin, Kai Huai et al., 2003i:65017Li, Xue Yi (with Jiang, Hong; Chen, Song; Wang, Xiao Chun1) A surface fairingalgorithm based on Markov random fields. (Chinese. English and Chinese summaries)

Li, Yi see Luo, Xiaonan et al., 2003f:65029Liu, Li Gang (withWang,Guo Jin1) Explicit matrix representation for NURBS curves andsurfaces. (English summary) 2003f:65028

see also Shou,Hua Hao et al., 2003a:65016Liu, Shu (with Chen, Yu Jian; Sun, Jia Guang) Methods for analyzing parametrization of

rational Bezier curves representing circular arcs with degree three/four. (Chinese. Englishand Chinese summaries)

Lopez de Silanes,Marıa Cruz (with Parra, Marıa Cruz; Torrens, Juan Jose) Vertical andoblique fault detection in explicit surfaces. (English summary) 2003i:65016


Luo, Xiaonan (with Nie, Hui; Li, Yi; Luo, Zhong Xuan) Recurrence surfaces on arbitraryquadrilateral mesh. (English summary) 2003f:65029

Luo, Zhong Xuan see Luo, Xiaonan et al., 2003f:65029Luzon, Moshe see Bercovier, Michel et al., 2003f:65025Maekawa, Takashi see Patrikalakis, Nicholas M., 2003a:65014Mann, Stephen Adjusting control points to achieve continuity. (English summary)

2003g:65020

Martin, Ralph (with Shou, Hua Hao; Voiculescu, Irina; Bowyer, Adrian; Wang,Guo Jin1)Comparison of interval methods for plotting algebraic curves. (English summary)see also Varady, Tamas, (2003g:65001)

Mazumdar, Neeta see Singh, Umesh Kumar et al., 2003i:65018Mazure, Marie-Laurence Blossoming: from polynomials to power series. (Englishsummary) 2003e:65024

Meek, D. S. seeWalton, D. J., 2003d:65015Men, Yong see Xu, Liang Hong et al., 2003f:65033Mow, C. P. (with Peters, Thomas J.; Stewart, Neil F.) Specifying useful error bounds forgeometry tools: an intersector exemplar. (English summary)

Muller, Rainer2 Universal parametrization and interpolation on cubic surfaces. (Englishsummary) 2003h:65017

Muller-Hannemann,Matthias Quadrilateral surface meshes without self-intersecting dualcycles for hexahedralmesh generation. (English summary) 2003b:65015

Nakata, Susumu (with Hagiwara, Ichiro) Multiresolution representations of quadrilateralmeshes using lifting scheme. (Japanese. English and Japanese summaries)

Necula, Ioana see Espinola, Jesus et al., (2003f:68002)Netravali, Arun N. see Bruckstein, Alfred M. et al., 2003b:65013Nie, Hui see Luo, Xiaonan et al., 2003f:65029Park, Yunbeom see Lee, Byung-Gook et al., 2003k:65015Parra, Marıa Cruz see Lopez de Silanes,Marıa Cruz et al., 2003i:65016Patrikalakis, Nicholas M. (withMaekawa, Takashi) Shape interrogation for computeraided design and manufacturing. (English summary) 2003a:65014

Patterson, Richard R. Using duality to implicitize and find cusps and inflection points ofBezier curves. (English summary) 2003g:65021

Pavlov, Elan see Bercovier, Michel et al., 2003f:65025Pelosi, Francesca see Costantini,Paolo, 2003c:65012Peng, Guo Hua see Zhou,Min et al.Perez-Dıaz, Sonia (with Sendra, Rafael) ParametricG 1-blending of several surfaces.(English summary) 2003m:65019

Peters, Jorg C 2 free-form surfaces of degree (3, 5). (English summary) 2003h:65018

Peters, Thomas J. seeMow, C. P. et al.Phien, HuynhNgoc see Dejdumrong, Nattawit et al., 2003e:65020Prakash, B. G. seeKumar, G. V. V. Ravi et al.Qin, Kai Huai (with Chang, Zheng Yi; Wang, HuaWei; Li, Denggao) Physics-based loopsurface modeling. (English summary) 2003i:65017see alsoWang,Hua Wei et al.

Ramaswami, Suneeta see Bose, Prosenjit et al.Ravani, Bahram see Sprott, Kenneth, 2003e:65025Reif, Ulrich Uber die Losbarkeit nichtparametrischer Fairingprobleme. (Germansummary) [On the solvability of nonparametric fairing problems] 2003a:65015

Sabin, Malcolm Subdivision surfaces. (see 2003g:65001)Sakai, Manabu see Habib, Zulfiqar, 2003c:65014Sakkalis, Takis see Farouki, Rida T. et al., 2003g:65019Sanchez-Reyes, J. p-Bezier curves, spirals, and sectrix curves. (English summary)

2003f:65030Sederberg, Thomas W. see Chen, Fa Lai, 2003d:65012Sendra, Rafael see Perez-Dıaz, Sonia, 2003m:65019

Shastry, K. G. see Kumar, G. V. V. Ravi et al.Shi, Xi Quan2 see Yu, Pi Qiang, 2003b:65016 and 2003k:65016

Shou,Hua Hao (with Liu, Li Gang; Wang, Guo Jin1) An offset approximation algorithmbased on Liu Hui’s circle subdivision method. (Chinese. English and Chinese summaries)2003a:65016

see alsoMartin, Ralph et al.Singh, Umesh Kumar (withMazumdar, Neeta; Chaudhari, N. S.) Applications of Beziercurves in computer aided geometric design. (English summary) 2003i:65018

Slawinski, Michael A. see Ait-Haddou,Rachid et al., 2003g:65017Song, Jia Hong seeWang, Jian Hua et al., 2003m:65020Sprott, Kenneth (with Ravani, Bahram) Kinematic generation of ruled surfaces. (Englishsummary) 2003e:65025

Srinivasan, Prabha see Kumar, G. V. V. Ravi et al.

Stewart, Neil F. seeMow, C. P. et al.

Strintzis, Michael G. see Kompatsiaris, Ioannis et al., 2003d:65014Sugihara, Kokichi Voronoi diagrams. (see 2003g:65001)Sun, Hong Bing (with Chen, Xiao Qun) Degree reduction of interval Bezier surfaces.(Chinese. English and Chinese summaries) 2003f:65031

Sun, Jia Guang see Liu, Shu et al.Tang, Xiao Ping Convexity-preservingpiecewise cubic Bezier interpolation spline curves.(Chinese. English and Chinese summaries)An interpolation property for NURBS curves. (Chinese. English and Chinese sum-maries)

Torrens, Juan Jose see Lopez de Silanes,Marıa Cruz et al., 2003i:65016Toussaint, Godfried T. see Bose, Prosenjit et al.

Turki, Alain see Bose, Prosenjit et al.

Tzovaras, Dimitrios see Kompatsiaris, Ioannis et al., 2003d:65014Ungstrup, Michael see Gravesen, Jens, 2003e:65022


Varady, Tamas (withMartin, Ralph) Reverse engineering. (see 2003g:65001)Voiculescu, Irina seeMartin, Ralph et al.Wagner, Michael G. see Juttler, Bert, (2003g:65001)Walton, D. J. (withMeek, D. S.) Curvature extremaof planar parametric polynomial cubiccurves. (English summary) 2003d:65015

Wang,Guo Jin1 see Shou,Hua Hao et al., 2003a:65016;Chen, Dongren, 2003c:65011;Liu,Li Gang, 2003f:65028;Chen, Guo-Dong, 2003g:65018;Zhang,Hongxin, 2003m:65022 andMartin, Ralph et al.

Wang, Guo Zhao see Lu, Yonggang et al., 2003e:65023 and Chen, Qin Yu et al.,2003m:65018

Wang,Hua Wei (with Guan, Youjiang; Qin, Kai Huai) Error estimate for Doo-Sabinsurfaces. (English summary)see also Qin, Kai Huai et al., 2003i:65017

Wang, Jian Hua (with Li, Cheng; Song, Jia Hong) Construction and properties of thenormalized totally positive B-basis of spaces U6 and U7. (Chinese. English and Chinesesummaries) 2003m:65020

Wang,Wen Ping1 Modeling and processing with quadric surfaces. (see 2003g:65001)Wang,Wen Tao (with Han, Xu Li) Construction of shape-preserving rational Beziercurves of degree 4. (Chinese. English and Chinese summaries)

Wang, Xiao Chun1 see Li, Xue Yi et al.

Watt, StephenM. see Corless, Robert M. et al., 2003b:65014Wei, Guo-fu (with Chen, Fa Lai) Sharp features of subdivision surfaces over triangularmeshes. (English and Chinese summaries) 2003f:65032

Wolters, Hans J. Rational techniques. (see 2003g:65001)Wu, Hongyi (with Zhu, Gong Qin) Modifiable quartic and quintic curves with shape-parameters. (English summary) 2003a:65017

Cn-continuous B-type spline curves with its localization interpolation and approxima-tion. (English summary) 2003c:65015

Wu, Tie-Ru (with Lei, Na; Cheng, Jinsan) WuWen-tsun formulae for the blending of pipesurfaces.

Xu, Guo Liang Surface mesh fairing by adaptive geometric diffusion. (Chinese. Englishsummary)

Xu, Liang Hong (withMen, Yong; Chen, Tie) Interpolation of space Bezier curves withgiven end points, tangent directions and curvatures. (Chinese. Chinese summary)2003f:65033

Yang, Jun Qing see Zhou,Min et al.Yang, Xun Nian see Lu, Yonggang et al., 2003e:65023 and Chen, Qin Yu et al., 2003m:65018

Ye, Xiuzi (with Cai, Yi-Yu; Chui, Cheekong; Anderson, James H.) Constructivemodelingof G 1 bifurcation. (English summary)

Ye, Zheng Lin see Zhou,Min et al.

Yoo, Jaechil see Lee, Byung-Gook et al., 2003k:65015Yoon, Joung-Hahn A scheme of tool path generation by global geometric properties for 3-axis sculptured surface machining. (English summary) (see 2003k:53001)

Yu, Pi Qiang (with Shi, Xi Quan2) G 1 continuous conditions for a kind of k × k-degreeB-spline surfaces. (Chinese. English and Chinese summaries) 2003b:65016(with Shi, Xi Quan2) New research on degree elevation of B-spline curves. (English andChinese summaries) 2003k:65016

Zhang, Cai Ming (with Cheng, Fuhua) Triangular patch modeling using combinationmethod. (English summary) 2003m:65021

Zhang,Hongxin (withWang, Guo Jin1) Semi-stationary subdivision operators ingeometric modeling. (English summary) 2003m:65022

Zhou,Min (with Peng, Guo Hua; Ye, Zheng Lin; Yang, Jun Qing) Computer-aided designof uniformly developable surfaces. (Chinese. English and Chinese summaries)

Zhu,Gong Qin seeWu, Hongyi, 2003a:65017


Adamy, Udo (with Giesen, Joachim; John, Matthias) Surface reconstruction usingumbrella filters. (English summary) 2003e:65026

Ahn, Young Joon An error bound analysis for cubic spline approximation of conic section.(English summary) 2003m:41011

Bajaj, Chanderjit L. see Xu, Guo Liang et al., 2003b:68198Bruckstein, Alfred M. (with Netravali, Arun N.; Richardson, Thomas J.) Epi-convergenceof discrete elastica. (English summary) 2003a:49018

Bugeda, G. see Ribo, R. et al., 2003g:68157Carnicer, J. M. (with Garcıa-Esnaola, M.) Lagrange interpolation on conics and cubics.(English summary) 2003c:65007

Che, Xiang Jiu (with Liang, Xue Zhang) G 2 continuity conditions between two patches ofadjacent NURBS surfaces. (Chinese. English and Chinese summaries) 2003f:65023

Chen, Fa Lai see Deng, Jian Song et al., 2003d:41005Cheng,Ho-Lun (with Dey, Tamal K.; Edelsbrunner, Herbert; Sullivan, John M.) Dynamicskin triangulation (extended abstract). (English summary) (see 2003i:68002)

Choi, Hyeong In (with Lee, Doo Seok; Moon, Hwan Pyo) Clifford algebra, spinrepresentation, and rational parameterization of curves and surfaces. (English summary)2003c:53003

Cruz-Garcıa, Miguel-Angel seeMunozDelgado, Francisco Javier et al., (2003a:00031)Deng, Jian Song (with Feng, Yu Yu; Chen, Fa Lai) Best one-sided approximation ofpolynomials under L1 norm. (English summary) 2003d:41005

Dey, Tamal K. see Cheng,Ho-Lun et al., (2003i:68002)Dumitrascu, Stelian Every convex polygon is swept by its inner normal more than 4 times.(English summary) 2003c:52002

Dyn, Nira (with Floater, Michael S.; Iske, Armin) Adaptive thinning for bivariate scattereddata. (English summary) 2003i:65014

Edelsbrunner, Herbert see Cheng,Ho-Lun et al., (2003i:68002)Estrada Sarlabous, Jorge C. see HernandezMederos, Victoria, 2003i:41007Evans, Susan see Xu, Guo Liang et al., 2003b:68198FalconMartel, Antonio see Perez Nava, Fernando,2003h:68148(Farin, Gerald) see Handbook: Computer aided geometric design, 2003g:65001Feng, Guo-Chen see Lei, Na et al., (2003d:00014)Feng, Ren-Zhong (withWang, Ren-Hong) Smooth spline surfaces over arbitrarytopological triangular meshes. (English and Chinese summaries)

Feng, Yu Yu see Deng, Jian Song et al., 2003d:41005Floater, Michael S. (with Hormann, Kai; Reimers, Martin) Parameterization of manifoldtriangulations. (English summary) 2003d:41025

see also Dyn, Nira et al., 2003i:65014Garcıa-Esnaola, M. see Carnicer, J. M., 2003c:65007Giesen, Joachim see Adamy, Udo et al., 2003e:65026Goldman, Ron (withMorin, Geraldine) The affine invariant analytic blossom. (Englishsummary)

Gonzalez-Vega, Laureano (with Necula, Ioana) Efficient topology determination ofimplicitly defined algebraic plane curves. (English summary) 2003j:68146

Gu, Xianfeng (with Yau, Shing-Tung) Computing conformal structures of surfaces.(English summary) 2003m:65023

HernandezMederos, Victoria (with Estrada Sarlabous, Jorge C.) Designing a G 1 A-splinesurface over a triangulation. (English summary) 2003i:41007

Hormann, Kai see Floater,Michael S. et al., 2003d:41025(Hoschek, Josef) see Handbook:Computer aided geometric design, 2003g:65001Hu, Shi Min see Li, Yan Tao et al.Hu, Xiao-min seeWang, Xiao Ping3 et al., 2003c:65016Ilinkin, Ivaylo (with Janardan, Ravi; Majhi, Jayanth; Schwerdt, Jorg; Smid, Michiel;Sriram, Ram) A decomposition-based approach to layered manufacturing. (Englishsummary) 2003g:68150

Iske, Armin see Dyn, Nira et al., 2003i:65014Janardan, Ravi see Ilinkin, Ivaylo et al., 2003g:68150John, Matthias see Adamy, Udo et al., 2003e:65026(Kim, Myung-Soo) see Handbook: Computer aided geometric design, 2003g:65001Kong, V. P. (with Ong, B. H.) Shape perserving F 3 curve interpolation. (English summary)

2003e:65018Lee, Doo Seok see Choi, Hyeong In et al., 2003c:53003Lei, Na (withWu, Tie-Ru; Feng, Guo-Chen) Wu Wen-Tsun formulae for the blending ofquadratic surfaces. (English summary) (see 2003d:00014)

Li, Hong Da seeWang, Xiao Ping3 et al., 2003c:65016Li, Xiang-Yang (with Teng, Shang-Hua) Generating well-shaped Delaunay meshes in 3D.(English summary) (see 2003i:68002)

Li, Yan Tao (with Liu, Shi Xia; Hu, Shi Min; Sun, Jia Guang) Geometric constraintsolving techniques based on symbolic algebra and graphical reduction. (Chinese. Englishand Chinese summaries)

Liang, Xue Zhang see Che, Xiang Jiu, 2003f:65023Lim, Choong-Gyoo Universal parametrization in constructing smoothly-connected B-spline surfaces. (English summary) 2003e:65016

Liu, Shi Xia see Li, Yan Tao et al.

Lopez Linares, A. J. (with Pasadas, Miguel) Approximation of discontinuous parametriccurves and surfaces with tangency conditions. (Spanish. English summary) (see2003a:00031)

Majhi, Jayanth see Ilinkin, Ivaylo et al., 2003g:68150Marco, A. (withMartınez, Jose-Javier) Implicitization of rational surfaces by means ofpolynomial interpolation. (English summary) 2003c:65008

Martınez, Jose-Javier seeMarco, A., 2003c:65008Meng, Ya-qin seeWang, Xiao Ping3 et al., 2003c:65016Merrien, Jean-Louis (with Sablonniere, Paul) Monotone and convex C 1 Hermiteinterpolants generated by a subdivision scheme. (English summary) 2003j:41025

Molina-Tebar, Antonio seeMunoz Delgado, Francisco Javier et al., (2003a:00031)Moon, Hwan Pyo see Choi, Hyeong In et al., 2003c:53003Morin, Geraldine see Goldman, Ron

Munoz Delgado, Francisco Javier (with Cruz-Garcıa, Miguel-Angel; Molina-Tebar,Antonio) An algorithm for generating intermediate operators between Bernsteinoperators and Lagrange operators. (Spanish. English summary) (see 2003a:00031)

Necula, Ioana see Gonzalez-Vega,Laureano, 2003j:68146Netravali, Arun N. see Bruckstein, Alfred M. et al., 2003a:49018Noakes, J. Lyle Quadratic interpolation on spheres. (English summary) 2003g:41010

Onate, E. see Ribo, R. et al., 2003g:68157Ong, B. H. see Kong, V. P., 2003e:65018Paluszny, M. (with Patterson, Richard R.; Tovar, F.) The singular point of an algebraiccubic. (English summary) 2003c:14069

Pasadas, Miguel see Lopez Linares, A. J., (2003a:00031)Patterson, Richard R. see Paluszny, M. et al., 2003c:14069Perez Nava, Fernando (with Falcon Martel, Antonio) Condensation-based contourtracking with Sobolev smoothness priors. (English summary) 2003h:68148

Plaza, Angel (with Rivara, Marıa-Cecilia) On the adjacencies of triangular meshes basedon skeleton-regular partitions. (English summary) 2003i:65020

Reimers, Martin see Floater, Michael S. et al., 2003d:41025Ribo, R. (with Bugeda, G.; Onate, E.) Some algorithms to correct a geometry in order tocreate a finite element mesh. (English summary) 2003g:68157

Richardson, Thomas J. see Bruckstein, Alfred M. et al., 2003a:49018Rivara, Marıa-Cecilia see Plaza, Angel, 2003i:65020Sablonniere, Paul seeMerrien, Jean-Louis, 2003j:41025Schwerdt, Jorg see Ilinkin, Ivaylo et al., 2003g:68150Smid, Michiel see Ilinkin, Ivaylo et al., 2003g:68150Sriram, Ram see Ilinkin, Ivaylo et al., 2003g:68150Sullivan, John M. see Cheng,Ho-Lun et al., (2003i:68002)Sun, Jia Guang see Li, Yan Tao et al.

Szilvasi-Nagy,Marta Konstruktion von Verbindungsflachen mittels trigonometrischerBindefunktionen. (English summary) [Construction of swept surfaces via trigonometricblending functions] 2003c:68237

Filling holes with B-spline surfaces. (English summary) 2003j:65007Teng, Shang-Hua see Li, Xiang-Yang, (2003i:68002)Tovar, F. see Paluszny, M. et al., 2003c:14069Vieira-Teste, Sylvie 3D geological surfaces modelling, using deformablemodels. (Englishsummary) (see 2003a:00031)

Wang, Ren-Hong see Feng, Ren-ZhongWang, Xiao Ping3 (with Ye, Zheng Lin; Li, Hong Da; Hu, Xiao-min; Meng, Ya-qin) The


technique of free-formdeformation based on extension function for planar parametriccurve. (English and Chinese summaries) 2003c:65016

Wu, Tie-Ru see Lei, Na et al., (2003d:00014)Xu, Guo Liang (with Bajaj, Chanderjit L.; Evans, Susan) C 1 modeling with hybridmultiple-sided A-patches. (English summary) 2003b:68198

Yamaguchi,Yasushi A basic evaluationmethod of subdivision surfaces. (English summary)2003g:68160

Yau, Shing-Tung see Gu, Xianfeng, 2003m:65023

Ye, Zheng Lin seeWang, Xiao Ping3 et al., 2003c:65016Zagar, Emil On G 2 continuous spline interpolation of curves in R



Handbook:

Computer aided geometric design Handbook of computer aided geometric design.2003g:65001

65D18 Computer graphics and computational geometry[see also 51N05, 68U05]

Adamy, Udo (with Giesen, Joachim; John, Matthias) Surface reconstruction usingumbrella filters. (English summary) 2003e:65026

Balasubramanian,R. (with Das, Sukhendu; Swaminathan, Krishnan) Simulation studiesfor the performance analysis of the reconstruction of a line in 3-D from two arbitraryperspective views using two plane intersection method. (English summary)

Barrera Sanchez, Pablo see HernandezMederos, Victoria et al., 2003j:65011Berzin, Dmitrii see Kojekine, Nikita et al.Bez, H. E. A functional equation for the computation of parameter symmetries of pathfunctions. (English summary)

Boissonnat, Jean-Daniel (with Vigneron, Antoine) An elementary algorithm for reportingintersections of red/blue curve segments. (English summary) 2003d:65016

Borouchaki, Houman see Villard, Julien et al., 2003h:65020Burchard, Paul see Cheng, Li-Tien et al., 2003b:65017Carey, Graham F. see Pablo Suarez Rivero, Jose et al.

Chapelle,Dominique see Villard, Julien et al., 2003h:65020Cheng, Li-Tien (with Burchard, Paul; Merriman, Barry; Osher, Stanley) Motion of curvesconstrained on surfaces using a level-set approach. (English summary) 2003b:65017

Cheong,Otfried see Na, Hyeon-Suket al., 2003g:65024Das, Sukhendu see Balasubramanian,R. et al.

Doddi, SrinivasR. (withMarathe, Madhav V.; Moret, Bernard M. E.) Point set labelingwith specified positions. (English summary) 2003f:65034

Duong Anh Duc see Hoang Van Kiem et al., 2003g:65023Edelsbrunner, Herbert Triangulations and meshes in computational geometry. (Englishsummary) 2003f:65035

Engquist, Bjorn see Tornberg, Anna-Karin, 2003i:65021Estrada Sarlabous, Jorge C. see HernandezMederos, Victoria et al., 2003j:65011Etzion,Michal (with Rappoport, Ari) Computing Voronoi skeletons of a 3-D polyhedronby space subdivision. (English summary) 2003d:65017

Evans, David John1 see Jiang, Tianzi et al.de Figueiredo, Luiz Henrique see de Oliveira, Joao Batista S.

Floater,Michael S. Mean value coordinates. (English summary)Frazer, John see Liu, Xi Yu et al.

Garcıa Olaverri, Alfredo (with Tejel, F. Javier) Using totally monotone matrices to solveproblems of Hamiltonian curves. (English summary) 2003b:65018

Giesen, Joachim see Adamy, Udo et al., 2003e:65026Gotovac, S. see Kovac, N. et al., 2003e:65027Gu, Xianfeng (with Yau, Shing-Tung) Computing conformal structures of surfaces.(English summary) 2003m:65023

Gudmundsson, Joachim (with Hammar, Mikael; van Kreveld, Marc) Higher orderDelaunay triangulations. (English summary) 2003a:65018

Hagen,Hans see Scheuermann,Gerik, (2003g:65001)Hagiwara, Ichiro see Kojekine,Nikita et al.Hammar, Mikael see Gudmundsson, Joachim et al., 2003a:65018Han, Xu Li Quadratic trigonometric polynomial curves with a shape parameter. (Englishsummary) 2003g:65022

HernandezMederos, Victoria (with Estrada Sarlabous, Jorge C.; Barrera Sanchez, Pablo)A new algorithm to compute the Euclidean distance from a point to a conic. (English andSpanish summaries) 2003j:65011

Hoang Van Kiem (with Duong Anh Duc; Le Dinh Duy) A fast algorithm for polygonclipping. (English summary) 2003g:65023

Hu, Xiao-min seeWang, Xiao Ping3 et al., 2003c:65016Jiang, Tianzi (with Liu, Bing5; Lu, Yingli; Evans, David John1) A neural networkapproach to shape from shading. (English summary)

Joan-Arinyo, Robert (withMata, N.) Applying constructive geometric constraint solvers togeometric problems with interval parameters. (English summary)

John,Matthias see Adamy, Udo et al., 2003e:65026Kamenev, George K. Conjugate adaptive algorithms for the polyhedral approximation ofconvex bodies. (Russian. Russian summary) 2003j:65012

Kochengin,S. A. (with Oliker, Vladimir I.) Computational algorithms for constructingreflectors. (English summary)

Kojekine,Nikita (with Savchenko, Vladimir; Berzin, Dmitrii; Hagiwara, Ichiro) Computergraphics applications based on compactly supported radial basis functions toolkit.(English summary)

Kovac, N. (with Gotovac, S.; Poljak, D.) A new front updating solution applied to someengineering problems. (English summary) 2003e:65027

van Kreveld, Marc see Gudmundsson, Joachim et al., 2003a:65018Le Dinh Duy see Hoang Van Kiem et al., 2003g:65023Lee, Chung-Nim see Na, Hyeon-Suk et al., 2003g:65024Leopoldseder, Stefan Cone spline surfaces and spatial arc splines—a sphere geometricapproach. (English summary) 2003f:65036

Li, Hong Da seeWang, Xiao Ping3 et al., 2003c:65016Li, Xiang-Yang (with Teng, Shang-Hua) Generating well-shaped Delaunay meshes in 3D.(English summary) (see 2003i:68002)

Liu, Bing5 see Jiang, Tianzi et al.Liu, Xi Yu (with Frazer, John; Tang, Ming Xi) Visualization and genetic algorithms inminimax theory for nonlinear functionals. (English summary)

Lu, Yingli see Jiang, Tianzi et al.

Maekawa, Takashi see Patrikalakis, Nicholas M., (2003g:65001)Marathe, MadhavV. see Doddi, Srinivas R. et al., 2003f:65034Mata, N. see Joan-Arinyo,Robert

Meek, D. S. Coaxing a planar curve to comply. (English summary) 2003i:65019

Meng, Ya-qin seeWang, Xiao Ping3 et al., 2003c:65016Merriman, Barry see Cheng, Li-Tien et al., 2003b:65017Moret, Bernard M. E. see Doddi, Srinivas R. et al., 2003f:65034Morvan, Jean-Marie (with Thibert, B.) On the approximation of a smooth surface with atriangulatedmesh. (English summary) 2003h:65019

Na, Hyeon-Suk (with Lee, Chung-Nim; Cheong, Otfried) Voronoi diagrams on the sphere.(English summary) 2003g:65024

Oliker, Vladimir I. see Kochengin,S. A.

de Oliveira, Joao Batista S. (with de Figueiredo, Luiz Henrique) Robust approximation ofoffsets, bisectors, and medial axes of plane curves. (English summary)

Osher, Stanley see Cheng, Li-Tien et al., 2003b:65017Pablo Suarez Rivero, Jose (with Plaza, Angel; Carey, Graham F.) Geometric datastructures for skeleton-based refinement. (Spanish. English and Spanish summaries)

Patrikalakis, Nicholas M. (withMaekawa, Takashi) Intersection problems. (see2003g:65001)

Perwass, Christian B. U. (with Sommer, Gerald) Numerical evaluation of versors withClifford algebra. (English summary) 2003e:65028

Plaza, Angel (with Rivara, Marıa-Cecilia) On the adjacencies of triangular meshes basedon skeleton-regular partitions. (English summary) 2003i:65020

see also Pablo Suarez Rivero, Jose et al.Poljak, D. see Kovac, N. et al., 2003e:65027Radoiu, Dumitru (with Roman, Adrian) 3D terrain reconstruction using scattered datasets. (English summary)

Rappoport,Ari see Etzion, Michal, 2003d:65017Rivara, Marıa-Cecilia see Plaza, Angel, 2003i:65020Roman, Adrian see Radoiu, Dumitru

Savchenko, Vladimir see Kojekine, Nikita et al.Scheuermann, Gerik (with Hagen, Hans) Vector and tensor field visualization. (see

2003g:65001)Shapiro, Vadim Solid modeling. (see 2003g:65001)Sommer, Gerald see Perwass, Christian B. U., 2003e:65028Stachel, Hellmuth see Szilvasi-Nagy,Marta et al.Suri, Subhash see Zhou, Yunhong,2003k:65017Swaminathan, Krishnan see Balasubramanian, R. et al.

Szabo, Jozsef On the axonometrical projection in the computer graphics. (Englishsummary)

Szilvasi-Nagy,Marta (with Vendel, Terez P.; Stachel, Hellmuth) C 2 filling of gaps byconvex combination of surfaces under boundary constraints. (English and Croatiansummaries)

Tang, Ming Xi see Liu, Xi Yu et al.

Tang, Yue Hong Separating-variablemethods for the construction of a class of hypersur-faces and their applications. (Chinese. English and Chinese summaries)

Tejel, F. Javier see Garcıa Olaverri, Alfredo, 2003b:65018Teng, Shang-Hua see Li, Xiang-Yang, (2003i:68002)Thibert, B. seeMorvan, Jean-Marie, 2003h:65019Tornberg, Anna-Karin (with Engquist, Bjorn) The segment projection method for interfacetracking. (English summary) 2003i:65021

Tsai, Yen-Hsi Richard Rapid and accurate computation of the distance function usinggrids. (English summary) 2003e:65029

Vendel, Terez P. see Szilvasi-Nagy,Marta et al.

Vigneron, Antoine see Boissonnat, Jean-Daniel, 2003d:65016Villard, Julien (with Borouchaki, Houman; Chapelle, Dominique) Simulation du drapedes tissus par maillages adaptatifs. (English and French summaries) [Simulation of clothdraping by adaptivemeshing] 2003h:65020

Wang, Xiao Ping3 (with Ye, Zheng Lin; Li, Hong Da; Hu, Xiao-min; Meng, Ya-qin) Thetechnique of free-formdeformation based on extension function for planar parametriccurve. (English and Chinese summaries) 2003c:65016

Yang, Shi-Nine (with Yang, Yung-Jen) Step length problem for trimming curve approxima-tion in tessellating trimmed surfaces. (English summary) 2003i:65022

Yang, Yung-Jen see Yang, Shi-Nine, 2003i:65022Yau, Shing-Tung see Gu, Xianfeng, 2003m:65023

Ye, Zheng Lin seeWang, Xiao Ping3 et al., 2003c:65016Zhou, Yunhong (with Suri, Subhash) Algorithms for a minimum volume enclosing simplexin three dimensions. (English summary) 2003k:65017


Adams, Ernest W. Surfaces and superposition. (English summary) 2003i:51018

Amenta, Nina (with Choi, Sunghee; Dey, Tamal K.; Leekha, Naveen) A simple algorithmfor homeomorphic surface reconstruction. (English summary) 2003h:68142

Anderson, James H. see Ye, Xiuzi et al.Arya, Sunil (withMalamatos, Theocharis; Mount, DavidM.) Entropy-preserving cuttingsand space-efficient planar point location. (English summary) (see 2003i:68002)

Bercovier, Michel (with Luzon, Moshe; Pavlov, Elan) Detecting planar patches in anunorganised set of points in space. (English summary) 2003f:65025

Bern, Marshall Adaptive mesh generation. (English summary) 2003m:65220

Bespamyatnikh, Sergei An optimal morphing between polylines. (English summary)2003e:68133

Boissonnat, Jean-Daniel (with Cazals, Frederic) Smooth surface reconstruction via naturalneighbour interpolation of distance functions. (English summary) 2003b:65010


Bose, Prosenjit (with Ramaswami, Suneeta; Toussaint, Godfried T.; Turki, Alain)Experimental results on quadrangulations of sets of fixed points. (English summary)

Bossavit, Alain see Rapetti, Francesca et al., 2003m:15034

Bronsvoort,W. F. see Gansca, I. et al., 2003j:68142Bungartz,Hans-Joachim (with Griebel, Michael; Zenger, Christoph) Einfuhrung in dieComputergraphik. (German) [Introduction to computer graphics] 2003k:68002

Burman, Prabir see Sengupta,Kuntal et al., 2003m:68152

Cai, Yi-Yu see Ye, Xiuzi et al.Cao, Bin see Yue, Xiao Li et al.

Carnicer, J. M. (withMainar, E.; Pena, Juan Manuel) Restricted systems. (Englishsummary) 2003m:41012

Cazals, Frederic see Boissonnat, Jean-Daniel,2003b:65010Che, Xiang Jiu (with Liang, Xue Zhang) G 2 continuity conditions between two patches ofadjacent NURBS surfaces. (Chinese. English and Chinese summaries) 2003f:65023G 2 continuity conditions between two patches of bi-cubic tensor product non-uniformB-spline surfaces. (Chinese. English and Chinese summaries)

Chen, Chuan Bo see He, Da Hua

Chen, Fa Lai seeWei, Guo-fu, 2003f:65032Chen,Qin Yu (with Yang, Xun Nian; Wang, Guo Zhao) Properties and applications offourth-degreeC -curves. (Chinese. English and Chinese summaries) 2003m:65018

Chen,Wei3 (withWada, Koichi; Kawaguchi, Kimio) Robust algorithms for constructingstrongly convex hulls in parallel. (English summary) 2003h:68143

Chen, Xiao Diao see Lu, Yonggang et al., 2003e:65023Chen, Xiao Qun see Sun, Hong Bing, 2003f:65031Cheng, Fuhua see Zhang, Cai Ming, 2003m:65021

Cheng,Ho-Lun (with Dey, Tamal K.; Edelsbrunner, Herbert; Sullivan, John M.) Dynamicskin triangulation (extended abstract). (English summary) (see 2003i:68002)

Cheng, Jinsan seeWu, Tie-Ru et al.Chin, Francis Y. L. (with Fung, Stanley P. Y.; Wang, Cao An) Approximation forminimum triangulation of convex polyhedra. (English summary) (see 2003i:68002)

Choi, Hyeong In (with Han, Chang Yong) The medial axis transform. (see 2003g:65001)(with Han, Chang Yong) Euler-Rodrigues frames on spatial Pythagorean-hodographcurves. (English summary) 2003i:53002

Choi, Sunghee see Amenta, Nina et al., 2003h:68142Chui, Cheekong see Ye, Xiuzi et al.

Coman, Gheorghe see Gansca, I. et al., 2003j:68142Devillers, Olivier (with Ramos, Pedro A.) Computing roundness is easy if the set is almostround. (English summary) 2003g:68148The Delaunay hierarchy. (English summary) 2003c:68232

(with Pion, Sylvain; Teillaud, Monique) Walking in a triangulation. (English summary)2003c:68233

Dey, Tamal K. see Amenta, Nina et al., 2003h:68142 and Cheng, Ho-Lun et al.,(2003i:68002)

Dıaz-Banez, Jose Miguel The power of computational geometry in solving optimizationproblems. (Spanish. Spanish summary) (see 2003a:00034)

Diewald, U. (withMorigi, S.; Rumpf, Martin) A cascadic geometric filtering approach tosubdivision. (English summary) 2003j:68145

Dubois, Francois see Rapetti, Francesca et al., 2003m:15034Duong Anh Duc see Hoang Van Kiem, 2003j:94008Edelsbrunner, Herbert (with Letscher, David; Zomorodian, Afra) Topological persistenceand simplification. (English summary) 2003m:52019

see also Cheng,Ho-Lun et al., (2003i:68002)Elber, Gershon Direct rendering of freeform surfaces. (see 2003g:65001)(Farin, Gerald) see Handbook: Computer aided geometric design, 2003g:65001Fedkiw, Ronald P. see Osher, Stanley, 2003j:65002Fiorot, Jean-Charles (with Gibaru, Olivier) Blowing up: application to G 2-continuous 8-sided filling patch. (English summary) 2003h:65015

see also Gibaru,Olivier, 2003h:65016(Floater, Michael S.) see Tutorials on multiresolution in geometric modelling, 2003f:65003Freedman,Daniel Combinatorial curve reconstruction in Hilbert spaces: a new samplingtheory and an old result revisited. (English summary) 2003k:68113

Fung, Stanley P. Y. see Chin, Francis Y. L. et al., (2003i:68002)Gansca, I. (with Bronsvoort, W. F.; Coman, Gheorghe; Tambulea, L.) Self-intersectionavoidance and integral properties of generalized cylinders. (English summary)2003j:68142

Gibaru,Olivier (with Fiorot, Jean-Charles) Determination des images d’un point de based’une surface rationnelle tensorielle definie par des vecteurs massiques. (English andFrench summaries) [Determination of the images of a base point of a tensorial rationalsurface defined by massic vectors] 2003h:65016see also Fiorot, Jean-Charles,2003h:65015

Gilsinn, David E. see Lavery, John E., (2003e:41001)Gout, Christian Ck surface approximation from surface patches. (English summary)

2003d:65013

Gravesen, Jens (with Ungstrup, Michael) Constructing invariant fairness measures forsurfaces. (English summary) 2003e:65022

Griebel, Michael see Bungartz, Hans-Joachimet al., 2003k:68002Grima, Clara I. (withMarquez, Alberto) Computational geometry on surfaces. (Englishsummary) 2003a:68135

Gudmundsson, Joachim (with Levcopoulos, Christos; Narasimhan, Giri) Fast greedyalgorithms for constructing sparse geometric spanners. (English summary) 2003h:68145

Gupta, Sumit see Sengupta,Kuntal et al., 2003m:68152Habib, Zulfiqar (with Sakai, Manabu) G 2 planar cubic transition between two circles.(English summary)

Han, Chang Yong see Choi, Hyeong In, 2003i:53002 and (2003g:65001)Har-Peled, Sariel (with Varadarajan,Kasturi R.) Approximate shape fitting vialinearization. (English summary) (see 2003h:68005)(with Sharir, Micha) Online point location in planar arrangements and its applications.(English summary) 2003d:68245

He, Da Hua (with Chen, Chuan Bo) A sufficient and necessary condition for two trianglesto be non-overlapping. (Chinese. English and Chinese summaries)

Hestenes, David see Li, Hongbo et al., (2003m:68003)Hoang Van Kiem (with Duong Anh Duc) Applying algebraic curves in digital imagevectorization. (English summary) 2003j:94008

Hoffmann, ChristophM. (with Joan-Arinyo, Robert) Parametric modeling. (see2003g:65001)

Holla, V. Devaraja see Kumar, G. V. V. Ravi et al.

Homentcovschi, Laurentiu Geometrie computationala. (Romanian) [Computationalgeometry] 2003k:52011

(Hoschek, Josef) see Handbook:Computer aided geometric design, 2003g:65001Hu, Shi Min see Li, Yan Tao et al.

Imai, Hiroshi (withMasada, Tomonari; Takeuchi, Fumihiko; Imai, Keiko) Enumeratingtriangulations in general dimensions. (English summary) 2003k:05008

Imai, Keiko see Imai, Hiroshi et al., 2003k:05008(Iske, Armin) see Tutorials on multiresolution in geometric modelling, 2003f:65003Jacob-Da Col, Marie-Andree About local configurations in arithmetic planes. (Englishsummary) 2003e:68139

Joan-Arinyo, Robert see Hoffmann, ChristophM., (2003g:65001)Juttler, Bert (withWagner, Michael G.) Kinematics and animation. (see 2003g:65001)Kawaguchi, Kimio see Chen, Wei3 et al., 2003h:68143(Kim, Myung-Soo) see Handbook: Computer aided geometric design, 2003g:65001Kumar, G. V. V. Ravi (with Srinivasan, Prabha;Holla, V. Devaraja; Shastry, K. G.; Prakash,B. G.) Geodesic curve computations on surfaces. (English summary)

Lasser, Dieter Tensor product Bezier surfaces on triangle Bezier surfaces. (Englishsummary) 2003k:65014

Lavery, John E. (with Gilsinn, David E.) Representation of natural terrain by cubic L1splines. (English summary) (see 2003e:41001)

Leekha, Naveen seeAmenta, Nina et al., 2003h:68142Lei, Na seeWu, Tie-Ru et al.

Letscher, David see Edelsbrunner, Herbert et al., 2003m:52019

Levcopoulos, Christos see Gudmundsson, Joachim et al., 2003h:68145Li, Hongbo (with Hestenes, David; Rockwood, Alyn) Generalized homogeneouscoordinates for computational geometry. (see 2003m:68003)

Li, Yan Tao (with Liu, Shi Xia; Hu, Shi Min; Sun, Jia Guang) Geometric constraintsolving techniques based on symbolic algebra and graphical reduction. (Chinese. Englishand Chinese summaries)

Liang, Xue Zhang see Che, Xiang Jiu, 2003f:65023Liu, Shi Xia see Li, Yan Tao et al.

Lu, Guo Dong see Yue, Xiao Li et al.


Luzon, Moshe see Bercovier, Michel et al., 2003f:65025Mainar, E. see Carnicer, J. M. et al., 2003m:41012

Malamatos, Theocharis see Arya, Sunil et al., (2003i:68002)Mann, Stephen Adjusting control points to achieve continuity. (English summary)

2003g:65020

Marquez, Alberto see Grima, Clara I., 2003a:68135Masada, Tomonari see Imai, Hiroshi et al., 2003k:05008Mehlhorn, Kurt (withMeiser, Stefan; Rasch, Ronald) Furthest site abstract Voronoidiagrams. (English summary) 2003d:68248

Meiser, Stefan seeMehlhorn,Kurt et al., 2003d:68248Morigi, S. see Diewald, U. et al., 2003j:68145Mount, David M. see Arya, Sunil et al., (2003i:68002)Muller, Rainer2 Universal parametrization and interpolation on cubic surfaces. (Englishsummary) 2003h:65017

Naeve, Ambjorn (with Svensson, Lars Eric) Geo-MAP unification. (see 2003m:68003)Narasimhan, Giri see Gudmundsson, Joachim et al., 2003h:68145Noakes, J. Lyle Null cubics and Lie quadratics. (English summary) 2003j:53013

Osher, Stanley (with Fedkiw, Ronald P.) Level set methods and dynamic implicitsurfaces. (English summary) 2003j:65002

Pavlov, Elan see Bercovier, Michel et al., 2003f:65025Pena, Juan Manuel see Carnicer, J. M. et al., 2003m:41012

Peng, Fang Yu (with Zhou, Yun Fei; Zhou, Ji1) An algorithm of surface smoothing basedon extended energy minimization. (Chinese. English and Chinese summaries)

Perez-Dıaz, Sonia (with Sendra, Rafael) ParametricG 1-blending of several surfaces.(English summary) 2003m:65019

Peters, Jorg C 2 free-form surfaces of degree (3, 5). (English summary) 2003h:65018

Pion, Sylvain see Devillers, Olivier et al., 2003c:68233

Prakash, B. G. seeKumar, G. V. V. Ravi et al.

(Quak, Ewald) see Tutorials on multiresolution in geometric modelling, 2003f:65003Radoiu, Dumitru (with Roman, Adrian) The relaxation of the fundamental conditions ofscientific visualization using equivalence classes. (English summary)

Rajasekaran, Sanguthevar (with Ramaswami, Suneeta) Optimal parallel randomizedalgorithms for the Voronoi diagram of line segments in the plane. (English summary)2003e:68141

Ramaswami, Suneeta see Rajasekaran, Sanguthevar, 2003e:68141and Bose, Prosenjit et al.

Ramos, Pedro A. see Devillers, Olivier, 2003g:68148Rapetti, Francesca (with Dubois, Francois; Bossavit, Alain) Integer matrix factorizationfor mesh defect detection. (English and French summaries) 2003m:15034

Rasch, Ronald seeMehlhorn,Kurt et al., 2003d:68248Reif, Ulrich Uber die Losbarkeit nichtparametrischer Fairingprobleme. (Germansummary) [On the solvability of nonparametric fairing problems] 2003a:65015

Rockwood, Alyn see Li, Hongbo et al., (2003m:68003)Roman, Adrian see Radoiu, Dumitru

Rumpf, Martin see Diewald, U. et al., 2003j:68145

Sakai, Manabu see Habib, Zulfiqar

Schroder, Peter Subdivision as a fundamental building block of digital geometry processingalgorithms. (English summary)

Sendra, Rafael see Perez-Dıaz, Sonia, 2003m:65019


Sengupta,Kuntal (with Burman, Prabir; Gupta, Sumit) Least committed splines in 3Dmodelling of free form objects from intensity images. (English summary) 2003m:68152

Sharir, Micha see Har-Peled, Sariel, 2003d:68245Shastry, K. G. see Kumar, G. V. V. Ravi et al.

Shen, Zhizhang The calculation of average distance in mesh structures. (English summary)2003i:68007

Shewchuk, JonathanRichard Delaunay refinement algorithms for triangular meshgeneration. (English summary) 2003b:65131

Srinivasan,Prabha see Kumar, G. V. V. Ravi et al.Stein,Michael L. Fast and exact simulation of fractional Brownian surfaces. (Englishsummary) 2003i:60063

Sugihara,Kokichi Voronoi diagrams. (see 2003g:65001)Sullivan, John M. see Cheng,Ho-Lun et al., (2003i:68002)Sun,Hong Bing (with Chen, Xiao Qun) Degree reduction of interval Bezier surfaces.(Chinese. English and Chinese summaries) 2003f:65031

Sun, Jia Guang see Li, Yan Tao et al.(Suppes, Patrick) see Adams, Ernest W., 2003i:51018Svensson, Lars Eric see Naeve, Ambjorn, (2003m:68003)Szilvasi-Nagy,Marta Filling holes with B-spline surfaces. (English summary) 2003j:65007

Takeuchi, Fumihiko see Imai, Hiroshi et al., 2003k:05008Tambulea, L. see Gansca, I. et al., 2003j:68142Tan, Jian Rong see Yue, Xiao Li et al.Teillaud,Monique see Devillers, Olivier et al., 2003c:68233Toussaint, Godfried T. see Bose, Prosenjit et al.Turki, Alain see Bose, Prosenjit et al.

Ungstrup,Michael see Gravesen, Jens, 2003e:65022Varadarajan, Kasturi R. see Har-Peled, Sariel, (2003h:68005)Veres, S. M. Error control in polytope computations. (English summary) 2003c:93036Wada, Koichi see Chen, Wei3 et al., 2003h:68143Wagner, Michael G. see Juttler, Bert, (2003g:65001)Wang, Cao An see Chin, Francis Y. L. et al., (2003i:68002)Wang,Guo Jin1 see Zhang, Hongxin, 2003m:65022

Wang,Guo Zhao see Lu, Yonggang et al., 2003e:65023 and Chen, Qin Yu et al.,2003m:65018

Wei, Guo-fu (with Chen, Fa Lai) Sharp features of subdivision surfaces over triangularmeshes. (English and Chinese summaries) 2003f:65032

Wu, Tie-Ru (with Lei, Na; Cheng, Jinsan) WuWen-tsun formulae for the blending of pipesurfaces.

Yang, Xun Nian see Lu, Yonggang et al., 2003e:65023 and Chen, Qin Yu et al., 2003m:65018

Ye, Xiuzi (with Cai, Yi-Yu; Chui, Cheekong; Anderson, James H.) Constructivemodelingof G 1 bifurcation. (English summary)

Yue, Xiao Li (with Lu, Guo Dong; Tan, Jian Rong; Cao, Bin) Primitive recognition onthe base of combined relationships between primitives. (Chinese. English and Chinesesummaries)

Zenger, Christoph see Bungartz, Hans-Joachim et al., 2003k:68002Zhang, Cai Ming (with Cheng, Fuhua) Triangular patch modeling using combinationmethod. (English summary) 2003m:65021

Zhang,Hongxin (withWang, Guo Jin1) Semi-stationary subdivision operators ingeometric modeling. (English summary) 2003m:65022

Zhou, Ji1 see Peng, Fang Yu et al.

Zhou, Yun Fei see Peng, Fang Yu et al.Zomorodian, Afra see Edelsbrunner, Herbert et al., 2003m:52019


Handbook:Computer aided geometric design Handbook of computer aided geometric design.

2003g:65001Munich Tutorials on multiresolution in geometric modelling. 2003f:65003


Tutorials on multiresolution in geometric modelling Tutorials on multiresolution ingeometric modelling. 2003f:65003

65D20 Computation of special functions, construction of tables[see also 33F05]

Barrio, Roberto Algorithms for the manipulation of Chebyshev polynomials. (Englishsummary) (see 2003a:00031)

Barry, D. A. (with Parlange, J. Y.; Li, Lei1; Prommer, H.; Cunningham, C. J.; Stagnitti, F.)Erratum: “Analytical approximations for real values of the LambertW -function” [Math.Comput. Simulation 53 (2000), no. 1-2, 95–103;MR 2001d:65029].

Boisvert, Jeffrey E. see Van Buren, Arnie L., 2003g:65025Bulirsch, Roland see Reinsch, K.-D. et al., 2003i:65023Cunningham, C. J. see Barry, D. A. et al.

Gehrmann, T. (with Remiddi, E.) Numerical evaluation of two-dimensional harmonicpolylogarithms. (English summary) 2003f:65037

Huhtanen,Marko (with Larsen, Rasmus Munk) On generating discrete orthogonalbivariate polynomials. (English summary) 2003e:65030

Larsen, Rasmus Munk see Huhtanen,Marko, 2003e:65030Li, Lei1 see Barry, D. A. et al.Nikiforov, A. F. (with Skachkov, M. V.) Methods for computing q-polynomials. (Russian.English and Russian summaries) 2003b:65019

Parlange, J. Y. see Barry, D. A. et al.

Prommer, H. see Barry, D. A. et al.Puschmann, U. seeReinsch, K.-D. et al., 2003i:65023Reinsch, K.-D. (with Bulirsch, Roland; Puschmann, U.) Numerical calculation of thegeneralized sine and cosine integral. (English summary) 2003i:65023

Remiddi, E. see Gehrmann, T., 2003f:65037Skachkov,M. V. see Nikiforov, A. F., 2003b:65019

Stagnitti, F. see Barry, D. A. et al.

Van Buren, Arnie L. (with Boisvert, Jeffrey E.) Accurate calculation of prolate spheroidalradial functions of the first kind and their first derivatives. (English summary)2003g:65025


Berbente, C. (with Brebenel, M.) Use of Legendre’s polynomials for approximatecalculation of the elliptical integrals. (English and Romanian summaries) 2003a:65020

Brebenel, M. see Berbente, C., 2003a:65020Chen, Ching Shyang see Li, Xin7 et al., 2003g:65015Dudek, Zbigniew Computing equivalent tabular functions. (English summary)

2003f:68020

Eisenberg, Theodore On an unknown algorithm for computing square roots. (Englishsummary)

Gabutti, Bruno (with Gatteschi, Luigi) New asymptotics for the zeros of Whittaker’sfunctions. (English summary) 2003h:33004

Gatteschi, Luigi see Gabutti, Bruno, 2003h:33004Gautschi, Walter Computation of Bessel and Airy functions and of related Gaussianquadrature formulae. (English summary) 2003d:33010

Gil, Amparo (with Segura, Javier; Temme, Nico M.) Evaluation of the modified Besselfunction of the third kind of imaginary orders. (English summary) 2003e:33007

(with Segura, Javier; Temme, Nico M.) Computing complex Airy functions by numericalquadrature. (English summary) 2003g:33004

Glazunov, N. M. Interval estimation of the values of some zeta- and L-functions and theirapplications. (Russian. English and Ukrainian summaries) 2003d:65039

Guo, Ben-Yu seeWang, Zhong-Qing,2003g:41019

Heckmann, Reinhold Contractivity of linear fractional transformations. (English summary)2003f:65081

Ho, Chih-Hsiang see Li, Xin7 et al., 2003g:65015Laushnyk, Oksana see Popov, Bogdan, 2003g:65016

Lether, Frank G. Analytical expansion and numerical approximation of the Fermi-DiracintegralsFj(x) of order j =−1/2 and j = 1/2. (English summary) 2003b:33036

Li, Xin7 (with Ho, Chih-Hsiang; Chen, Ching Shyang) Computational test of approxi-mation of functions and their derivativesby radial basis functions. (English summary)2003g:65015

MacLeod, Allan J. The efficient computation of some generalised exponential integrals.(English summary) 2003j:33069

Muller, Keith E. Computing the confluent hypergeometric function,M (a, b, x). (Englishsummary) 2003a:33044

Paris, R. B. On the use of Hadamard expansions in hyperasymptotic evaluation. I. Realvariables. (English summary) 2003b:33005

On the use of Hadamard expansions in hyperasymptotic evaluation. II. Complexvariables. (English summary) 2003b:33006

Error bounds for the uniform asymptotic expansion of the incomplete gamma function.(English summary) 2003h:33003

Popov, Bogdan (with Laushnyk, Oksana) Selection of iterative algorithm and startingapproximation for functions evaluation. (English summary) 2003g:65016

Segura, Javier see Gil, Amparo et al., 2003e:33007 and 2003g:33004

Skorokhodov, S. L. A regularization method for computing the hypergeometric functionF (a, b ; c; z) in a neighborhood of the singular points z = 1 and z =∞. (Russian. Russiansummary) 2003k:33032

Temme, Nico M. see Gil, Amparo et al., 2003e:33007 and 2003g:33004

Wang, Zhen1 (withWong, Roderick) Uniform asymptotic expansion of J'('a) via adifference equation. (English summary) 2003g:33008

Wang, Zhong-Qing (with Guo, Ben-Yu) A rational approximation and its applicationsto nonlinear partial differential equations on the whole line. (English summary)2003g:41019

Wong, Roderick seeWang, Zhen1, 2003g:33008

65D25 Numerical differentiation

Bigil′deeva, T. B. (with Gaıdukova, O. P.; Nikitina, S. A.) On the computation of theapproximating gradient for some classes of discontinuous functions. (Russian. Englishsummary) 2003a:65019

Fokin, Yu. A. see Zhilyakov, E. G., 2003j:65013Gaıdukova, O. P. see Bigil′deeva, T. B. et al., 2003a:65019

Hozumi, Noriyuki see Khan, Ishtiaq Rasool et al., 2003k:65018Khan, Ishtiaq Rasool (with Ohba, Ryoji; Hozumi, Noriyuki) Mathematical proof of closedform expressions for finite difference approximations based on Taylor series. (Englishsummary) 2003k:65018

Nikitina, S. A. see Bigil′deeva, T. B. et al., 2003a:65019

Ohba, Ryoji see Khan, Ishtiaq Rasool et al., 2003k:65018Roe, Philip L. see Toth, Gabor2, 2003h:65021

Toth, Gabor2 (with Roe, Philip L.) Divergence- and curl-preserving prolongation andrestriction formulas. (English summary) 2003h:65021

Zhilyakov, E. G. (with Fokin, Yu. A.) A variationalmethod for estimating the derivativesof empirical functions. (Russian. Russian summary) 2003j:65013


Barrio, Roberto (with Pena, Juan Manuel) Numerical evaluation of the pth derivativeofJacobi series. (English summary) 2003k:65013

Berdyshev, S. V. Finite-difference approximation of differentiation operator on the class ofsmooth functions on the real line. (English summary) 2003f:41004

Pena, Juan Manuel see Barrio, Roberto, 2003k:65013Rall, Louis B. (with Reps, Thomas W.) Algorithmic differencing. (English summary)

2003f:68150

Reps, Thomas W. see Rall, Louis B., 2003f:68150


65D30 Numerical integration

Abbasbandy,Saeid (with Fariborzi Araghi, Mohd. Ali) Numerical solution of improperintegrals with valid implementation. (English summary)

Bakhramov, S. A. Computation of integrals of oscillating functions using a local cubicspline. (Russian. English and Uzbek summaries) 2003k:65019

Barnett, Neil S. (with Dragomir, Sever Silvestru) Bounds in terms of the fourth derivativefor the remainder in the corrected trapezoid formula. (English summary) 2003i:65024

Bel′skaya, S. A. A minimax estimate for a double integral. (Russian) (see 2003b:00020)Benabidallah,A. (with Cherruault, Yves; Tourbier, Yves) Approximation method error ofmultiple integrals by simple integrals. (English summary) 2003m:65024

see alsoMora Martınez, Gaspar et al., 2003f:65040Berbente, C. (with Brebenel, M.) Use of Legendre’s polynomials for approximatecalculation of the elliptical integrals. (English and Romanian summaries) 2003a:65020

Blaga, Petru P. A general class of nonproduct quadrature formulas. (English summary)2003g:65026

Brebenel, M. see Berbente, C., 2003a:65020Cerone, Pietro (with Dragomir, Sever Silvestru) Three point quadrature rules. (Englishsummary) (see 2003c:26002)Product branched Peano kernels and numerical integration. (English summary) (see2003c:26002)Multidimensional integration via trapezoidal and three point generators. (Englishsummary) 2003m:65025

Cherruault,Yves (withMora Martınez, Gaspar; Tourbier, Yves) A new method forcalculatingmultiple integrals. (English summary) 2003b:65020

see alsoMora Martınez, Gaspar et al., 2003f:65040 and Benabidallah, A. et al.,2003m:65024

Choi, U. Jin see Kim, Philsu, 2003m:65027

Cools, Ronald see Kim, Kyoung Joong et al., 2003j:65015Cruz-Barroso, Ruyman (with Gonzalez-Vera, Pablo) On the computation of Gauss-typeand Szego quadrature formulas by the Levinson and the split Levinson algorithm.(English summary) 2003i:65025

Cruz-Uribe, David (with Neugebauer, C. J.) Sharp error bounds for the trapezoidal ruleand Simpson’s rule. (English summary) 2003j:65014

Dagnino, Catterina Bivariate quasi-interpolating splines with applications in numericalintegration. (English summary) 2003h:65022

(with Demichelis, Vittoria) Nodal spline integration rules for certain 2-D Cauchyprincipal value integrals. (English summary) 2003b:65021

(with Demichelis, Vittoria) Computational aspects of numerical integration based onoptimal nodal splines. (English summary)

Demichelis, Vittoria see Dagnino, Catterina, 2003b:65021Diethelm, Kai Erratum to: “Error bounds for spline-based quadrature methods for stronglysingular integrals” [J. Comput. Appl. Math. 89 (1998), no. 2, 257–261;MR 99e:65037].2003f:65038

Dragomir, Sever Silvestru see Barnett, Neil S., 2003i:65024 and Cerone, Pietro,(2003c:26002)

Du, Jin Yuan (with Hu, Ji Cheng) On quadrature formulae of hypersingular integrals.(English summary) (see 2003g:00024)(with Zhang, Meng) Quadrature formula of singular integral based on rationalinterpolation. (English summary) 2003i:65026

Dzyubko, S. I. Universal partitioning of the integration domain for exponential functions.(Russian. Russian summary)

Ehrich, Sven On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadratureformulas. (English summary) 2003g:65027

El-Mikkawy, Moawwad E. A. A unified approach to Newton-Cotes quadrature formulae.(English summary) 2003m:65026

Evans, G. A. How integration by parts leads to generalised quadrature methods. (Englishsummary)

Fariborzi Araghi, Mohd. Ali see Abbasbandy,Saeid

Fischer, J.-W. Romberg quadrature using the Bulirsch sequence. (English summary)2003e:65031

Gonzalez-Vera, Pablo see Cruz-Barroso, Ruyman, 2003i:65025Guessab, Allal On a new family of Gaussian quadrature formulae of Birkhoff type andsome lumped mass spectral approximations. II. Generalized Laguerre case on semi-infinite domains. (English summary) 2003k:65020

Hascelik, A. I. An algorithm for the exact numerical integration of a special class offunctions. (English summary) 2003f:65039

Hickernell, Fred J. (withWozniakowski, Henryk) Tractability of multivariate integrationfor periodic functions. (English summary) 2003g:65028

Hon, Yiu-Chung seeWu, Zongmin, 2003a:65024Hu, Ji Cheng see Du, Jin Yuan, (2003g:00024)Ixaru, L. Gr. see Kim, Kyoung Joong et al., 2003j:65015Joe, Stephen see Kuo, Frances Y., 2003j:65016;Sloan, Ian H. et al., 2003m:65030 and

2003m:65031

Kim, Kyoung Joong (with Cools, Ronald; Ixaru, L. Gr.) Quadrature rules using firstderivatives for oscillatory integrands. (English summary) 2003j:65015

Kim, Philsu (with Choi, U. Jin) Two trigonometric quadrature formulae for evaluatinghypersingular integrals. (English summary) 2003m:65027

Kirillov, K. A. (with Noskov, M. V.) Minimal quadrature formulas that are exact for Haarpolynomials. (Russian. Russian summary) 2003i:65027

Kuo, Frances Y. (with Joe, Stephen) Component-by-component construction of goodlattice rules with a composite number of points. (English summary) 2003j:65016

see also Sloan, Ian H. et al., 2003m:65030 and 2003m:65031

Largillier, Alain (with Titaud, Olivier) Product integration quadratures for the radiativetransfer problem with Hopf ’s kernel. (see 2003a:00028)

Laurie, D. P. see Venter, Antoinetta,2003e:65032Li, Youming1 (withWasilkowski, Grzegorz W.) Worst case complexity of weightedapproximation and integration over R

d . (English summary) 2003a:65021

Li, Yuan Lu see Yuan, Xiu Gui

Liu, Bin Qing (with Ren, Ya Di) Asymptotic properties of the Newton-Cotes numerical

integration formula. (Chinese. English and Chinese summaries)Ma, Hang (with Xu, Kai-Yu) Numerical evaluation of CPV boundary integrals withsymmetrical quadrature schemes. (English summary)

Maire, Sylvain Reducing variance using iterated control variates. (English summary)2003m:65028

Malyutin, V. B. Approximation of matrix-valued functional integrals by scalar-valuedfunctional integrals over a space of functions with a finite number of values. (Russian.English and Russian summaries) 2003m:65029

Martınez, Jose-Javier Orthogonal polynomials, Gaussian quadrature and eigenvalueproblems. (Spanish. English summary) 2003a:65022

Melnik, K. N. (withMelnik, R. V. N.) Optimal-by-accuracy and optimal-by-ordercubature formulae in interpolation classes. (English summary) 2003h:65023

Melnik, R. V. N. seeMelnik, K. N., 2003h:65023Mora Martınez, Gaspar (with Cherruault, Yves; Benabidallah, A.; Tourbier, Yves)Approximating multiple integrals via α-dense curves. (English summary) 2003f:65040

see also Cherruault,Yves et al., 2003b:65020Neugebauer, C. J. see Cruz-Uribe, David, 2003j:65014Noskov, M. V. see Kirillov, K. A., 2003i:65027Plaskota, Leszek (withWasilkowski, Grzegorz W.) The exact exponent of sparse gridquadratures in the weighted case. (English summary) 2003a:65023

Rathod,H. T. (with Shajedul Karim, Md.) An explicit integration scheme based onrecursion for the curved triangular finite elements. (English summary) 2003b:65022

Rempel′, G. G. Representation of Lagrange polynomials by Chebyshev polynomials.A method for computing the nodes and weights of Gauss quadrature. Numericalintegration of functions near power singularities. (Russian) 2003g:65029

Ren, Ya Di see Liu, Bin QingRizzoli, Irina On the efficiency of the approximation of integrals with Hermite’s algorithm.(English summary) 2003j:65017

Roumeliotis, John Product inequalities and weighted quadrature. (English summary) (see2003c:26002)

Shajedul Karim, Md. see Rathod,H. T., 2003b:65022Sloan, Ian H. (withWozniakowski, Henryk) Tractability of multivariate integration forweighted Korobov classes. (English summary) 2003g:65030

(with Kuo, Frances Y.; Joe, Stephen) On the step-by-step construction of quasi-MonteCarlo integration rules that achieve strong tractability error bounds in weighted Sobolevspaces. (English summary) 2003m:65030(with Kuo, Frances Y.; Joe, Stephen) Constructing randomly shifted lattice rules inweighted Sobolev spaces. (English summary) 2003m:65031

Smith, H. V. A correction term for Gauss-Legendre quadrature. (English summary)Sofo, Anthony Integral inequalities for N -times differentiablemappings. (Englishsummary) (see 2003c:26002)

Stancu, Dimitrie D. Numerical integration of functions by Gauss-Turan-Ionescu typequadratures. (see 2003f:01056)

Syam, Muhammed I. Approximating weakly and nearly singular integrals. (Englishsummary) 2003g:65031

Tamme, Enn Two-dimensional quadrature for functions with a point singularity. (Englishand Estonian summaries) 2003g:65032

Titaud, Olivier see Largillier, Alain, (2003a:00028)Tornberg, Anna-Karin Multi-dimensional quadrature of singular and discontinuousfunctions. (English summary) 2003k:65021

Tourbier, Yves see Cherruault, Yves et al., 2003b:65020;Mora Martınez, Gaspar et al.,2003f:65040 and Benabidallah,A. et al., 2003m:65024

Venter, Antoinetta (with Laurie, D. P.) A doubly adaptive integration algorithm usingstratified rules. (English summary) 2003e:65032

Wasilkowski, Grzegorz W. see Li, Youming1, 2003a:65021 and Plaskota, Leszek,2003a:65023

Weideman, J. A. C. Numerical integration of periodic functions: a few examples.2003c:65017

Werschulz, A. G. (withWozniakowski, Henryk) What is the complexity of surfaceintegration? (English summary) 2003b:65023

Wozniakowski, Henryk seeWerschulz, A. G., 2003b:65023;Hickernell, Fred J., 2003g:65028and Sloan, Ian H., 2003g:65030

Wu, Zongmin (with Hon, Yiu-Chung) Numerical integration of harmonic functions withrestricted sampling data. (English summary) 2003a:65024

Xu, Kai-Yu seeMa, Hang

Yuan, Xiu Gui (with Li, Yuan Lu) A wavelet method for calculating geophysical integralproblems. (Chinese. English and Chinese summaries)

Zhang, Meng see Du, Jin Yuan, 2003i:65026Zinterhof, Peter High dimensional improper integration procedures. 2003g:65033


Ahues, Mario (with Titaud, Olivier) Spectral approximation of weakly singular integrablekernels using projections. 2003g:65160

Aimi, A. (with Diligenti, M.) Numerical integration in 3D Galerkin BEM solution ofHBIEs. (English summary) 2003c:65132

Allasia, G. Approximating potential integrals by cardinal basis interpolants on multivariatescattered data. (English summary) 2003a:65009

Averbuch, Amir Z. (with Braverman, Elena; Coifman, R.; Israeli, M.) Fast evaluationof 2-D and 3-D oscillatory integrals with local Fourier bases. (English summary)2003k:65181

Balac, S. (with Caloz, G.) Induced magnetic field computations using a boundary integralformulation. (English summary) 2003f:78036

Barnett, Neil S. (with Cerone, Pietro; Dragomir, Sever Silvestru) Ostrowski typeinequalities for multiple integrals. (English summary) (see 2003c:26002)(with Buse, Constantin; Cerone, Pietro; Dragomir, Sever Silvestru) Ostrowski’sinequality for vector-valued functions and applications. (English summary) 2003h:26025

Baxter, G. W. see Dragomir, N. M.

Benabidallah,A. (with Cherruault, Yves; Mora Martınez, Gaspar) Approximation ofmultiple integrals by length of α-dense curves. (English summary)

Bettess, Peter see Sugimoto, Rie et al.


Boldea,M. V. see Dragomir, Sever Silvestru et al., 2003e:26024Braescu, L. see Dragomir, Sever Silvestru et al., 2003e:26024Braverman, Elena see Averbuch, Amir Z. et al., 2003k:65181(Brudno, Viola) see Landis, E. M., 2003c:01052Buse, Constantin see Dragomir, Sever Silvestru et al., 2003e:26024 and Barnett, Neil S. et

al., 2003h:26025Caloz, G. see Balac, S., 2003f:78036Cerone, Pietro Weighted three point identities and their bounds. (English summary)

2003e:26023

see also Barnett, Neil S. et al., 2003h:26025 and (2003c:26002)Chen, Ze Wen (withWang, Chuan Rong; Zhu, Yu Can) Wavelet approximationand calculation for a higher-order singular integral. (Chinese. English and Chinesesummaries) 2003e:65248

Cherruault,Yves see Benabidallah,A. et al.Coifman, R. see Averbuch, Amir Z. et al., 2003k:65181Cools, Ronald (with Schmid, Hans Joachim) On the (non)-existence of some cubatureformulas: gaps between a theory and its applications. (English summary)

Curto, Raul E. (with Fialkow, Lawrence A.) A duality proof of Tchakaloff’s theorem.(English summary) 2003e:41047

De Bonis, M. C. (with Della Vecchia, Biancamaria; Mastroianni, Giuseppe) Approxima-tion of the Hilbert transform on the real line using Hermite zeros. (English summary)2003e:42019

Della Vecchia, Biancamaria see De Bonis, M. C. et al., 2003e:42019Diligenti,M. see Aimi, A., 2003c:65132Dragomir, N. M. (with Baxter, G. W.) An approximation for the fiber refractive indexprofile via trapezoid formula. (English summary)

Dragomir, Sever Silvestru (with Peachey, T. C.) New estimation of the remainder in thetrapezoidal formula with applications. (English summary) 2003h:41035(with Buse, Constantin; Boldea, M. V.; Braescu, L.) A generalization of the trapezoidalrule for the Riemann-Stieltjes integral and applications. (English summary) 2003e:26024(with Rassias, Themistocles M.) Generalisations of the Ostrowski inequality andapplications. (English summary) (see 2003c:26002)(with Rassias, Themistocles M.) Some inequalities for the Riemann-Stieltjes integral.(English summary) (see 2003c:26002)see also Ostrowski type inequalities and applications in numerical integration, 2003c:26002;Barnett, Neil S. et al., 2003h:26025 and (2003c:26002)

Elliott, David see Johnston, Peter R., 2003g:65151Fang, Kai-Tai seeWang, Xiaoqun1, 2003m:62016Fettweis, Alfred The wave-digital method and some of its relativistic implications. (Englishsummary) 2003g:94006

Correction to: “The wave-digitalmethod and some of its relativistic implications” [IEEETrans. Circuits Systems I Fund. Theory Appl. 49 (2002), no. 6, 862–868; 1 911 289].

Fialkow, Lawrence A. see Curto, Raul E., 2003e:41047Fort, Jean-Claude (with Pages, Gilles) Asymptotics of optimal quantizers for some scalardistributions. (English summary) 2003f:60034

Friedel, Ilja (with Keller, Alexander) Fast generation of randomized low-discrepancy pointsets. (English summary) (see 2003i:65006)

Fujita, Takahiko (with Ito, Shunji; Ninomiya, Syoiti) The generalized van der Corputsequence and its application to numerical integration. (English summary) (see2003a:00039)(with Ito, Shunji; Ninomiya, Syoiti) The generalized van der Corput sequence and itsapplication to numerical integration. (English summary) 2003c:65003

Fushimi, Masanori seeMorohosi, Hozumi, (2003a:00039)(Gautschi, Walter) see Landis, E. M., 2003c:01052Gil, Amparo (with Segura, Javier; Temme, Nico M.) Computing complex Airy functionsby numerical quadrature. (English summary) 2003g:33004

Gori Nicolo-Amati, Laura (with Lo Cascio, Laura; Santi, Elisabetta) On the numericalevaluation of certain 2-D singular integrals. (English summary) 2003h:41037

Gotz, Mario Discrepancy and the error in integration. (English summary) 2003g:42058Hanna, George Some results for double integrals based on an Ostrowski type inequality.(English summary) (see 2003c:26002)

Heinrich, Stefan Quantum summation with an application to integration. (Englishsummary) 2003d:68098

Hickernell, Fred J. (with Hong, Hee Sun) Quasi-Monte-Carlo methods and theirrandomizations. (English summary) 2003g:65006Obtaining O(N−2+ε) convergence for lattice quadrature rules. (English summary) (see2003i:65006)(withWang, Xiaoqun1) The error bounds and tractability of quasi-Monte Carloalgorithms in infinite dimension. (English summary) 2003i:65009

see alsoWang, Yuan, (2003i:65006)Hong,Hee Sun see Hickernell, Fred J., 2003g:65006Hough, David M. Asymptotic estimation of Gaussian quadrature error for a nonsingularintegral in potential theory. (English summary) 2003b:41018

(Ionescu, Dumitru V.) seeMicula, G., (2003f:01056)Israeli, M. see Averbuch, Amir Z. et al., 2003k:65181Ito, Shunji see Fujita, Takahiko et al., 2003c:65003 and (2003a:00039)Johnston,Peter R. (with Elliott, David) Transformations for evaluating singular boundaryelement integrals. (English summary) 2003g:65151

Jung,Hee-Sun (with Kwon, Kil Hyun; Lee, Dong Won1) Error estimates of Gaussquadrature for Freud and Erdos weights. (English summary) 2003b:41019

Kawaguchi, Hideki Minkowski-norm-preserving highly accurate numerical integration forsuper relativistic particles. (Japanese)

Keller, Alexander see Friedel, Ilja, (2003i:65006) and Kollig, Thomas, (2003i:65006)Kim, Philsu (with Yun, Beong In) On the convergence of interpolatory-type quadraturerules for evaluating Cauchy integrals. (English summary) 2003i:41038

Kollig, Thomas (with Keller, Alexander) Efficient bidirectional path tracing by randomizedquasi-Monte Carlo integration. (English summary) (see 2003i:65006)

(Kronrod, Aleksandr Semenovich) see Landis, E. M., 2003c:01052Kubayi, D. G. (with Lubinsky, D. S.) Quadrature sums and Lagrange interpolation forgeneral exponential weights. (English summary) 2003k:41042

Kujala, Janne V. see Lukka, Tuomas J., 2003h:65004Kwon, Kil Hyun see Jung,Hee-Sun et al., 2003b:41019Landis, E. M. (with Yaglom, Isaak Moiseevich) Remembering A. S. Kronrod.

2003c:01052Lee, Dong Won1 see Jung, Hee-Sun et al., 2003b:41019Lemieux, Christiane (with Owen, Art B.) Quasi-regression and the relative importance ofthe ANOVA components of a function. (English summary) (see 2003i:65006)

Lo Cascio, Laura see Gori Nicolo-Amati, Laura et al., 2003h:41037Lubinsky, D. S. see Kubayi, D. G., 2003k:41042Lukka, Tuomas J. (with Kujala, Janne V.) Using genetic operators to speed up Markovchain Monte Carlo integration. (English summary) 2003h:65004

MacLeod, Allan J. The efficient computation of some generalised exponential integrals.(English summary) 2003j:33069

Marchenko, M. A. (withMikhaılov, G. A.) Parallel realization of statistical simulation andrandom number generators. (English summary) 2003e:65005

Mastroianni, Giuseppe (withMilovanovic, Gradimir V.) Weighted integration of periodicfunctions on the real line. (English summary) 2003c:65018

(with Occorsio, D.) Numerical approximation of weakly singular integrals on the halfline. (English summary) 2003h:41039

see also De Bonis, M. C. et al., 2003e:42019Matic, Marko (with Pearce, Charles E. M.; Pecaric, Josip E.) Two-point formulae of Eulertype. (English summary) 2003g:41049

Micula, G. The D. V. Ionescu’s contributions to the numerical solution of differential equa-tions, to modern numerical analysis and to spline functions theory. (see 2003f:01056)

Mikhaılov, G. A. seeMarchenko,M. A., 2003e:65005Milovanovic, Gradimir V. seeMastroianni, Giuseppe, 2003c:65018Mora Martınez, Gaspar see Benabidallah,A. et al.

Mori, Masatake see Ogata, Hidenori et al., (2003g:00024)Morohosi, Hozumi (with Fushimi, Masanori) Experimental studies of the error estimationof the numerical integration by generalized Niederreiter sequences. (Japanese) (see2003a:00039)

Nadir, M. Operateurs de Cauchy pour des fonctions affines par morceaux et basesd’ondelettes sur un intervalle. (English summary) [Cauchy operators for piecewise affinefunctions wavelet bases on an interval] 2003k:42062

Niederreiter, Harald Error bounds for quasi-Monte Carlo integration with uniform pointsets. (English summary) 2003k:65003

see also Numerical integration and its complexity

Ninomiya, Syoiti see Fujita, Takahiko et al., 2003c:65003 and (2003a:00039)Occorsio, D. seeMastroianni, Giuseppe, 2003h:41039Ogata, Hidenori (with Sugihara, Masaaki;Mori, Masatake) De-type quadrature formulaefor Cauchy principal-value integrals and for Hadamard finite-part integrals. (see2003g:00024)

Owen, Art B. see Lemieux, Christiane, (2003i:65006)Pages, Gilles see Fort, Jean-Claude,2003f:60034Paliı, Yu. G. Correction of numerical integration as an optimal control problem. (Russian.Russian summary) 2003m:65230

Parvanov, Parvan E. see Parvanova, Irena A., 2003b:41020Parvanova, Irena A. (with Parvanov, Parvan E.) Exact constants in estimations of the errorof the quadrature formulae of Simpson with the averagedmoduli of smoothness. (Englishsummary) 2003b:41020

Peachey, T. C. see Dragomir, Sever Silvestru, 2003h:41035Pearce, Charles E. M. seeMatic, Marko et al., 2003g:41049Pecaric, Josip E. seeMatic,Marko et al., 2003g:41049Petras, Knut Self-validating integration and approximation of piecewise analytic functions.(English summary) 2003f:65079

see also Numerical integration and its complexityPrice, T. E. Numerically exact integration of a family of axisymmetric finite elements.(English summary)

Rassias, Themistocles M. see Ostrowski type inequalities and applications in numerical

integration, 2003c:26002;Dragomir, Sever Silvestru, 2003c:26002; (2003c:26002) and(2003c:26002)

Safouhi, Hassan Efficient and rapid numerical evaluation of the two-electron, four-centerCoulomb integrals using nonlinear transformations and useful properties of sine andBessel functions. (English summary) 2003h:33025

Convergence properties of the SD transformation and a fast and accurate numericalevaluation of molecular integrals. (English summary) 2003k:81264

Santi, Elisabetta see Gori Nicolo-Amati, Laura et al., 2003h:41037Schmid, Hans Joachim see Cools, Ronald

Segura, Javier see Gil, Amparo et al., 2003g:33004Sinha, Rajen Kumar Finite element approximations with quadrature for second-orderhyperbolic equations. (English summary) 2003e:65180

Sloan, Ian H. QMC integration—beating intractability by weighting the coordinatedirections. (English summary) (see 2003i:65006)(withWozniakowski, Henryk) Tractability of integration in non-periodic and periodicweighted tensor product Hilbert spaces. (English summary) 2003e:46119

Sofo, Anthony Integral inequalities of the Ostrowski type. (English summary)2003d:26032bIntegral inequalities for n-times differentiablemappings, with multiple branches, on theLp norm. (English summary) 2003d:26032a

Spalevic,Miodrag M. Remainder term in Chakalov-Popoviciu quadratures of Radau andLobatto type and influence function. (English summary) 2003m:41049

Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type. (Englishsummary) 2003a:41031

Sugihara,Masaaki see Ogata, Hidenori et al., (2003g:00024)Sugimoto, Rie (with Bettess, Peter; Trevelyan, Jon) A numerical integration scheme forspecial quadrilateral finite elements for the Helmholtz equation. (English summary)

Syam, Muhammed I. Interpolation predictors over implicitly defined curves. (Englishsummary) 2003j:65053

Temme, Nico M. see Gil, Amparo et al., 2003g:33004Tezuka, Shu Quasi-Monte Carlo—discrepancy between theory and practice. (English


summary) (see 2003i:65006)Titaud,Olivier see Ahues, Mario, 2003g:65160Trevelyan, Jon see Sugimoto, Rie et al.

Tunaru, Radu see Vladimirescu, Ion, 2003b:41022Ujevic, Nenad Perturbations of an Ostrowski type inequality and applications. (Englishsummary) 2003m:26023

van der Vegt, J. J. W. see van der Ven, H., 2003m:76112

van der Ven, H. (with van der Vegt, J. J. W.) Space-time discontinuous Galerkin finiteelement method with dynamic grid motion for inviscid compressible flows. II. Efficientflux quadrature. (English summary) 2003m:76112

Vladimirescu, Ion (with Tunaru, Radu) A general approximating method of Riemannintegrals using the central limit theorem. (English summary) 2003b:41022

Wang, Chuan Rong see Chen, Ze Wen et al., 2003e:65248Wang, Xiaoqun1 (with Fang, Kai-Tai) The effective dimension and quasi-Monte Carlointegration. (English summary) 2003m:62016

Strong tractability of multivariate integration using quasi-Monte Carlo algorithms.(English summary) 2003m:65009

see also Hickernell, Fred J., 2003i:65009Wang, Yuan (with Hickernell, Fred J.) An historical overview of lattice point sets. (Englishsummary) (see 2003i:65006)

Wozniakowski, Henryk see Sloan, Ian H., 2003e:46119 and Numerical integration and its

complexityYaglom, Isaak Moiseevich see Landis, E. M., 2003c:01052Yun, Beong In see Kim, Philsu, 2003i:41038Zhu, Yu Can see Chen, Ze Wen et al., 2003e:65248


Bibliography:

Kronrod, Aleksandr Semenovich see Landis, E. M., 2003c:01052Biography:

Kronrod, Aleksandr Semenovich see Landis, E. M., 2003c:01052Numerical integration and its complexity Numerical integration and its complexity.Oberwolfach Numerical integration and its complexity.Ostrowski type inequalities and applications in numerical integration Ostrowski typeinequalities and applications in numerical integration. 2003c:26002

65D32 Quadrature and cubature formulas

Bailey, S. B. (with Cohen, Alan Max) The construction of some optimal 2D cubatureformulae. (English summary)

Barinka, Arne (with Barsch, Titus; Dahlke, Stephan; Mommer, Mario; Konik, Michael)Quadrature formulas for refinable functions and wavelets. II. Error analysis. (Englishsummary) 2003h:65024

Barsch, Titus see Barinka, Arne et al., 2003h:65024Bretti, Gabriella (with Ricci, Paolo Emilio) Euler polynomials and the related quadraturerule. (English summary) 2003d:65018

Cohen, Alan Max see Bailey, S. B.

Coman, Gheorghe On D. V. Ionescu’s practical numerical integration formulas. (see2003f:01056)

Dahlke, Stephan see Barinka, Arne et al., 2003h:65024Daruis, Leyla (with Gonzalez-Vera, Pablo;Marcellan, Francisco) Gaussian quadratureformulae on the unit circle. (English summary) 2003k:65022

Duran, Antonio J. (with Polo, Beatriz) Gaussian quadrature formulae for matrix weights.(English summary) 2003j:65018

Gonzalez-Vera, Pablo see Daruis, Leyla et al., 2003k:65022Konik,Michael see Barinka, Arne et al., 2003h:65024Luts, L. V. Optimal quadrature formulas for computing the integrals of rapidly oscillatingfunctions. (Russian. English, Russian and Ukrainian summaries) (see 2003b:00018)see also Zadıraka, V. K., (2003b:00018)

Marcellan, Francisco see Daruis, Leyla et al., 2003k:65022Mastroianni,Giuseppe (withMilovanovic, Gradimir V.) Weighted integration of periodicfunctions on the real line. (English summary) 2003c:65018

Matveeva, T. A. (with Ryabov, V. M.) Some properties of quadrature formulas for theLaplace transform numerical inversion. (English summary) 2003m:65032

McDowell, Eric L. A development of Simpson’s rule for the classroom. (English summary)Miginsky, S. V. New quadratures with local error estimation and two strategies ofsteplength control in calculation of definite integrals. (English summary)

Milovanovic, Gradimir V. (with Spalevic, Miodrag M.) Quadrature formulae connected to)-orthogonal polynomials. (English summary) 2003h:65025see alsoMastroianni,Giuseppe, 2003c:65018

Mommer, Mario see Barinka, Arne et al., 2003h:65024Notaris, Sotirios E. Positivity of the weights of interpolatory quadrature formulae withJacobi abscissae. (English summary) 2003e:65033

Pittaluga,Giovanna (with Sacripante, Laura) A numerical algorithm for cubature bybivariate splines on nonuniform partitions. (English summary) 2003b:65024

Polo, Beatriz see Duran, Antonio J., 2003j:65018Ponomarenko, A. K. Two invariant cubature formulas. (English summary) 2003a:65025

Ricci, Paolo Emilio see Bretti, Gabriella, 2003d:65018Ryabov, V. M. seeMatveeva, T. A., 2003m:65032Sacripante,Laura see Pittaluga, Giovanna, 2003b:65024Samokish, B. A. A quadrature formula with a Chebyshev weight of the second kind that isoptimal in H2. Justification of the asymptotics of the nodes. (Russian. Russian summary)2003a:65026

Spalevic,Miodrag M. seeMilovanovic, Gradimir V., 2003h:65025Zadıraka, V. K. (with Luts, L. V.) On the construction of optimal quadrature formulasfor the solution of a numerical integration problem. (Russian. English, Russian andUkrainian summaries) (see 2003b:00018)


Abilov, V. A. On the convergence of multiple Fourier series and quadrature formulae.

(English summary) 2003i:42008

(with Abilova, F. V.) On a quadrature formula. (Russian. Russian summary)2003h:41034

Abilova, F. V. see Abilov, V. A., 2003h:41034Beylkin, Gregory (withMonzon, L.) On generalized Gaussian quadratures for exponen-tials and their applications. (English summary) 2003f:41048

Blaga, Petru P. A general class of nonproduct quadrature formulas. (English summary)2003g:65026

Borodachev, S. V. On a comparison between “interval” quadrature formulas thatuse derivatives and simple “interval” formulas. (Russian. Russian summary) (see2003d:41002)

Boyanov, Borislav D. Cubature formulae for polyharmonic functions. (English summary)2003a:41029

Cerone, Pietro On perturbed trapezoidal and midpoint rules. (English summary)2003c:41039

Generalised trapezoidal rules with error involving bounds of the nth derivative. (Englishsummary) 2003e:41046

Multidimensional integration via trapezoidal and three point generators. (Englishsummary) 2003m:65025

Chen, Chih-Rung seeWang, Lih-Chung, 2003m:47024

Choi, U. Jin see Kim, Philsu, 2003m:65027Cools, Ronald (with Santos-Leon, J. C.) Cubature formulas of a nonalgebraic degree ofprecision. (English summary) 2003b:41017

see also Kim, Kyoung Joong et al., 2003j:65015Crothers, D. S. F. (withMcSherry, D. M.; O’Rourke, S. F. C.) A new generalized CDW-EIS model. (English summary)

Du, Jin Yuan (with Hu, Ji Cheng) On quadrature formulae of hypersingular integrals.(English summary) (see 2003g:00024)

Ehrich, Sven On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadratureformulas. (English summary) 2003g:65027

El-Mikkawy, Moawwad E. A. A unified approach to Newton-Cotes quadrature formulae.(English summary) 2003m:65026

Fischer, J.-W. Romberg quadrature using the Bulirsch sequence. (English summary)2003e:65031

Gautschi, Walter Computation of Bessel and Airy functions and of related Gaussianquadrature formulae. (English summary) 2003d:33010

Guessab, Allal On a new family of Gaussian quadrature formulae of Birkhoff type andsome lumped mass spectral approximations. II. Generalized Laguerre case on semi-infinite domains. (English summary) 2003k:65020

Hascelik, A. I. An algorithm for the exact numerical integration of a special class offunctions. (English summary) 2003f:65039

Hu, Ji Cheng see Du, Jin Yuan, (2003g:00024)Ixaru, L. Gr. see Kim, Kyoung Joong et al., 2003j:65015Khaetov, A. R. On an optimal quadrature formula. (Russian. English and Uzbeksummaries) 2003i:41037On a problem in the theory of quadrature formulas. (Russian. English and Uzbeksummaries) 2003h:41038

Kim, Kyoung Joong (with Cools, Ronald; Ixaru, L. Gr.) Quadrature rules using firstderivatives for oscillatory integrands. (English summary) 2003j:65015

Kim, Philsu (with Choi, U. Jin) Two trigonometric quadrature formulae for evaluatinghypersingular integrals. (English summary) 2003m:65027

Martinelli, Maria Renata Characteristic functions and s-orthogonality properties ofChebyshev polynomials of third and fourth kind. (English summary) 2003j:33030

McSherry, D. M. see Crothers, D. S. F. et al.

Monzon, L. see Beylkin, Gregory, 2003f:41048O’Rourke, S. F. C. see Crothers, D. S. F. et al.Rempel′, G. G. Representation of Lagrange polynomials by Chebyshev polynomials.A method for computing the nodes and weights of Gauss quadrature. Numericalintegration of functions near power singularities. (Russian) 2003g:65029

Santos-Leon, J. C. see Cools, Ronald, 2003b:41017Shi, Ying Guang An extremal approach to Birkhoff quadrature formulas. (Englishsummary) 2003a:41030

Spalevic,Miodrag M. Calculation of Chakalov-Popoviciuquadratures of Radau andLobatto type. (English summary) 2003a:41031

Szabo, Zoltan Istvan Interpolation and quadrature formulae for rational systems on theunit circle. (English summary) 2003h:41040

Vaskevich, V. L. Optimal cubature formulas in a reflexiveBanach space. (English summary)2003m:41050

Wang, Lih-Chung (with Chen, Chih-Rung) Generalized Tchakaloff’s theorem for semi-spectral measures. (English summary) 2003m:47024

Zinterhof, Peter High dimensional improper integration procedures. 2003g:65033

65D99 None of the above, but in this section

Ionescu, Dumitru V. La methode de la fonction ϕ en analyse numerique. [The ϕ-functionmethod in numerical analysis] (see 2003f:01056)


Dehnen, Walter A hierarchicalO(N ) force calculation algorithm. (English summary)2003c:85001

65E05 Numerical methods in complex analysis (potentialtheory, etc.) For numerical methods in conformalmapping, see 30C30.

Bomba, Andrıı Ya. (with Kashtan, Sergıı S.) Nonlinear inversions of boundary valueproblems on quasiconformal mappings in the modeling of the influence of the pressuregradient on the filtration process. (Ukrainian. English, Russian and Ukrainiansummaries) 2003m:65033

65F Numerical linear algebra1861 2003 65F05

Inoue, Tetsuo (with Kitasaka, Ikuyo) Numerical conformal mappings of unboundeddoubly connected domains. (English summary) 2003b:65025

Numerical conformal mappings of the domain whose outer boundary is a unit circle.(English summary) 2003m:65034

Kashtan, Sergıı S. see Bomba, Andrıı Ya., 2003m:65033

Kitasaka, Ikuyo see Inoue, Tetsuo, 2003b:65025Qi, Hong Yuan see Xu, Chen Xiao et al., 2003m:65035

Xu, Chen Xiao (with Zhu, Heng Jun; Qi, Hong Yuan) Analytically modeling ofcomplicated boundary simply connected region conformal mapping. (Chinese. Englishand Chinese summaries) 2003m:65035

Zhu,Heng Jun see Xu, Chen Xiao et al., 2003m:65035

Items with secondary classifications in 65E05Amano, Kaname (with Okano, Dai; Shimohira, Hiromi; Sugihara, Masaaki) Numericalconformal mapping by the charge simulation method and its application to potential flowanalysis. (see 2003g:00024)see also Ogata,Hidenori et al., 2003f:30009 and Okano, Dai, (2003g:00024)

Driscoll, Tobin A. (with Trefethen, Lloyd N.) Schwarz-Christoffel mapping. (Englishsummary) 2003e:30012

Maımeskul, V. V. (with Saff, Edward B.; Stylianopoulos, N. S.) L2-approximations ofpower and logarithmic functions with applications to numerical conformal mapping.(English summary) 2003d:30048

Marban, J. M. (with Palencia de Lara, C.) On the numerical recovery of a holomorphicmapping from a finite set of approximate values. (English summary) 2003e:30052

Ogata,Hidenori (with Okano, Dai; Amano, Kaname) Numerical conformal mapping ofperiodic structure domains. (English summary) 2003f:30009

Okano, Dai (with Amano, Kaname) An integral equation method of numerical conformalmapping onto parallel, circular and radial slit domains. (see 2003g:00024)see also Ogata,Hidenori et al., 2003f:30009 and Amano, Kaname et al., (2003g:00024)

Palencia de Lara, C. seeMarban, J. M., 2003e:30052Saff, Edward B. seeMaımeskul, V. V. et al., 2003d:30048Sakurai, Tetsuya (with Sugiura, Hiroshi) A method for numerical conformal mappings byusing Pade approximations. (Japanese. English and Japanese summaries) 2003j:30017

Sanikidze, J. (with Zivzivadze, L.) On singular integral approximation method innumerical conformal mappings. (Georgian summary)

Shimohira,Hiromi see Amano, Kaname et al., (2003g:00024)Stylianopoulos,N. S. seeMaımeskul, V. V. et al., 2003d:30048Sugihara,Masaaki see Amano, Kaname et al., (2003g:00024)Sugiura,Hiroshi see Sakurai, Tetsuya, 2003j:30017Trefethen, Lloyd N. see Driscoll, Tobin A., 2003e:30012Zakradze,M. On some aspects of the solution of practical problems by the method ofconformal mapping. (English summary)On one modified version of MFS for conformal mapping of infinite domain onto the unitdisk. (English and Georgian summaries) 2003m:30014

Zivzivadze,L. see Sanikidze, J.

65Fxx Numerical linear algebraBlackford, L. Susan (with et al.) An updated set of basic linear algebra subprograms(BLAS). 2003h:65026

Duff, Iain S. (with Heroux, Michael A.; Pozo, Roldan) An overview of the sparse basiclinear algebra subprograms: the new standard from the BLAS Technical Forum. (Englishsummary) 2003h:65027

(with Vomel, Christof) Algorithm 818: a reference model implementation of the sparseBLAS in Fortran 95. (English summary) 2003h:65028

Gustavson, F. G. High-performance linear algebra algorithms using new generalized datastructures for matrices. (English summary) 2003m:65036

Heroux, Michael A. see Duff, Iain S. et al., 2003h:65027Li, Xiaoye S. (with et al.) Design, implementation and testing of extended and mixedprecision BLAS. (English summary) 2003h:65029

Pozo, Roldan see Duff, Iain S. et al., 2003h:65027Vomel, Christof see Duff, Iain S., 2003h:65028

Items with secondary classifications in 65FxxBrezinski, Claude Computational aspects of linear control. (English summary)

2003j:93001(Lazarov, RaytchoD.) see Dedicated to the 60th birthday of Raytcho Lazarov

Serre, Denis Matrices. (English summary) 2003h:15001

(Vassilevski, Panayot S.) see Dedicated to the 60th birthday of Raytcho LazarovWatkins, David S. Fundamentals of matrix computations. (English summary)

2003a:65002


Dedicated to the 60th birthday of Raytcho Lazarov Dedicated to the 60th birthday ofRaytcho Lazarov.

Festschrift:Lazarov, RaytchoD. Dedicated to the 60th birthday of Raytcho Lazarov.

65F05 Direct methods for linear systems and matrix inversion

Amestoy, Patrick R. (with Duff, Iain S.; L’Excellent, Jean-Yves;Koster, Jacko) A fullyasynchronous multifrontal solver using distributed dynamic scheduling. (Englishsummary) 2003d:65019

Arbenz, Peter (with Drmac, Zlatko) On positive semidefinite matrices with known nullspace. (English summary) 2003g:65034

Azulay, David-Olivier (with Gambini, Ian) Which pivot to solve linear systems? (Englishsummary) 2003j:65019

Bai, Zhong Zhi see Liao, An Ping, 2003c:65021Bansal, S. S. (with Vishal, B.; Gupta, Phalguni) Near optimal Cholesky factorization onorthogonal multiprocessors. (English summary) 2003h:65030

Benner, Peter (with Quintana-Ortı, Enrique S.; Quintana-Ortı, Gregorio) Numericalsolution of discrete stable linear matrix equations on multicomputers. (English summary)2003f:65041

Bieniasz, L. K. Extension of the Thomas algorithm to a class of algebraic linear equationsystems involving quasi-block-tridiagonalmatrices with isolated block-pentadiagonalrows, assuming variable block dimensions. (English summary) 2003c:65019

Bodon, Elena On the block implicit LU algorithm for linear systems of equations. (Englishsummary) 2003c:65020

Borm, Steffen see Hackbusch,WolfgangBrainman, Igor (with Toledo, Sivan) Nested-dissection orderings for sparse LU withpartial pivoting. (English summary) (see 2003e:65003)(with Toledo, Sivan) Nested-dissection orderings for sparse LU with partial pivoting.(English summary) 2003f:65042

Chang, Xiao-Wen Some features of Gaussian elimination with rook pivoting. (Englishsummary) 2003e:65034

Chawla, M. M. (with Khazal, R. R.) A parallel elimination algorithm for banded linearsystems. (English summary) 2003e:65035

(with Evans, David John1) Arithmetic complexity of direct solvers for banded systems.(English summary)see also Khazal, R. R., 2003h:65032

Chen, Ke1 (with Lai, Choi-Hong) Parallel algorithms of the Purcell method for directsolution of linear systems. (English summary) 2003h:65031

Chen, Zhi1 (with Gao, Lu Duan) An algorithm for solving large-scale sparse groups oflinear equations. (Chinese. English and Chinese summaries)

Chung, Kuo-Liang (with Yan, Wen-Ming; Wu, Jung-Gen) Load-balanced paralleltridiagonal system solver. (English summary) 2003j:65020

Drmac, Zlatko see Arbenz, Peter, 2003g:65034Duff, Iain S. see Amestoy, Patrick R. et al., 2003d:65019Dumas, Jean-Guillaume (with Roch, Jean-Louis) On parallel block algorithms for exacttriangulations. (English summary)

Eıdel′man, Yu. S. (with Gohberg, Israel) A modification of the Dewilde-van der Veenmethod for inversion of finite structured matrices. (English summary) 2003j:65021

El-Mikkawy, Moawwad E. A. On solving linear systems of the Pascal type. (Englishsummary) 2003j:65022

Inversion of a generalizedVandermonde matrix. (English summary)Evans, David John1 see Chawla, M. M.Gambini, Ian seeAzulay, David-Olivier, 2003j:65019Gao, Lu Duan see Chen, Zhi1

Garey, L. E. see Nemani, S. S., 2003f:65045Gohberg, Israel see Eıdel′man, Yu. S., 2003j:65021Golub, Gene H. (with Yuan, Jin-Yun) Symmetric-triangular decomposition and itsapplications. I. Theorems and algorithms. (English summary) 2003k:65023

Gravvanis, George A. Solving symmetric arrow-type linear systems by explicit precondi-tioned schemes. (English summary) 2003j:65023

Gupta, Phalguni see Bansal, S. S. et al., 2003h:65030Hackbusch, Wolfgang (with Borm, Steffen) H 2-matrix approximation of integraloperators by interpolation. (English summary)

Heinig, Georg (with Rost, Karla) Fast algorithms for skewsymmetric Toeplitz matrices.(English summary) 2003j:65024

Hong, Sung Je see Lee, Heejo et al.Ishiwata, Emiko seeMuroya, Yoshiaki

Ivanov, Ivan Ganchev (with Todorov, Yu. D.) On the numerical solution of three speciallinear matrix equations. (English summary) (see 2003b:00022)see alsoMinchev, B. V., (2003b:00022)

Kaufman, Linda Band reduction algorithms revisited. (English summary) 2003f:65043

Khazal, R. R. Existence and stability of Choleski Q.I.F. for symmetric linear systems.(English summary) 2003f:65044

(with Chawla, M. M.) A parallel elimination algorithm for pentadiagonal linear systems.(English summary) 2003h:65032

see also Chawla, M. M., 2003e:65035Kim, Jong see Lee, Heejo et al.

Koster, Jacko see Amestoy, Patrick R. et al., 2003d:65019Koukouvinos,Christos (withMitrouli, Marilena; Seberry, Jennifer) An infinite family ofHadamard matrices with fourth last pivot n/2. (English summary) 2003b:65026

Lai, Choi-Hong see Chen, Ke1, 2003h:65031Lee, Heejo (with Kim, Jong; Hong, Sung Je; Lee, Sunggu) Task scheduling using a blockdependency DAG for block-oriented sparse Cholesky factorization. (English summary)

Lee, Sunggu see Lee, Heejo et al.

L’Excellent, Jean-Yves see Amestoy, Patrick R. et al., 2003d:65019Liao, An Ping (with Bai, Zhong Zhi) Bisymmetric least-squares solutions of the matrixequation ATXA=D. (Chinese. English summary) 2003c:65021

Minchev, B. V. (with Ivanov, Ivan Ganchev) On computer realization of algorithms forsolving special block linear systems. (English summary) (see 2003b:00022)

Mitrouli, Marilena see Koukouvinos,Christos et al., 2003b:65026Moravitz Martin, Carla D. (with Van Loan, Charles F.) Product triangular systems withshift. (English summary) 2003g:65035

Muroya, Yoshiaki (with Ishiwata, Emiko) Basic LUL factorization and improved iterativemethod with orderings. (English summary)

Nemani, S. S. (with Garey, L. E.) Parallel algorithms for solving tridiagonal and near-circulant systems. (English summary) 2003f:65045

Oishi, Shin’Ichi (with Rump, Siegfried M.) Fast verification of solutions of matrixequations. (English summary) 2003b:65027

Povitsky, Alex Parallel ADI solver based on processor scheduling. (English summary)2003k:65024

Quintana-Ortı, Enrique S. see Benner, Peter et al., 2003f:65041Quintana-Ortı,Gregorio see Benner, Peter et al., 2003f:65041Roch, Jean-Louis see Dumas, Jean-Guillaume

Rost, Karla see Heinig, Georg, 2003j:65024Rump, Siegfried M. seeOishi, Shin’Ichi, 2003b:65027Seberry, Jennifer see Koukouvinos,Christos et al., 2003b:65026

NUMERICAL ANALYSIS65F05 2003 1862

Tang, Xiao Wo see Zhang, Zhong Zhen

Todorov, Yu. D. see Ivanov, Ivan Ganchev, (2003b:00022)Toledo, Sivan see Brainman, Igor, 2003f:65042 and (2003e:65003)Tuma, Miroslav A note on the LDLT decomposition of matrices from saddle-pointproblems. (English summary) 2003g:65036

Van Loan, Charles F. seeMoravitz Martin, Carla D., 2003g:65035Vishal, B. see Bansal, S. S. et al., 2003h:65030Wang, Jian-min A method for evaluating inverse matrices of block r1-circulant matriceswith symmetric r2-circulant blocks. (Chinese. English and Chinese summaries)

Wu, Jung-Gen see Chung, Kuo-Liang et al., 2003j:65020Yan,Wen-Ming see Chung, Kuo-Liang et al., 2003j:65020Yuan, Jin-Yun see Golub, Gene H., 2003k:65023Zhang, Zhong Zhen (with Tang, Xiao Wo) A new algorithm for systems of linearinequalities. (Chinese. English and Chinese summaries)

Zhao, Shuangsuo An efficient implementation scheme of the simplified Newton iteration forblock systems of nonlinear equations. (English summary) 2003b:65028

Items with secondary classifications in 65F05

Abid, Namh Abdulla (with Al-Hashemy, Bakir Hassan) A parallel algorithm for blocktridiagonal linear systems. (English summary)

Al-Hashemy, Bakir Hassan seeAbid, Namh Abdulla

Amestoy, Patrick R. (with Duff, Iain S.; L’Excellent, Jean-Yves; Li, Xiaoye S.) Analysisand comparison of two general sparse solvers for distributed memory computers.(English summary)

Basilio, J. C. Inversion of polynomial matrices via state-space. (English summary)2003h:15007

Bollhofer, Matthias (with Saad, Youcef) On the relations between ILUs and factoredapproximate inverses. (English summary) 2003g:65038

Bukov, Valentin N. (with Ryabchenko, Vladimir N.; Kos′yanchuk, Vladislav V.; Zybin,Evgeniı Yu.) Solution of linear matrix equations by the canonization method. (Russian.English and Russian summaries)

Chung, Kuo-Liang (with Yan, Wen-Ming; Wu, Jung-Gen) Load-balanced parallel banded-system solvers. (English summary) 2003h:68014

Climent, Joan-Josep (with Tortosa, Leandro; Zamora, Antonio) A note on the recur-sive decoupling method for solving tridiagonal linear systems. (English summary)2003m:15010

Cruz Martinez, Enrique see Gonzalez, Hector Eduardo, 2003m:11209

Dai, Jian S. (with Rees Jones, John) Null-space construction using cofactors from a screw-algebra context. (English summary) 2003g:15007

Del Corso, Gianna M. (with Romani, Francesco) Heuristic spectral techniques forthe reduction of bandwidth and work-bound of sparse matrices. (English summary)2003e:65068

De Roeck, Yann-Herve Sparse linear algebra and geophysical migration: a review of directand iterativemethods. (English summary) 2003f:86010

Duff, Iain S. see Amestoy, Patrick R. et al.

Evtushenko, Yu. G. see Golikov, A. I., 2003e:90048

Forsgren, Anders Inertia-controlling factorizations for optimization algorithms. (Englishsummary) 2003i:90120

Gasso, M. (with Torregrosa Sanchez, Juan Ramon) A PLU -factorization of rectangularmatrices by the Neville elimination. (English summary) 2003i:15014

George, Alan (with Ikramov, Khakim D.; Kucherov, A. B.) On the growth factor inGaussian elimination for generalized Highammatrices. (English summary) 2003a:65037

Gilbert, John Russell (with Li, Xiaoye S.; Ng, E. G.; Peyton, B. W.) Computing row andcolumn counts for sparse QR and LU factorization. (English summary) 2003h:65061

Golikov, A. I. (with Evtushenko, Yu. G.) A new method for solving systems of linearequalities and inequalities. (Russian) 2003e:90048

Gonzalez,Hector Eduardo (with Cruz Martinez, Enrique) A parallel code for solvinglinear system equations with multimodular algebra. (English and Spanish summaries)2003m:11209

Hendrickx, Jef (with Van Barel, Marc) A Kronecker product variant of the FACR methodfor solving the generalized Poisson equation. (English summary) 2003i:65100

Hu, Yi Fan (with Scott, Jennifer A.) A multilevel algorithm for wavefront reduction.(English summary) 2003c:65034

Ikramov, Khakim D. see George, Alan et al., 2003a:65037Ivanov, Ivan Ganchev (with Todorov, Yu. D.) Some methods for solving special circulantsystems of linear equations. (English summary) 2003e:15006

Kolev, Lubomir V. Outer solution of linear systems whose elements are affine functions ofinterval parameters. (English summary) 2003m:65069

Kos′yanchuk,Vladislav V. see Bukov, Valentin N. et al.

Kucherov, A. B. see George, Alan et al., 2003a:65037L’Excellent, Jean-Yves see Amestoy, Patrick R. et al.

Li, Guang Qin A new algorithm for finding inverse matrices of r-circulantmatrices.(Chinese. English and Chinese summaries)

Li, Xiaoye S. see Gilbert, John Russell et al., 2003h:65061 and Amestoy, Patrick R. et al.

Liu, Shi Ping2 Multiple Schubert’s updating matrix and its compact representation.(English summary) 2003m:65065

Martikainen, Janne (with Rossi, Tuomo; Toivanen, Jari) A fast direct solver for ellipticproblems with a divergence constraint. (English summary) 2003k:65138

Mayer, Jan An approach to overcome division by zero in the interval Gauss algorithm.(English summary) 2003c:65037

Ng, E. G. see Gilbert, John Russell et al., 2003h:65061Pavlov, Velisar Stability of a parallel partioning algorithm for special classes of bandedlinear systems. (English summary) (see 2003e:65003)

Peyton, B. W. see Gilbert, John Russell et al., 2003h:65061Rees Jones, John see Dai, Jian S., 2003g:15007

Romani, Francesco see Del Corso, Gianna M., 2003e:65068Rossi, Tuomo seeMartikainen, Janne et al., 2003k:65138Ryabchenko,Vladimir N. see Bukov, Valentin N. et al.

Saad, Youcef see Bollhofer, Matthias, 2003g:65038

Schafer, Uwe2 Two ways to extend the Cholesky decomposition to block matrices withinterval entries. (English summary) 2003b:65047

Scott, Jennifer A. see Hu, Yi Fan, 2003c:65034Simon, Horst seeZhang, Zhen Yue et al., 2003e:65071Todorov, Yu. D. see Ivanov, Ivan Ganchev, 2003e:15006Toivanen, Jari seeMartikainen, Janne et al., 2003k:65138Torregrosa Sanchez, Juan Ramon see Gasso, M., 2003i:15014Tortosa, Leandro seeCliment, Joan-Josep et al., 2003m:15010

Tuniev, Albert Generalized transformation of Gauss and Gram-Schmidt, and firstapplications. (English summary) 2003a:90028

Van Barel, Marc see Hendrickx, Jef, 2003i:65100Wu, Jung-Gen see Chung, Kuo-Liang et al., 2003h:68014Yan, Wen-Ming see Chung, Kuo-Liang et al., 2003h:68014Zamora, Antonio see Climent, Joan-Josep et al., 2003m:15010

Zha, Hongyuan see Zhang, Zhen Yue et al., 2003e:65071Zhang, Ying (with Zheng, Hui Rao) A modified Schur algorithm for positive definiteToeplitz matrices. (Chinese. English and Chinese summaries)

Zhang, Zhen Yue (with Zha, Hongyuan; Simon, Horst) Low-rank approximations withsparse factors. I. Basic algorithms and error analysis. (English summary) 2003e:65071

Zheng, Hui Rao see Zhang, Ying

Zybin, Evgeniı Yu. see Bukov, Valentin N. et al.

65F10 Iterative methods for linear systems [see also 65N22]

Abe, Kuniyoshi (with Zhang, Shao Liang) Variable preconditioning for Krylov subspacesolution methods based on residue minimality. (Japanese)

Abrashin, V. N. (with Ciegis, Raimondas; Pakeniene, Violeta; Zhadaeva, N. G.) Stabilityanalysis of Seidel type multicomponent iterativemethod. (English and Lithuaniansummaries) 2003f:65046

Achdou, Yves (with Nataf, Frederic) Iterated frequency filtering preconditioners. (Englishsummary) (see 2003k:65167)

Adams, Mark F. (with Brezina, Marian; Hu, Jonathan; Tuminaro, Ray) Parallel multigridsmoothing: polynomial versus Gauss-Seidel. (English summary)

Al-Kurdi, Ahmad (withMittal, R. C.; Kincaid, David R.) Performance of variouspreconditioned GCR(k) algorithms applied to sparse nonsymmetric linear systems.(English summary)

Arroyo, Fangjun see Li, Xiezhang, 2003e:65044Axelsson, Owe (with Farago, Istvan; Karatson, Janos) Sobolev space preconditioning forNewton’s method using domain decomposition. (English summary) 2003j:65025see also Preconditioned robust iterative solution methods

Bahi, J. M. see Spiteri, Pierre et al., 2003h:65043Bank, Randolph E. (with Jimack, Peter K.; Nadeem, Sarfraz A.; Nepomnyashchikh, SergeıV.) A weakly overlapping domain decomposition preconditioner for the finite elementsolution of elliptic partial differential equations. (English summary) 2003f:65047

Bauer, Andrew C. (with Sanjanwala, Swapan; Patra, Abani K.) Portable efficient solversfor adaptive finite element simulations of elastostatistics in two and three dimensions.(English summary) (see 2003k:65167)

Beckermann, Bernhard (with Kuijlaars, Arno B. J.) Superlinear CG convergence for specialright-hand sides. (English summary) 2003k:65025

Belokon, T. V. see Krukier, L. A. et al., 2003d:65024Benzi, Michele (with Tuma, Miroslav) A parallel solver for large-scale Markov chains.(English summary) 2003f:65048

Preconditioning techniques for large linear systems: a survey. (English summary)2003j:65026

Bertaccini, Daniele (with Ng, Michael K.) Skew-circulant preconditioners for systems ofLMF-based ODE codes. (English summary) (see 2003e:65003)The spectrum of circulant-like preconditioners for some general linear multistep formulasfor linear boundary value problems. (English summary) 2003m:65037

Bhuruth, Muddun (with Jain, Mahinder Kumar; Gopaul, Ashvin) Preconditioned iterativemethods for the nine-point approximation to the convection-diffusion equation. (Englishsummary) 2003a:65027see also Gopaul, Ashvin, 2003d:65021

Bollhofer, Matthias (with Saad, Youcef) A factored approximate inverse preconditionerwith pivoting. (English summary) 2003e:65036

(withMehrmann, Volker) Algebraic multilevelmethods and sparse approximateinverses. (English summary) 2003g:65037

(with Saad, Youcef) On the relations between ILUs and factored approximate inverses.(English summary) 2003g:65038

Bomhof, ChristiaanWillem (with van der Vorst, Henk A.) A parallelizableGMRES-typemethod for p-cyclic matrices, with applications in circuit simulation. (English summary)2003m:65038

Brezina, Marian see Adams, Mark F. et al.

Brezinski, Claude (with Redivo Zaglia, M.; Sadok, H.) A review of formal orthogonality inLanczos-based methods. (English summary)Block descent methods and hybrid procedures for linear systems. (English summary)2003c:65022

(with Redivo Zaglia, M.) Block projection methods for linear systems. (Englishsummary) 2003g:65039

Broker, Oliver (with Grote, Marcus J.; Mayer, Carsten; Reusken, Arnold) Robustparallel smoothing for multigrid via sparse approximate inverses. (English summary)2003c:65023

(with Grote, Marcus J.) Sparse approximate inverse smoothers for geometric andalgebraicmultigrid. (English summary)

Bukhnikashvili, I. On an approximate solution of one particular problem for theRichardson iterations.


Bychenkov, Yu. V. Optimization of preconditioned matrices for saddle problems. (Russian)Optimization of one class of nonsymmetrizable algorithms for saddle point problems.(English summary) 2003m:65039


Cai, Xiao-Chuan (with Zou, Jun) Some observations on the l2 convergence of the additiveSchwarz preconditioned GMRES method. (English summary) 2003f:65049

Calvetti, Daniela (with Lewis, Bryan; Reichel, Lothar) GMRES, L-curves, and discrete ill-posed problems. (English summary) 2003e:65037

(with Lewis, Bryan; Reichel, Lothar) On the regularizing properties of the GMRESmethod. (English summary) 2003f:65050

Cao, Weiming (with Guo, Benqi) A preconditioner with inexact element face solver forthree dimensional p-version finite element methods. (English summary) 2003c:65024

Cao, Zhi-Hao Convergence of block two-stage iterativemethods for symmetric positivedefinite systems. (English summary) 2003a:65029

(withWang, Yang) On validity of m-step multisplitting preconditioners for linearsystems. (English summary) 2003a:65030

On the convergence of iterativemethods for solving singular linear systems. (Englishsummary) 2003f:65051

(withWang, Mei) A note on Krylov subspace methods for singular systems. (Englishsummary) 2003c:65025

A note on constraint preconditioning for nonsymmetric indefinite matrices. (Englishsummary) 2003f:65052

Cerdan, J. (withMarın, Jose; Martinez, Angeles) Polynomial preconditioners based onfactorized sparse approximate inverses. (English summary) 2003h:65033

Chaitin-Chatelin, Francoise (with Traviesas, Elisabeth; Plantie, Laurent) UnderstandingKrylov methods in finite precision. (English summary) (see 2003e:65003)

Chan, Raymond H. (with Ng, Michael K.; Yip, Andy M.) The best circulant precondi-tioners for Hermitian Toeplitz systems. II. The multiple-zero case. (English summary)2003e:65038

Chan, Tony F. (with Chen, Ke1) On two variants of an algebraic wavelet preconditioner.(English summary) 2003f:65053

Chang, Da-Wei On convergence of the parallel Schwarz algorithm with pseudo-boundaryand the parallel multisplitting iterativemethod. (see 2003f:65005)The convergence conditions of the PSD iterativemethod for linear systems. (Englishsummary) 2003f:65054

Chawla, M. M. (with Khazal, R. R.) A new WZ factorization for parallel solution oftridiagonal systems. (English summary)

Chen,Heng Xin Study of the AOR iterativemethod. (Chinese. English and Chinesesummaries) 2003i:65028

Chen, Jen-Yuan see Kincaid, David R. et al., (2003e:65003)Chen, Ke1 see Chan, Tony F., 2003f:65053 and Ford, Judith M. et al.

Cheng, Xiao Liang (with Zou, Jun) An inexactUzawa-type iterativemethod for solvingsaddle point problems. (English summary) 2003m:65040

Cheng, Yi Ming (withWang,Wei; Kang, Zu Zhi) A minimal residual polynomial methodfor unsymmetric systems. (Chinese. English and Chinese summaries)

Cheung,WilliamM. (with Ng, Michael K.) Block-circulant preconditioners for systemsarising from discretization of the three-dimensional convection-diffusion equation.(English summary) 2003h:65034

Chikina, L. G. see Krukier, L. A. et al., 2003d:65024Chizhonkov,E. V. On a generalized relaxationmethod for solving linear problems with asaddle operator. (Russian. English and Russian summaries) 2003e:65039

On a solution of a Stokes-type algebraic system under block-diagonal preconditioning.(Russian. Russian summary) 2003h:65035

On the acceleration of convergence of the Lanczos method in the solution of algebraicsystems with a saddle point. (Russian. Russian summary) 2003i:65029

Ciegis, Raimondas see Abrashin, V. N. et al., 2003f:65046Cvetkovic, Ljiljana Some convergence conditions for a class of parallel decomposition-typelinear relaxationmethods. (English summary)

Dean, Edward J. (with Glowinski, Roland; Lions, Jacques-Louis) An operator splittingapproach to multilevelmethods. (English summary) 2003g:65040

Demetriou, I. C. (with Evans, David John1) Adaptive preconditioned variational methodsfor solving self-adjoint partial differential equations. (English summary)

Di Benedetto, Fabio (with Serra Capizzano, Stefano) A note on the superoptimal matrixalgebra operators. (English summary) 2003i:65030

Dryja, Maksymilian see Klawonn, Axel et al., 2003g:65044Dufour, E. see Vuik, C. et al., 2003e:65052Echebest, N. see Scolnik,H. et al., 2003f:65059El Baz, Didier see Spiteri, Pierre et al., 2003h:65042El Guennouni, A. (with Jbilou, K.; Riquet, A. J.) Block Krylov subspace methods forsolving large Sylvester equations. (English summary) 2003f:65055

Elman, Howard C. Preconditioners for saddle point problems arising in computational fluiddynamics. (English summary)

Elsner, Ludwig see Li, Wen1 et al., 2003d:65026Eremin, A. Yu. (with Nikishin, A. A.) Factorized sparse approximate inverse precondition-ing of linear systems with nonsymmetric matrices. (Russian. English and Russian sum-maries) 2003g:65041

Evans, David John1 (with Popa, Constantin) Projections and preconditioning forinconsistent least-squares problems. (English summary) 2003e:65040(with Fan, Yong; Jiang, Tianzi) On the accelerated Richardson method (ARM) forsolving positive definite linear systems. (English summary)see also Li, Changjun1 et al., 2003c:65028; 2003d:65025;Martins, M. Madalena et al.,2003e:65045;Ford, Judith M. et al. and Demetriou, I. C.

Facius, Axel Highly accurate verified error bounds for Krylov type linear system solvers.(English summary)

Fan, Yong see Evans, David John1 et al.

Farago, Istvan (with Kovacs, Mihaly) Stochastic regular splitting and its application to theiterativemethods. (English summary) 2003a:65031

Proper weak regular splitting forM -matrices. (English summary) (see 2003e:65003)see also Axelsson, Owe et al., 2003j:65025

Favati, P. (with Lotti, G.; Menchi, O.) A polynomial fit preconditioner for band Toeplitzmatrices in image reconstruction. (English summary) 2003d:65020

Finogenov, S. A. see Lebedev, V. I., 2003j:65029Ford, Judith M. (with Chen, Ke1; Evans, David John1) On a recursive Schur precondi-tioner for iterative solution of a class of dense matrix problems. (English summary)

Fujino, Seiji GPBiCG(m, l): a hybrid of BiCGSTAB and GPBiCG methods with efficiencyand robustness. (English summary)(withMiura, Kenichi) An effective guideline for BiCGSTAB(l) method. (Japanese)

Fullenbach,T. (with Stuben, K.) Algebraic multigrid for selected PDE systems. (Englishsummary) 2003j:65027

Galba, E. F. seeMolchanov, I. N., (2003e:00027)Glowinski, Roland see Dean, Edward J. et al., 2003g:65040Gopaul, Ashvin (with Bhuruth, Muddun) Analysis of algebraic systems arising fromfourth-order compact discretizations of convection-diffusion equations. (Englishsummary) 2003d:65021

see also Bhuruth,Muddun et al., 2003a:65027Graves-Morris, P. R. The breakdowns of BiCGStab. (English summary) 2003c:65026see also Salam, Ahmed, 2003e:65050

Gravvanis, George A. The convergence rate and complexity of explicit preconditionedconjugate gradient methods based on approximate inverse banded matrix techniques.(English summary) 2003c:65027

Explicit preconditioned domain decomposition schemes. (English summary)2003g:65042

Solving special type matrices by explicit approximate inverse preconditioning. (Englishsummary) 2003f:65056

Grote, Marcus J. see Broker, Oliver et al., 2003c:65023Gu, Gui-Ding A seed method for solving nonsymmetric linear systems with multiple right-hand sides. (English summary) 2003g:65043(with Zhang, Jian Jun; Li, Zhanwen) Restarted GMRES augmented with eigenvectorsfor shifted linear systems. (English summary)

Gu, Tongxiang Estimates of convergence rate of parallel multisplitting iterativemethodswith their applications. (see 2003f:65005)

Guardarucci, M. T. see Scolnik, H. et al., 2003f:65059Guo, Benqi see Cao, Weiming, 2003c:65024Gutknecht,Martin H. (with Rozloznık, Miroslav) A framework for generalized conjugategradient methods—with special emphasis on contributions by Rudiger Weiss. (Englishsummary)see also Rollin, Stefan, 2003g:65046

Haase, Gundolf (with Langer, Ulrich1; Reitzinger, Stefan; Schoberl, Joachim) Algebraicmultigrid methods based on element preconditioning. (English summary) 2003d:65022

Hafner, Hartmut seeWeiss, Rudiger et al., 2003a:65034Hakopian, Yu. R. Algebraic multilevel preconditioners for third order finite elementapproximation. (English summary) 2003e:65041

Han, Yu Du see Yun, Jae Heon, 2003g:65047Harada, Kyouji see Kotakemori, Hisashi et al., 2003k:65028Hayami, Ken On the convergence of GCR(k) methods for singular systems. (Japanese)Hebermehl, G. see Schlundt,R. et al., (2003f:78001)Heinrich, Wolfgang see Schlundt,R. et al., (2003f:78001)Henson, Van Emden (withMeier Yang, Ulrike) BoomerAMG: a parallel algebraicmultigrid solver and preconditioner. (English summary)

Hertono, G. see Burrage, Kevin et al., 2003a:65028Hirano, Hiroyuki (with Niki, Hiroshi; Okamoto, Naotaka) Application of preconditioningiterativemethods to the numerical calculation with a boundary-fitted coordinate system.(English summary)(with Niki, Hiroshi; Okamoto, Naotaka) An application of a preconditioning iterativemethod to a three-dimensional numerical computation of fluid flow. (English summary)

Honma, Chieko (with Saleem,Mohammad2) Approximate inverse preconditioners for theconjugate gradient method. (English summary) 2003b:65029

Hou, Shui Hung (with Pang, Wan Kai) Inversion of confluent Vandermonde matrices.(English summary) 2003b:65030

Hu, Jonathan see Adams, Mark F. et al.

Hu, Qi Ya (with Liang, Guo Ping) Acceleration of the non-symmetrized two-leveliteration. (English summary) 2003e:65042

Hubner, F.-K. see Schlundt,R. et al., (2003f:78001)Huckle, Thomas (with Staudacher, Jochen) Matrix multilevel methods and precondition-ing. (English summary) 2003h:65036

Ibraghimov, Ilghiz Application of the three-way decomposition for matrix compression.(English summary) 2003j:65028

Jackiewicz, Z. see Burrage, Kevin et al., 2003a:65028Jain, Mahinder Kumar see Bhuruth,Muddun et al., 2003a:65027Jbilou, K. see El Guennouni, A. et al., 2003f:65055Jiang, Tianzi see Evans, David John1 et al.

Jimack, Peter K. see Bank, RandolphE. et al., 2003f:65047Juncu, Gh. (with Popa, Constantin) Preconditioning by Gram matrix approximationfor diffusion-convection-reaction equations with discontinuous coefficients. (Englishsummary) 2003h:65037

Kang, Zu Zhi see Cheng, Yi Ming et al.

Kaporin, Igor E. (with Kon′shin, I. N.) Parallel solution of symmetric positive-definitesystems on the basis of overlapping decomposition into blocks. (Russian. Russiansummary) 2003k:65026(with Kon′shin, I. N.) A parallel block overlap preconditioning with inexact submatrixinversion for linear elasticity problems. (English summary) 2003a:65032Using the modified 2nd order incomplete Cholesky decomposition as the conjugategradient preconditioning. (English summary) 2003i:65031

Karaa, S. (with Zhang, Jun2) A note on convergence of line iterativemethods for a nine-point matrix. (English summary) 2003b:65031

Karatson, Janos see Axelsson, Owe et al., 2003j:65025Kay, David (with Loghin, Daniel; Wathen, Andrew J.) A preconditioner for the steady-state Navier-Stokes equations. (English summary) 2003h:65038

Khazal, R. R. see Chawla, M. M.Kincaid, David R. (with Chen, Jen-Yuan; Young, David M.) A generalized GMRESiterativemethod. (English summary) (see 2003e:65003)(with Young, DavidM.; Chen, Jen-Yuan) Variations of the GMRES iterativemethod.(English summary)see also Al-Kurdi, Ahmad et al.


Klawonn, Axel (withWidlund, Olof B.; Dryja, Maksymilian) Dual-primal FETI methodsfor three-dimensional elliptic problems with heterogeneous coefficients. (Englishsummary) 2003g:65044

Kohaupt,Ludwig Error estimate for the Jacobi method adapted to the weak row sum resp.weak column sum criterion. 2003b:65032

Kolev, Tzanio (withMargenov, Svetozar) AMLI preconditioning of pure displacementnon-conforming elasticity FEM systems. (English summary) (see 2003e:65003)

Kondrat′ev,A. V. Acceleration of methods for solving systems of linear equations. (Russian.English summary) 2003d:65023

Konovalov, A. N. On the theory of the alternate-triangle iteration method. (Russian.Russian summary) 2003f:65057

Kon′shin, I. N. see Kaporin, Igor E., 2003a:65032 and 2003k:65026

Koschinski, Claus New methods for adapting and for approximating inverses as precondi-tioners. (English summary) 2003k:65027

Kotakemori, Hisashi (with Harada, Kyouji; Morimoto, Munenori; Niki, Hiroshi) Acomparison theorem for the iterativemethod with the preconditioner (I + Smax).(English summary) 2003k:65028

Kovacs,Mihaly see Farago, Istvan, 2003a:65031Kraus, J. K. An algebraic preconditioning method forM -matrices: linear versus non-linearmultilevel iteration. (English summary) 2003k:65029

Krukier, L. A. (with Chikina, L. G.; Belokon, T. V.) Triangular skew-symmetric iterativesolvers for strongly nonsymmetric positive real linear system of equations. (Englishsummary) 2003d:65024

Kuijlaars, Arno B. J. see Beckermann, Bernhard, 2003k:65025Langer, Ulrich1 see Haase, Gundolf et al., 2003d:65022Lapin, A. V. Geometric convergence of iterativemethods for a problem withM -matricesand diagonal multivalued operators. (English summary) 2003e:65043

Lebedev, V. I. (with Finogenov, S. A.) On construction of the stable permutations ofparameters for the Chebyshev iterativemethods. I. (English summary) 2003j:65029

Leblond,Michel H -self-adjoint matrices. Application to radiosity. (English summary)2003b:65033

Lewis, Bryan see Calvetti, Daniela et al., 2003e:65037 and 2003f:65050Li, Changjun1 (with Liang, Xiao Li; Evans, David John1) An iterativemethod for thepositive real linear system. (English summary) 2003c:65028(with Evans, David John1) Preconditioned conjugate gradient method and generalizedsuccessive overrelaxationmethod for the least squares problems. (English summary)2003d:65025(with Evans, David John1) Note to the mixed-type splitting iterativemethod for thepositive real linear system. (English summary)

Li, Ji-cheng see Li, Yao Tang et al.

Li, Wen1 (with Elsner, Ludwig; Lu, Lin Zhang) Comparisons of spectral radii and thetheorem of Stein-Rosenberg. (English summary) 2003d:65026

The monotonicity of convergence rate for MGS methods. (English summary)2003m:65041

Li, Xiao Mei seeWu, Jian Ping2

Li, Xiezhang (with Arroyo, Fangjun) The convergence rate of the Chebyshev semiiterativemethod under a perturbation of the foci of an elliptic domain. (English summary)2003e:65044

see alsoWei, Yi-Min et al., 2003j:65033Li, Yao Tang (with Li, Ji-cheng; Liu, Qing Bing) A new type of preconditioned iterativemethods for Z-matrices. (English and Chinese summaries)

Li, Zhanwen see Gu, Gui-Ding et al.

Liang, Guo Ping see Hu, Qi Ya, 2003e:65042Liang, Xiao Li see Li, Changjun1 et al., 2003c:65028Liesen, J. (with Rozloznık, Miroslav; Strakos, Zdenek) Least squares residuals andminimal residual methods. (English summary) 2003a:65033

Lions, Jacques-Louis see Dean, Edward J. et al., 2003g:65040Liu, Qing Bing see Li, Yao Tang et al.

Liu, Zhongyun Convergence of generalized relaxedmultisplitting methods for symmetricpositive definite matrices. (English summary) 2003k:65030

Loghin, Daniel seeKay, David et al., 2003h:65038Lopez Estrada, Jesus (withMadrid de la Vega,Humberto; Montalvo Urquizo, Jonathan)The geometric origin of the conjugate gradient method. (Spanish. Spanish summary)2003j:65030

Lotti, G. see Favati, P. et al., 2003d:65020Lu, Lin Zhang see Li, Wen1 et al., 2003d:65026Lyche, Tom (with Nilssen, Trygve K.; Winther, Ragnar) Preconditioned iterativemethodsfor scattered data interpolation. (English summary) 2003h:65039

Madrid de la Vega, Humberto see Lopez Estrada, Jesus et al., 2003j:65030Marek, Ivo (with Szyld, Daniel B.) Comparison of convergence of general stationaryiterativemethods for singular matrices. (English summary) 2003k:65031

Margenov, Svetozar see Kolev, Tzanio, (2003e:65003)Marın, Jose see Cerdan, J. et al., 2003h:65033Martinez,Angeles see Cerdan, J. et al., 2003h:65033Martins,M. Madalena (with Evans, David John1; Yousif, W.) Further results on thepreconditioned SOR method. (English summary) 2003e:65045

Mayer, Carsten see Broker, Oliver et al., 2003c:65023Mehrmann, Volker see Bollhofer, Matthias, 2003g:65037Meier Yang, Ulrike see Henson, Van Emden

Meister, Andreas2 (withWitzel, Jurgen) Krylov subspace methods in computational fluiddynamics. (English summary)

Menchi, O. see Favati, P. et al., 2003d:65020Meurant, Gerard A multilevel AINV preconditioner. (English summary) 2003e:65046

Miellou, Jean-Claude (with Spiteri, Pierre) Optimization of the relaxation parameter forS.S.O.R. and A.D.I. preconditioning. (English summary) 2003c:65029

see also Spiteri, Pierre et al., 2003h:65042 and 2003h:65043

Mihajlovic,M. D. (withMijalkovic, S.) A component decomposition preconditioning for3D stress analysis problems. (English summary) 2003k:65032

Mijalkovic, S. seeMihajlovic, M. D., 2003k:65032Mittal, R. C. seeAl-Kurdi, Ahmad et al.

Miura, Kenichi see Fujino, Seiji

Molchanov, I. N. (with Galba, E. F.) Iterativemethods for solving least squares problemswith constraints. (Russian. Russian summary) (see 2003e:00027)

Molina, Brıgida (with Raydan, Marcos) Spectral variants of Krylov subspace methods.(English summary) 2003e:65047

Montalvo Urquizo, Jonathan see Lopez Estrada, Jesus et al., 2003j:65030Morgan, Ronald B. GMRES with deflated restarting. (English summary) 2003h:65040

Morimoto, Munenori see Kotakemori, Hisashi et al., 2003k:65028Moriya, Kentaro (with Nodera, Takashi) GMRES(m) method avoiding the stagnationof convergence of the residual norm in adaptation. (Japanese. English and Japanesesummaries) 2003f:65058

Nadeem, Sarfraz A. see Bank, RandolphE. et al., 2003f:65047Nakata, Kazuhide Preprocessing of the Krylov subspace method for solving large scalelinear equations. (Japanese)

Nataf, Frederic see Achdou,Yves, (2003k:65167)Nepomnyashchikh,Sergeı V. see Bank, RandolphE. et al., 2003f:65047Ng, Michael K. see Chan, Raymond H. et al., 2003e:65038;Cheung, William M.,

2003h:65034 and Bertaccini, Daniele, (2003e:65003)Niki, Hiroshi see Kotakemori, Hisashi et al., 2003k:65028 and Hirano, Hiroyuki et al.Nikishin, A. A. see Eremin, A. Yu., 2003g:65041Nilssen, Trygve K. see Lyche, Tom et al., 2003h:65039Nodera, Takashi seeMoriya, Kentaro, 2003f:65058Nordtvedt, J.-E. see Subbey, Sam, 2003h:65044Notay, Y. Robust parameter-free algebraicmultilevel preconditioning. (English summary)

2003h:65041

Noutsos, D. (with Vassalos, P.) New band Toeplitz preconditioners for ill-conditionedsymmetric positive definite Toeplitz systems. (English summary) 2003d:65027

Okamoto, Naotaka see Hirano, Hiroyuki et al.

Paige, ChristopherC. (with Strakos, Zdenek) Residual and backward error bounds inminimum residual Krylov subspace methods. (English summary) 2003g:65045

Pakeniene, Violeta see Abrashin, V. N. et al., 2003f:65046Pang, Wan Kai see Hou, Shui Hung, 2003b:65030Patra, Abani K. see Bauer, Andrew C. et al., (2003k:65167)Pennacchio,Micol (with Simoncini, Valeria) Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process. (English summary) 2003e:65048

Peradze, D. G. Iteration process for the Kirchhoff string. (English summary)Perotti, F. see Simoncini, Valeria, 2003k:65033Petcu, Dana On the speedup of parallel iterative numerical methods. (English summary)(see 2003c:68005)

Plantie, Laurent see Chaitin-Chatelin, Francoise et al., (2003e:65003)Podgajezki, Isabella seeWeiss, Rudiger et al., 2003a:65034Pop, Nicolae A preconditioning method of ill conditioned matrices using wavelet bases.(English summary)

Popa, Constantin see Evans, David John1, 2003e:65040and Juncu, Gh., 2003h:65037Pu, Le see Zheng, Zhou Shun

Raydan,Marcos seeMolina, Brıgida, 2003e:65047Redivo Zaglia, M. see Brezinski, Claude et al., 2003g:65039Reichel, Lothar see Calvetti, Daniela et al., 2003e:65037and 2003f:65050Reitzinger, Stefan (with Schreiber, Ute; van Rienen, Ursula) Algebraic multigrid forcomplex symmetric matrices and applications. (English summary)see also Haase, Gundolf et al., 2003d:65022

Reusken, Arnold see Broker, Oliver et al., 2003c:65023van Rienen, Ursula see Reitzinger, Stefan et al.

Riquet, A. J. see El Guennouni,A. et al., 2003f:65055Robbe, Mickael (with Sadkane, Miloud) A convergence analysis of GMRES and FOMmethods for Sylvester equations. (English summary) 2003e:65049

Roberts, D. E. The vector epsilon algorithm—a residual approach. (English summary)2003c:65030

Rollin, Stefan (with Gutknecht, Martin H.) Variations of Zhang’s Lanczos-type productmethod. (English summary) 2003g:65046

Rozloznık,Miroslav (with Simoncini, Valeria) Krylov subspace methods for saddle pointproblems with indefinite preconditioning. (English summary) 2003m:65042

see also Liesen, J. et al., 2003a:65033 and Gutknecht,Martin H.

Saad, Youcef see Bollhofer, Matthias, 2003e:65036 and 2003g:65038Sadkane,Miloud see Robbe, Mickael, 2003e:65049Sadok, H. see Brezinski, Claude et al.Salam, Ahmed (with Graves-Morris, P. R.) On the vector ε-algorithm for solving linearsystems of equations. (English summary) 2003e:65050

Saleem, Mohammad2 see Honma, Chieko, 2003b:65029Sanjanwala, Swapan see Bauer, Andrew C. et al., (2003k:65167)Schlundt,R. (with Hebermehl, G.; Hubner, F.-K.; Heinrich, Wolfgang; Zscheile, H.)Iterative solution of systems of linear equations in microwave circuits using a block quasi-minimal residual algorithm. (English summary) (see 2003f:78001)

Schoberl, Joachim see Haase, Gundolf et al., 2003d:65022Schonauer,Willi seeWeiss, Rudiger et al., 2003a:65034Schreiber, Ute see Reitzinger, Stefan et al.Scolnik, H. (with Echebest, N.; Guardarucci,M. T.; Vacchino, M. C.) A class of optimizedrow projection methods for solving large nonsymmetric linear systems. (Englishsummary) 2003f:65059

Segal, August see Vuik, C. et al., 2003e:65052Serra Capizzano, Stefano (with Tablino Possio, Cristina) Preliminary remarks on multigridmethods for circulant matrices. (English summary) (see 2003e:65003)(with Tablino Possio, Cristina) Finite element matrix sequences: the case of rectangulardomains. (English summary) 2003b:65034

Convergence analysis of two-grid methods for elliptic Toeplitz and PDEs matrix-sequences. (English summary) 2003i:65032

see also Di Benedetto, Fabio, 2003i:65030Shen, Chi (with Zhang, Jun2) Parallel two level block ILU preconditioning techniques forsolving large sparse linear systems. (English summary)

Shu, Shi see Xiao, Ying Xiong et al.


Simoncini, Valeria (with Perotti, F.) On the numerical solution of (12A+ 1B + C )x = band application to structural dynamics. (English summary) 2003k:65033

see also Pennacchio,Micol, 2003e:65048 and Rozloznık,Miroslav, 2003m:65042

Song, Yongzhong Comparisons of block iterativemethods. (English summary)2003j:65031

Monotone convergence of iterativemethods for singular linear systems. (Englishsummary) 2003k:65034

Comparison theorems for splittings of matrices. (English summary) 2003j:65032

(withWang, Li5) On the semiconvergence of extrapolated iterativemethods for singularlinear systems. (English summary) 2003m:65043

Spiteri, Pierre (withMiellou, Jean-Claude; El Baz, Didier) Perturbation of parallelasynchronous linear iterations by floating point errors. (English summary) 2003h:65042

(withMiellou, Jean-Claude; Bahi, J. M.) Evaluations of parameters for the optimizationof S.S.O.R. and A.D.I. preconditioning. (English summary) 2003h:65043

see alsoMiellou, Jean-Claude,2003c:65029Staudacher, Jochen see Huckle, Thomas, 2003h:65036

Strakos, Zdenek (with Tichy, Petr) On error estimation in the conjugate gradient methodand why it works in finite precision computations. (English summary) 2003m:65044

see also Liesen, J. et al., 2003a:65033 and Paige, ChristopherC., 2003g:65045Strikwerda, John C. A probabilistic analysis of asynchronous iteration. (English summary)

2003e:65051

Stuben,K. see Fullenbach,T., 2003j:65027Subbey, Sam (with Nordtvedt, J.-E.) Capillary pressure curves from centrifuge data: asemi-iterative approach. (English summary) 2003h:65044

Sun, Li Ying1 The preconditioning iterativemethods for the solution of the linear system.(Chinese. English and Chinese summaries) 2003k:65035

Suzuki, Atsushi (with Tabata, Masahisa) On the convergence of conjugate gradient methodfor indefinite symmetric matrices. (Japanese. Japanese summary)

Szyld, Daniel B. seeMarek, Ivo, 2003k:65031Tabata,Masahisa see Suzuki, Atsushi

Tablino Possio, Cristina see Serra Capizzano, Stefano,2003b:65034 and (2003e:65003)Tian, Hong Jiong Accelerate overrelaxationmethods for rank deficient linear systems.(English summary)

Tichy, Petr see Strakos, Zdenek, 2003m:65044

Tidriri, Moulay D. Development and study of Newton-Krylov-Schwarz algorithms.(English summary) 2003d:65028

Traviesas, Elisabeth see Chaitin-Chatelin, Francoise et al., (2003e:65003)Tuma, Miroslav see Benzi, Michele, 2003f:65048Tuminaro, Ray see Adams, Mark F. et al.

Vacchino,M. C. see Scolnik,H. et al., 2003f:65059Van Iseghem, Jeannette Vector-orthogonality and Lanczos-type methods. (Englishsummary) 2003c:65031

Vassalos, P. see Noutsos, D., 2003d:65027Vassilevski, Panayot S. Sparse matrix element topology with application to AMG(e) andpreconditioning. (English summary) 2003i:65033

van der Vorst, Henk A. Efficient and reliable iterativemethods for linear systems. (Englishsummary)see also Bomhof, ChristiaanWillem, 2003m:65038

Vuik, C. (with Segal, August; el Yaakoubi, L.; Dufour, E.) A comparison of variousdeflation vectors applied to elliptic problems with discontinuous coefficients. (Englishsummary) 2003e:65052

Wang, Kai6 (with Zhang, Jun2) Multigrid treatment and robustness enhancement forfactored sparse approximate inverse preconditioning. (English summary)

Wang, Li5 see Song, Yongzhong,2003m:65043

Wang,Mei see Cao, Zhi-Hao, 2003c:65025 and Zhou, Feng, 2003k:65036

Wang,Neng Chao see Yuan, Dong Jing

Wang,Wei see Cheng, Yi Ming et al.

Wang, Yang see Cao, Zhi-Hao, 2003a:65030Wathen, Andrew J. see Kay, David et al., 2003h:65038Wei, Yi-Min (with Li, Xiezhang; Wu, Hebing) Subproper and regular splittings forrestricted rectangular linear system. (English summary) 2003j:65033

Weiss, Rudiger (with Podgajezki, Isabella; Hafner, Hartmut; Schonauer, Willi) Iterativemethods for solving systems of linear equations, from the past to the future. (Russian.English and Russian summaries) 2003a:65034

Welfert, B. D. see Burrage, Kevin et al., 2003a:65028

Widlund,Olof B. see Klawonn, Axel et al., 2003g:65044Winther, Ragnar see Lyche, Tom et al., 2003h:65039Witzel, Jurgen seeMeister, Andreas2

Wu, Hebing seeWei, Yi-Min et al., 2003j:65033Wu, Jian Ping2 (with Li, Xiao Mei) Evaluating the factors of block tridiagonal matricesand its application. (Chinese. English summary)

Xiao, Tong see Zhang, Jun2, 2003m:65045

Xiao, Ying Xiong (with Shu, Shi; Yang, Ying2) A Krylov-subspace iterativemethodfor 2D3T energy equations based on the AMG preconditioner. (Chinese. English andChinese summaries)

el Yaakoubi, L. seeVuik, C. et al., 2003e:65052Yan, Shi Jian2 The estimation of convergence rate for oblique projection method. (Englishsummary)

Yang, Ying2 see Xiao, Ying Xiong et al.

Ying, Wenlong A note on preconditional diagonally dominant matrices. (English summary)

Yip, Andy M. see Chan, RaymondH. et al., 2003e:65038Young,David M. see Kincaid, David R. et al., (2003e:65003)Yousif,W. seeMartins, M. Madalena et al., 2003e:65045Yuan, Dong Jing (withWang, Neng Chao) Convergence of the parallel chaotic MSORmethod forH -matrices. (Chinese. English and Chinese summaries)

Yun, Jae Heon (with Han, Yu Du) Modified incomplete Cholesky factorization precondi-tioners for a symmetric positive definite matrix. (English summary) 2003g:65047

Zhadaeva,N. G. see Abrashin, V. N. et al., 2003f:65046Zhang, Jian Jun seeGu, Gui-Ding et al.

Zhang, Jun2 A sparse approximate inverse preconditioner for parallel preconditioning ofgeneral sparse matrices. (English summary) 2003d:65029

(with Xiao, Tong) A multilevel block incomplete Cholesky preconditioner for solvingnormal equations in linear least squares problems. (English summary) 2003m:65045see also Karaa, S., 2003b:65031;Shen, Chi andWang, Kai6

Zhang, Shao Liang see Abe, Kuniyoshi

Zheng, Zhou Shun (with Pu, Le) An iterativemethod for solving nonlinear least squaresproblems. (Chinese. English and Chinese summaries)

Zhou, Feng (withWang,Mei) Error analysis of the Krylov method of singular matrices.(Chinese. English and Chinese summaries) 2003k:65036

Zou, Jun see Cai, Xiao-Chuan,2003f:65049 and Cheng, Xiao Liang, 2003m:65040

Zscheile, H. see Schlundt,R. et al., (2003f:78001)


Conference:Preconditioned Robust Iterative SolutionMethods for Problems with Singularities

Preconditioned robust iterative solution methods. PRISM ’01.Nijmegen Preconditioned robust iterative solution methods. PRISM ’01.Preconditioned robust iterative solution methods Preconditioned robust iterative solutionmethods. PRISM ’01.


Abrashin, V. N. (with Egorov, Andrei A.; Zhadaeva, N. G.) On the rate of convergence ofadditive iterativemethods. (Russian. Russian summary) 2003a:65061

Akesbi, S. (withMaitre, Emmanuel) Theoretical and numerical analysis of a minimalresidual solver for 2D Boltzmann transport equation. (English summary) 2003k:65172

Auroux, Didier see Veerse, F. et al.Bai, Zhaojun Krylov subspace techniques for reduced-order modeling of large-scaledynamical systems. (English summary) 2003h:93002

Bai, Zhong Zhi (with Zhang, Shao Liang) A regularized conjugate gradient method forsymmetric positive definite system of linear equations. (English summary) 2003h:65056

Battermann, Astrid (with Sachs, Ekkehard W.) Block preconditioners for KKT systems inPDE-governed optimal control problems. (English summary) 2003k:49069

Belyavskiı, S. S. (withMulyarchik, S. G.) Two-level preconditioners of grid equations inpseudo-dual direction methods. (Russian. Russian summary) 2003a:65094

Berryman, James G. Analysis of approximate inverses in tomography. II. Iterative inverses.(English summary) 2003i:65051b

Bertram, Barbara S. (with Cheng, Haiyan) On the use of the conjugate gradient methodfor the numerical solution of first-kind integral equations in two variables. (see2003a:00028)see also Cheng,Haiyan, (2003a:00028)

Binder, Thomas (with Blank, Luise; Dahmen,Wolfgang; Marquardt, Wolfgang) Iterativealgorithms for multiscale state estimation. I. Concepts. (English summary) 2003a:93026

(with Blank, Luise; Dahmen, Wolfgang; Marquardt, Wolfgang) Iterative algorithmsfor multiscale state estimation. II. Numerical investigations. (English summary)2003a:93027

Blaheta, Radim GPCG-generalizedpreconditioned CG method and its use with non-linearand non-symmetric displacement decomposition preconditioners. (English summary)2003k:65042

Blank, Luise see Binder, Thomas et al., 2003a:93026 and 2003a:93027

Bogachev, K. Yu. Efficient algorithms for stiff elliptic problems with large parameters.(English summary) 2003j:65112

Brezina, Marian see Vanek, Petr et al., (2003f:65005)Bru, Rafael (with Ginestar, D.; Marın, Jose; Verdu Martın, Gumersindo; Mas, Jose;Manteuffel, T.) Iterative schemes for the neutron diffusion equation. (English summary)2003j:82083

Burkholder, Robert J. see Rodrıguez Pino, Marcos et al., 2003d:78038Cain, Philipp (withMilde, Frank; Romer, Rudolf A.; Schreiber, Michael) Use of clustercomputing for the Anderson model of localization. (English summary) 2003g:82049

Calvetti, Daniela (with Hansen, Per Christian; Reichel, Lothar) L-curve curvature boundsvia Lanczos bidiagonalization. (English summary) 2003i:65039

(with Reichel, Lothar; Shuibi, A.) Enriched Krylov subspace methods for ill-posedproblems. (English summary) 2003m:65059

Cendes, Zoltan see Sun, Din-Kow et al., 2003c:65128Censor, Yair (with Elfving, Tommy) Block-iterative algorithms with diagonally scaledoblique projections for the linear feasibility problem. (English summary) 2003f:90040

Chan, Raymond H. see Ng, Michael K. et al., (2003e:65003)Chen, Jin-ru (with Xu, Xue-jun) Uniform convergence and Schwarz method for themortar element method for non-selfadjoint and indefinite problems. (English summary)2003j:65113

Chen, Xin6 (withWang,Wei; Song, Yongzhong) Splitting based on the outer inverse ofmatrices. (English summary) 2003d:15005

Cheng, Haiyan (with Bertram, Barbara S.) On the stopping criteria for conjugate gradientsolutions of first-kind integral equations in two variables. (see 2003a:00028)see also Bertram, Barbara S., (2003a:00028)

Chiu, Chong-Kan (with Lee, Jimmy Ho-Man) Efficient interval linear equality solving inconstraint logic programming. (English summary) 2003e:65073

Christiansen, Snorre H. (with Nedelec, Jean-Claude) A preconditioner for the electric fieldintegral equation based on Calderon formulas. (English summary) 2003m:65235

Ciegis, Raimondas (with Pakalnite, V.) Spectral analysis of the convergence of multicom-ponent iterativemethods. (Russian. Russian summary) 2003d:65098

Dahmen, Wolfgang see Binder, Thomas et al., 2003a:93026and 2003a:93027

De Gersem, H. (with Vandewalle, Stefan; Hameyer, Kay) Krylov subspace methods forharmonic balanced finite element methods. (English summary) (see 2003f:78001)


Djamegni, Clementin Tayou Synthesis of space-time optimal systolic algorithms for theCholesky factorization. (English summary) 2003b:68212

Djordjevic, Dragan S. (with Stanimirovic, Predrag S.) A new type of matrix splitting and itsapplications. (English summary) 2003f:15009


Douglas, Craig C. (with Haase, Gundolf; Iskandarani, Mohamed) An accelerationprocedure for the spectral element ocean model formulation of the shallow waterequations. (English summary) 2003d:86003(with Haase, Gundolf; Langer, Ulrich1) A tutorial on elliptic PDE solvers and theirparallelization.

Du, Qi Kui (with Yu, De Hao) Dirichlet-Neumann alternating algorithm based on thenatural boundary reduction for time-dependent problems over an unbounded domain.(English summary)

Egorov, Andrei A. see Abrashin, V. N. et al., 2003a:65061Elfving, Tommy see Censor, Yair, 2003f:90040Elman, Howard C. (with Silvester, David J.; Wathen, Andrew J.) Block preconditioners forthe discrete incompressible Navier-Stokes equations. (English summary) 2003k:76098

Eremin, A. Yu. see Kharchenko, S. A., 2003d:15022Espedal, Magne S. see Reme, Hilde et al., (2003j:76006)Evans, David John1 (withMohanty, R. K.) Alternating group explicit method for thenumerical solution of non-linear singular two-point boundary value problems using afourth order finite difference method. (English summary) 2003k:65072

Fierro, Ricardo D. (with Hansen, Per Christian) Recent developments in rank revealingand Lanczos methods for TLS-related problems. (English summary) (see 2003g:00026)

Fisher, Michael see Veerse, F. et al.

Fladmark, Gunnar E. see Reme, Hilde et al., (2003j:76006)Florez, E. seeMontero Garcıa, Gustavo et al., 2003c:15039Frank, Jason see Vuik, C. et al., (2003b:76005)Gao, Ming Chu (with Hou, Jin Chuan) Nonnegative solutions of infinite-dimensionaldiscrete-time algebraic Riccati equations. (Chinese. English and Chinese summaries)2003f:93058

Gao, Zhong Xi (with Huang, Ting Zhu; Wang, Guang Bin) A new upper bound for thespectral radius of iterativematrices. (Chinese. English and Chinese summaries)

Garcıa Leon, Marıa Dolores seeMontero Garcıa, Gustavo et al., 2003c:15039Gatica, Gabriel N. (with Heuer, Norbert) A preconditioned MINRES method for thecoupling of mixed-FEM and BEM for some nonlinear problems. (English summary)2003m:65197

Ginestar, D. see Bru, Rafael et al., 2003j:82083Golub, Gene H. (with Greif, Chen; Varah, JamesM.) Block orderings for tensor-productgrids in two and three dimensions. (English summary) 2003f:65182

Gonzalez Sanchez,Luis seeMontero Garcıa, Gustavo et al., 2003c:15039Gopalakrishnan, Jayadeep (with Pasciak, Joseph E.) Overlapping Schwarz preconditionersfor indefinite time harmonic Maxwell equations. (English summary) 2003i:78020

Gravvanis, George A. Solving symmetric arrow-type linear systems by explicit precondi-tioned schemes. (English summary) 2003j:65023(with Platis, Agapios N.) On the computation of the asymptotic availability of cyclicnon-homogeneous Markov chain systems by approximate inverse preconditioning.(English summary)see also Platis, AgapiosN., 2003g:60130

Greenbaum, Anne Generalizations of the field of values useful in the study of polynomialfunctions of a matrix. (English summary) 2003d:15030

Greif, Chen see Golub, Gene H. et al., 2003f:65182Gumel, A. B. A competitive numerical method for a chemotherapy model of two HIVsubtypes. (English summary) 2003g:92011

Gustafsson, I. (with Lindskog, G.) On parallel solution of linear elasticity problems. II.Methods and some computer experiments. (English summary) 2003b:74066

Haase, Gundolf see Douglas, Craig C. et al., 2003d:86003Hameyer, Kay see De Gersem, H. et al., (2003f:78001)Hansen, Per Christian see Calvetti, Daniela et al., 2003i:65039 and Fierro, Ricardo D.,(2003g:00026)

Heuer, Norbert see Gatica, Gabriel N., 2003m:65197Hou, Jin Chuan see Gao, Ming Chu, 2003f:93058Huang, Ting Zhu see Gao, Zhong Xi et al.Huhtanen,Marko A Hermitian Lanczos method for normal matrices. (English summary)

2003f:15006Igonin, Sergei Conservation laws for multidimensional systems and related linear algebraproblems. (English summary) 2003k:35155

Ishiwata, Emiko seeMuroya, Yoshiaki

Iskandarani,Mohamed see Douglas, Craig C. et al., 2003d:86003Ivanov, Ivan Ganchev (with Todorov, Yu. D.) On the numerical solution of three speciallinear matrix equations. (English summary) (see 2003b:00022)

Jin, Xiao-Qing see Lei, Siu-Long, (2003e:65003)Kanevsky, Yuliya see Sidi, Avram, 2003k:15004Karaa, S. (with Zhang, Jun2) Convergence and performance of iterativemethods forsolving variable coefficient convection-diffusion equation with a fourth-order compactdifference scheme. (English summary) 2003d:65099

Kharchenko,S. A. (with Eremin, A. Yu.) Multiplicative correction of a matrix on asequence of subspaces. I. Basic algorithms and theory for the general nonsymmetric sign-indefinite case. (Russian. English and Russian summaries) 2003d:15022

Kojima,Masakazu see Zhang, Shao Liang et al., 2003e:90056Kouatchou, Jules see Zhang, Jun2 et al., 2003e:65194Krızkova, Jitka see Vanek, Petr et al., (2003f:65005)Kuhn, Michael (with Steinbach, Olaf) Symmetric coupling of finite and boundary elementsfor exterior magnetic field problems. (English summary) 2003b:65122

Kunoth, Angela Fast iterative solution of saddle point problems in optimal control based onwavelets. (English summary) 2003f:49063

Kwan, Wilson C. see Ng, Michael K. et al., (2003e:65003)Laitinen, Erkki J. (with Pieska, J.; Lapin, A. V.) Mesh approximation and iterativesolution of the continuous casting problem. (English summary) 2003i:65072

Langer, Ulrich1 see Douglas, Craig C. et al.

Lapin, A. V. see Laitinen, Erkki J. et al., 2003i:65072(Larimore, Wallace E.) seeZhou, Jie2, 2003k:93025Lee, Jimmy Ho-Man see Chiu, Chong-Kan,2003e:65073Lee, Jin-Fa see Sun, Din-Kow et al., 2003c:65128Lei, Siu-Long (with Jin, Xiao-Qing) Strang-type preconditioners for differential-algebraic

equations. (English summary) (see 2003e:65003)Li, Jing-Rebecca (withWhite, Jacob) Low rank solution of Lyapunov equations. (Englishsummary) 2003e:93060

Lindskog, G. see Gustafsson, I., 2003b:74066Liu, Zhongyun (with Zhang, Hong Wei3; Zeng, Qingguang) Two-stage multisplittingmethods for symmetric positive definite matrices. (English and Chinese summaries)

Loghin, Daniel (withWathen, Andrew J.) Schur complement preconditioners for theNavier-Stokes equations. (English summary) 2003j:76075

Maitre, Emmanuel see Akesbi, S., 2003k:65172Manteuffel, T. see Bru, Rafael et al., 2003j:82083Marın, Jose see Bru, Rafael et al., 2003j:82083Marquardt,Wolfgang see Binder, Thomas et al., 2003a:93026 and 2003a:93027Mas, Jose see Bru, Rafael et al., 2003j:82083Meini, Beatrice Efficient computation of the extreme solutions of X +A∗X−1A=Q andX −A∗X−1A=Q. (English summary) 2003c:15018

Milde, Frank see Cain, Philipp et al., 2003g:82049Mizukami, Koichi seeMukaidani,Hiroaki, (2003b:91003)Mohanty, R. K. see Evans, David John1, 2003k:65072Montero Garcıa, Gustavo (with Gonzalez Sanchez, Luis; Florez, E.; Garcıa Leon,Marıa Dolores; Suarez Sarmiento, Antonio) Approximate inverse computation usingFrobenius inner product. (English summary) 2003c:15039

Mukaidani, Hiroaki (withMizukami, Koichi) Numerical algorithm for solving cross-coupled algebraic Riccati equations related toH2/H∞ control problem of singularlyperturbed systems. (English summary) (see 2003b:91003)

Mulder, W. A. see Plessix, R. E., 2003m:65198Mulyarchik, S. G. see Belyavskiı, S. S., 2003a:65094Muroya, Yoshiaki (with Ishiwata, Emiko) Basic LUL factorization and improved iterativemethod with orderings. (English summary)

Nakata, Kazuhide see Zhang, Shao Liang et al., 2003e:90056Nedelec, Jean-Claude see Christiansen, Snorre H., 2003m:65235Ng, Michael K. (with Kwan, Wilson C.; Chan, Raymond H.) A fast algorithm for high-resolution color image reconstruction with multisensors. (English summary) (see2003e:65003)

Niki, Hiroshi see Ojiro, Keiko et al., 2003k:15025Obelleiro, Fernando see Rodrıguez Pino, Marcos et al., 2003d:78038Ojiro, Keiko (with Niki, Hiroshi; Usui, Masataka) A new criterion for the H -matrixproperty. (English summary) 2003k:15025

Othman, Mohamed see Zhang, Jun2 et al., 2003e:65194Pakalnite, V. see Ciegis, Raimondas, 2003d:65098Pasciak, Joseph E. see Gopalakrishnan, Jayadeep,2003i:78020Peradze, D. G. Jacobi nonlinear iteration method for a discrete Kirchhoff system. (Englishand Georgian summaries) 2003c:65095

Pieska, J. see Laitinen, Erkki J. et al., 2003i:65072Platis, AgapiosN. (with Gravvanis, George A.) Dependability evaluation using explicitapproximate inverse preconditioning. (English summary) 2003g:60130(with Gravvanis, George A.) Modeling the dependability of a class partitioned systemand using explicit approximate arrow-structure inverses. (English summary)see also Gravvanis, George A.

Plato, Robert (with Vainikko, Gennadi) The fast solution of periodic integral andpseudodifferential equations by GMRES. (English summary) 2003f:65099

Plessix, R. E. (withMulder, W. A.) Separation-of-variables as a preconditioner for aniterativeHelmholtz solver. (English summary) 2003m:65198

Reichel, Lothar see Calvetti, Daniela et al., 2003i:65039 and 2003m:65059Reitzinger, Stefan (with Schoberl, Joachim) An algebraic multigrid method for finiteelement discretizations with edge elements. (English summary) 2003f:78033

Reme, Hilde (with Espedal, Magne S.; Fladmark, Gunnar E.) A preconditioning techniqueas an upscaling procedure. (English summary) (see 2003j:76006)

Rhanizar, B. Nonlinear multiple hybrid procedures for solving some constrained nonlinearoptimization problems. (English summary) 2003g:90051

Robbe, Mickael (with Sadkane, Miloud) A priori error bounds on invariant subspaceapproximations by block Krylov subspaces. (English summary) 2003d:15013

Rodrıguez Pino, Marcos (with Burkholder, Robert J.; Obelleiro, Fernando) Spectralacceleration of the generalized forward-backward method. (English summary)2003d:78038

Romer, Rudolf A. see Cain, Philipp et al., 2003g:82049Saad, Youcef (with Suchomel, B.) ARMS: an algebraic recursivemultilevel solver forgeneral sparse linear systems. (English summary) 2003e:65070

Sachs, Ekkehard W. see Battermann, Astrid, 2003k:49069Sadkane,Miloud see Robbe, Mickael, 2003d:15013Saranen, Jukka (with Vainikko, Gennadi) Periodic integral and pseudodifferentialequations with numerical approximation. (English summary) 2003h:47088

Schoberl, Joachim see Reitzinger, Stefan, 2003f:78033Schreiber, Michael see Cain, Philipp et al., 2003g:82049Shao, Rong seeWu, Xin Yuan et al., 2003h:65057Shuibi, A. see Calvetti, Daniela et al., 2003m:65059

Sidi, Avram (with Kanevsky, Yuliya) Orthogonal polynomials and semi-iterativemethods for the Drazin-inverse solution of singular linear systems. (English summary)2003k:15004

Silvester, David J. see Elman, Howard C. et al., 2003k:76098Song, Yongzhong see Chen, Xin6 et al., 2003d:15005Stanimirovic, Predrag S. see Djordjevic, Dragan S., 2003f:15009Steinbach,Olaf see Kuhn, Michael, 2003b:65122Suarez Sarmiento, Antonio seeMontero Garcıa, Gustavo et al., 2003c:15039Suchomel, B. see Saad, Youcef, 2003e:65070Sun, Din-Kow (with Lee, Jin-Fa; Cendes, Zoltan) Construction of nearly orthogonalNedelec bases for rapid convergence with multilevel preconditioned solvers. (Englishsummary) 2003c:65128

Tezaur, Radek see Vanek, Petr et al., (2003f:65005)Todorov, Yu. D. see Ivanov, Ivan Ganchev, (2003b:00022)Usui, Masataka see Ojiro, Keiko et al., 2003k:15025


Vainikko, Gennadi see Plato, Robert, 2003f:65099 and Saranen, Jukka, 2003h:47088Vandewalle, Stefan see De Gersem, H. et al., (2003f:78001)Vanek, Petr (with Tezaur, Radek; Brezina, Marian; Krızkova, Jitka) Two-level methodwith coarse space size independent convergence. (see 2003f:65005)

Varah, James M. see Golub, Gene H. et al., 2003f:65182Veerse, F. (with Auroux, Didier; Fisher, Michael) Limited-memory BFGS diagonalpreconditioners for a data assimilation problem in meteorology. (English summary)

Verdu Martın, Gumersindo see Bru, Rafael et al., 2003j:82083Vermolen, F. J. see Vuik, C. et al., (2003b:76005)Vuik, C. (with Frank, Jason; Vermolen, F. J.) Parallel deflated Krylov methods forincompressible flow. (English summary) (see 2003b:76005)

Wang,Guang Bin see Gao, Zhong Xi et al.

Wang, Li5 AOR type iterativemethods for solving least squares problems. (Englishsummary) 2003b:15006

Wang,Wei see Chen, Xin6 et al., 2003d:15005Wang,Weichung The convergence of an interior-point method using modified searchdirections in final iterations. (English summary) 2003g:90115

Wathen, Andrew J. see Loghin, Daniel, 2003j:76075 and Elman, Howard C. et al.,2003k:76098

White, Jacob see Li, Jing-Rebecca, 2003e:93060Wu, Xin Yuan (with Shao, Rong; Xue, Guo-he) Iterative refinement of solution withbiparameter for solving ill-conditioned systems of linear algebraic equations. (Englishsummary) 2003h:65057

Xu, Jinchao (with Zikatanov, Ludmil) The method of alternating projections and themethod of subspace corrections in Hilbert space. 2003f:65095

Xu, Shu Fang The maximal solution of the matrix equation X +ATX−1A= I . (Chinese.English and Chinese summaries)

Xu, Xue-jun see Chen, Jin-ru, 2003j:65113Xue, Guo-he seeWu, Xin Yuan et al., 2003h:65057Yu,De Hao see Du, Qi Kui

Yuan, Dong Jing On the accelerative convergence of discretized waveformmethod forsolving ordinary differential systems. (English and Chinese summaries) 2003a:65057

Zeng,Qingguang see Liu, Zhongyun et al.

Zhadaeva,N. G. see Abrashin, V. N. et al., 2003a:65061Zhang,Hong Wei3 see Liu, Zhongyun et al.

Zhang, Jun2 (with Kouatchou, Jules; Othman, Mohamed) On cyclic reduction and finitedifference schemes. (English summary) 2003e:65194

see also Karaa, S., 2003d:65099Zhang, Shao Liang (with Nakata,Kazuhide; Kojima, Masakazu) Incomplete orthogonal-ization preconditioners for solving large and dense linear systems which arise from semi-definite programming. (English summary) 2003e:90056

see also Bai, Zhong Zhi, 2003h:65056Zhou, Jie2 (with Zhu, Yun Min) Comment on: “Order-recursive factorization of thepseudoinverse of a covariance matrix” [IEEE Trans. Automat. Control 35 (1990), no. 12,1299–1303;MR 91k:93026] by W. E. Larimore. (English summary) 2003k:93025

Zhu, Yun Min see Zhou, Jie2, 2003k:93025Zikatanov, Ludmil see Xu, Jinchao, 2003f:65095Zulehner,Walter Analysis of iterativemethods for saddle point problems: a unifiedapproach. (English summary) 2003f:65183

65F15 Eigenvalues, eigenvectors

Absil, P.-A. (withMahony, Robert E.; Sepulchre, R.; Van Dooren, Paul M.) AGrassmann-Rayleigh quotient iteration for computing invariant subspaces. (English sum-mary) 2003h:65045

Agaev, R. P. (with Chebotarev, P. Yu.) On the determination of the eigenprojection andcomponents of a matrix. (Russian. Russian summary) 2003m:65046

Bai, Zhaojun (with Freund, Roland W.) A symmetric band Lanczos process based oncoupled recurrences and some applications. (English summary) 2003e:65053

Balint, Imre see Kocsor, Andras et al., 2003k:65038Barlow, Jesse L. More accurate bidiagonal reduction for computing the singular valuedecomposition. (English summary) 2003b:65035

Bezerra, L. H. (with Tomei, Carlos) Spectral transformation algorithms for computingunstable modes. (English summary) 2003f:65060

Bindel, David (with Demmel, James; Kahan, William; Marques, Osni) On computingGivens rotations reliably and efficiently. (English summary) 2003h:65046

Braman, Karen (with Byers, Ralph; Mathias, Roy) The multishift QR algorithm.I. Maintaining well-focused shifts and level 3 performance. (English summary)2003f:65061

(with Byers, Ralph; Mathias, Roy) The multishift QR algorithm. II. Aggressive earlydeflation. (English summary) 2003f:65062

Brandts, Jan Computation of invariant subspaces of large and sparse matrices. (Englishsummary) 2003m:65047

The Riccati algorithm for eigenvalues and invariant subspaces of matrices withinexpensive action. (English summary) 2003m:65048

Byers, Ralph see Braman, Karen et al., 2003f:65061 and 2003f:65062

Calvetti, Daniela (with Kim, sun-Mi2; Reichel, Lothar) The restartedQR-algorithm foreigenvalue computation of structured matrices. (English summary) 2003i:65034

Chebotarev,P. Yu. see Agaev, R. P., 2003m:65046

Chen, Gui-zhi (with Jia, Zhong Xiao) A reverse order implicitQ-theorem and the Arnoldiprocess. (English summary) 2003i:65035

Chen, Richard M.-M. see Huang, Zu Lan et al.

Dax, Achiya The orthogonal Rayleigh quotient iteration (ORQI) method. (Englishsummary) 2003m:65049

Demmel, James see Bindel, David et al., 2003h:65046Dhillon, Inderjit S. (withMalyshev, A. N.) Inner deflation for symmetric tridiagonalmatrices. (English summary) 2003m:65050

Dombi, Jozsef see Kocsor, Andras et al., 2003k:65038Dongarra, Jack see Henry, Greg et al., 2003h:65049

Dopico, Froilan M. (withMoro, Julio) Perturbation theory for simultaneous bases ofsingular subspaces. (English summary) 2003e:65054

Elden, Lars see Lundstrom, Eva, 2003d:65030 and Simoncini, Valeria, 2003d:65033van den Eshof, Jasper The convergence of Jacobi-Davidson iterations for Hermitianeigenproblems. (English summary) 2003b:65036

see also Sleijpen,Gerard L. G. et al., 2003k:65039 and 2003m:65053Freund, RolandW. see Bai, Zhaojun, 2003e:65053Gansterer, Wilfried N. (withWard, Robert C.; Muller, Richard P.) An extension of thedivide-and-conquermethod for a class of symmetric block-tridiagonal eigenproblems.(English summary) 2003h:65047

Godunov, S. K. (with Sadkane, Miloud) Some new algorithms for the spectral dichotomymethods. (English summary) 2003j:65034

Golub, Gene H. (with Ye, Qiang1) An inverse free preconditioned Krylov subspace methodfor symmetric generalized eigenvalue problems. (English summary) 2003h:65048

Gragg, William B. seeWang, Tai-Lin, 2003h:65052and 2003i:65036

Hasanov, V. I. On iterativemethods for solving the spectral J -symmetric problem. (Englishsummary) (see 2003b:00022)

Hasegawa, Takemitsu see Hosoda, Yohsuke et al.

Henry, Greg (withWatkins, David S.; Dongarra, Jack) A parallel implementation of thenonsymmetric QR algorithm for distributed memory architectures. (English summary)2003h:65049

Higham, Desmond J. seeMcDonald, Edward J., 2003d:65032Hokoda, Masayuki see Hosoda, Yohsuke et al.

Hosoda, Yohsuke (with Hokoda, Masayuki; Hasegawa, Takemitsu) A singular valuedecomposition algorithm for rank-deficient matrices. (Japanese. English and Japanesesummaries)

Huang, Zu Lan (with Jiang, Yao Lin; Chen, Richard M.-M.; Lin, Xiao La) On parallelimplementation of dynamic equations for solving eigenvalue problems of complexmatrices. (Chinese. English and Chinese summaries)

Huhtanen,Marko (with Larsen, Rasmus Munk) Exclusion and inclusion regions for theeigenvalues of a normal matrix. (English summary) 2003g:65048

Janovska, Drahoslava Decomposition of an updated correlation matrix via hyperbolictransformations. (English summary) 2003e:65055

Jia, Zhong Xiao The refined harmonic Arnoldi method and an implicitly restarted refinedalgorithm for computing interior eigenpairs of large matrices. (English summary)2003g:65049(with Zhang, Yong2) A refined shift-and-invertArnoldi algorithm for large unsymmetricgeneralized eigenproblems. 2003k:65037see also Chen, Gui-zhi, 2003i:65035

Jiang, Yao Lin see Huang, Zu Lan et al.Kahan, William see Bindel, David et al., 2003h:65046Kaufman, Linda An observation on bisection software for the symmetric tridiagonaleigenvalue problem. (English summary) 2003j:65035

Kaveh, A. (with Sayarinejad, M. A.) Eigensolutions for matrices of special structures.(English summary)

Kharab, Abdelwahab Eigenpairs of symmetric matrices using the quadratic method and themethod of subdefinite calculations. (English summary) 2003e:65056

(with Kharab, Rachid) A new method for finding the eigenpairs of symmetric intervalmatrices. (English summary) 2003f:65063

Kharab, Rachid see Kharab, Abdelwahab, 2003f:65063Khattree, Ravindra On the calculation of antieigenvalues and antieigenvectors. (Englishsummary) 2003e:65057

Kim, sun-Mi2 seeCalvetti, Daniela et al., 2003i:65034Knyazev, Andreı Vladimirovich Toward the optimal preconditioned eigensolver: locallyoptimal block preconditioned conjugate gradient method. (English summary)2003g:65050

Kocsor, Andras (with Dombi, Jozsef; Balint, Imre) Inequality-based approximation ofmatrix eigenvectors. (English summary) 2003k:65038

Larsen, Rasmus Munk see Huhtanen,Marko, 2003g:65048Lin, Xiao La see Huang, Zu Lan et al.Liu, Xiaolin (with Oliveira, Carlos Sousa) Iterativemodal perturbation and reanalysis ofeigenvalue problem. (English summary)

Lundstrom, Eva (with Elden, Lars) Adaptive eigenvalue computations using Newton’smethod on the Grassmann manifold. (English summary) 2003d:65030

Mahony, Robert E. see Absil, P.-A. et al., 2003h:65045Malyshev, A. N. see Dhillon, Inderjit S., 2003m:65050Marques, Osni see Bindel, David et al., 2003h:65046Matejas, J. Convergence of scaled iterates by the Jacobi method. (English summary)

2003d:65031

Mathias, Roy see Braman, Karen et al., 2003f:65061 and 2003f:65062McDonald, Edward J. (with Higham, Desmond J.) Error analysis of QR algorithms forcomputing Lyapunov exponents. (English summary) 2003d:65032

Mezher, Dany (with Philippe, Bernard) PAT—a reliable path-following algorithm.(English summary) 2003b:65037

Moro, Julio see Dopico, Froilan M., 2003e:65054Muller, Richard P. see Gansterer, Wilfried N. et al., 2003h:65047Nakic, Ivica Relative perturbation theory for a class of diagonalizableHermitian matrixpairs. (English summary) 2003m:65051

Neymeyr, Klaus A geometric theory for preconditioned inverse iteration applied to asubspace. (English summary) 2003g:65051

Ng, Michael K. A fast algorithm for blind channel identification. (English summary)2003j:65036

Oliveira, Carlos Sousa see Liu, Xiaolin

Ouyang, Tian Wei (with Zhang, Zhen Yue) Computing the eigenvector of a symmetrictridiagonal matrix by using simple inverse iteration. (Chinese. English summary)

Peluso, R. I. (with Piazza,G.) A unified convergence theory for LR and QR algorithmsapplied to symmetric eigenvalue problems. (English and Italian summaries) 2003h:65050

Philippe, Bernard seeMezher, Dany, 2003b:65037Piazza, G. see Peluso, R. I., 2003h:65050Pini, Giorgio Leftmost eigenvalue of real and complex sparse matrices on parallel computer


using approximate inverse preconditioning. (English summary) 2003f:65064

Quintana-Ortı, Enrique S. see Sun, Xiaobai, 2003m:65055

Ralha, Rui One-sided reduction to bidiagonal form. (English summary) 2003m:65052

Reichel, Lothar see Calvetti, Daniela et al., 2003i:65034Robbe,Mickael (with Sadkane, Miloud) Riccati-based preconditioner for computinginvariant subspaces of large matrices. (English summary) 2003f:65065

Sadkane,Miloud see Robbe, Mickael, 2003f:65065and Godunov, S. K., 2003j:65034Sayarinejad,M. A. see Kaveh, A.

Sepulchre,R. see Absil, P.-A. et al., 2003h:65045Shen, Long Jun seeWu, Ji-ming, 2003h:65053Simoncini, Valeria (with Elden, Lars) Inexact Rayleigh quotient-type methods foreigenvalue computations. (English summary) 2003d:65033

Sleijpen,Gerard L. G. (with van den Eshof, Jasper) On the use of harmonic Ritz pairs inapproximating internal eigenpairs. (English summary) 2003m:65053

(with van den Eshof, Jasper; Smit, Paul) Optimal a priori error bounds for the Rayleigh-Ritz method. (English summary) 2003k:65039

Smit, Paul see Sleijpen, Gerard L. G. et al., 2003k:65039Stathopoulos,Andreas A case for a biorthogonal Jacobi-Davidsonmethod: restarting andcorrection equation. (English summary) 2003g:65052

Stewart, G. W. Addendum to: “A Krylov-Schur algorithm for large eigenproblems” [SIAMJ. Matrix Anal. Appl. 23 (2001/02), no. 3, 601–614 (electronic); MR 2003b:15019].(English summary) 2003m:65054

Adjusting the Rayleigh quotient in semiorthogonal Lanczos methods. (Englishsummary) 2003h:65051

Sun, Xiaobai (with Quintana-Ortı, Enrique S.) The generalized Newton iteration for thematrix sign function. (English summary) 2003m:65055

Tomei, Carlos see Bezerra, L. H., 2003f:65060Trefethen, Lloyd N. seeWright, Thomas G., 2003m:65056

Van Dooren, Paul M. see Absil, P.-A. et al., 2003h:65045van der Vorst, Henk A. Computational methods for large eigenvalue problems.

2003e:65058

Wang, Tai-Lin (with Gragg, William B.) Convergence of the shifted QR algorithm forunitary Hessenberg matrices. (English summary) 2003i:65036

(with Gragg, William B.) Convergence of the unitary QR algorithm with a unimodularWilkinson shift. (English summary) 2003h:65052

Ward, Robert C. see Gansterer, Wilfried N. et al., 2003h:65047Watkins, David S. see Henry, Greg et al., 2003h:65049Wright, Thomas G. (with Trefethen, Lloyd N.) Pseudospectra of rectangularmatrices.(English summary) 2003m:65056

Wu, Ji-ming (with Shen, Long Jun) Spectral analysis of the first-order Hermite cubicspline collocation differentiationmatrices. (English summary) 2003h:65053

Xiong, Xi Wen see Yan, Qing You, 2003m:65057

Yan,Qing You (with Xiong, Xi Wen) An efficient and stable structure preserving algorithmfor computing the eigenvalues of a Hamiltonian matrix. (Chinese. English and Chinesesummaries) 2003m:65057

Ye, Qiang1 see Golub, Gene H., 2003h:65048Zhang, Yong2 see Jia, Zhong Xiao, 2003k:65037Zhang, Zhen Yue see Ouyang, Tian Wei

Zivkovic, Tomislav P. Augmentation of the generalised n × n eigenvalue equation to ageneralised (n + 1)× (n + 1) eigenvalue equation. (English summary) 2003f:65066


Ahues,Mario (with Largillier, Alain; Limaye, Balmohan V.) Spectral computations forbounded operators. (English summary) 2003e:47039

Andrew, Alan L. (with Tan, Roger C. E.) Iterative computation of higher derivativesof repeated eigenvalues and the corresponding eigenvectors. (English summary)2003c:15009


(Barlow, Jesse L.) see Special Issue: Accurate solution of eigenvalue problems

Beattie, ChristopherA. (with Ipsen, Ilse C. F.) Inclusion regions for matrix eigenvalues.(English summary) 2003m:15043

Benner, Peter (withMehrmann, Volker; Xu, Hongguo) Perturbation analysis for theeigenvalue problem of a formal product of matrices. (English summary) 2003b:93042

(with Byers, Ralph; Mehrmann, Volker; Xu, Hongguo) Numerical computation ofdeflating subspaces of skew-Hamiltonian/Hamiltonianpencils. (English summary)2003f:49068

Berry, Michael W. see Fierro, Ricardo D., (2003g:00026)Brandt, Achi see Livne, Oren E., 2003m:65076

Brattka, Vasco see Ziegler, Martin1, 2003c:03121

Byers, Ralph see Benner, Peter et al., 2003f:49068Cao, Zhi-Hao Convergence of block two-stage iterativemethods for symmetric positivedefinite systems. (English summary) 2003a:65029

Chizhonkov,E. V. On a solution of a Stokes-type algebraic system under block-diagonalpreconditioning. (Russian. Russian summary) 2003h:65035

Chu,Moody T. (with Funderlic, Robert E.) The centroid decomposition: relationshipsbetween discrete variational decompositions and SVDs. (English summary) 2003f:62078


Dedieu, Jean-Pierre (with Tisseur, Francoise) Perturbation theory for homogeneouspolynomial eigenvalue problems. (English summary) 2003m:15018

Drmac, Zlatko see Arbenz, Peter, 2003g:65034Duszczyk, Bernard (with Newell, Michael P.; Sugden, Stephen J.) Numerical methodsfor solving the eigenvalue problem for a positive branch confocal unstable resonator.(English summary)

Engwerda, Jacob C. Solving the scalar feedback Nash algebraic Riccati equations: aneigenvector approach. (English summary) 2003f:49081


(with Berry, Michael W.) Efficient computation of the Riemannian SVD in total leastsquares problems in information retrieval. (English summary) (see 2003g:00026)

Fortune, Steven An iterated eigenvalue algorithm for approximating roots of univariatepolynomials. (English summary) 2003e:13039

Freiling, Gerhard (withMehrmann, Volker; Xu, Hongguo) Existence, uniqueness, andparametrization of Lagrangian invariant subspaces. (English summary) 2003f:93039

Funderlic, Robert E. see Chu,Moody T., 2003f:62078Genton, Marc G. see Gorsich, David J. et al., 2003a:62068Godunov, S. K. (with Nechepurenko, Yu. M.) Estimates for the rate of convergence ofNewton’s method for computing invariant subspaces. (Russian. Russian summary)2003h:15018

Gorsich, David J. (with Genton, Marc G.; Strang, Gilbert) Eigenstructures of spatialdesign matrices. (English summary) 2003a:62068

Grammont, Laurence (with Largillier, Alain) On ε-spectra and stability radii. (Englishsummary) 2003k:15006

Guo, Hongbin IRR: an algorithm for computing the smallest singular value of large scalematrices. (English summary) 2003c:15012

Guyker, James Approximating eigenvectors. (English summary) 2003g:15012Hernandez Veron, Miguel A. (with Rubio, M. Jesus) A uniparametric family of iterativeprocesses for solving nondifferentiable equations. (English summary) 2003i:47077

Higham, Nicholas J. (with Tisseur, Francoise) More on pseudospectra for polynomialeigenvalue problems and applications in control theory. (English summary) 2003e:93035(with Tisseur, Francoise) Bounds for eigenvalues of matrix polynomials. (Englishsummary) 2003k:15020

Hiptmair, R. (with Neymeyr, Klaus) Multilevelmethod for mixed eigenproblems. (Englishsummary) 2003h:65152

Huhtanen,Marko Orthogonal polyanalytic polynomials and normal matrices. (Englishsummary) 2003f:42037

Ikramov, Khakim D. (with Nazari, A. M.) A remarkable consequence of Malyshev’sformula. (Russian)

Ipsen, Ilse C. F. A note on unifying absolute and relative perturbation bounds. (Englishsummary) 2003m:15044see also Beattie, ChristopherA., 2003m:15043

Karaivanova, Aneta seeMascagni,Michael, (2003i:65006)Kaufman, Linda Band reduction algorithms revisited. (English summary) 2003f:65043Komzsik, Louis The Lanczos method. 2003m:65004

Largillier, Alain see Ahues, Mario et al., 2003e:47039 and Grammont, Laurence,2003k:15006

Li, Ren-Cang see Truhar, Ninoslav, 2003k:15022Liang, Jinming (with Zhang, Yi1) Eigensubspace estimation using discrete recurrent neuralnetworks. (English and Chinese summaries)

Limaye, Balmohan V. see Ahues,Mario et al., 2003e:47039Liu, Wei Jiang The second equivalence theorem of an eigenvalue method for solving sparsepolynomial equations. (Chinese. English and Chinese summaries)

Livne, Oren E. (with Brandt, Achi) N roots of the secular equation in O(N ) operations.(English summary) 2003m:65076

Mascagni,Michael (with Karaivanova, Aneta) A parallel quasi-Monte Carlo method forcomputing extremal eigenvalues. (English summary) (see 2003i:65006)

Mehrmann, Volker see Benner, Peter et al., 2003b:93042; 2003f:49068 and Freiling, Gerhard

et al., 2003f:93039Nazari, A. M. see Ikramov, Khakim D.

Nechepurenko, Yu. M. see Godunov, S. K., 2003h:15018Newell, Michael P. see Duszczyk, Bernard et al.Neymeyr, Klaus A posteriori error estimation for elliptic eigenproblems. (Englishsummary) 2003c:65111see also Hiptmair, R., 2003h:65152

(Parlett, Beresford N.) see Special Issue: Accurate solution of eigenvalue problems

Pato, M. P. Level repulsion and the dynamical diagonalization of matrices. (Englishsummary) 2003i:82070

Przybylska, Maria On matrix differential equations and abstract FG algorithm. (Englishsummary) 2003a:34011

Rubio, M. Jesus see HernandezVeron, Miguel A., 2003i:47077Shashikhin, V. N. Robust stabilization of linear interval systems. (Russian. Russiansummary) 2003i:93075

Shen, Guang Xing Fast algorithms for the products and eigenvalues of mn-order (R, r)-block circulantmatrices. (Chinese. English and Chinese summaries) 2003f:15002

Stewart, G. W. A Krylov-Schur algorithm for large eigenproblems. (English summary)2003b:15019

Strang, Gilbert see Gorsich, David J. et al., 2003a:62068Sugden, Stephen J. see Duszczyk, Bernard et al.

Tan, Roger C. E. seeAndrew, Alan L., 2003c:15009Tisseur, Francoise see Higham, Nicholas J., 2003e:93035; 2003k:15020 and Dedieu, Jean-

Pierre, 2003m:15018Truhar, Ninoslav (with Li, Ren-Cang) A sin 2Θ theorem for graded indefinite Hermitianmatrices. (English summary) 2003k:15022

(Veselic, Kresimir) see Special Issue: Accurate solution of eigenvalue problems

Willoughby, Ralph A. seeCullum, Jane K., 2003i:65003Xu, Hongguo see Benner, Peter et al., 2003b:93042; 2003f:49068and Freiling, Gerhard et al.,

2003f:93039

Zhang, Yi1 see Liang, JinmingZiegler, Martin1 (with Brattka, Vasco) A computable spectral theorem. (Englishsummary) 2003c:03121

Zworski, Maciej Numerical linear algebra and solvability of partial differential equations.2003i:35008


Hagen Special issue on accurate solution of eigenvalue problems.Special Issue:

Accurate solution of eigenvalue problems Special issue on accurate solution ofeigenvalue problems.


65F18 Inverse eigenvalue problems

Diele, F. (with Sgura, Ivonne) The Cayley method and the inverse eigenvalue problem forToeplitz matrices. (English summary) 2003e:65059

Hu, Xi Yan see Xie, Dong Xiu et al., 2003g:65053 and Zhou, Fu Zhao et al.

Li, Zhen Zhu Inverse eigenvalue problem for a kind of Jacobian matrix. (Chinese. Englishsummary) 2003m:65058

Mao, Ai Min see Xiao, Qing Feng

Serdyukova, S. I. Inverse problem for the two-dimensional discrete Schrodinger equation.(English summary) 2003a:65035

Sgura, Ivonne see Diele, F., 2003e:65059Xiao, Qing Feng (withMao, Ai Min) Solvability conditions for the inverse problem of D-symmetric nonnegative definite matrices. (Chinese. English and Chinese summaries)

Xie, Dong Xiu (with Hu, Xi Yan; Zhang, Lei1) The solvability conditions for inverseeigenvalue problem of anti-bisymmetricmatrices. (English summary) 2003g:65053

Zhang, Lei1 see Xie, Dong Xiu et al., 2003g:65053Zhang, Zhong Zhi see Zhou, Fu Zhao et al.

Zhou, Fu Zhao (with Zhang, Zhong Zhi; Hu, Xi Yan) Least-squares solution of inverseeigenvalue problems for anti-skew-symmetricmatrices on a linear manifold. (Chinese.English and Chinese summaries)


Andrew, Alan L. (with Tan, Roger C. E.) Iterative computation of higher derivativesof repeated eigenvalues and the corresponding eigenvectors. (English summary)2003c:15009

Bai, Zhong Zhi see Liao, An Ping, 2003d:15027Castillo,Maribel (with Quintana-Ortı, Enrique S.; Quintana-Ortı, Gregorio; Hernandez,Vicente) Parallel pole assignment of single-input systems. (English summary)2003f:93043

Chen, Ya Bo (with Peng, Zhen Yun) Centrosymmetric solutions of the general inverseeigenvalue problem AX = BXΛ and its optimal approximation. (Chinese. English andChinese summaries)

Chu,De Lin (with Ho, Daniel W. C.) A new algorithm for an eigenvalue assignmentproblem from singular control theory. (English summary) 2003m:93035

Dai, Hua The solvability conditions for inverse problems of symmetric orthogonal anti-symmetric matrices. (Chinese. English and Chinese summaries) 2003m:15035

Datta, Biswa N. (with Sarkissian, Daniil R.) Theory and computations of some inverseeigenvalue problems for the quadratic pencil. (English summary) 2003c:93043

Elhay, Sylvan (with Ram, Yitshak M.) An affine inverse eigenvalue problem. (Englishsummary) 2003c:34013

Ghanbari, Kazem (withMingarelli, Angelo B.) Generalized inverse eigenvalue problem forsymmetric matrices. (English summary) 2003h:15017

Hernandez,Vicente see Castillo,Maribel et al., 2003f:93043Ho, Daniel W. C. see Chu, De Lin, 2003m:93035Kautsky, J. see Nichols, N. K., 2003a:93036Liao, An Ping (with Bai, Zhong Zhi) Construction of positive definite Jacobian matricesfrom two eigenpairs. (English summary) 2003d:15027

Mingarelli, Angelo B. see Ghanbari, Kazem, 2003h:15017Nichols, N. K. (with Kautsky, J.) Robust eigenstructure assignment in quadratic matrixpolynomials: nonsingular case. (English summary) 2003a:93036

Peng, Zhen Yun see Chen, Ya Bo

Quintana-Ortı, Enrique S. see Castillo, Maribel et al., 2003f:93043Quintana-Ortı,Gregorio see Castillo, Maribel et al., 2003f:93043Ram, Yitshak M. see Elhay, Sylvan, 2003c:34013Sarkissian, Daniil R. see Datta, Biswa N., 2003c:93043Tan, Roger C. E. see Andrew, Alan L., 2003c:15009

65F20 Overdetermined systems, pseudoinverses

Baryamureeba, Venansius On solving large-scale weighted least squares problems. (Englishsummary) (see 2003e:65003)

Butcher, J. C. (with Chan, T. M. H.) A new approach to the algebraic structures forintegration methods. (English summary) 2003h:65054

Cai, Jing (with Zhu, Chao; Chen, Guo Liang1) Perturbation theory for the α-2generalized inverse and its application. (Chinese. English and Chinese summaries)2003f:65067

Chan, T. M. H. see Butcher, J. C., 2003h:65054Chen, Guo Liang1 (with Liu, Guo-ming; Xue, Yi-Feng) Perturbation theory for thegeneralized Bott-Duffin inverse and its applications. (English summary) 2003g:65054see also Cai, Jing et al., 2003f:65067andWei, Zhen-xue, 2003g:65055

Chen, Yong Lin A note on Neumann-type expansion and hyperpower iteration. (Chinese.English and Chinese summaries)

Elden, Lars Solving quadratically constrained least squares problems using a differential-geometric approach. (English summary) 2003d:65034

Fan, Jin Yan see Yan, Shi Jian2, 2003f:65071Fierro, Ricardo D. (with Hansen, Per Christian) Recent developments in rank revealingand Lanczos methods for TLS-related problems. (English summary) (see 2003g:00026)

Guo, Hongbin (with Renaut, Rosemary A.) A regularized total least squares algorithm.(English summary) (see 2003g:00026)

Hansen, Per Christian see Fierro, Ricardo D., (2003g:00026)Hu, Xi Yan see Zhang, Zhong Zhi et al., 2003h:65055Ikramov, Khakim D. (withMatin far, M.) Rank-one modifications and the recalculation ofpseudo-inverse matrices. (Russian. Russian summary) 2003k:65040

Ji, Jun A finite algorithm for the Drazin inverse of a polynomial matrix. (Englishsummary) 2003f:65068

Koliha, J. J. Error bounds for a general perturbation of the Drazin inverse. (Englishsummary) 2003a:65036

Lemmerling, Philippe (with Van Huffel, Sabine) Structured total least squares. Analysis,algorithms and applications. (English summary) (see 2003g:00026)see alsoMastronardi, Nicola et al., (2003g:00026)

Li, Xiao-Rong see Zhou, Jie2 et al., 2003e:65062Liu, Guo-ming see Chen, Guo Liang1 et al., 2003g:65054Luo, Wu An A necessary and sufficient condition for the solvability of general total leastsquares problems. (Chinese. English and Chinese summaries)

Mastronardi, Nicola (with Lemmerling, Philippe; Van Huffel, Sabine) Fast structuredtotal least squares algorithms via exploitation of the displacement structure. (Englishsummary) (see 2003g:00026)

Matin far, M. see Ikramov, Khakim D., 2003k:65040Paige, ChristopherC. (with Strakos, Zdenek) Unifying least squares, total least squaresand data least squares. (English summary) (see 2003g:00026)(with Strakos, Zdenek) Bounds for the least squares residual using scaled total leastsquares. (English summary) (see 2003g:00026)(with Strakos, Zdenek) Bounds for the least squares distance using scaled total leastsquares. (English summary) 2003e:65061(with Strakos, Zdenek) Scaled total least squares fundamentals. (English summary)2003e:65060

Panova, N. V. A regularized recurrent least-squares algorithm with a changing regulariza-tion parameter. (Russian. English, Russian and Ukrainian summaries) 2003b:65038

Popa, Constantin Modified Kovarik algorithm for approximate orthogonalization ofarbitrary matrices. (English summary)

Premoli, Amedeo (with Rastello, Maria Luisa) The parametric quadratic formmethod forsolving TLS problems with elementwise weighting. (English summary) (see 2003g:00026)

Rastello, Maria Luisa see Premoli, Amedeo, (2003g:00026)Renaut, Rosemary A. see Guo, Hongbin, (2003g:00026)Stanimirovic, Predrag S. (with Tasic, Milan B.) A problem in computation of pseudoin-verses. (English summary) 2003j:65037

Strakos, Zdenek see Paige, ChristopherC., 2003e:65060;2003e:65061; (2003g:00026) and(2003g:00026)

Tasic, Milan B. see Stanimirovic, Predrag S., 2003j:65037Van Huffel, Sabine see Lemmerling, Philippe, (2003g:00026)andMastronardi, Nicola et al.,(2003g:00026)

Wang, Guo Rong1 seeWei, Yi-Min, 2003i:65037Wang, Yuncheng (with Yu, Yanmei) An approximation algorithm for finding a minimaxsolution of an overdetermined system of linear equations. (English and Chinesesummaries)

Wei, Mu Sheng (with Zhu, Chao) On the total least squares problem. (Chinese. Englishsummary)

Wei, Yi-Min (withWu, Hebing) (T, S) splitting methods for computing the generalizedinverseA(2)T,S and rectangular systems. (English summary) 2003f:65069

(withWang, Guo Rong1) PCR algorithm for parallel computing minimum-norm(T ) least-squares (S) solution of inconsistent linear equations. (English summary)2003i:65037

Wei, Zhen-xue (with Chen, Guo Liang1) The definition and computing methods ofweighted α-2 generalized inverse. (English and Chinese summaries) 2003g:65055

Wu, Hebing seeWei, Yi-Min, 2003f:65069Wu, Xin Yuan (with Xia, Jian Lin; Yang, Fan) A dynamic method for weighted linear leastsquares problems. (English summary) 2003f:65070

Xia, Jian Lin seeWu, Xin Yuan et al., 2003f:65070Xue, Yi-Feng see Chen, Guo Liang1 et al., 2003g:65054Yan, Shi Jian2 (with Fan, Jin Yan) The solution set of the mixed LS-TLS problem.(English summary) 2003f:65071

Yang, Fan seeWu, Xin Yuan et al., 2003f:65070Yi, Xue Jun (with Zhang, Zhong Zhi; Zhou, Fu Zhao) Least-squares solutions of inverseproblems forD-symmetric matrices on a linear manifold. (Chinese. English and Chinesesummaries)

You, Zhisheng see Zhou, Jie2 et al., 2003e:65062Yu, Yanmei seeWang, Yuncheng

Zhang, Zhong Zhi (with Zhou, Fu Zhao; Hu, Xi Yan) Least-squares solutions of inverseproblems forD-antisymmetric matrices on linear manifolds. (Chinese. English andChinese summaries) 2003h:65055

see also Yi, Xue Jun et al.Zhou, Fu Zhao see Zhang, Zhong Zhi et al., 2003h:65055 and Yi, Xue Jun et al.

Zhou, Jie2 (with Zhu, Yun Min; Li, Xiao-Rong; You, Zhisheng) Variants of theGreville formula with applications to exact recursive least squares. (English summary)2003e:65062

Zhu, Chao see Cai, Jing et al., 2003f:65067 andWei, Mu ShengZhu, Yun Min see Zhou, Jie2 et al., 2003e:65062

Items with secondary classifications in 65F20Basilio, J. C. Inversion of polynomial matrices via state-space. (English summary)

2003h:15007Bose, Nirmal K. see Ng, Michael K. et al., (2003g:00026)Castro Gonzalez, Nieves (with Koliha, J. J.; Wei, Yi-Min) Integral representation of theDrazin inverse. (English summary) 2003f:15008

Chen, Guo Liang1 see Xue, Yi-Feng, 2003f:15011Cirrincione, Giansalvo TLS and constrained TLS neural networks for computer vision.(English summary) (see 2003g:00026)

Ding, Jiu Minimal distance upper bounds for the perturbation of least squares problems inHilbert spaces. (English summary) 2003a:47025

Evans, David John1 (with Popa, Constantin) Projections and preconditioning forinconsistent least-squares problems. (English summary) 2003e:65040

see also Li, Changjun1, 2003d:65025Fan, Yuan-An (with Kalaba, R. E.) Dynamic programming and pseudo-inverses. (Englishsummary) 2003i:90106

Gao, Jing seeWang, Guo Rong1, 2003e:15009Groetsch, C. W. Dykstra’s algorithm and a representation of the Moore-Penrose inverse.(English summary) 2003h:65073

Gulliksson, Marten (with Jin, Xiao-Qing; Wei, Yi-Min) Perturbation bounds forconstrained and weighted least squares problems. (English summary) 2003d:15006

Heinig, Georg see Van Barel, Marc et al., (2003e:65003)


Hu, Xi Yan see Xie, Dong Xiu et al.

Jin, Xiao-Qing see Gulliksson, Marten et al., 2003d:15006Kalaba, R. E. see Fan, Yuan-An,2003i:90106Kampke, Thomas The geometry of linear infeasibility. (English summary) 2003c:90056

Kanevsky, Yuliya see Sidi, Avram, 2003k:15004Koliha, J. J. seeCastro Gonzalez, Nieves et al., 2003f:15008Koo, Jaehoon see Ng, Michael K. et al., (2003g:00026)Kravanja, Peter see Van Barel, Marc et al., (2003e:65003)(Lemmerling, Philippe) see Total least squares and errors-in-variablesmodeling, 2003g:00026Li, Changjun1 (with Evans, David John1) Preconditioned conjugate gradientmethod andgeneralized successive overrelaxationmethod for the least squares problems. (Englishsummary) 2003d:65025

Li, Xiezhang (withWei, Yi-Min) A note on computing the generalized inverseA(2)T,S of amatrix A. (English summary) 2003j:15003(withWei, Yi-Min) A note on the perturbation bound of the Drazin inverse. (Englishsummary) 2003k:15001

Ng, Michael K. (with Bose, Nirmal K.; Koo, Jaehoon) Constrained total least squares forcolor image reconstruction. (English summary) (see 2003g:00026)

Popa, Constantin see Evans, David John1, 2003e:65040Qiao, Sanzheng seeWei, Yi-Min, 2003j:47001Rojas,Marielba (with Steihaug, Trond) An interior-point trust-region-basedmethod forlarge-scale non-negative regularization. (English summary) 2003k:90097

Sheng, Yan Ping see Xie, Dong Xiu et al.

Sidi, Avram (with Kanevsky, Yuliya) Orthogonal polynomials and semi-iterativemethods for the Drazin-inverse solution of singular linear systems. (English summary)2003k:15004

Stanimirovic, Predrag S. (with Tasic, Milan B.) Computing determinantal representationof generalized inverses. (English summary) 2003a:15004

Steihaug,Trond see Rojas,Marielba, 2003k:90097Tasic, Milan B. see Stanimirovic, Predrag S., 2003a:15004Van Barel, Marc (with Heinig, Georg; Kravanja, Peter) An algorithm based on orthogonalpolynomial vectors for Toeplitz least squares problems. (English summary) (see2003e:65003)

(Van Huffel, Sabine) see Total least squares and errors-in-variablesmodeling, 2003g:00026Varga, Andras Computing generalized inverse systems using matrix pencil methods.(English summary) 2003a:93023

Wang,Guo Rong1 (with Gao, Jing) Minors of the generalized inverse A(2)T,S . (Chinese.English summary) 2003e:15009

Watson, G. Alistair Robust solutions to linear approximation problems under ellipsoidaluncertainty. (English summary) (see 2003g:00026)

Wei, Yi-Min (with Qiao, Sanzheng) The representation and approximation of the Drazininverse of a linear operator in Hilbert space. (English summary) 2003j:47001see also Gulliksson, Marten et al., 2003d:15006;Castro Gonzalez, Nieves et al.,2003f:15008;Li, Xiezhang, 2003j:15003 and 2003k:15001

Xiao, Tong see Zhang, Jun2, 2003m:65045Xie, Dong Xiu (with Sheng, Yan Ping; Hu, Xi Yan) The least-squares solutions ofinconsistent matrix equation over symmetric and antipersymmetric matrices. (Englishsummary)

Xue, Yi-Feng (with Chen, Guo Liang1) The expression of the generalized Bott-Duffininverse and its perturbation theory. (English summary) 2003f:15011

Zhang, Jun2 (with Xiao, Tong) A multilevel block incomplete Cholesky preconditionerfor solving normal equations in linear least squares problems. (English summary)2003m:65045

Zhao,Huan Xi (with Zhu, Gong Qin) Convergence of a class of matrix continued fractionsbased on the generalized inverse. (Chinese. English and Chinese summaries) 2003i:40002

Zhu, Gong Qin see Zhao, Huan Xi, 2003i:40002


Leuven Total least squares and errors-in-variables modeling. 2003g:00026Total least squares and errors-in-variables modeling Total least squares and errors-in-variables modeling. 2003g:00026

Workshop:

TLS and EIV Modeling Total least squares and errors-in-variables modeling.2003g:00026

65F22 Ill-posedness, regularization

Bai, Zhong Zhi (with Zhang, Shao Liang) A regularized conjugate gradient method forsymmetric positive definite system of linear equations. (English summary) 2003h:65056

Belge, Murat (with Kilmer, Misha E.; Miller, Eric L.) Efficient determination of multipleregularization parameters in a generalized L-curve framework. (English summary)2003i:65038

Blomgren, Peter (with Chan, Tony F.) Modular solvers for image restoration problemsusing the discrepancy principle. (English summary) 2003g:65056

Calvetti, Daniela (with Lewis, Bryan; Reichel, Lothar) On the choice of subspace foriterativemethods for linear discrete ill-posed problems. (English summary) 2003b:65039(with Hansen, Per Christian; Reichel, Lothar) L-curve curvature bounds via Lanczosbidiagonalization. (English summary) 2003i:65039

(with Reichel, Lothar) Lanczos-based exponential filtering for discrete ill-posedproblems. (English summary) 2003e:65063

(with Reichel, Lothar; Shuibi, A.) Enriched Krylov subspace methods for ill-posedproblems. (English summary) 2003m:65059

Chan, Tony F. see Blomgren, Peter, 2003g:65056Fujiwara, Hiroshi see Iso, Yuusuke et al., 2003f:65073Gulrajani, Ramesh M. see Johnston, Peter R., 2003m:65060

Hansen, Per Christian Deconvolution and regularizationwith Toeplitz matrices. (Englishsummary) 2003f:65072see also Calvetti, Daniela et al., 2003i:65039

Iso, Yuusuke (with Fujiwara, Hiroshi; Saito, Kimihiro) Numerical computations for ill-conditioned problems by multiple-precision systems. (English summary) 2003f:65073

Johnston, Peter R. (with Gulrajani, Ramesh M.) An analysis of the zero-crossing methodfor choosing regularization parameters. (English summary) 2003m:65060

Kilmer, Misha E. see Belge, Murat et al., 2003i:65038Kliman, J. seeMorhac, M. et al., 2003j:65038Lewis, Bryan see Calvetti, Daniela et al., 2003b:65039Matousek, Vladislav seeMorhac,M. et al., 2003j:65038Miller, Eric L. see Belge, Murat et al., 2003i:65038Morhac, M. (withMatousek, Vladislav; Kliman, J.) Optimized multidimensionalnonoscillating deconvolution. (English summary) 2003j:65038

Reichel, Lothar see Calvetti, Daniela et al., 2003b:65039; 2003e:65063; 2003i:65039 and2003m:65059

Saito, Kimihiro see Iso, Yuusuke et al., 2003f:65073Shao, Rong seeWu, Xin Yuan et al., 2003h:65057 and 2003j:65039

Shuibi, A. see Calvetti, Daniela et al., 2003m:65059Wang, Yan-fei (with Yuan, Ya Xiang; Zhang, Hongchao) A trust region-CG algorithmfor deblurring problem in atmospheric image reconstruction. (English summary)2003g:65057

Wu, Xin Yuan (with Shao, Rong; Xue, Guo-he) Iterative refinement of solution withbiparameter for solving ill-conditioned systems of linear algebraic equations. (Englishsummary) 2003h:65057

(with Shao, Rong; Zhu, Yiran) New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamic system. (Englishsummary) 2003j:65039

Xue, Guo-he seeWu, Xin Yuan et al., 2003h:65057Yuan, Ya Xiang seeWang, Yan-fei et al., 2003g:65057Zhang, Hongchao seeWang, Yan-fei et al., 2003g:65057Zhang, Shao Liang see Bai, Zhong Zhi, 2003h:65056Zhu, Yiran seeWu, Xin Yuan et al., 2003j:65039


Axelsson, Owe (with Farago, Istvan; Karatson, Janos) Sobolev space preconditioning forNewton’s method using domain decomposition. (English summary) 2003j:65025

Berryman, James G. Analysis of approximate inverses in tomography. II. Iterative inverses.(English summary) 2003i:65051b

Bose, Nirmal K. see Ng, Michael K. et al., (2003g:00026)Calvetti, Daniela (with Lewis, Bryan; Reichel, Lothar) GMRES, L-curves, and discrete ill-posed problems. (English summary) 2003e:65037

(with Lewis, Bryan; Reichel, Lothar) On the regularizing properties of the GMRESmethod. (English summary) 2003f:65050

Chandrasekaran, Shivkumar (with Schubert, Keith) Models for robust estimation andidentification. (English summary) (see 2003g:00026)

Coyle, Joe see Tacchino,Andrea et al., 2003e:35317De Roeck, Yann-Herve Sparse linear algebra and geophysical migration: a review of directand iterativemethods. (English summary) 2003f:86010

Farago, Istvan see Axelsson, Owe et al., 2003j:65025Finogenov, S. A. see Lebedev, V. I., 2003j:65029Fischer, Bernd1 (withModersitzki, Jan) Fast diffusion registration. (English summary)

2003k:68118

Formiconi, A. see Loli Piccolomini, Elena et al., 2003h:65077Gribok, A. V. see Urmanov, A. M. et al., 2003k:62010Guo, Hongbin (with Renaut, Rosemary A.) A regularized total least squares algorithm.(English summary) (see 2003g:00026)

Hines, J. W. see Urmanov, A. M. et al., 2003k:62010Honma, Chieko (with Saleem,Mohammad2) Approximate inverse preconditioners for theconjugate gradient method. (English summary) 2003b:65029

Karatson, Janos see Axelsson, Owe et al., 2003j:65025Koo, Jaehoon see Ng, Michael K. et al., (2003g:00026)Lebedev, V. I. (with Finogenov, S. A.) On construction of the stable permutations ofparameters for the Chebyshev iterativemethods. I. (English summary) 2003j:65029

Lewis, Bryan see Calvetti, Daniela et al., 2003e:65037 and 2003f:65050Loli Piccolomini, Elena (with Zama, F.; Zanghirati, G.; Formiconi, A.) Regularizationmethods in dynamic MRI. (English summary) 2003h:65077

Modersitzki, Jan see Fischer, Bernd1, 2003k:68118Ng, Michael K. (with Bose, Nirmal K.; Koo, Jaehoon) Constrained total least squares forcolor image reconstruction. (English summary) (see 2003g:00026)

Noor, MuhammadAslam Proximal methods for mixed variational inequalities. (Englishsummary) 2003k:49024

Proximal methods for mixed quasivariational inequalities. (English summary)2003k:49025

Nordtvedt, J.-E. see Subbey, Sam, 2003h:65044O’Leary, Dianne P. Near-optimal parameters for Tikhonov and other regularizationmethods. (English summary) 2003e:65099

Piana, Michele see Tacchino, Andrea et al., 2003e:35317Reichel, Lothar see Calvetti, Daniela et al., 2003e:65037and 2003f:65050

Renaut, Rosemary A. see Guo, Hongbin, (2003g:00026)Rojas, Marielba (with Steihaug, Trond) An interior-point trust-region-basedmethod forlarge-scale non-negative regularization. (English summary) 2003k:90097

Saleem, Mohammad2 see Honma, Chieko, 2003b:65029Schubert, Keith see Chandrasekaran, Shivkumar, (2003g:00026)Steihaug, Trond see Rojas,Marielba, 2003k:90097Subbey, Sam (with Nordtvedt, J.-E.) Capillary pressure curves from centrifuge data: asemi-iterative approach. (English summary) 2003h:65044

Tacchino, Andrea (with Coyle, Joe; Piana, Michele) Numerical validation of the linearsampling method. (English summary) 2003e:35317

Uhrig, R. E. see Urmanov, A. M. et al., 2003k:62010Urmanov, A. M. (with Gribok, A. V.; Hines, J. W.; Uhrig, R. E.) An information approachto regularization parameter selection under model misspecification. (English summary)2003k:62010

Zama, F. see Loli Piccolomini, Elena et al., 2003h:65077Zanghirati, G. see Loli Piccolomini, Elena et al., 2003h:65077


65F25 Orthogonalization

Barlow, Jesse L. see Erbay, Hasan et al., 2003m:65061

Bischof, Christian H. (with Lang, Bruno; Sun, Xiaobai) A framework for symmetric bandreduction. (English summary) 2003g:65058

Bjorck, Ake QR factorization of the Jacobian in some structured nonlinear least squaresproblems. (English summary) (see 2003g:00026)

De Moor, Bart see Lemmerling, Philippe et al., 2003c:65032Dunn, Ian N. (withMeyer, Gerard G. L.) QR factorization for shared memory andmessage passing. (English summary)

Eldar, Yonina C. Least-squares inner product shaping. (English summary) 2003f:65074

Erbay, Hasan (with Barlow, Jesse L.; Zhang, Zhen Yue) A modified Gram-Schmidt-baseddowndating technique for ULV decompositions with applications to recursive TLSproblems. (English summary) 2003m:65061

Fasino, Dario (with Gemignani, Luca) A Lanczos-type algorithm for the QR factorizationof regular Cauchy matrices. (English summary) 2003d:65035

Fierro, Ricardo D. (with Hansen, Per Christian) Truncated VSV solutions to symmetricrank-deficient problems. (English summary) 2003k:65041

Gemignani, Luca see Fasino, Dario, 2003d:65035Giraud, L. (with Langou, J.) When modified Gram-Schmidt generates a well-conditionedset of vectors. (English summary) 2003j:65040

Hansen, Per Christian see Fierro, Ricardo D., 2003k:65041Heinig, Georg see Van Barel, Marc et al., (2003e:65003)Jia, Zhong Xiao see Yan, Qing You, 2003c:65033Kontoghiorghes,Erricos John Greedy Givens algorithms for computing the rank-kupdating of the QR decomposition. (English summary) 2003h:65058

Kravanja, Peter see Van Barel, Marc et al., (2003e:65003)Lang, Bruno see Bischof, ChristianH. et al., 2003g:65058Langou, J. see Giraud, L., 2003j:65040Lee, Heow Pueh see Liang, Yan Chun et al., 2003e:65064Lee, Kwok-Hong see Liang, Yan Chun et al., 2003e:65064Lemmerling, Philippe (with Van Huffel, Sabine; De Moor, Bart) The structured total least-squares approach for non-linearly structured matrices. (English summary) 2003c:65032

Liang, Yan Chun (with Lee, Heow Pueh; Lim, Siak Piang; Lin, Wuzhong1; Lee, Kwok-Hong; Wu, Chun Guo) Proper orthogonal decomposition and its applications. I.Theory. (English summary) 2003e:65064

Lim, Siak Piang see Liang, Yan Chun et al., 2003e:65064Lin, Wuzhong1 see Liang, Yan Chun et al., 2003e:65064Meyer, Gerard G. L. see Dunn, Ian N.Popa, Constantin A method for improving orthogonality of rows and columns of matrices.(English summary) 2003e:65065

Stathopoulos,Andreas (withWu, Kesheng) A block orthogonalization procedure withconstant synchronization requirements. (English summary) 2003h:65059

Sun, Xiaobai see Bischof, Christian H. et al., 2003g:65058Van Barel, Marc (with Heinig, Georg; Kravanja, Peter) An algorithm based on orthogonalpolynomial vectors for Toeplitz least squares problems. (English summary) (see2003e:65003)

Van Huffel, Sabine see Lemmerling, Philippe et al., 2003c:65032Wu, Chun Guo see Liang, Yan Chun et al., 2003e:65064Wu, Kesheng see Stathopoulos,Andreas, 2003h:65059Yan,Qing You (with Jia, Zhong Xiao) The algorithm of special symplecticHouseholdertransformations and symplectic Givens transformations. (Chinese. English and Chinesesummaries) 2003c:65033

Zhang, Zhen Yue see Erbay, Hasan et al., 2003m:65061

Items with secondary classifications in 65F25Barlow, Jesse L. More accurate bidiagonal reduction for computing the singular valuedecomposition. (English summary) 2003b:65035

Bentbib, A. H. Solving the full rank interval least squares problem. (English summary)2003e:65075

Bischof, Christian H. (with Lang, Bruno; Sun, Xiaobai) Algorithm 807: the SBRtoolbox—software for successive band reduction. (English summary)


Gulliksson, Marten (with Jin, Xiao-Qing; Wei, Yi-Min) Perturbation bounds forconstrained and weighted least squares problems. (English summary) 2003d:15006

Jin, Xiao-Qing see Gulliksson, Marten et al., 2003d:15006Lang, Bruno see Bischof, ChristianH. et al.

Li, Xiaoye S. see Gilbert, John Russell et al., 2003h:65061Ng, E. G. see Gilbert, John Russell et al., 2003h:65061Peyton, B. W. see Gilbert, John Russell et al., 2003h:65061Sun, Xiaobai see Bischof, Christian H. et al.

Tuniev, Albert Generalized transformation of Gauss and Gram-Schmidt, and firstapplications. (English summary) 2003a:90028

Watson, G. Alistair On the Gauss-Newton method for l1 orthogonal distance regression.(English summary) 2003d:65010

Wei, Yi-Min see Gulliksson, Marten et al., 2003d:15006

65F30 Other matrix algorithms

Al-Homidan, Suliman S. Toeplitz matrix approximation. (English summary) 2003b:65040Argentati,Merico E. see Knyazev, Andreı Vladimirovich, 2003h:65060Byrne, Charles Iterative oblique projection onto convex sets and the split feasibilityproblem. (English summary) 2003g:65059

Emiris, Ioannis Z. (with Pan, Victor Y.) Symbolic and numeric methods for exploitingstructure in constructing resultant matrices. (English summary) 2003g:65060

Esmaeili, Hamid (withMahdavi-Amiri, Nezam; Spedicato, Emilio) A class of ABSalgorithms for Diophantine linear systems. (English summary) 2003b:65041


Gavrilyuk, Ivan P. (with Hackbusch, Wolfgang;Khoromskiı, B. N.) H -matrix approxima-tion for the operator exponential with applications. (English summary) 2003g:65061

Gonzalez Manteiga,Ma. Teresa Can one use DERIVE to compute the exponential of amatrix? (Spanish. Spanish summary)

Hackbusch, Wolfgang see Gavrilyuk, Ivan P. et al., 2003g:65061Heinig, Georg Fast and superfast algorithms for Hankel-like matrices related to orthogonalpolynomials. (English summary) (see 2003e:65003)

Higham, Nicholas J. Computing the nearest correlation matrix—a problem from finance.(English summary) 2003d:65037

Khoromskiı, B. N. see Gavrilyuk, Ivan P. et al., 2003g:65061Knyazev, Andreı Vladimirovich (with Argentati, Merico E.) Principal angles betweensubspaces in anA-based scalar product: algorithms and perturbation estimates. (Englishsummary) 2003h:65060

Kohaupt,Ludwig Numerical operational calculus for matrices with applications tomechanical and mathematical problems. (English summary) 2003f:65075

Krivoı, S. L. On a method for determining the compatibility of systems of linear equationsand its properties. (Russian. Russian summary) (see 2003e:00027)

Li, Keqin Fast and scalable parallel algorithms for matrix chain product and matrix powerson reconfigurable pipelined optical buses. (English summary) 2003m:65062

Lin, Hai Ming A calculational formula for fundamental solution matrix eAt. (Chinese.English and Chinese summaries)

Mahdavi-Amiri, Nezam see Esmaeili, Hamid et al., 2003b:65041Munthe-Kaas,Hans Z. see Zanna, Antonella, 2003e:65066Pan, VictorY. see Emiris, IoannisZ., 2003g:65060Sal′nıkova, Natalıya G. see Voloshin, A. F.

Soltys, Michael Berkowitz’s algorithm and clow sequences. (English summary)2003d:65038

Spedicato,Emilio see Esmaeili, Hamid et al., 2003b:65041Stykel, Tatjana Numerical solution and perturbation theory for generalized Lyapunovequations. (English summary) 2003b:65042

Voloshin, A. F. (with Sal′nıkova, NatalıyaG.) The method of linear-quadratic localizationof solutions of large-scale systems of linear algebraic equations. (Ukrainian. English andUkrainian summaries)

Zanna, Antonella (withMunthe-Kaas,Hans Z.) Generalized polar decompositions for theapproximation of the matrix exponential. (English summary) 2003e:65066


Al-Homidan, Suliman S. SQP algorithms for solving Toeplitz matrix approximationproblem. (English summary) 2003k:90098

Al-Kurdi, Ahmad seeMittal, R. C., 2003f:15013Cardoso, J. R. (with Silva Leite, F.) Computing the inverse matrix hyperbolic sine. (Englishsummary) 2003h:15023

Celledoni, Elena (with Iserles, Arieh) Methods for the approximation of the matrixexponential in a Lie-algebraic setting. (English summary) 2003a:65055

Comon, Pierre Tensor decompositions: state of the art and applications. (Englishsummary) (see 2003d:94003)

Defez, Emilio (with Garcia-Honrubia, M.; VillanuevaMico, R. J.) A procedure forcomputing the exponential of a matrix using Hermite matrix polynomials. (Englishsummary) 2003c:15034

Drineas, Petros (with Kannan, Ravi) Fast Monte-Carlo algorithms for approximate matrixmultiplication. (English summary) (see 2003h:68005)

Gabriel, Richard Minimization of the Frobenius norm of a complex matrix using planarsimilarities. (English summary) 2003f:65077

Galantai, Aurel Rank reduction and bordered inversion. (English summary) 2003b:15008

Garcia-Honrubia,M. see Defez, Emilio et al., 2003c:15034Giesbrecht, Mark W. (with Jacobson, Michael J., Jr.; Storjohann, Arne) Algorithms forlarge integer matrix problems. (English summary) 2003i:15016Fast computation of the Smith form of a sparse integer matrix. (English summary)2003d:15014

Guo, Chun-Hua On a quadratic matrix equation associated with anM -matrix. (Englishsummary) 2003m:15036

He, Cheng Yuan (with Huang, Ting Zhu) Two types of block circulant matrices andrelated algorithm. (Chinese. English and Chinese summaries) 2003m:15052

Henrion, Didier (with Jezek, Jan; Sebek, Michael) Discrete-time symmetric polynomialequations with complex coefficients. (English summary) 2003e:93030

Huang, Ting Zhu see He, Cheng Yuan, 2003m:15052Iserles, Arieh see Celledoni, Elena, 2003a:65055Jacobson,Michael J., Jr. see Giesbrecht,Mark W. et al., 2003i:15016Jezek, Jan see Henrion, Didier et al., 2003e:93030Kannan, Ravi see Drineas, Petros, (2003h:68005)Karelin, Irina (with Lerer, Leonid) Matrix quadratic equations, column/row reducedfactorizations and an inertia theorem for matrix polynomials. (English summary)2003f:93025

Lerer, Leonid see Karelin, Irina, 2003f:93025Li, Jing-Rebecca (withWhite, Jacob) Low rank solution of Lyapunov equations. (Englishsummary) 2003e:93060

Li, Zhan Kuan see Liu, Xin Guo et al., 2003k:15014Liu, Xin Guo (with Luan, Xu Guo; Li, Zhan Kuan) On the minimum norm solutionof the matrix equation ATX + XTA= B . (Chinese. English and Chinese summaries)2003k:15014

Lu, Chun-ming see Vaidyanathan,Ramachandran et al.

Luan, Xu Guo see Liu, Xin Guo et al., 2003k:15014Marek, Ivo (withMayer, Petr) Aggregation/disaggregationmethods for p-cyclicMarkovchains. (English summary) 2003e:60164

Mayer, Petr seeMarek, Ivo, 2003e:60164Meini, Beatrice Matrix equations and structures: efficient solution of special discretealgebraic Riccati equations. (English summary) 2003g:93045

Mittal, R. C. (with Al-Kurdi, Ahmad) Efficient computation of the permanent of a sparsematrix. (English summary) 2003f:15013

Niki, Hiroshi see Ojiro, Keiko et al.


Ojiro, Keiko (with Niki, Hiroshi; Usui, Masataka) A semi direct criterion forH -matrix.(English summary)

Peng, Zhen Yun The solutions of the matrix equation AXC + BYD = E and their optimalapproximation. (Chinese. English and Chinese summaries)

Perkins, Chris A convergence analysis of Dykstra’s algorithm for polyhedral sets. (Englishsummary) 2003e:90058

Raydan,Marcos (with Tarazaga, Pablo) Primal and polar approach for computing thesymmetric diagonally dominant projection. (English summary) 2003g:90128

Sebek,Michael see Henrion, Didier et al., 2003e:93030Silva Leite, F. see Cardoso, J. R., 2003h:15023Simon, Horst see Zhang, Zhen Yue et al., 2003e:65071Storjohann,Arne see Giesbrecht,Mark W. et al., 2003i:15016Sun, Ji-Guang Condition numbers of algebraic Riccati equations in the Frobenius norm.(English summary) 2003c:93057

Tarazaga, Pablo see Raydan,Marcos, 2003g:90128Trahan, Jerry L. see Vaidyanathan,Ramachandran et al.

Usui, Masataka see Ojiro, Keiko et al.

Vaidyanathan,Ramachandran (with Trahan, Jerry L.; Lu, Chun-ming) Degree ofscalability: scalable reconfigurablemesh algorithms for multiple addition and matrix-vector multiplication. (English summary)

VillanuevaMico, R. J. seeDefez, Emilio et al., 2003c:15034White, Jacob see Li, Jing-Rebecca, 2003e:93060Wu, Zhi Gang1 (with Zhong, Wan Xie) Precise integration method for numerical solutionto theH∞ filtering problem. (Chinese. English and Chinese summaries)

Ye, Huan Qiu see Zhang, Zhen Yue, 2003f:68153Yuan, Yong Xin Two classes of best approximation problems of matrices. (Chinese. Englishsummary) 2003a:15012

The optimal solution of linear matrix equations by using matrix decompositions.(Chinese. English summary) 2003g:15017

The minimum norm solutions of two classes of matrix equations. (Chinese. English andChinese summaries) 2003j:15012

Zha, Hongyuan see Zhang, Zhen Yue et al., 2003e:65071Zhang, Zhen Yue (with Zha, Hongyuan; Simon, Horst) Low-rank approximations withsparse factors. I. Basic algorithms and error analysis. (English summary) 2003e:65071

(with Ye, Huan Qiu) A divide-and-conquer algorithm for the rank-constrained subsetselection problem. (Chinese. English summary) 2003f:68153

Zhong,Wan Xie seeWu, Zhi Gang1

65F35 Matrix norms, conditioning, scaling [see also 15A12,15A60]

Amodio, Pierluigi Spectral properties of circulant band matrices arising in ODE methods.(English summary) (see 2003e:65003)

Barraud, Alain (with Lesecq, Suzanne; Khristov, Nikolaı D.) From sensitivity analysisto random floating point arithmetics—application to Sylvester equations. (Englishsummary) (see 2003e:65003)

Chandrasekaran,Shivkumar (with Schubert, Keith) Models for robust estimation andidentification. (English summary) (see 2003g:00026)

Dieci, Luca (with Papini, Alessandra) Conditioning of the exponential of a blocktriangular matrix. (English summary) 2003b:65043

Duff, Iain S. (with Vomel, Christof) Incremental norm estimation for dense and sparsematrices. (English summary) 2003f:65076

El Ghaoui, Laurent Inversion error, condition number, and approximate inverses ofuncertain matrices. (English summary) 2003b:65044

Erokhin, V. I. Properties of optimal single-rank correction of matrices of coefficients ofinconsistent nonhomogeneous linear models. (Russian. Russian summary) 2003j:65041

Gabriel, Richard Minimization of the Frobenius norm of a complex matrix using planarsimilarities. (English summary) 2003f:65077

George, Alan (with Ikramov, Khakim D.; Kucherov, A. B.) On the growth factor inGaussian elimination for generalized Highammatrices. (English summary) 2003a:65037

Ikramov, Khakim D. (with Nazari, A. M.) A remarkable consequence of Malyshev’sformula. (Russian)see also George, Alan et al., 2003a:65037

Khimich, A. N. (with Yakovlev, M. F.) Solution of a system of linear algebraic equationswith symmetric positive semi-definite matrices. (Russian. Russian summary) (see2003e:00027)

Khristov, Nikolaı D. see Barraud, Alain et al., (2003e:65003)Kucherov, A. B. see George, Alan et al., 2003a:65037Lesecq, Suzanne see Barraud, Alain et al., (2003e:65003)Liu, Xin Guo (withWang, Yu Ye) Structured backward error for tridiagonal systems.(Chinese. English and Chinese summaries)see also Sheng,Hanfang,2003m:65063

Nazari, A. M. see Ikramov, Khakim D.Papini, Alessandra see Dieci, Luca, 2003b:65043Pavlov, Velisar Stability of a parallel partioning algorithm for special classes of bandedlinear systems. (English summary) (see 2003e:65003)

Schubert,Keith see Chandrasekaran, Shivkumar, (2003g:00026)Sheng,Hanfang (with Liu, Xin Guo) Rice condition numbers of certain characteristicsubspaces. (English summary) 2003m:65063

Stanimirovic, Predrag S. Generalizations of the condition number. (English summary)2003m:65064

Vomel, Christof see Duff, Iain S., 2003f:65076Wang, Yu Ye see Liu, Xin GuoWatson, G. Alistair Robust solutions to linear approximation problems under ellipsoidaluncertainty. (English summary) (see 2003g:00026)

Yakovlev,M. F. see Khimich, A. N., (2003e:00027)


Angelova, Vera see Konstantinov,Mikhail M. et al., 2003k:93035 and 2003m:15037

Azulay, David-Olivier (with Gambini, Ian) Which pivot to solve linear systems? (Englishsummary) 2003j:65019

Bozkurt, Durmus see Yamac, Kerem, 2003k:15034Chen, Guo Liang1 (with Liu, Guo-ming; Xue, Yi-Feng) Perturbation theory for thegeneralized Bott-Duffin inverse and its applications. (English summary) 2003g:65054

Chu, De Lin (with Tan, Roger C. E.) Solvability conditions and parameterization of allsolutions for the triangular decoupling problem. (English summary) 2003f:93027

Dopico, Froilan M. (withMoro, Julio) Perturbation theory for simultaneous bases ofsingular subspaces. (English summary) 2003e:65054

Eremin, A. Yu. see Kharchenko, S. A., 2003d:15022Fierro, Ricardo D. (with Hansen, Per Christian) Truncated VSV solutions to symmetricrank-deficient problems. (English summary) 2003k:65041

Gambini, Ian seeAzulay, David-Olivier, 2003j:65019Gu, Dawei see Konstantinov,Mikhail M. et al., 2003k:93035Hansen, Per Christian see Fierro, Ricardo D., 2003k:65041Ipsen, Ilse C. F. A note on unifying absolute and relative perturbation bounds. (Englishsummary) 2003m:15044

Kharchenko, S. A. (with Eremin, A. Yu.) Multiplicative correction of a matrix on asequence of subspaces. I. Basic algorithms and theory for the general nonsymmetric sign-indefinite case. (Russian. English and Russian summaries) 2003d:15022

Kirkland, S. J. On a question concerning condition numbers for Markov chains. (Englishsummary) 2003g:15024

Kolotilina, L. Yu. On a class of optimally conditioned block 2× 2 matrices. (Russian.English and Russian summaries) 2003a:15005

Konstantinov,Mikhail M. Perturbation analysis of a class of real fractional-affinematrixequations. (English and Bulgarian summaries) 2003k:15013(with Petkov, Petko; Angelova, Vera; Popchev, Ivan) Sensitivity of a complex fractional-affine matrix equation. (English and Bulgarian summaries) 2003m:15037(with Petkov, Petko) Perturbations of matrix decompositions. (English and Bulgariansummaries) 2003m:93038(with Angelova, Vera; Petkov, Petko; Gu, Dawei; Tsachouridis, Vassilios) Perturbationbounds for coupled matrix Riccati equations. (English summary) 2003k:93035

Koukouvinos,Christos (withMitrouli, Marilena; Seberry, Jennifer) An infinite family ofHadamard matrices with fourth last pivot n/2. (English summary) 2003b:65026

Kudin, V. I. Application of the method of basis matrices in the investigation of theproperties of a linear system. (Ukrainian. English and Ukrainian summaries)

Li, Ren-Cang see Truhar, Ninoslav, 2003k:15022Li, Wen1 (with Sun, Wei Wei) Perturbation bounds of unitary and subunitary polarfactors. (English summary) 2003g:15020

Li, Xiezhang (withWei, Yi-Min) A note on the perturbation bound of the Drazin inverse.(English summary) 2003k:15001

Liu, Guo-ming see Chen, Guo Liang1 et al., 2003g:65054Lokam, SatyanarayanaV. Spectral methods for matrix rigidity with applications to size-depth trade-offs and communication complexity. (English summary) 2003a:68059

Mitrouli, Marilena see Koukouvinos,Christos et al., 2003b:65026Moro, Julio see Dopico, Froilan M., 2003e:65054Nakic, Ivica Relative perturbation theory for a class of diagonalizableHermitian matrixpairs. (English summary) 2003m:65051

Nieuwenhuis, Herman J. (with Schoonbeek, Lambert) Stability of matrices with negativediagonal submatrices. (English summary) 2003k:93086

Oishi, Shin’Ichi (with Rump, Siegfried M.) Fast verification of solutions of matrixequations. (English summary) 2003b:65027

Petkov, Petko see Konstantinov,Mikhail M. et al., 2003k:93035; 2003m:15037 and2003m:93038

Piazza, G. (with Politi, T.) An upper bound for the condition number of a matrix inspectral norm. (English summary) 2003d:15009

Politi, T. see Piazza, G., 2003d:15009Pop, Nicolae A preconditioning method of ill conditioned matrices using wavelet bases.(English summary)

Popchev, Ivan see Konstantinov,Mikhail M. et al., 2003m:15037

Popova, Evgenija D. Quality of the solution sets of parameter-dependent interval linearsystems. (English summary) 2003k:65043

Rump, Siegfried M. seeOishi, Shin’Ichi, 2003b:65027Sayed, Ali H. (with Subramanian, Ananth) State-space estimation with uncertain models.(English summary) 2003m:93088

Schoonbeek,Lambert see Nieuwenhuis, Herman J., 2003k:93086Seberry, Jennifer see Koukouvinos,Christos et al., 2003b:65026Shao, Rong seeWu, Xin Yuan et al., 2003j:65039Subramanian, Ananth see Sayed, Ali H., 2003m:93088

Sun, Ji-Guang Condition numbers of algebraic Riccati equations in the Frobenius norm.(English summary) 2003c:93057

Sun, Wei Wei see Li, Wen1, 2003g:15020Tan, Roger C. E. seeChu, De Lin, 2003f:93027Truhar, Ninoslav (with Li, Ren-Cang) A sin 2Θ theorem for graded indefinite Hermitianmatrices. (English summary) 2003k:15022

Tsachouridis, Vassilios see Konstantinov,MikhailM. et al., 2003k:93035Wei, Yi-Min see Li, Xiezhang, 2003k:15001Wu, Xin Yuan (with Shao, Rong; Zhu, Yiran) New iterative improvement of a solution foran ill-conditioned system of linear equations based on a linear dynamic system. (Englishsummary) 2003j:65039

Xue, Yi-Feng see Chen, Guo Liang1 et al., 2003g:65054Yamac, Kerem (with Bozkurt, Durmus) An algorithm for stability of discrete-time intervalmatrices. (English summary) 2003k:15034

Yan, Qing You The properties of a kind of random symplecticmatrices. (Chinese. Englishand Chinese summaries) 2003e:15028

Zhu, Yiran seeWu, Xin Yuan et al., 2003j:65039

65F40 Determinants

Al-Hassan, Qassem M. On updating determinants of matrices. (English summary)


Eberly, Wayne (with Giesbrecht, MarkW.; Villard, Gilles) On computing the determinantand Smith form of an integer matrix. (English summary) (see 2003d:68005)

Giesbrecht,Mark W. see Eberly, Wayne et al., (2003d:68005)Reusken, Arnold Approximation of the determinant of large sparse symmetric positivedefinite matrices. (English summary) 2003e:65067

Rote, Gunter Division-free algorithms for the determinant and the Pfaffian: algebraic andcombinatorial approaches. 2003g:65062

Tommasini Montanari, Tamara On Vandermonde systems solution in the symmetric case.(English and Italian summaries) 2003f:65078

Villard, Gilles see Eberly, Wayne et al., (2003d:68005)


Keri, Gerzson The Sherman-Morrison formula for the determinant and its application foroptimizing quadratic functions on condition sets given by extreme generators. (Englishsummary) 2003d:90067

Stanimirovic, Predrag S. (with Tasic, Milan B.) Computing determinantal representationof generalized inverses. (English summary) 2003a:15004

Tasic, Milan B. see Stanimirovic, Predrag S., 2003a:15004

65F50 Sparse matrices

Amestoy, Patrick R. (with Duff, Iain S.; L’Excellent, Jean-Yves; Li, Xiaoye S.) Analysisand comparison of two general sparse solvers for distributed memory computers.(English summary)

Blaheta, Radim GPCG-generalizedpreconditioned CG method and its use with non-linearand non-symmetric displacement decomposition preconditioners. (English summary)2003k:65042

Del Corso, Gianna M. (with Romani, Francesco) Heuristic spectral techniques forthe reduction of bandwidth and work-bound of sparse matrices. (English summary)2003e:65068

Duff, Iain S. see Amestoy, Patrick R. et al.


Griewank, Andreas (withMitev, Christo) Detecting Jacobian sparsity patterns by Bayesianprobing. (English summary) 2003e:65069

Hu, Yi Fan (with Scott, Jennifer A.) A multilevel algorithm for wavefront reduction.(English summary) 2003c:65034

L’Excellent, Jean-Yves see Amestoy, Patrick R. et al.

Li, Xiaoye S. see Gilbert, John Russell et al., 2003h:65061 and Amestoy, Patrick R. et al.Liu, Shi Ping2 Multiple Schubert’s updating matrix and its compact representation.(English summary) 2003m:65065

Mitev, Christo see Griewank, Andreas, 2003e:65069Neuß, N. A new sparse-matrix storage method for adaptively solving large systems ofreaction-diffusion-transport equations. (English summary) 2003b:65045

Ng, E. G. see Gilbert, John Russell et al., 2003h:65061Peyton, B. W. see Gilbert, John Russell et al., 2003h:65061Romani, Francesco see Del Corso, Gianna M., 2003e:65068Saad, Youcef (with Suchomel, B.) ARMS: an algebraic recursivemultilevel solver forgeneral sparse linear systems. (English summary) 2003e:65070

Schulze, Jurgen2 Towards a tighter coupling of bottom-up and top-down sparse matrixordering methods. (English summary) 2003b:65046

Scott, Jennifer A. see Hu, Yi Fan, 2003c:65034Simon, Horst see Zhang, Zhen Yue et al., 2003e:65071Suchomel, B. see Saad, Youcef, 2003e:65070Zha, Hongyuan see Zhang, Zhen Yue et al., 2003e:65071Zhang, Zhen Yue (with Zha, Hongyuan; Simon, Horst) Low-rank approximations withsparse factors. I. Basic algorithms and error analysis. (English summary) 2003e:65071


Al-Kurdi, Ahmad seeMittal, R. C., 2003f:15013Amestoy, Patrick R. (with Duff, Iain S.; L’Excellent, Jean-Yves;Koster, Jacko) A fullyasynchronous multifrontal solver using distributed dynamic scheduling. (Englishsummary) 2003d:65019


Benzi, Michele Preconditioning techniques for large linear systems: a survey. (Englishsummary) 2003j:65026

Bischof, Christian H. (with Lang, Bruno; Sun, Xiaobai) A framework for symmetric bandreduction. (English summary) 2003g:65058

(with Lang, Bruno; Sun, Xiaobai) Algorithm 807: the SBR toolbox—software forsuccessive band reduction. (English summary)

Bollhofer, Matthias (with Saad, Youcef) On the relations between ILUs and factoredapproximate inverses. (English summary) 2003g:65038

Brainman, Igor (with Toledo, Sivan) Nested-dissection orderings for sparse LU withpartial pivoting. (English summary) 2003f:65042

Broker, Oliver (with Grote, Marcus J.; Mayer, Carsten; Reusken, Arnold) Robustparallel smoothing for multigrid via sparse approximate inverses. (English summary)2003c:65023

Cai, Xiao-Chuan (with Zou, Jun) Some observations on the l2 convergence of the additiveSchwarz preconditioned GMRES method. (English summary) 2003f:65049

Chen, Zhi1 (with Gao, Lu Duan) An algorithm for solving large-scale sparse groups oflinear equations. (Chinese. English and Chinese summaries)


Dean, Edward J. (with Glowinski, Roland; Lions, Jacques-Louis) An operator splittingapproach to multilevelmethods. (English summary) 2003g:65040


Drmac, Zlatko see Arbenz, Peter, 2003g:65034Duff, Iain S. see Amestoy, Patrick R. et al., 2003d:65019

Eremin, A. Yu. (with Nikishin, A. A.) Factorized sparse approximate inverse precondition-ing of linear systems with nonsymmetric matrices. (Russian. English and Russian sum-maries) 2003g:65041

van den Eshof, Jasper see Sleijpen, Gerard L. G. et al., 2003k:65039 and 2003m:65053

Evans, David John1 see Li, Changjun1 et al., 2003c:65028Florez, E. seeMontero Garcıa, Gustavo et al., 2003c:15039Fullenbach,T. (with Stuben, K.) Algebraic multigrid for selected PDE systems. (Englishsummary) 2003j:65027

Gao, Lu Duan see Chen, Zhi1

Garcıa Leon, Marıa Dolores seeMontero Garcıa, Gustavo et al., 2003c:15039Giannoutakis, KonstantinosM. see Gravvanis, George A.

Glowinski, Roland see Dean, Edward J. et al., 2003g:65040Gonzalez Sanchez,Luis seeMontero Garcıa, Gustavo et al., 2003c:15039Gravvanis, George A. (with Giannoutakis, Konstantinos M.) Normalized explicit finiteelement approximate inverses. (English summary)

Grote, Marcus J. see Broker, Oliver et al., 2003c:65023Jia, Zhong Xiao The refined harmonic Arnoldi method and an implicitly restarted refinedalgorithm for computing interior eigenpairs of large matrices. (English summary)2003g:65049

Koschinski, Claus New methods for adapting and for approximating inverses as precondi-tioners. (English summary) 2003k:65027

Koster, Jacko see Amestoy, Patrick R. et al., 2003d:65019Kraus, J. K. An algebraic preconditioning method forM -matrices: linear versus non-linearmultilevel iteration. (English summary) 2003k:65029

Lang, Bruno see Bischof, ChristianH. et al., 2003g:65058L’Excellent, Jean-Yves see Amestoy, Patrick R. et al., 2003d:65019Li, Changjun1 (with Liang, Xiao Li; Evans, David John1) An iterativemethod for thepositive real linear system. (English summary) 2003c:65028

Li, Jing-Rebecca (withWhite, Jacob) Low rank solution of Lyapunov equations. (Englishsummary) 2003e:93060

Liang, Xiao Li see Li, Changjun1 et al., 2003c:65028Lions, Jacques-Louis see Dean, Edward J. et al., 2003g:65040Liu, Zhongyun Convergence of generalized relaxedmultisplitting methods for symmetricpositive definite matrices. (English summary) 2003k:65030

Mayer, Carsten see Broker, Oliver et al., 2003c:65023Meurant, Gerard A multilevel AINV preconditioner. (English summary) 2003e:65046

Mittal, R. C. (with Al-Kurdi, Ahmad) Efficient computation of the permanent of a sparsematrix. (English summary) 2003f:15013

Montero Garcıa, Gustavo (with Gonzalez Sanchez, Luis; Florez, E.; Garcıa Leon,Marıa Dolores; Suarez Sarmiento, Antonio) Approximate inverse computation usingFrobenius inner product. (English summary) 2003c:15039

Naulin, Jean-Marc A contribution of sparse matrices tools to matrix population modelanalysis. (English summary)

Nikishin, A. A. see Eremin, A. Yu., 2003g:65041Reusken, Arnold Approximation of the determinant of large sparse symmetric positivedefinite matrices. (English summary) 2003e:65067

see also Broker, Oliver et al., 2003c:65023Robbe, Mickael (with Sadkane, Miloud) Riccati-based preconditioner for computinginvariant subspaces of large matrices. (English summary) 2003f:65065

Saad, Youcef see Bollhofer, Matthias, 2003g:65038Sadkane,Miloud see Robbe, Mickael, 2003f:65065Shen, Chi (with Zhang, Jun2) Parallel two level block ILU preconditioning techniques forsolving large sparse linear systems. (English summary)

Sleijpen, Gerard L. G. (with van den Eshof, Jasper) On the use of harmonic Ritz pairs inapproximating internal eigenpairs. (English summary) 2003m:65053(with van den Eshof, Jasper; Smit, Paul) Optimal a priori error bounds for the Rayleigh-Ritz method. (English summary) 2003k:65039

Smit, Paul see Sleijpen, Gerard L. G. et al., 2003k:65039Stewart, G. W. A Krylov-Schur algorithm for large eigenproblems. (English summary)

2003b:15019

Addendum to: “A Krylov-Schur algorithm for large eigenproblems” [SIAM J. MatrixAnal. Appl. 23 (2001/02), no. 3, 601–614 (electronic); MR 2003b:15019]. (Englishsummary) 2003m:65054

Stuben, K. see Fullenbach,T., 2003j:65027Suarez Sarmiento, Antonio seeMontero Garcıa, Gustavo et al., 2003c:15039Sun, Xiaobai see Bischof, Christian H. et al., 2003g:65058Toledo, Sivan see Brainman, Igor, 2003f:65042Tuma, Miroslav A note on the LDLT decomposition of matrices from saddle-pointproblems. (English summary) 2003g:65036

Vassilevski, Panayot S. Sparse matrix element topology with application to AMG(e) andpreconditioning. (English summary) 2003i:65033

Wang, Kai6 (with Zhang, Jun2) Multigrid treatment and robustness enhancement forfactored sparse approximate inverse preconditioning. (English summary)

White, Jacob see Li, Jing-Rebecca, 2003e:93060Willoughby, Ralph A. seeCullum, Jane K., 2003i:65003Zhang, Jun2 A sparse approximate inverse preconditioner for parallel preconditioning ofgeneral sparse matrices. (English summary) 2003d:65029

see also Shen, Chi andWang, Kai6

Zou, Jun see Cai, Xiao-Chuan,2003f:65049

65F99 None of the above, but in this section


Del Buono, Nicoletta (with Lopez, Luciano) Geometric integration on manifold of squareoblique rotation matrices. (English summary) 2003f:65114

Lopez, Luciano see Del Buono, Nicoletta, 2003f:65114Stoyan, V. A. Inversion of linear space-time transformations in bounded domains.(Russian. English and Ukrainian summaries) 2003f:49075

Utyubaev, G. Sh. A numerical characteristic of an interval matrix. (Russian) 2003j:65044

NUMERICAL ANALYSIS65Gxx 2003 1874

65Gxx Error analysis and interval analysis

65G20 Algorithms with automatic result verification

Jackson, Kenneth R. (with Nedialkov, Nedialko S.) Some recent advances in validatedmethods for IVPs for ODEs. (English summary) 2003g:65063

Nedialkov, Nedialko S. see Jackson, Kenneth R., 2003g:65063Petras, Knut Self-validating integration and approximation of piecewise analytic functions.(English summary) 2003f:65079

Zgliczynski, Piotr C 1 Lohner algorithm. (English summary) 2003h:65062

Items with secondary classifications in 65G20

Berz, Martin see Hoefkens, Jens, 2003m:70005Dian, Jianwei see Kearfott, R. Baker, 2003g:65068Facius, Axel Highly accurate verified error bounds for Krylov type linear system solvers.(English summary)

Germanenko, M. I. see Panyukov, A. V., 2003d:65126Hoefkens, Jens (with Berz, Martin) Controlling the wrapping effect in the solution ofODEs for asteroids. (English summary) 2003m:70005

Kearfott, R. Baker (with Dian, Jianwei) Verifying topological indices for higher-order rankdeficiencies. (English summary) 2003g:65068

Otunta, F. O. see Uwamusi, S. E., 2003e:65084Panyukov, A. V. (with Germanenko, M. I.) Complexity of determining a guaranteedestimate for the solution of an approximately given system of linear algebraic equations.(Russian. English and Russian summaries) 2003d:65126

Sakurai, Tetsuya (with Sugiura, Hiroshi) Improvement of convergence of an iterativemethod for finding polynomial factors of analytic functions. (English summary)2003m:65077

Schafer, Uwe2 An enclosure method for free boundary problems based on a linearcomplementarity problem with interval data. (English summary) 2003d:90110

Sugiura,Hiroshi see Sakurai, Tetsuya, 2003m:65077Uwamusi, S. E. (with Otunta, F. O.) A hybrid method for guaranteed interval contractionsfor the simultaneous determination of zeros of polynomial equations. (English andArabic summaries) 2003e:65084

65G30 Interval and finite arithmetic

Allgower, Eugene L. (with Erdmann, Melissa; Georg, Kurt) On the complexity ofexclusion algorithms for optimization. (English summary) 2003f:65080

Avdeenko, S. N. (with Dombrovskiı, V. V.) Application of generalized interval arithmeticfor the analysis of financial operations. (Russian. English summary) 2003e:65072

Berz, Martin see Hoefkens, Jens, 2003c:65035Chiao, Kuo-Ping Fundamental properties of interval vector max-norm. (English summary)

2003m:65066

Chiu, Chong-Kan (with Lee, Jimmy Ho-Man) Efficient interval linear equality solving inconstraint logic programming. (English summary) 2003e:65073

Dobronets, B. S. (with Roshchina, E. L.) Applications of interval sensitivity analysis.(Russian. English summary) 2003e:65074

Dombrovskiı, V. V. see Avdeenko, S. N., 2003e:65072Dzhomartova, Sh. A. “Practical” interval computations. (Russian) 2003m:65067Erdmann, Melissa see Allgower, Eugene L. et al., 2003f:65080Georg, Kurt see Allgower, Eugene L. et al., 2003f:65080Glazunov, N. M. Interval estimation of the values of some zeta- and L-functions and theirapplications. (Russian. English and Ukrainian summaries) 2003d:65039

Heckmann, Reinhold Contractivity of linear fractional transformations. (English summary)2003f:65081

Hertling, Peter A lower bound for range enclosure in interval arithmetic. (Englishsummary) 2003d:65040

Hoefkens, Jens (with Berz, Martin) Verification of invertibility of complicated functionsover large domains. (English summary) 2003c:65035

Jackson, Kenneth R. see Nedialkov, Nedialko S. et al., 2003c:65036Kearfott, R. Baker (withWalster, G. William) Symbolic preconditioning with Taylormodels: some examples. (English summary) 2003m:65068

Kolev, Lubomir V. Outer solution of linear systems whose elements are affine functions ofinterval parameters. (English summary) 2003m:65069

Kreinovich, Vladik Range estimation is NP-hard for ε2 accuracy and feasible for ε2−6.(English summary) 2003m:65070

Kulisch, Ulrich W. Advanced arithmetic for the digital computer. (English summary)2003j:65042

Lee, Jimmy Ho-Man see Chiu, Chong-Kan,2003e:65073Nedialkov, Nedialko S. (with Jackson, Kenneth R.; Pryce, John D.) An effectivehigh-orderinterval method for validating existence and uniqueness of the solution of an IVP for anODE. (English summary) 2003c:65036

Popova, Evgenija D. Quality of the solution sets of parameter-dependent interval linearsystems. (English summary) 2003k:65043

Pryce, John D. see Nedialkov, Nedialko S. et al., 2003c:65036Ratschan,Stefan Uncertainty propagation in heterogeneous algebras for approximatequantified constraint solving. (English summary) 2003a:65038

Roshchina,E. L. see Dobronets, B. S., 2003e:65074Schafer, Uwe2 Two ways to extend the Cholesky decomposition to block matrices withinterval entries. (English summary) 2003b:65047

Sharyı, S. P. A new technique in systems analysis under interval uncertainty and ambiguity.(English summary) 2003j:65043

Walster, G. William see Kearfott, R. Baker, 2003m:65068


Ashchepkov, L. T. (with Kosogorova, I. B.) Minimization of a quadratic function withinterval coefficients. (Russian. Russian summary) 2003d:90066

(Bajard, J.-C.) see Real numbers and computersBarahona, Pedro see Cruz, Jorge, 2003d:65066

Bowyer, Adrian seeMartin, Ralph et al.

(Casares Maldonado, Alejandro) see Overton, Michael L., 2003g:65003Ceberio, Martine (with Granvilliers, Laurent) Solving nonlinear systems by constraintinversion and interval arithmetic. (English summary) 2003a:65044

Collins, George E. (with Johnson, Jeremy R.; Krandick, Werner) Interval arithmetic incylindrical algebraic decomposition. (English summary) 2003h:68156

Cruz, Jorge (with Barahona, Pedro) Handling differential equations with constraints fordecision support. (English summary) 2003d:65066

Farouki, Rida T. (with Pottmann, Helmut) Exact Minkowski products of N complex disks.(English summary) 2003c:52011

(Frougny, Christiane) see Real numbers and computers

Granvilliers, Laurent Towards cooperative interval narrowing. (English summary)2003e:90065

see also Ceberio,Martine, 2003a:65044Guu, Sy-Ming see Pang, Chin-Tzong et al., 2003b:15041Johnson, Jeremy R. see Collins, George E. et al., 2003h:68156(Kornerup, P.) see Real numbers and computers

Kosogorova, I. B. see Ashchepkov, L. T., 2003d:90066Krandick, Werner see Collins, George E. et al., 2003h:68156Lebbah, Yahia seeMichel, Claude et al., (2003f:68003)Lur, Yung-Yih see Pang, Chin-Tzong et al., 2003b:15041Maekawa, Takashi see Patrikalakis, Nicholas M., 2003a:65014Martin, Ralph (with Shou, Hua Hao; Voiculescu, Irina; Bowyer, Adrian; Wang,Guo Jin1)Comparison of interval methods for plotting algebraic curves. (English summary)

Michel, Claude (with Rueher, Michel; Lebbah, Yahia) Solving constraints over floating-point numbers. (English summary) (see 2003f:68003)

(Muller, J.-M.) see Real numbers and computers

Overton, Michael L. Numerical computing with IEEE floating point arithmetic. (Englishsummary) 2003b:65002Computo numerico con aritmetica de punto flotante IEEE. (Spanish. Spanishsummary) [Numerical computing with IEEE floating point arithmetic] 2003g:65003

Paige, ChristopherC. (with Strakos, Zdenek) Residual and backward error bounds inminimum residual Krylov subspace methods. (English summary) 2003g:65045

Pang, Chin-Tzong (with Lur, Yung-Yih; Guu, Sy-Ming) A new proof of Mayer’s theorem.(English summary) 2003b:15041

Patrikalakis, Nicholas M. (withMaekawa, Takashi) Shape interrogation for computeraided design and manufacturing. (English summary) 2003a:65014

Petkovic, Miodrag S. Comments on some recent methods for the simultaneous determina-tion of polynomial zeros. (English summary) 2003d:65044

Pottmann, Helmut see Farouki, Rida T., 2003c:52011Rueher, Michel seeMichel, Claude et al., (2003f:68003)Shou,Hua Hao seeMartin, Ralph et al.

Strakos, Zdenek see Paige, ChristopherC., 2003g:65045Voiculescu, Irina seeMartin, Ralph et al.

Wang, Guo Jin1 seeMartin, Ralph et al.


Real numbers and computers Real numbers and computers.Schloss Dagstuhl Real numbers and computers.

65G40 General methods in interval analysis

Bentbib, A. H. Solving the full rank interval least squares problem. (English summary)2003e:65075

Claudio, D. M. (with Dobner, Hans-Jurgen) A new approach for solving equations withinterval coefficients. (English summary) 2003f:65082

Deville, Yves (with Janssen, Micha; Van Hentenryck, Pascal) Consistency techniques inordinary differential equations. (English summary) 2003k:65044

Dobner, Hans-Jurgen see Claudio, D. M., 2003f:65082Fylstra, Daniel H. see Nenov, Ivo P.

Gardenes, Ernest see Sainz,Miguel A. et al., 2003e:65077 and 2003e:65078

Granvilliers, Laurent On the combination of interval constraint solvers. (English summary)2003f:65083

Hilano, Teluhiko Evaluation of polynomials through interval numbers. (Japanese)Ikhile, M. N. O. On the convergence of some interval methods for simultaneous computa-tion of polynomial zeros. (English summary) 2003h:65063

Janssen, Micha see Deville, Yves et al., 2003k:65044Jorba, Lambert see Sainz,Miguel A. et al., 2003e:65077 and 2003e:65078

Kai, Hiroshi seeMurakami, Yumi et al.

Kosmol, Peter see Sun, Fangyu, 2003b:65049Kozine, Igor O. (with Utkin, Lev V.) Interval-valued finite Markov chains. (Englishsummary) 2003b:65048

Litvinov, G. L. (withMaslov, V. P.; Sobolevskiı, A. N.) Idempotent mathematics andinterval analysis. (Russian. English summary) 2003e:65076

Lodwick, Weldon A. seeMoore, Ramon E.

Maslov, V. P. see Litvinov, G. L. et al., 2003e:65076Mayer, Jan An approach to overcome division by zero in the interval Gauss algorithm.(English summary) 2003c:65037

Men′shikov, G. G. The preliminary enclosing of the ODE solutions on the base of theCauchy-Duhamel identity. (English summary) 2003d:65041

Moore, Ramon E. (with Lodwick, Weldon A.) Interval analysis and fuzzy set theory.(English summary)

Murakami, Yumi (with Kai, Hiroshi; Noda, Matu-Tarow) On hybrid rational functionapproximation and stabilization theory through interval calculus. (Japanese)

Nenov, Ivo P. (with Fylstra, Daniel H.) Interval methods for accelerated global search inthe Microsoft Excel solver. (English summary)

Neumaier, Arnold Grand challenges and scientific standards in interval analysis. (Englishsummary) 2003d:65042

Noda, Matu-Tarow seeMurakami, Yumi et al.

65H Nonlinear algebraic or transcendental equations1875 2003 65H05

Sainz,Miguel A. (with Gardenes, Ernest; Jorba, Lambert) Formal solution to systems ofinterval linear or non-linear equations. (English summary) 2003e:65077

(with Gardenes, Ernest; Jorba, Lambert) Interval estimations of solution sets to real-valued systems of linear or non-linear equations. (English summary) 2003e:65078

Sobolevskiı,A. N. see Litvinov, G. L. et al., 2003e:65076Sun, Fangyu (with Kosmol, Peter) A new simultaneous method of fourth order for findingcomplex zeros in circular interval arithmetic. (English summary) 2003b:65049

Utkin, Lev V. see Kozine, Igor O., 2003b:65048Utyubaev,G. Sh. A numerical characteristic of an interval matrix. (Russian) 2003j:65044

Van Hentenryck, Pascal see Deville, Yves et al., 2003k:65044Wolfe,Michael A. On bounding solutions of underdetermined systems. (English summary)

2003c:65038

Yamamura, Kiyotaka Finding all solution sets of piecewise-trapezoidal equations describedby set-valued functions. (English summary)


Akinyele, Olusola see Arawomo, Peter O., 2003i:34006Andrianova,Natalia A. see Dulov, Eugene V., 2003k:11125Arawomo, Peter O. (with Akinyele, Olusola) An interval analytic method in constructiveexistence theorems for initial value problems. (English summary) 2003i:34006

Armengol, J. see Vehı, J. et al.

Beaumont,Olivier (with Philippe, Bernard) Linear interval tolerance problem and linearprogramming techniques. (English summary) 2003b:90050

Bozkurt, Durmus see Yamac, Kerem, 2003k:15034Casado, L. G. (with Garcıa-Fernandez, I.; Sergeev, Yaroslav D.) Interval algorithms forfinding the minimal root in a set of multiextremal one-dimensional nondifferentiablefunctions. (English summary) 2003m:65072

Chausova, E. V. see Dombrovskiı, V. V., 2003g:90007Dombrovskiı, V. V. (with Chausova, E. V.) Application of interval methods in inventorycontrol. (Russian. English summary) 2003g:90007

Dulov, Eugene V. (with Andrianova, Natalia A.) Bounding the maximum value of the real-valued sequence. (English summary) 2003k:11125

Fernandez, Felipe (with Gutierrez Rıos, Julio) A Takagi-Sugeno model with fuzzy inputsviewed from multidimensional interval analysis. (English summary)

Galias, Zbigniew Proving the existence of long periodic orbits in 1D maps using intervalNewton method and backward shooting. (English summary) 2003f:37063

Garcıa-Fernandez, I. see Casado, L. G. et al., 2003m:65072

Gutierrez Rıos, Julio see Fernandez,Felipe

Han, Te Sun see Hoshi, Mamoru, 2003b:94026Hoshi, Mamoru (with Han, Te Sun) Interval algorithm for homophonic coding. (Englishsummary) 2003b:94026

Jaulin, Luc seeWalter, Eric et al.

Joan-Arinyo, Robert (withMata, N.) Applying constructive geometric constraint solvers togeometric problems with interval parameters. (English summary)

Kearfott, R. Baker On existence and uniqueness verification for non-smooth functions.(English summary) 2003h:65066

Kharab, Abdelwahab (with Kharab, Rachid) A new method for finding the eigenpairs ofsymmetric interval matrices. (English summary) 2003f:65063

Kharab, Rachid see Kharab, Abdelwahab, 2003f:65063Kieffer, Michel seeWalter, Eric et al.

Luo, Ning Su see Vehı, J. et al.

Mata, N. see Joan-Arinyo,Robert

Moore, Ramon E. Sparse systems in fixed point form. (English summary) 2003e:65089

Nataraj, Paluri S. V. Interval QFT: a mathematical and computational enhancement ofQFT. (English summary) 2003b:93038

(with Sheela, Suresh Mandir) A QFT procedure for generating design frequencies andbounds of guaranteed accuracy. (English summary)

Philippe, Bernard see Beaumont, Olivier, 2003b:90050Ratschan,Stefan Approximate quantified constraint solving by cylindrical box decomposi-tion. (English summary) 2003a:68152

Rodellar, Jose see Vehı, J. et al.

Sergeev, Yaroslav D. see Casado, L. G. et al., 2003m:65072

Sharyı, S. P. A surprising approach in interval global optimization. (English summary)2003a:90044

Shashikhin,V. N. Interval analysis methods in the synthesis of a robust control. (Russian.English summary) 2003a:93055

Sheela, Suresh Mandir see Nataraj, Paluri S. V.

Tanaka, Shigeru1 see Yamamura, Kiyotaka, 2003e:65090Van Voorhis, Tim A global optimization algorithm using Lagrangian underestimates andthe interval Newton method. (English summary) 2003h:90053

Vehı, J. (with Luo, Ning Su; Rodellar, Jose; Armengol, J.) Digital control via intervalanalysis. (English summary)

Walter, Eric (with Jaulin, Luc; Kieffer, Michel) Interval analysis for guaranteed and robustnon-linear estimation in robotics. (English summary)

Wang,Hsiao-Fan (withWang, Mao Ling) Decision analysis of the interval-valuedmultiobjective linear programming problems. (English summary) (see 2003c:90003)

Wang,Mao Ling seeWang, Hsiao-Fan, (2003c:90003)Xu, Peiliang A hybrid global optimization method: the multi-dimensional case. (Englishsummary)

Yamac, Kerem (with Bozkurt, Durmus) An algorithm for stability of discrete-time intervalmatrices. (English summary) 2003k:15034

Yamamura, Kiyotaka (with Tanaka, Shigeru1) Finding all solutions of systems ofnonlinear equations using the dual simplex method. (English summary) 2003e:65090

65G50 Roundoff error

Allen, Edward J. (with Burns, John A.; Gilliam, D. S.; Hill, J.; Shubov, V. I.) The impact offinite precision arithmetic and sensitivity on the numerical solution of partial differentialequations. (English summary) 2003e:65079

Athanasopoulos,Bessy Dim. A generalized treatment of the rounding problem. Roundingerrors of linear functions. (English summary) 2003c:65039

Burns, John A. see Allen, Edward J. et al., 2003e:65079Gilliam, D. S. see Allen, Edward J. et al., 2003e:65079Higham, Nicholas J. Accuracy and stability of numerical algorithms. (English summary)

2003g:65064Hill, J. see Allen, Edward J. et al., 2003e:65079Langlois, Philippe Automatic linear correction of rounding errors. (English summary)

2003e:65080

Shubov, V. I. see Allen, Edward J. et al., 2003e:65079Yalamov, Plamen Graphs and stability of algorithms. (English summary) 2003c:65040


Asano, Tetsuo (with Tokuyama, Takeshi) How to color a checkerboard with a givendistribution—matrix rounding achieving low 2× 2-discrepancy. (English summary) (see2003b:68003)

Barlow, Jesse L. More accurate bidiagonal reduction for computing the singular valuedecomposition. (English summary) 2003b:65035


Cuyt, A. (with Kuterna, P.; Verdonk, B.; Verschaeren, D.) Underflow revisited. (Englishsummary) 2003j:68008

Daumas, Marc (with Rideau, Laurence; Thery, Laurent) A generic library for floating-point numbers and its application to exact computing. (English summary) (see2003a:68019)

El Baz, Didier see Spiteri, Pierre et al., 2003h:65042Kuterna, P. see Cuyt, A. et al., 2003j:68008Miellou, Jean-Claude see Spiteri, Pierre et al., 2003h:65042Percival, Colin Rapid multiplication modulo the sum and difference of highly compositenumbers. (English summary) 2003i:11183

Rideau, Laurence see Daumas, Marc et al., (2003a:68019)Spiteri, Pierre (withMiellou, Jean-Claude; El Baz, Didier) Perturbation of parallelasynchronous linear iterations by floating point errors. (English summary) 2003h:65042

Thery, Laurent see Daumas, Marc et al., (2003a:68019)Tokuyama, Takeshi see Asano, Tetsuo, (2003b:68003)Tsuji, Kumiko Round-off error of optimal control problems in floating-point numbersystems. (English summary) (see 2003f:00023)

Verdonk, B. see Cuyt, A. et al., 2003j:68008Verschaeren, D. see Cuyt, A. et al., 2003j:68008Yalamov, Plamen see Barrio, Roberto, (2003e:65003)

65G99 None of the above, but in this section

Abbasbandy,Saeid (with Fariborzi Araghi, Mohd. Ali) A reliablemethod to determine theill-condition functions using stochastic arithmetic. (English summary) 2003f:65084

Fariborzi Araghi, Mohd. Ali see Abbasbandy,Saeid, 2003f:65084Kalovics, F. Creating and handling box valued functions used in numerical methods.(English summary) 2003i:65040

Sheınin, O. B. History of the theory of errors. (Russian. English summary) 2003k:65045


Fujiwara, Hiroshi (with Iso, Yuusuke) Design of a multiple-precision arithmetic packagefor a 64-bit computing environment and its application to numerical computation of ill-posed problems. (Japanese. English and Japanese summaries)

Hanss, Michael The transformationmethod for the simulation and analysis of systems withuncertain parameters. (English summary) 2003h:74077

Iso, Yuusuke see Fujiwara, Hiroshi

Jamison, K. David see Lodwick, Weldon A.Litvinov, G. L. Error autocorrection in rational approximation and interval estimates. [Asurvey of results]. (English summary) 2003j:41014

Lodwick, Weldon A. (with Jamison, K. David) Estimating and validating the cumulativedistribution of a function of random variables: toward the development of distributionarithmetic. (English summary)

65Hxx Nonlinear algebraic or transcendental equations

65H05 Single equations

Abramchuk, V. S. (with Lyashko, Sergei I.) Solution of equations with one variable.(English summary) 2003b:65050

Amat, Sergio (with Busquier, Sonia) On a modified secant method for nonlinearequations. (English summary)

Angelov, I. (with Kyurkchiev, Nikolaı V.) On the behavior of approximations of the SORTanabe’s method. (English summary) 2003i:65041

Babolian, E. (with Biazar, J.) Solution of nonlinear equations by modified Adomiandecomposition method. (English summary) 2003h:65064

Batra, Prashant Simultaneous point estimates for Newton’s method. (English summary)2003i:65042

Biazar, J. see Babolian, E., 2003h:65064Boyd, John Philip Computing zeros on a real interval through Chebyshev expansion andpolynomial rootfinding. (English summary) 2003m:65071

Brandt, Achi see Livne, Oren E., 2003m:65076Busquier, Sonia see Amat, Sergio

Casado, L. G. (with Garcıa-Fernandez, I.; Sergeev, Yaroslav D.) Interval algorithms forfinding the minimal root in a set of multiextremal one-dimensional nondifferentiablefunctions. (English summary) 2003m:65072

Chambers, Scott see Lester, David et al., 2003g:65066Costabile, F. (with Gualtieri, M. I.; Luceri, R.) A new iterativemethod for the computa-tion of the solutions of nonlinear equations. (English summary) 2003b:65051

NUMERICAL ANALYSIS65H05 2003 1876

Dauhoo,M. Z. (with Soobhug, M.) An adaptive weighted bisection method for findingroots of non-linear equations. (English summary)

Deak, Istvan Computer experiences with successive regression approximations for solvingequations. (English summary) 2003c:65041

El-Sayed, SalahM. The modified decomposition method for solving nonlinear algebraicequations. (English summary) 2003k:65046

Gao, Li Xin (withWei, Mu Sheng) An iteration method for determination of the zeros off(x). (Chinese. English summary) 2003f:65085

Garcıa-Fernandez, I. see Casado, L. G. et al., 2003m:65072

Gobel, Manfred An (asymptotic) error bound for the evaluation of polynomials at roots.(English summary) 2003e:65081

Gonnet, Gaston H. A study of iteration formulas for root finding, where mathematics,computer algebra and software engineering meet. (English summary) 2003f:65086

Gualtieri,M. I. see Costabile, F. et al., 2003b:65051Hasanov, V. I. (with Ivanov, Ivan Ganchev;Nedjibov, G.) A newmodification of Newton’smethod. (English summary) (see 2003b:00022)

He, Ji-Huan A new iteration method for solving algebraic equations. (English summary)2003g:65065

Hertling, Peter Topological complexity of zero finding with algebraic operations. (Englishsummary) 2003i:65043

Huang,Qing Long An improvement on a modified Newton method. (Chinese. Englishsummary) 2003m:65073

Iliev, Anton I. (with Kyurkchiev, Nikolaı V.) Some methods for simultaneous extraction ofonly a part of all roots of algebraic polynomials. II. (English summary)

Ivanov, Ivan Ganchev see Hasanov, V. I. et al., (2003b:00022)Kalaıda,Oleksıı F. Two-sided multipoint methods for solving one- and two-dimensionalnonlinear algebraic equations. (Ukrainian. English and Ukrainian summaries)

Karbassi, S. M. (with Shariatnejad,M.) Polynomial zerofinding by elementary operationson Frobenius companion matrix. (English summary) 2003m:65074

Kasturiarachi, A. Bathi Leap-frogging Newton’s method. (English summary) 2003j:65045

Khristov, Vladimir Kh. (with Kyurkchiev, Nikolaı V.) A note on the globally convergentproperties of the Weierstrass-Dochevmethod. 2003m:65075

Kitamoto, Takuya Calculation of the coefficients of approximate roots. (Japanese. Japanesesummary)

Kyurkchiev, Nikolaı V. see Angelov, I., 2003i:65041;Khristov, Vladimir Kh., 2003m:65075and Iliev, Anton I.

Lester, David (with Chambers, Scott; Lu, Heoi Lee) A constructive algorithm for findingthe exact roots of polynomials with computable real coefficients. (English summary)2003g:65066

Liu, Wei Jiang The second equivalence theorem of an eigenvalue method for solving sparsepolynomial equations. (Chinese. English and Chinese summaries)

Livne,Oren E. (with Brandt, Achi) N roots of the secular equation in O(N ) operations.(English summary) 2003m:65076

Lu, Heoi Lee see Lester, David et al., 2003g:65066Luceri, R. see Costabile, F. et al., 2003b:65051Lyashko, Sergei I. see Abramchuk, V. S., 2003b:65050Malajovich,Gregorio (with Zubelli, Jorge P.) On the geometry of Graeffe iteration.(English summary) 2003c:65042

(with Zubelli, Jorge P.) Tangent Graeffe iteration. (English summary) 2003i:65044Malicky, Peter Some error estimates in the Newton method. (English summary)

2003i:65045Nedic, Jelena On convergence of Borsch-Supan’s method with Weierstrass’ corrections.(English summary) 2003a:65039

Nedjibov, G. see Hasanov, V. I. et al., (2003b:00022)Northshield, Sam Associativity of the secant method. 2003a:65040

Otunta, F. O. see Uwamusi, S. E., 2003e:65084Pan, VictorY. Nearly optimal algorithms for univariate polynomial factorizationand rootfinding. II. Computing a basic annulus for splitting. (English summary)2003d:65043

Pavaloiu, Ion The optimal efficiency index of a class of Hermite iterativemethods with twosteps. (English summary) 2003i:65046

Petkovic, L. see Petkovic, Miodrag S. et al., 2003k:65047Petkovic, Miodrag S. (with Petkovic, L.; Zivkovic, Dragan) Laguerre-like methods for thesimultaneous approximation of polynomial zeros. (English summary) 2003k:65047

Comments on some recent methods for the simultaneous determination of polynomialzeros. (English summary) 2003d:65044

Romm, Ya. E. A method for computing zeros and extrema of functions, based on sorting,with an application to search and recognition. I. (Russian. English and Ukrainiansummaries) 2003e:65082A method for computing zeros and extrema of functions, based on sorting, with anapplication to search and recognition. II. (Russian. English and Ukrainian summaries)2003e:65083

Sakurai, Tetsuya (with Sugiura, Hiroshi) Improvement of convergence of an iterativemethod for finding polynomial factors of analytic functions. (English summary)2003m:65077

(with Sugiura, Hiroshi) A method for finding polynomial factors of analytic functions.(Japanese)

Sasaki, Tateaki see Terui, Akira, 2003a:65041Sergeev, Yaroslav D. see Casado, L. G. et al., 2003m:65072

Shariatnejad,M. see Karbassi, S. M., 2003m:65074

Soobhug,M. seeDauhoo, M. Z.Sugiura,Hiroshi see Sakurai, Tetsuya, 2003m:65077

Sun, Fangyu (with Zhang, Xin2) A newmethod of increasing the order of convergence stepby step. (English summary) 2003m:65078

Terui, Akira (with Sasaki, Tateaki) Durand-Kerner method for the real roots. (Englishsummary) 2003a:65041

Calculation of adjacent roots by using upper bounds of infinitesimal univariate algebraicequations. (Japanese)

Tomova, Anna The application of Julia set theory to the modification of both Newton andChebyshev secants methods for solving nonlinear equations. (English summary) (see

2003b:00022)Uwamusi, S. E. (with Otunta, F. O.) A hybrid method for guaranteed interval contractionsfor the simultaneous determination of zeros of polynomial equations. (English andArabic summaries) 2003e:65084

Vasil′eva, V. N. Estimates for the roots of equations with respect to the parameter ofTikhonov’s regularizationmethod. (Russian. Russian summary) 2003h:65065

Wei, Mu Sheng see Gao, Li Xin, 2003f:65085Winkler, Joab R. A comparison of the average case numerical condition of the power andBernstein polynomial bases. (English summary) 2003d:65045

Wu, Xin Yuan On zeros of polynomial and vector solutions of associated polynomialsystem from Vieta theorem. (English summary)

Zhang, Xin2 see Sun, Fangyu, 2003m:65078Zivkovic, Dragan see Petkovic, Miodrag S. et al., 2003k:65047Zubelli, Jorge P. seeMalajovich, Gregorio, 2003c:65042 and 2003i:65044

Items with secondary classifications in 65H05

Claudio, D. M. (with Dobner, Hans-Jurgen) A new approach for solving equations withinterval coefficients. (English summary) 2003f:65082

Deak, Istvan Successive regression approximations for solving equations. (Englishsummary) 2003b:62134

Dobner, Hans-Jurgen see Claudio, D. M., 2003f:65082Duan, Xiao Dong (with Liu, Xiang Dong1; Yan, De Jun) One class of Julia fractal patternsand their constructions. (English and Chinese summaries) 2003e:28017

Ezquerro, Jose A. (with Gutierrez Jimenez, Jose Manuel; Hernandez Veron, Miguel A.;Salanova, M. Amparo) Halley’smethod: perhaps the most “rediscovered”method in theworld. (Spanish. English summary) 2003b:65003

Fortune, Steven An iterated eigenvalue algorithm for approximating roots of univariatepolynomials. (English summary) 2003e:13039

Geum, YoungHee (with Kim, Young Ik) An improved computation of component centersin the degree-n bifurcation set. (English summary) 2003f:37077

Gutierrez Jimenez, Jose Manuel see Ezquerro, Jose A. et al., 2003b:65003Hawkins, Jane M. McMullen’s root-finding algorithm for cubic polynomials. (Englishsummary) 2003k:37062

He, Wei4 (with Prabhu, Nagabhushana) A globally convergent method for finding zeros ofsmooth functions. (English summary) 2003f:65094

Hernandez Veron, Miguel A. see Ezquerro, Jose A. et al., 2003b:65003Ikhile, M. N. O. On the convergence of some interval methods for simultaneous computa-tion of polynomial zeros. (English summary) 2003h:65063

Kim, Young Ik see Geum, YoungHee, 2003f:37077Kosmol, Peter see Sun, Fangyu, 2003b:65049Kriete, Hartje On the Newton’s method for transcendental functions. (English summary)

2003a:37056

Linden, Hansjorg Containment regions for zeros of polynomials from numerical ranges ofcompanion matrices. (English summary) 2003d:30008

Liu, Xiang Dong1 see Duan, Xiao Dong et al., 2003e:28017Luck, Rogelio (with Stevens, JamesW.) Explicit solutions for transcendental equations.(English summary) 2003g:30009

Pan, VictorY. Univariate polynomials: nearly optimal algorithms for numerical factoriza-tion and root-finding. (English summary) 2003f:13030

Petersen, Vigdis Brevik Multiple zeros in frequency analysis: the T (r)-process. (Englishsummary) 2003i:42036

Plaza S., Sergio Numerical methods: a dynamical point of view. (Spanish) 2003k:37064

Conjugacies classes of some numerical methods. (English summary) 2003a:65117

Prabhu, Nagabhushana see He, Wei4, 2003f:65094Salanova,M. Amparo see Ezquerro, Jose A. et al., 2003b:65003Schleicher, Dierk On the number of iterations of Newton’s method for complex polynomi-als. (English summary) 2003h:37069

Segura, Javier The zeros of special functions from a fixed point method. (Englishsummary) 2003k:33031

Siegel, Paul H. seeWu, Xin-Wen, 2003b:94075Stevens, James W. see Luck, Rogelio, 2003g:30009Sun, Fangyu (with Kosmol, Peter) A new simultaneous method of fourth order for findingcomplex zeros in circular interval arithmetic. (English summary) 2003b:65049

Tomova, Anna Problems and solutions by the application of Julia set theory to one-dot andmulti-dots numerical methods. (English summary) 2003h:37071

Wu, Xin-Wen (with Siegel, PaulH.) Efficient root-finding algorithm with application to listdecoding of algebraic-geometric codes. (English summary) 2003b:94075

Xu, Peiliang A hybrid global optimization method: the one-dimensional case. (Englishsummary) 2003h:90082

Yan, De Jun see Duan, Xiao Dong et al., 2003e:28017Zhao, Xue Feng An improved Newton iteration method and its fractal images. (Chinese.English and Chinese summaries)

65H10 Systems of equations

Adeyeye, J. O. see Uko, Livinus U., 2003m:65086

Adler, Roy L. (with Dedieu, Jean-Pierre; Margulies, Joseph Y.; Martens, Marco; Shub,Michael) Newton’s method on Riemannian manifolds and a geometric model for thehuman spine. (English summary) 2003j:65046

Argyros, IoannisK. A unified approach for constructing fast two-step Newton methods.(English summary)(with Verma, Ram U.) Local convergence of iterativemethods under affine invari-ant conditions and hypotheses on the mth Frechet derivative. (English summary)2003a:65042The asymptoticmesh independence principle for Newton-Galerkinmethods using twiceFrechet differentiable operators. (English summary) 2003a:65043

Arnal, Josep (withMigallon, Violeta; Penades, Jose) Non-stationary parallel Newtoniterativemethods for nonlinear problems. (English summary) 2003e:65085

Asaolu, O. S. see Ibidapo-Obe,O. et al., 2003a:65045

65H Nonlinear algebraic or transcendental equations1877 2003 65H10

Attili, B. S. An iterativemethod for solving nonlinear operator equations using generalizeddivided differences. (English summary) 2003b:65052

Badiru, A. B. see Ibidapo-Obe,O. et al., 2003a:65045Bai, Feng Shan see Liang, Heng, 2003k:65051Beligiannis,G. N. see Tsirogiannis, G. A. et al.

Bellavia, Stefania (withMacconi, Maria; Morini, Benedetta) A hybrid Newton-GMRESmethod for solving nonlinear equations. (English summary) (see 2003e:65003)(withMacconi, Maria; Morini, Benedetta) An affine scaling trust-region approach tobound-constrained nonlinear systems. (English summary) 2003m:65079

Belykh, T. I. see Bulatov, V. P. et al., (2003e:00028)Brezhneva,O. A. (with Tret′yakov, A. A.; Khmura, A.) A modified 2-factormethod forsolving systems of nonlinear equations. (Russian. Russian summary) 2003b:65053(with Izmailov, Alekseı Feridovich) Construction of defining systems for finding singularsolutions of nonlinear equations. (Russian. Russian summary) 2003b:65054

Bulatov, V. P. (with Belykh, T. I.; Gankhuyag, D.) Numerical methods for finding solutionsof systems of nonlinear algebraic equations, and global optimization methods. (Russian.Russian summary) (see 2003e:00028)

Cai, Dayong see Chen, Yurong, 2003m:65080Cai, Xiao-Chuan (with Keyes, David E.) Nonlinearly preconditioned inexact Newtonalgorithms. (English summary) 2003g:65067

Catinas, Emil On the superlinear convergence of the successive approximations method.(English summary) 2003e:65086

Ceberio,Martine (with Granvilliers, Laurent) Solving nonlinear systems by constraintinversion and interval arithmetic. (English summary) 2003a:65044

Chen, Guo Zhang (with Chen, Hao; He, Pi Lian) Parallel algorithms for solving nonlinearsystems of equations. (Chinese. English and Chinese summaries)

Chen,Hao see Chen, Guo Zhang et al.Chen, Yuan Yuan seeWang, Chang Yu et al.

Chen, Yurong (with Cai, Dayong) Inexact overlapped block Broyden methods for solvingnonlinear equations. (English summary) 2003m:65080

Dan, Hiroshige (with Yamashita, Nobuo; Fukushima, Masao) Convergence properties ofthe inexact Levenberg-Marquardtmethod under local error bound conditions. (Englishsummary) 2003k:65048

Dedieu, Jean-Pierre (with Kim, Myong-Hi) Newton’s method for analytic systems ofequations with constant rank derivatives. (English summary) 2003b:65055(with Kim, Myong-Hi; Shub, Michael; Tisseur, Francoise) Implicit gamma theorems. I.Pseudoroots and pseudospectra. (English summary) 2003k:65049see also Adler, Roy L. et al., 2003j:65046

Dellnitz,Michael (with Schutze, Oliver; Sertl, Stefan) Finding zeros by multilevelsubdivision techniques. (English summary) 2003e:65087

Dian, Jianwei see Kearfott, R. Baker, 2003g:65068Du, Shou Qiang seeWang, Chang Yu et al.

Ezquerro, Jose A. (with Hernandez Veron, Miguel A.) Generalized differentiabilityconditions for Newton’s method. (English summary) 2003f:65087

Ferrante, Augusto (with Lepschy, A.; Viaro, U.) A variant of a convergent fixed-pointalgorithm that avoids computing Jacobians. (English summary) 2003i:65047

Frontini,M. (with Sormani, E.) Some variant of Newton’s method with third-orderconvergence. (English summary) 2003m:65081

Fu, Yong Gang Convergence acceleration for Newton’s method at a singular point.(Chinese. English summary)

Fukushima,Masao see Dan, Hiroshige et al., 2003k:65048Galligani, Emanuele A two-stage iterativemethod for solving weakly nonlinear systems.(English summary) 2003d:65046A two-stage iterativemethod for solving a weakly nonlinear parametrized system.(English summary)The Newton-arithmeticmean method for the solution of systems of nonlinear equations.(English summary) 2003f:65088

Gankhuyag,D. see Bulatov, V. P. et al., (2003e:00028)Gao, Dong-mei (with Gao, Yan1) Newton method and inexact-Newtonmethod for solvingsingular nonsmooth equations. (English and Chinese summaries) 2003j:65047

Gao, Yan1 see Gao, Dong-mei, 2003j:65047Gould, Nicholas I. M. (with Orban, Dominique; Sartenaer, Annick; Toint, Philippe L.)Componentwise fast convergence in the solution of full-rank systems of nonlinearequations. (English summary) 2003e:65088

Granvilliers, Laurent see Ceberio, Martine, 2003a:65044Gu, Guang-Ze (with Li, Dong Hui1; Qi, Liqun; Zhou, Shu Zi) Descent directions of quasi-Newton methods for symmetric nonlinear equations. (English summary) 2003m:65082

Gutierrez Jimenez, Jose Manuel (with Hernandez Veron, Miguel A.) Newton’s methodunder different Lipschitz conditions. (English summary) (see 2003e:65003)

Guttalu, Ramesh S. see Zufiria, Pedro J., 2003f:65092Hassanov, Vejdi (with Ivanov, Ivan Ganchev) Positive definite solutions of the equationX +A∗X−nA= I . (English summary) (see 2003e:65003)

He, Pi Lian see Chen, Guo Zhang et al.HernandezVeron, Miguel A. see Ezquerro, Jose A., 2003f:65087 and Gutierrez Jimenez,

Jose Manuel, (2003e:65003)Hou, Xiao Rong see Xia, Bican, 2003h:65068Huang, ZhengDa On Newton’s method under Holder continuous derivative. (Englishsummary) 2003f:65089

Ibidapo-Obe,O. (with Asaolu, O. S.; Badiru, A. B.) A new method for the numericalsolution of simultaneous nonlinear equations. (English summary) 2003a:65045

Ivanov, Ivan Ganchev see Hassanov, Vejdi, (2003e:65003)Izmailov, Alekseı Feridovich see Brezhneva, O. A., 2003b:65054Jiang, Dong Dong (with Shen, Shuo) Convergence for deformedNewton’s iterations underweak conditions. (Chinese. English and Chinese summaries)

Kacewicz, Bolesław How to minimize the cost of iterativemethods in the presence ofperturbations. (English summary) 2003k:65050

Kazimov, J. K. Synchronous parallel algorithm for an iterated Newtonian process. (Englishand Azerbaijani summaries) 2003m:65083

Kearfott, R. Baker (with Dian, Jianwei) Verifying topological indices for higher-order rankdeficiencies. (English summary) 2003g:65068

On existence and uniqueness verification for non-smooth functions. (English summary)2003h:65066

Keyes, David E. see Cai, Xiao-Chuan, 2003g:65067Khmura, A. see Brezhneva, O. A. et al., 2003b:65053Kim, Myong-Hi see Dedieu, Jean-Pierre et al., 2003b:65055 and 2003k:65049

Lecerf, G. Quadratic Newton iteration for systems with multiplicity. (English summary)2003f:65090

Lepschy, A. see Ferrante, Augusto et al., 2003i:65047Li, Dong Hui1 see Tong, Xiaojiao et al., 2003j:65049 and Gu, Guang-Ze et al., 2003m:65082

Li, Hui Ru2 Global convergence analysis for Newton-typemethods for nonsmoothequations. (English and Chinese summaries)

Liang, Heng (with Bai, Feng Shan) An inexactNewton method for symmetric indefiniteproblems. (Chinese. English summary) 2003k:65051

Likothanassis, S. D. see Tsirogiannis, G. A. et al.Liu, Xing Guo2 see Zeng, Jin Ping

Luzanin, Zorana (with Rapajic, Sanja) Convergence acceleration of a general Newtonmethod for systems of nonlinear equations. (English summary) 2003a:65046

Macconi,Maria see Bellavia, Stefania et al., 2003m:65079and (2003e:65003)Margulies, Joseph Y. see Adler, Roy L. et al., 2003j:65046Martens, Marco seeAdler, Roy L. et al., 2003j:65046Matsunaga, Nami Smoothing Newton method for nonsmooth equations. (Japanese)Mayer, Jan A generalized theorem of Miranda and the theorem of Newton-Kantorovich.(English summary) 2003f:65091

Menck, J. An approximate Newton-like coupling of subsystems. (English summary)2003a:65047

Migallon, Violeta see Arnal, Josep et al., 2003e:65085Milaszewicz, J. P. On Brown’s and Newton’s methods with convexity hypotheses. (Englishsummary) 2003k:65052

Moore, Ramon E. Sparse systems in fixed point form. (English summary) 2003e:65089

Morini, Benedetta see Bellavia, Stefania et al., 2003m:65079 and (2003e:65003)Mourrain, Bernard (with Vrahatis, M. N.; Yakoubsohn, J. C.) On the complexity ofisolating real roots and computing with certainty the topological degree. (Englishsummary) 2003j:65048

Ogasawara, Hideho On local and superlinear convergence of secant methods for nonlinearequations. (English summary) 2003g:65069

Orban, Dominique see Gould, Nicholas I. M. et al., 2003e:65088Penades, Jose see Arnal, Josep et al., 2003e:65085Podlevs′kiı, B. M. On a method for constructing two-sided iterativemethods for solvingnonlinear equations. (Ukrainian. English, Russian and Ukrainian summaries)2003m:65084

Pu, Ding Guo (with Tian, Wei Wen) Globally convergent inexact generalized Newton’smethods for nonsmooth equations. (English summary) 2003a:65048

Qi, Liqun see Tong, Xiaojiao et al., 2003j:65049 and Gu, Guang-Ze et al., 2003m:65082Rapajic, Sanja see Luzanin, Zorana, 2003a:65046Reed, Martin Brian An H-form variant of the partitioned QN method. (English summary)Riaza, Ricardo (with Zufiria, Pedro J.) Discretization of implicit ODEs for singular root-finding problems. (English summary) 2003h:65067

Sartenaer, Annick see Gould, Nicholas I. M. et al., 2003e:65088Schutze, Oliver see Dellnitz, Michael et al., 2003e:65087Sertl, Stefan see Dellnitz,Michael et al., 2003e:65087Shakhno, S. M. Investigation of Newton methods in which inner iterative processes areused. (Ukrainian. English, Russian and Ukrainian summaries) 2003m:65085

Shellman, Spencer (with Sikorski, Krzysztof Aleksander) A two-dimensional bisectionenvelope algorithm for fixed points. (English summary) 2003g:65070

Shen, Shuo see Jiang, Dong DongShub, Michael see Adler, Roy L. et al., 2003j:65046 and Dedieu, Jean-Pierre et al.,

2003k:65049Sikorski, Krzysztof Aleksander see Shellman, Spencer, 2003g:65070Sormani, E. see Frontini, M., 2003m:65081Tanaka, Shigeru1 see Yamamura, Kiyotaka, 2003e:65090Tian, Wei Wen see Pu, Ding Guo, 2003a:65048Tisseur, Francoise see Dedieu, Jean-Pierre et al., 2003k:65049Toint, Philippe L. see Gould, Nicholas I. M. et al., 2003e:65088Tong, Xiaojiao (with Li, Dong Hui1; Qi, Liqun) An iterativemethod for solvingsemismooth equations. (English summary) 2003j:65049

Tret′yakov, A. A. see Brezhneva, O. A. et al., 2003b:65053Tsirogiannis, G. A. (with Beligiannis, G. N.; Likothanassis, S. D.; Vrahatis, M. N.)Evolutionary algorithms for computing zeros of nonlinear functions. (English summary)

Uko, Livinus U. (with Velasquez Ossa, Raul Eduardo) Convergence analysis of a one-stepintermediateNewton iterative scheme. (English summary) 2003c:65043

(with Adeyeye, J. O.) A smooth generalized Newton method for a class of nonsmoothequations. (English summary) 2003m:65086

Velasquez Ossa, Raul Eduardo see Uko, Livinus U., 2003c:65043Verma, Ram U. see Argyros, Ioannis K., 2003a:65042Viaro, U. see Ferrante, Augusto et al., 2003i:65047Vrahatis, M. N. seeMourrain, Bernard et al., 2003j:65048 and Tsirogiannis, G. A. et al.Wang, Chang Yu (with Chen, Yuan Yuan; Du, Shou Qiang) Global convergence of a kindof modified Shamanskii Newton method. (Chinese. English and Chinese summaries)

Wang, De Ren see Zhang, Jian Jun, 2003j:65050Wolfe, Michael A. Bounding perturbations in zeros of nonlinear systems. (Englishsummary) 2003c:65044

Xia, Bican (with Hou, Xiao Rong) A complete algorithm for counting real solutions ofpolynomial systems of equations and inequalities. (English summary) 2003h:65068

Yakoubsohn, J. C. seeMourrain, Bernard et al., 2003j:65048Yamamura, Kiyotaka (with Tanaka, Shigeru1) Finding all solutions of systems ofnonlinear equations using the dual simplex method. (English summary) 2003e:65090

Yamashita, Nobuo see Dan, Hiroshige et al., 2003k:65048Zeng, Jin Ping (with Liu, Xing Guo2) Applications of natural level functions in thedamped Newton method for ill-conditioned systems of nonlinear equations. (Chinese.English and Chinese summaries)

NUMERICAL ANALYSIS65H10 2003 1878

Zhang, Jian Jun (withWang, De Ren) A generalized numerical embedding method forsolving systems of nonsmooth equations. II. Algorithm and application. (Chinese.English summary) 2003j:65050

Zhang, Zhen A note on weaker convergence conditions for Newton iteration. (Chinese.English and Chinese summaries)

Zhou, Shu Zi see Gu, Guang-Ze et al., 2003m:65082

Zufiria, Pedro J. (with Guttalu, Ramesh S.) On the role of singularities in Branin’s methodfrom dynamic and continuation perspectives. (English summary) 2003f:65092see also Riaza, Ricardo, 2003h:65067


Argyros, IoannisK. Relations between forcing sequences and inexactNewton-like iteratesinvolvingmth Frechet differentiable operators. (English summary) 2003d:65050Relations between Newton’s method and its discretizations using center Lipschitzconditions. (English summary)The asymptoticmesh independence principle for Newton-Galerkinmethods using twiceFrechet differentiable operators without Lipschitz conditions. (English summary)Perturbed Newton methods in generalized Banach spaces. (English summary)2003b:47100On the solution of nonlinear equations under Holder continuity assumptions. (Englishsummary) 2003b:47101On the convergence of Newton’s method for analytic operators. (English summary)A local convergence analysis and applications of Newton’s method under weakassumptions. (English summary)Semilocal convergence for Newton’s method on a Banach space with a convergencestructure and twice Frechet differentiable operators. (English summary)


Babich,M. D. (withMorozova, T. A.; Shevchuk, L. B.) On the accuracy and complexity ofcomputations in the global solution of systems of nonlinear scalar equations. (Russian.English, Russian and Ukrainian summaries) (see 2003b:00017)

Bayram, Mustafa (with Celik, Ercan) Simultaneous solution of polynomial equations.(English summary) 2003i:13035

Ben-Israel, Adi see Levin, Yu. G. et al., 2003b:49034Boyd, John Philip Deleted residuals, the QR-factored Newton iteration, and other methodsfor formally overdetermined determinate discretizations of nonlinear eigenproblems forsolitary, cnoidal, and shock waves. (English summary) 2003c:76082

Catinas, Emil A note on the quadratic convergence of the inexact Newton methods.(English summary) 2003i:65049

Celik, Ercan see Bayram, Mustafa, 2003i:13035Chambers, Jonathon see Luo, Yuhui, (2003d:94003)Chen, Ke1 (with Hussein, Anwar; Wan, Hai-Bin) An analysis of Seydel’s test functionmethods for nonlinear power flow equations. (English summary) 2003g:65159

Dai, Yuhong (with Yuan, Ya Xiang) A note on the nonlinear conjugate gradient method.(English summary) 2003h:90112

(with Ni, Qin) Testing different conjugate gradient methods for large-scale uncon-strained optimization. (English summary)

D’Andrea, Carlos Macaulay style formulas for sparse resultants. (English summary)2003a:13032

El-Alem, MahmoudM. see El-Sayed, Salah M., 2003c:15016El-Sayed, SalahM. (with El-Alem, Mahmoud M.) Some properties for the existence ofa positive definite solution of matrix equation X +A8X−2mA= I . (English summary)2003c:15016

Emiris, Ioannis Z. Enumerating a subset of the integer points inside a Minkowski sum.(English summary) 2003c:90062

Farago, Istvan see Axelsson, Owe et al., 2003j:65025Fujisawa, Katsuki see Takeda, Akiko et al., 2003f:65108Fukushima,Masao see Li, Dong Hui1, 2003c:90145Gao, Tangan (with Li, Tien-Yien) Mixed volume computation for semi-mixed systems.(English summary) 2003m:52008

Gardenes, Ernest see Sainz,Miguel A. et al., 2003e:65078Gasparo, Maria Grazia see Pieraccini, Sandra et al., 2003j:90063Granvilliers, Laurent On the combination of interval constraint solvers. (English summary)

2003f:65083

Guo, Chun-Hua Iterative solution of a matrix Riccati equation arising in stochastic control.(English summary) 2003c:15017

He, Charlie (withMeini, Beatrice; Rhee, N. H.) A shifted cyclic reduction algorithm forquasi-birth-death problems. (English summary) 2003e:15025

Henderson,Michael E. Multiple parameter continuation: computing implicitly defined k-manifolds. (English summary) 2003a:37122

HernandezVeron, Miguel A. (with Rubio, M. Jesus) Semilocal convergence of the secantmethod under mild convergence conditions of differentiability. (English summary)2003d:65052

Huang, ZhengDa Convergence of the secant method in Banach spaces. (Chinese. Englishand Chinese summaries) 2003e:65096

Hussein, Anwar see Chen, Ke1 et al., 2003g:65159Jorba, Lambert see Sainz,Miguel A. et al., 2003e:65078Kalaıda,Oleksıı F. Two-sided multipoint methods for solving one- and two-dimensionalnonlinear algebraic equations. (Ukrainian. English and Ukrainian summaries)

Kaltenbacher, Barbara (with Neubauer, Andreas; Ramm, Alexander G.) Convergence ratesof the continuous regularized Gauss-Newton method. (English summary) 2003h:47127

Karatson, Janos see Axelsson, Owe et al., 2003j:65025Kobayashi,Masaki2 (with Uematsu, Kouyu) The optimal model with passenger’ssatisfaction of railroad. (English summary)

Kojima,Masakazu see Takeda, Akiko et al., 2003f:65108Kraus, J. K. An algebraic preconditioning method forM -matrices: linear versus non-linearmultilevel iteration. (English summary) 2003k:65029

Lai, Ming-Jun seeWang, Xing Hua1 et al., 2003c:65047Levin, Yu. G. (with Nedyak, M. S.; Ben-Israel, Adi) A direct Newton method for calculusof variations. (English summary) 2003b:49034

Li, Chong1 (with Zhang, Wen Hong) Convergence ball of Gauss-Newton’s method foruniqueness ball of the solution. (Chinese. English summary) 2003e:90054

see alsoWang, Xing Hua1 et al., 2003c:65047Li, Dong Hui1 (with Fukushima, Masao) Globally convergent Broyden-like methods forsemismooth equations and applications to VIP, NCP and MCP. (English summary)2003c:90145

Li, Tien-Yien (withWang, Xiaoshen; Wu, Mengnien) Numerical Schubert calculus by thePieri homotopy algorithm. (English summary) 2003f:14059

see also Gao, Tangan, 2003m:52008

Luo, Yuhui (with Chambers, Jonathon) Quasi-Newton cross-correlation and constantmodulus adaptive algorithm for space-time blind equalization. (English summary) (see2003d:94003)

Lyul′ko, A. V. see Zhadan, V. G., 2003k:90073Mahony, Robert E. (withManton, Jonathan H.) The geometry of the Newton method onnon-compact Lie groups. (English summary) 2003g:90114

Manton, JonathanH. seeMahony, Robert E., 2003g:90114Meini, Beatrice Efficient computation of the extreme solutions of X +A∗X−1A=Q andX −A∗X−1A=Q. (English summary) 2003c:15018

see also He, Charlie et al., 2003e:15025Morozova, T. A. see Babich,M. D. et al., (2003b:00017)Mourrain, Bernard (with Ruatta, Olivier) Relations between roots and coefficients,interpolation and application to system solving. (English summary) 2003j:13041

Nedyak, M. S. see Levin, Yu. G. et al., 2003b:49034Neubauer, Andreas see Kaltenbacher, Barbara et al., 2003h:47127Ni, Qin see Dai, Yuhong

Pasquali, Aldo see Pieraccini, Sandra et al., 2003j:90063Phillips, George N., Jr. seeWu, Zhijun et al., 2003a:90041Pieraccini, Sandra (with Gasparo, Maria Grazia; Pasquali, Aldo) Global Newton-typemethods and semismooth reformulations for NCP. (English summary) 2003j:90063

Qi, Houduo see Sun, De Feng et al., 2003j:90064Qi, Liqun (with Sun, De Feng; Zhou, Guanglu) A primal-dual algorithm for minimizing asum of Euclidean norms. (English summary) 2003i:90053

Ramm, AlexanderG. see Kaltenbacher, Barbara et al., 2003h:47127Rhee, N. H. see He, Charlie et al., 2003e:15025Ruatta, Olivier seeMourrain, Bernard, 2003j:13041Rubio, M. Jesus see HernandezVeron, Miguel A., 2003d:65052Sainz, Miguel A. (with Gardenes, Ernest; Jorba, Lambert) Interval estimations of solutionsets to real-valued systems of linear or non-linear equations. (English summary)2003e:65078

Shevchuk, L. B. see Babich, M. D. et al., (2003b:00017)Sturmfels, Bernd Solving systems of polynomial equations. (English summary)

2003i:13037Sun, De Feng (withWomersley, Robert S.; Qi, Houduo) A feasible semismooth asymp-totically Newton method for mixed complementarity problems. (English summary)2003j:90064

see also Qi, Liqun et al., 2003i:90053Takeda, Akiko (with Kojima, Masakazu; Fujisawa, Katsuki) Enumeration of all solutionsof a combinatorial linear inequality system arising from the polyhedral homotopycontinuation method. (English summary) 2003f:65108

Tapia, Richard seeWu, Zhijun et al., 2003a:90041Uematsu, Kouyu see Kobayashi,Masaki2

Ulbrich, Michael Nonmonotone trust-region methods for bound-constrained semismoothequations with applications to nonlinear mixed complementarity problems. (Englishsummary) 2003e:90095

Wan, Hai-Bin see Chen, Ke1 et al., 2003g:65159Wang, Xiaoshen see Li, Tien-Yien et al., 2003f:14059Wang, Xing Hua1 (with Li, Chong1; Lai, Ming-Jun) A unified convergence theory forNewton-type methods for zeros of nonlinear operators in Banach spaces. (Englishsummary) 2003c:65047

Womersley, Robert S. see Sun, De Feng et al., 2003j:90064Wu, Mengnien see Li, Tien-Yien et al., 2003f:14059Wu, Zhijun (with Phillips, George N., Jr.; Tapia, Richard; Zhang, Yin1) A fast Newtonalgorithm for entropy maximization in phase determination. (English summary)2003a:90041

Xia, Bican (with Yang, Lu) An algorithm for isolating the real solutions of semi-algebraicsystems. (English summary) 2003i:68155

Yamamura, Kiyotaka Finding all solution sets of piecewise-trapezoidal equations describedby set-valued functions. (English summary)

Yang, Lu see Xia, Bican, 2003i:68155Yuan, Ya Xiang see Dai, Yuhong, 2003h:90112Zhadan, V. G. (with Lyul′ko, A. V.) Метод Ньютона с наискореишим спуском для

линеинои задачи дополнительности. (Russian) [The Newton method with steepestdescent for the linear complementarity problem] 2003k:90073

Zhang, Wen Hong see Li, Chong1, 2003e:90054Zhang, Yin1 seeWu, Zhijun et al., 2003a:90041Zhou, Guanglu see Qi, Liqun et al., 2003i:90053

65H17 Eigenvalues, eigenvectors [see also 47Hxx, 47Jxx, 58C40,58E07, 90C30]

Choi, Yung Sze (with Koltracht, I.; McKenna, P. J.; Savytska, N.) Global monotoneconvergence of Newton iteration for a nonlinear eigen-problem. (English summary)2003j:65051

Ishihara, Kazuo Descent iterations for improving approximate eigenpairs of polynomialeigenvalue problems with general complex matrices. (English summary) 2003f:65093

Koltracht, I. see Choi, Yung Sze et al., 2003j:65051Li, Kai Tai seeWang, Li Zhou, 2003j:65052McKenna, P. J. see Choi, Yung Sze et al., 2003j:65051Savytska, N. see Choi, Yung Sze et al., 2003j:65051

65J Numerical analysis in abstract spaces1879 2003 65J10

Wang, Li Zhou (with Li, Kai Tai) One step Newton-iterations of the extended system forthe nondegenerate turning point of the Navier-Stokes equations. (Chinese. English andChinese summaries) 2003j:65052

Items with secondary classifications in 65H17Adams, Ernst W. (with Plum, Michael) Free and forced vibrations of trusses by Fourierdecomposition, and homotopy methods for nonlinear matrix eigenvalue problems. II.Properties and supplements. (English summary) 2003m:74049

Boyd, John Philip Deleted residuals, the QR-factored Newton iteration, and other methodsfor formally overdetermined determinate discretizations of nonlinear eigenproblems forsolitary, cnoidal, and shock waves. (English summary) 2003c:76082

Galligani, Emanuele A two-stage iterativemethod for solving a weakly nonlinearparametrized system. (English summary)

Perotti, F. see Simoncini, Valeria, 2003k:65033Plum, Michael see Adams, Ernst W., 2003m:74049Simoncini, Valeria (with Perotti, F.) On the numerical solution of (12A+ 1B + C )x = band application to structural dynamics. (English summary) 2003k:65033

65H20 Global methods, including homotopy approaches[see also 58C30, 90C30]

Aizengendler, Peter Newton’s diagram method for nonlinear equations with several smallparameters. (English summary) 2003h:65069

Birgin, Ernesto G. (with Krejic, N.; Martınez, Jose Mario) Solution of bounded nonlinearsystems of equations using homotopies with inexact restoration. (English summary)

He, Wei4 (with Prabhu, Nagabhushana) A globally convergent method for finding zeros ofsmooth functions. (English summary) 2003f:65094

Krejic, N. see Birgin, Ernesto G. et al.Martınez, Jose Mario see Birgin, Ernesto G. et al.Prabhu, Nagabhushana see He, Wei4, 2003f:65094Shukla, D. P. see Tiwari, P. C.Syam, Muhammed I. Interpolation predictors over implicitly defined curves. (Englishsummary) 2003j:65053

Tiwari, P. C. (with Shukla, D. P.) On computation of triangulation with piecewise linearityand separability. (English summary)

Watson, Layne T. Probability-one homotopies in computational science. (Englishsummary) 2003h:65070


Adams, Ernst W. (with Plum, Michael) Free and forced vibrations of trusses by Fourierdecomposition, and homotopy methods for nonlinear matrix eigenvalue problems. I.Methods. (English summary) 2003i:74026

Baguet, S. (with Cochelin, B.) On the behaviour of the ANM continuation in the presenceof bifurcations. (English summary)

Bai, Gen Zhu see Lin, ZhengHua et al., 2003m:90089

Cochelin,B. see Baguet, S.Gervais, Jean-Jacques (with Sadiky, Hassan) A new steplength control for continuationwith the asymptotic numerical method. (English summary) 2003a:47126

Gould, Nicholas I. M. (with Orban, Dominique; Sartenaer, Annick; Toint, Philippe L.)Componentwise fast convergence in the solution of full-rank systems of nonlinearequations. (English summary) 2003e:65088

He, Ji-Huan Application of topological technology to construction of a perturbationsystem for a strongly nonlinear equation. (English summary) 2003h:47126

Lin, ZhengHua (with Sheng, Zhong Ping; Yang, Li; Bai, Gen Zhu) A predictor-correctoralgorithm for tracing combined interior homotopy pathway. (Chinese. English summary)2003m:90089

(with Yu, Bo1; Zhu, Daoli) A continuation method for solving fixed points of self-mappings in general nonconvex sets. (English summary) 2003j:58012

Orban, Dominique see Gould, Nicholas I. M. et al., 2003e:65088Plum, Michael see Adams, Ernst W., 2003i:74026Sadiky,Hassan see Gervais, Jean-Jacques,2003a:47126Sartenaer, Annick see Gould, Nicholas I. M. et al., 2003e:65088Sheng, Zhong Ping see Lin, ZhengHua et al., 2003m:90089Soriano Arbizu, J. M. On the existence of zero points of a continuous function. (Englishsummary) 2003b:58010A second zero of a function. (English summary) 2003f:58019

Toint, Philippe L. see Gould, Nicholas I. M. et al., 2003e:65088Yang, Li see Lin, ZhengHua et al., 2003m:90089Yu, Bo1 see Lin, Zheng Hua et al., 2003j:58012Zhu, Daoli see Lin, ZhengHua et al., 2003j:58012

65Jxx Numerical analysis in abstract spaces

65J05 General theory

Allgower, Eugene L. (with Sommese, Andrew J.) Piecewise linear approximation of smoothcompact fibers. (English summary) 2003j:65054

Babolian, E. see Biazar, J. et al.Beylkin, Gregory (withMohlenkamp, Martin J.) Numerical operator calculus in higherdimensions. (English summary) 2003h:65071

Biazar, J. (with Babolian, E.; Kember, G.; Nouri, Alireza; Islam, Rafiqul M.) An alternatealgorithm for computing Adomian polynomials in special cases. (English summary)

Dahmen, Wolfgang (with Kunoth, Angela; Schneider, Reinhold) Wavelet least squaresmethods for boundary value problems. (English summary) 2003d:65047

Gulin, A. V. The stability boundary of certain two-layer and three-layer difference schemes.(English summary) (see 2003e:65003)

Ignatenko,Marina V. (with Yanovich, Leonid A.) Newton type operator interpolationformulas based on interpolation by means of rational functions. (English summary)2003h:65072

Islam, Rafiqul M. see Biazar, J. et al.

Kember, G. see Biazar, J. et al.Kunoth, Angela see Dahmen, Wolfgang et al., 2003d:65047Mohlenkamp,Martin J. see Beylkin, Gregory, 2003h:65071Moudafi, Abdellatif (with Oliny, M.) Convergence of a splitting inertial proximal methodfor monotone operators. (English summary)

Nouri, Alireza see Biazar, J. et al.Oliny, M. seeMoudafi, Abdellatif

Schneider, Reinhold see Dahmen, Wolfgang et al., 2003d:65047Sommese, Andrew J. see Allgower, Eugene L., 2003j:65054Tsiklauri, Mikheil High order of accuracy decomposition method for an evolution problemwith variable operator. (English summary) 2003k:65053

Xu, Jinchao (with Zikatanov, Ludmil) The method of alternating projections and themethod of subspace corrections in Hilbert space. 2003f:65095

Yanovich, Leonid A. see Ignatenko,Marina V., 2003h:65072Youssef, Ahmed H. Some estimation properties of the random coefficients regression.(English summary) 2003c:65045

Zhang, Hong Zhi Research on the fixed point of iterative functions. (Chinese. Englishsummary) 2003a:65049

Zikatanov, Ludmil see Xu, Jinchao, 2003f:65095

Items with secondary classifications in 65J05

Ahues, Mario (with Titaud, Olivier) Spectral approximation of weakly singular integrablekernels using projections. 2003g:65160

Ayad, Ahmet The numerical solution of first order delay integro-differential equations byspline functions. (English summary) 2003b:65137

Bauschke, Heinz H. Projection algorithms: results and open problems. (English summary)2003a:90086

(with Borwein, Jonathan M.) Joint and separate convexity of the Bregman distance.(English summary) 2003b:90129

Borwein, JonathanM. see Bauschke,Heinz H., 2003b:90129Dobronets, B. S. (with Roshchina, E. L.) Applications of interval sensitivity analysis.(Russian. English summary) 2003e:65074

Hager, William W. Numerical analysis in optimal control. (English summary) 2003f:49061Li, Youming1 Applicability of Smolyak’s algorithms to certain Banach spaces of multivari-ate functions. (English summary) 2003j:41052

Nakao, Mitsuhiro T. see Ryoo, Cheon Seoung, 2003f:65111Ostermann, Alexander Stability ofW -methods with applications to operator splitting andto geometric theory. (English summary) 2003g:65130

Plaskota, Leszek (with Ritter, Klaus; Wasilkowski, Grzegorz W.) Average case complexityof weighted approximation and integration overR+. (English summary) 2003c:41007

Ritter, Klaus see Plaskota, Leszek et al., 2003c:41007Roshchina, E. L. see Dobronets, B. S., 2003e:65074Ryoo, Cheon Seoung (with Nakao,Mitsuhiro T.) Numerical verification of solutions forvariational inequalities of the second kind. (English summary) 2003f:65111

Steinbach,Olaf On a generalizedL2 projection and some related stability estimates inSobolev spaces. (English summary) 2003a:65111

Titaud, Olivier see Ahues, Mario, 2003g:65160Wasilkowski, Grzegorz W. see Plaskota, Leszek et al., 2003c:41007Zhelezovskiı, S. E. Estimates for the rate of convergence of the projection-differencemethod for hyperbolic equations. (Russian) 2003g:65108

65J10 Equations with linear operators (do not use 65Fxx)

Axelsson, Owe (with Karatson, Janos) On the rate of convergence of the conjugategradient method for linear operators in Hilbert space. (English summary) 2003f:65096

Bakaev, Nikolai Yu. (with Ostermann, Alexander) Long-term stability of variable stepsizeapproximations of semigroups. (English summary) 2003j:65055

Bassotti Rizza, Lucilla Fichera’s orthogonal invariants method and numerical applications.2003f:65097

Bukhnikashvili, I. Improvement of the Richardson’s cyclic iterativemethod.Chernaya,O. A. Tikhonov filters in problems of determining unbounded star-shapeddomains close to the given ones. (Russian. English summary) 2003f:65098

Ding, Jiu (withWei, Yi-Min) Relative errors versus residuals of approximate solutions ofweighted least squares problems in Hilbert space. (English summary) 2003d:65048

Gabdulkhaev, B. G. (with Rakhimov, I. K.) On an optimal spline method for solvingoperator equations. (Russian) 2003d:65049

Gegechkori, Zurab (with Rogava, Dzh. L.; Tsiklauri, Mikheil) Sequential-parallelmethodof high degree precision of Cauchy abstract problem solution.(with Rogava, Dzh. L.; Tsiklauri, Mikheil) Differential scheme of high degree precisiondecomposition of nonhomogeneous evolution problem. (English and Georgiansummaries) 2003m:65087

Groetsch, C. W. Dykstra’s algorithm and a representation of the Moore-Penrose inverse.(English summary) 2003h:65073

Huang, Jian Guo Chaotic iterativemethods by space decomposition and subspacecorrection. (see 2003f:65005)

Karatson, Janos see Axelsson, Owe, 2003f:65096Ostermann, Alexander see Bakaev, Nikolai Yu., 2003j:65055Palomares, A. (with Pasadas,Miguel; Ramırez Gonzalez, Victoriano; Ruiz Galan, Manuel)Schauder bases in Banach spaces: application to numerical solutions of differentialequations. (English summary) 2003i:65048

Pasadas, Miguel see Palomares, A. et al., 2003i:65048Plato, Robert (with Vainikko, Gennadi) The fast solution of periodic integral andpseudodifferential equations by GMRES. (English summary) 2003f:65099

Rakhimov, I. K. see Gabdulkhaev, B. G., 2003d:65049Ramırez Gonzalez, Victoriano see Palomares, A. et al., 2003i:65048Rogava, Dzh. L. see Gegechkori, Zurab et al., 2003m:65087

Ruiz Galan, Manuel see Palomares, A. et al., 2003i:65048Tsiklauri, Mikheil see Gegechkori, Zurab et al., 2003m:65087

Vainikko, Gennadi see Plato, Robert, 2003f:65099

NUMERICAL ANALYSIS65J10 2003 1880

Wei, Yi-Min see Ding, Jiu, 2003d:65048


Agoshkov, V. I. (with Dubovskiı, Pavel B.) Solution of the reconstruction problem ofa source function in the coagulation-fragmentation equation. (English summary)2003h:45009


Bakhvalov, N. S. (with Knyazev, Andreı Vladimirovich; Parashkevov, R. R.) Extensiontheorems for Stokes and Lame equations for nearly incompressible media and theirapplications to numerical solution of problems with highly discontinuous coefficients.(English summary) 2003a:74003

Cai, Jing see Chen, Guo Liang1 et al., 2003i:47010Chen, Guo Liang1 (with Yue, Yi Feng; Cai, Jing) Error estimate bounds of generalizedinverses under stable perturbation in Hilbert spaces. (Chinese. English and Chinesesummaries) 2003i:47010see also Zhu, Chao, 2003h:47005

Cohen, Albert (with Dahmen, Wolfgang;DeVore, R. A.) Adaptive wavelet methods. II.Beyond the elliptic case. (English summary) 2003f:65212

Dahmen, Wolfgang see Cohen, Albert et al., 2003f:65212DeVore, R. A. see Cohen, Albert et al., 2003f:65212Ding, Jiu On the existence of solutions to equality constrained least-squares problems ininfinite-dimensional Hilbert spaces. (English summary) 2003e:47026(withWei, Yi-Min) Bounds for perturbed solutions of linear operator equations inHilbert space. (English summary) 2003g:47020Minimal distance upper bounds for the perturbation of least squares problems in Hilbertspaces. (English summary) 2003a:47025(with Zhou, Aihui) Structure preserving finite element approximations of Markovoperators. (English summary) 2003j:37146

Dubovskiı, Pavel B. see Agoshkov, V. I., 2003h:45009El-Daou,M. K. (with Ortiz, E. L.) Biorthogonality, permanence and approximationmethods for differential equations. (English summary) 2003c:65062

Galdava, R. see Rogava, Dzh. L., 2003b:65097Gavrilyuk, Ivan P. (withMakarov, Vladimir L.) Exponentially convergent paralleldiscretization methods for the first order evolution equations. (English summary)2003f:65174

Jovanovic, Bosko S. (withMatus, Petr P.) Strong stability of operator-differential equationsand operator-difference schemes in norms integral with respect to time. (Russian. Russiansummary) 2003d:65080

Knyazev,Andreı Vladimirovich see Bakhvalov, N. S. et al., 2003a:74003Kostenko,T. A. (with Stetsenko, V. Ya.) Some iterativemethods for solutions of equationsof the second kind. (Russian. Russian summary) 2003i:47011

Largillier, Alain see Ahues, Mario et al., 2003e:47039Lesnic, D. The decomposition method for forward and backward time-dependentproblems. (English summary) 2003i:65095

Li, Chun Li (with Qi, Song Ru) A method for solving a linear operator equation. (Chinese.English and Chinese summaries)

Limaye, Balmohan V. see Ahues,Mario et al., 2003e:47039Ma, Wan seeWang, Xing Hua1, 2003h:47020Makarov, Vladimir L. see Gavrilyuk, Ivan P., 2003f:65174de Malafosse, Bruno seeMedeghri, Ahmed, 2003f:65179Matus, Petr P. see Jovanovic, Bosko S., 2003d:65080Medeghri, Ahmed (with de Malafosse, Bruno) Numerical scheme for a complete abstractsecond order differential equation of elliptic type. (English summary) 2003f:65179

Ortiz, E. L. see El-Daou, M. K., 2003c:65062Parashkevov, R. R. see Bakhvalov, N. S. et al., 2003a:74003Qi, Song Ru see Li, Chun LiRoch, Steffen Algebras of approximation sequences: Fredholmness. (English summary)

2003f:47126Algebras of approximation sequences: Fredholm theory in fractal algebras. (Englishsummary) 2003d:47105

Rogava,Dzh. L. (with Galdava, R.) On the error of estimation of the Crank-Nicholsonsemi-discrete scheme for the abstract parabolic equation. [On the error of estimationof the Crank-Nicolson semi-discrete scheme for the abstract parabolic equation]2003b:65097

Selin, A. V. A method for the approximate solution of a linear evolution equation in aHilbert space. (Russian. Russian summary) 2003m:65156

Stetsenko,V. Ya. see Kostenko,T. A., 2003i:47011Tai, Xue-Cheng (with Tseng, Paul) Convergence rate analysis of an asynchronous spacedecomposition method for convexminimization. (English summary) 2003b:90070

Titarenko, V. N. (with Yagola, A. G.) Uniform approximation to the exact solutionof ill-posed problems on a set of monotone functions. (Russian. Russian summary)2003a:65053

Tseng, Paul see Tai, Xue-Cheng,2003b:90070Wang, Xing Hua1 (withMa, Wan) Average optimization of the approximate solution ofoperator equations and its application. (English summary) 2003h:47020

Wei, Yi-Min (withWu, Hebing) Incomplete semi-iterativemethods for solving singularlinear operator equations in Banach space with applications in Markov chain modeling.(English summary) 2003b:47024The representation and approximation for the weightedMoore-Penrose inverse in Hilbertspace. (English summary) 2003h:47004see also Ding, Jiu, 2003g:47020

Wu, Hebing seeWei, Yi-Min, 2003b:47024Yagola,A. G. see Titarenko, V. N., 2003a:65053Yang, Daoqi Iterative schemes for mixed finite element methods with applications toelasticity and compressible flow problems. (English summary) 2003j:65109

Yue, Yi Feng see Chen, Guo Liang1 et al., 2003i:47010Zhang, Xin Jian1 Operator spline interpolations and the approximate solutions of operatorequations on Hilbert spaces. (Chinese. English and Chinese summaries) 2003f:41038

Zhou, Aihui see Ding, Jiu, 2003j:37146

Zhu, Chao (with Chen, Guo Liang1) Index splitting for the Drazin inverse of linearoperator in Banach space. (English summary) 2003h:47005

65J15 Equations with nonlinear operators (do not use 65Hxx)

Alexeev, Roman B. (with Smirnova, A. B.) Regularization of nonlinear unstable operatorequations by secant methods with application to gravitational sounding problem.(English summary) 2003m:65088

Amat, Sergio (with Busquier, Sonia; Candela, Vicente) A class of quasi-Newtongeneralized Steffensen methods on Banach spaces. (English summary) 2003j:65056

Argyros, IoannisK. (with Catinas, Emil; Paaaloiu, Ion) Perturbed-Steffensen-Aitkenprojection methods for solving equations with nondifferentiable operators. (Englishsummary) 2003e:65091

On the radius of convergence of Newton’s method. (English summary) 2003f:65100

Relations between forcing sequences and inexact Newton-like iterates involvingmthFrechet differentiable operators. (English summary) 2003d:65050

Local convergence theorems for Newton’s method from data at one point. (Englishsummary) 2003k:65054

A mesh independence principle for Newton’s method using center Lipschitz conditionson the second Frechet derivative. (English summary) 2003e:65093

Convergence theorems for Newton-like methods without Lipschitz conditions. (Englishsummary) 2003e:65092

The secant method under weak assumptions. (English summary)Relations betweenNewton’s method and its discretizations without Lipschitz conditions.(English summary) 2003a:65050A semilocal convergence theorem for inexact Newton methods involvingmth Frechetderivatives. (English summary) 2003e:65094On the multistep Newton method in Banach spaces and the Ptak error estimates.(English summary) 2003j:65057On the convergence and application of Newton’s method under weak Holder continuityassumptions. (English summary)On a theorem of L. V. Kantorovich concerning Newton’s method. (English summary)A unified approach for constructing fast two-step methods in Banach space and theirapplications. (English summary)

Babich, M. D. (withMorozova, T. A.; Shevchuk, L. B.) On the optimization of computa-tions in the approximate solution of nonlinear equations with many isolated solutions.(Ukrainian. Ukrainian summary) (see 2003e:00027)(with Berezovs′kiı, A. I.; Besarab, P. N.; Zadıraka, V. K.; Lyudvichenko, V. A.; Sergıenko,I. V.) T -efficient algorithms for computing ε-solutions of problems in computational andapplied mathematics. II. (Russian. English and Ukrainian summaries) 2003d:65051

Babolian, E. (with Biazar, J.) On the order of convergence of Adomian method. (Englishsummary) 2003k:65055

Bauschke, Heinz H. (with Combettes, Patrick L.) A weak-to-strong convergence principlefor Fejer-monotone methods in Hilbert spaces. (English summary) 2003f:65101

Berezovs′kiı, A. I. see Babich, M. D. et al., 2003d:65051Besarab, P. N. see Babich, M. D. et al., 2003d:65051Biazar, J. see Babolian, E., 2003k:65055Busquier, Sonia see Amat, Sergio et al., 2003j:65056Candela, Vicente see Amat, Sergio et al., 2003j:65056Catinas, Emil A note on the quadratic convergence of the inexact Newton methods.(English summary) 2003i:65049

see also Argyros, IoannisK. et al., 2003e:65091Combettes, Patrick L. see Bauschke,Heinz H., 2003f:65101Diaconu, Adrian The acceleration of the convergence of certain approximant sequencesof the solutions of certain equations in normed linear spaces. (English summary)2003g:65071

Ezquerro, Jose A. (with Gutierrez Jimenez, Jose Manuel; Hernandez Veron, Miguel A.;Salanova, M. Amparo) Construction of an inverse-free two-parameter multipointfamily. (Spanish. English summary) (see 2003a:00031)(with Gutierrez Jimenez, Jose Manuel; Hernandez Veron, Miguel A.; Salanova,M. Amparo) Iterative processes of Chebyshev type. (Spanish. English summary)2003c:65046

(with Gutierrez Jimenez, Jose Manuel; Hernandez Veron, Miguel A.; Salanova, M.Amparo) Chebyshev-like methods and quadratic equations. (English summary)2003e:65095(with Hernandez Veron, Miguel A.) On an application of Newton’s method to nonlinearoperators with w-conditioned second derivative. (English summary) 2003i:65050

Ferreira, O. P. (with Svaiter, B. F.) Kantorovich’s theorem on Newton’s method inRiemannian manifolds. (English summary) 2003b:65056

Fu, Xiao Yang see Zhou, You Ying et al.

Gatica, Gabriel N. Solvability and Galerkin approximations of a class of nonlinearoperator equations. (English summary) 2003h:65074

Goncharenko, Yu. V. Asynchronous iteration methods for equations with decomposableoperator in ordered spaces. (English summary) 2003b:65057

Guo, Ben-Yu seeWang, YuanMing2, 2003b:65059Gutierrez Jimenez, Jose Manuel see Ezquerro, Jose A. et al., 2003c:65046;2003e:65095and(2003a:00031)

Hernandez Veron, Miguel A. (with Rubio, M. Jesus) Reduced recurrence relations for thesecant method. (Spanish. English summary) (see 2003a:00031)(with Rubio, M. Jesus) The secant method for nondifferentiable operators. (Englishsummary) 2003b:65058

(with Rubio, M. Jesus) Semilocal convergence of the secant method under mildconvergence conditions of differentiability. (English summary) 2003d:65052

see also Ezquerro, Jose A. et al., 2003c:65046; 2003e:65095; 2003i:65050 and(2003a:00031)

Huang, ZhengDa Convergence of the secant method in Banach spaces. (Chinese. Englishand Chinese summaries) 2003e:65096

Kang, Shin Min see Liu, Ze Qing, 2003e:65097Lai, Ming-Jun seeWang, Xing Hua1 et al., 2003c:65047Li, Chong1 seeWang, Xing Hua1 et al., 2003c:65047


Liu, Ze Qing (with Kang, Shin Min) Stability of Ishikawa iteration methods with errorsfor strong pseudocontractions and nonlinear equations involving accretiveoperators inarbitrary real Banach spaces. (English summary) 2003e:65097

Luchka, A. Yu. A modified projection-gradientmethod for quasilinear operator equations.(Ukrainian. Ukrainian summary) (see 2003e:00027)

Lyudvichenko,V. A. see Babich,M. D. et al., 2003d:65051

Morozova, T. A. see Babich,M. D. et al., (2003e:00027)Nagaeva, E. I. (with Seregina, O. I.) The effect of iteration parameters on the convergenceof a two-step method. (English summary) 2003d:65053

Ni, Ren Xing see Ye, Xintao, 2003g:65072Paaaloiu, Ion see Argyros, Ioannis K. et al., 2003e:65091

Ramm, AlexanderG. (with Smirnova, A. B.) Continuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inversederivative. (English summary) 2003d:65054

Rubio,M. Jesus see Hernandez Veron, Miguel A., 2003b:65058; 2003d:65052 and(2003a:00031)

Rust, J. (with Traub, J. F.; Wozniakowski, Henryk) Is there a curse of dimensionality forcontraction fixed points in the worst case? (English summary) 2003h:65075

Salanova,M. Amparo see Ezquerro, Jose A. et al., 2003c:65046; 2003e:65095 and(2003a:00031)

Seiciuc, Vladislav see Zolotarevskiı, V. A.

Seregina,O. I. seeNagaeva, E. I., 2003d:65053Sergıenko, I. V. see Babich,M. D. et al., 2003d:65051Shen, Shuo Convergence of Halley’s method under a general condition. (Chinese. Englishand Chinese summaries)

Shevchuk,L. B. see Babich, M. D. et al., (2003e:00027)Smirnova, A. B. see Ramm, Alexander G., 2003d:65054 and Alexeev, Roman B.,

2003m:65088

Svaiter, B. F. see Ferreira, O. P., 2003b:65056Tian, Yan (with Zhou, Lei1) A general monotone iterativemethod for a class ofdiscontinuous evolution set-valued equations. (Chinese. English and Chinese summaries)

Traub, J. F. see Rust, J. et al., 2003h:65075

Uko, Livinus U. A class of generalizedNewton iterative schemes. (English summary)Wang, Jin Ling see Zhou, You Ying et al.

Wang, Xing Hua1 (with Li, Chong1; Lai, Ming-Jun) A unified convergence theory forNewton-type methods for zeros of nonlinear operators in Banach spaces. (Englishsummary) 2003c:65047

Wang, Yuan Ming2 (with Guo, Ben-Yu) Monotone finite difference schemes for nonlinearsystems with mixed quasi-monotonicity. (English summary) 2003b:65059

Wozniakowski, Henryk see Rust, J. et al., 2003h:65075Xu, Cheng Zhang Mann iteration process with errors for the solution of the nonlinearequation x + Tx = f . (English and Chinese summaries)

Ye, Xintao (with Ni, Ren Xing) On convergence of Ishikawa iteration procedures witherrors. (English summary) 2003g:65072

Zadıraka, V. K. see Babich, M. D. et al., 2003d:65051

Zhou, Lei1 see Tian, Yan

Zhou, You Ying (withWang, Jin Ling; Fu, Xiao Yang) Two sufficient conditions forexamining the approximation of zeros by Halley’smethod. (Chinese. English and Chinesesummaries)

Zolotarevskiı, V. A. (with Seiciuc, Vladislav) Projection and nonprojection methods forsolving operator equations. Applications. (Romanian)


Agarwal, Ravi P. see Zhou,Hai Yun et al., 2003h:47108Alber, Yakov (with Reich, Simeon; Shoikhet, David) Iterative approximations of nullpoints of uniformly accretive operators with estimates of the convergence rate. (Englishsummary) 2003e:47093

Amster, Pablo (with Pinnau, Rene) Convergent iterative schemes for a non-isentropichydrodynamic model for semiconductors. (English summary) 2003j:82078

Argyros, IoannisK. A new convergence theorem for the Steffensen method in Banach spaceand applications. (English summary) 2003g:47119

On the convergence of Steffensen-Galerkinmethods. (English summary) 2003h:47125

New unifying convergence criteria for Newton-like methods. (English summary)2003k:47104

Perturbed Newton methods in generalized Banach spaces. (English summary)2003b:47100

On the solution of nonlinear equations under Holder continuity assumptions. (Englishsummary) 2003b:47101

On the convergence and applications of Newton-like methods for analytic operators.(English summary) 2003e:47111

A new theorem for computing fixed points. (English summary) 2003c:47110

Convergence of Stirling’s method in Banach spaces and analytic operators. (Englishsummary) 2003a:47124

(with Verma, Ram U.) Generalized partial relaxed monotonicity and solvability ofnonlinear variational inequalities. (English summary)Approximate solution of linearized equations in a Banach space. (English summary)Approximate solution of linearized equations in a Hilbert space. (English summary)Error bounds for Newton’s method under a weak Kantorovich-type hypothesis. (Englishsummary)On some nonlinear equations. (English summary) 2003j:47087

Approximating distinct solutions of quadratic equations in Banach space. (Englishsummary) 2003j:47088

On a multistep Newton’s method in Banach spaces and the Ptak error estimates. (Englishsummary)On the approximation of solutions of compact operator equations. (English summary)On the convergence of Newton-like methods using quasicontractiveoperators. (Englishsummary)Generalized conditions for the convergence of inexactNewton-like methods on Banachspaces with a convergence structure and applications. (English summary)

Concerning the convergence of Newton’s method and logarithmic convexity. (Englishsummary)On the convergence of Newton’s method for analytic operators. (English summary)A unifying theorem on Newton’s method in a Banach space with a convergence structureunder weak assumptions. (English summary)A local convergence analysis and applications of Newton’s method under weakassumptions. (English summary)Semilocal convergence for Newton’s method on a Banach space with a convergencestructure and twice Frechet differentiable operators. (English summary)

Atsushiba, Sachiko Strong convergence theorems for finite quasi-nonexpansivemappings.(English summary) 2003f:47087

Attili, B. S. An iterativemethod for solving nonlinear operator equations using generalizeddivided differences. (English summary) 2003b:65052

Babu, G. V. R. see Sastry, K. P. R. et al., 2003c:54081Bakhvalov, N. S. (with Knyazev, Andreı Vladimirovich; Parashkevov, R. R.) Extensiontheorems for Stokes and Lame equations for nearly incompressible media and theirapplications to numerical solution of problems with highly discontinuous coefficients.(English summary) 2003a:74003

Bao, Zhi Qing Ishikawa iterative sequences for uniformly quasi-Lipschitzian mappings witherrors. (Chinese. English and Chinese summaries)

Barboteu,Mikael (with Han, Weimin; Sofonea, Mircea) Numerical analysis of a bilateralfrictional contact problem for linearly elastic materials. (English summary) 2003g:74065

Bastien, Jerome (with Schatzman,Michelle) Numerical precision for differential inclusionswith uniqueness. (English summary) 2003i:34146

Berinde, Vasile Approximating fixed points of Lipschitzian generalized pseudo-contractions. (English summary) 2003c:47092

Beyn, Wolf-Jurgen (with Garay, Barnabas M.) Estimates of variable stepsize Runge-Kuttamethods for sectorial evolution equations with nonsmooth data. (English summary)2003b:65096

Bezanilla Lopez, Arnoldo (with Garcıa Juarez, Pedro) Stability of a Sehgal iterative processfor mappings with Kannan iterates. (Spanish. Spanish summary) 2003f:54090

Bi, Zhong Sheng (with Zhang, Chao; Ge, Yu) Mann type iterative algorithms witherrors for monotonical mixed variational inequalities. (Chinese. English and Chinesesummaries)

Biswas, Anamika seeMukherjee, Sulekha, 2003e:47112Cao, Bing see Chen, Guo Qing, 2003f:90093Caponetti, Diana (with Zabreıko, Petr P.) Convex operators in ordered Banach spacesand applications to the Newton-Kantorovichmethod in k-normed spaces. (Englishsummary) 2003k:47084

Chen, Guo Qing (with Cao, Bing) A new NCP-function for box constrained variational in-equalities and a related Newton-typemethod. (Chinese. English summary) 2003f:90093

Chentsov, Aleksandr Georgievich Nonanticipating multivalued mappings and theirconstruction by the method of programmed iterations. I. (Russian. Russian summary)2003c:49026

Nonanticipating multivalued mappings and their construction by the method ofprogrammed iterations. II. (Russian. Russian summary) 2003c:49027

Cherruault, Yves see Khelifa, S., 2003i:65128 and 2003m:65189

Cho, Yeol Je see Zhang, Shi Sheng et al., 2003f:47116;Jung, Jong Soo et al., 2003g:47120and Zhou,Hai Yun et al., 2003h:47108

Combettes, Patrick L. (with Pennanen, Teemu) GeneralizedMann iterates for construct-ing fixed points in Hilbert spaces. (English summary) 2003h:47098

Crombez, G. Parallel algorithms for finding common fixed points of paracontractions.(English summary) 2003m:47106

Cui, Ming Gen see Li, Chun Li, 2003g:47116Del Buono, Nicoletta (with Hill, Adrian T.) On a multistep method approximating a linearsectorial evolution equation. (English summary) 2003g:34124

Deng, Lei see Xia, Xia, 2003m:47115

Ding, Xie Ping (with Xia, Fu Quan) A new class of completely generalized quasi-variational inclusions in Banach spaces. (English summary) 2003h:49010

Domınguez Benavides, Tomas (with Lopez Acedo, Genaro; Xu, Hong-Kun) Iterativesolutions for zeros of accretiveoperators. (English summary) 2003i:47054

Dostal, Zdenek (with Haslinger, Jaroslav; Kucera, Radek) Implementation of the fixedpoint method in contact problems with Coulomb friction based on a dual splitting typetechnique. (English summary)

Ezquerro, Jose A. (with Hernandez Veron, Miguel A.) Generalized differentiabilityconditions for Newton’s method. (English summary) 2003f:65087

(with Hernandez Veron, Miguel A.; Salanova, M. Amparo) A Newton-like method forsolving some boundary value problems. (English summary) 2003k:34040

Fang, Ya Ping (with Kim, Jong Kyu; Huang, Nan Jing) Stable iterative procedures witherrors for strong pseudocontractions and nonlinear equations of accretive operatorswithout Lipschitz assumption. (English summary) 2003k:47090

Gao, Cheng-Jia see Huang, Nan Jing et al., 2003d:47088Gao, Gai Liang see Liu, Li Hong et al.Garay, BarnabasM. see Beyn, Wolf-Jurgen, 2003b:65096Garcıa Juarez, Pedro see Bezanilla Lopez, Arnoldo, 2003f:54090Garciga Otero, Rolando see Iusem, Alfredo N., 2003e:90120Ge, Yu see Bi, Zhong Sheng et al.

Gegechkori, Zurab (with Rogava, Dzh. L.; Tsiklauri, Mikheil) High degree precisiondecomposition formulas of semigroup approximation.

Goldner, Gavrila (with Trımbitas, Radu T.) A combined method usable for ordinarydifferential equations. (English summary) 2003b:65066

Gu, Feng1 see Zhang, Shi Sheng, 2003f:47117Guo, Xing-Ming see Xu, Hai-LiGuo, Xue Ping Convergence of two types of generalized iterations. (Chinese. English andChinese summaries)

Han, Bo (with Liu, Jia Qi; Hou, Bu Feng) Landweber iteration for nonlinear ill-posedproblems with perturbed operator and nonexact right-hand side. (Chinese. Englishsummary) 2003m:65091

Han, Weimin see Barboteu,Mikael et al., 2003g:74065Haslinger, Jaroslav see Dostal, Zdenek et al.


HernandezVeron, Miguel A. (with Rubio, M. Jesus) Secant-typemethods and applicationto nondifferentiable operators. (Spanish. English summary) 2003b:47102

see also Ezquerro, Jose A. et al., 2003f:65087and 2003k:34040

Hill, Adrian T. see Del Buono, Nicoletta, 2003g:34124Hinze,Michael (with Kunisch, Karl) Newton’s method for tracking type control of theinstationary Navier-Stokes equations. (English summary) (see 2003f:65007)

Hou, Bu Feng see Han, Bo et al., 2003m:65091

Hu, Chang Song (with Zhou, Shao Bo) Convergence theorems of iterative sequences forasymptotically non-expansivemapping in Lp . (Chinese. English and Chinese summaries)2003e:47090

Huang, Jia-lin Ishikawa iterative sequences for asymptotically quasi-nonexpansivemappings. (English and Chinese summaries)

Huang, Nan Jing (with Gao, Cheng-Jia; Huang, Xiao-Ping) New iteration procedures witherrors for multivalued ϕ-strongly pseudocontractive and ϕ-strongly accretivemappings.(English summary) 2003d:47088see also Fang, Ya Ping et al., 2003k:47090 and Lan, Heng You

Huang, Xiao-Ping see Huang, Nan Jing et al., 2003d:47088Huang, Zhenyu see Noor, Muhammad Aslam et al., 2003h:47128Iusem, Alfredo N. (with Garciga Otero, Rolando) Erratum: “Inexact versions of proximalpoint and augmentedLagrangian algorithms in Banach spaces” [Numer. Funct. Anal.Optim. 22 (2001), no. 5-6, 609–640;MR 2002e:90124]. 2003e:90120

Ji, Xiao Ming see Zhou,Wu, 2003m:47130Jiang, Dong Dong (with Shen, Shuo) Convergence for deformedNewton’s iterations underweak conditions. (Chinese. English and Chinese summaries)

Jin, Mao Ming A stability problem for the Ishikawa iteration procedure with errorsfor strongly pseudocontractivemappings. (Chinese. English and Chinese summaries)2003h:47101The Ishikawa iterative approximation with errors of solutions to variational inclusions foraccretivemappings. (Chinese. English and Chinese summaries)Ishikawa iteration process with errors in Banach spaces. (Chinese. English and Chinesesummaries)

Jung, Jong Soo (with Cho, Yeol Je; Zhou, Hai Yun) Iterative processes with mixed errorsfor nonlinear equations with perturbedm-accretiveoperators in Banach spaces. (Englishsummary) 2003g:47120

Kang, Shin Min see Liu, Ze Qing et al., 2003j:47068Karatson, Janos On the gradient method for some nonlinear elliptic boundary valueproblems. (English summary) 2003g:35097

Kashpur, E. F. see Khlobystov,V. V., 2003a:41034Khelifa, S. (with Cherruault, Yves) Approximation of the solution for a class of first orderp.d.e. by Adomian method. (English summary) 2003m:65189

(with Cherruault, Yves) Biomedical and biocybernetics applications: the decompositionmethod for solving first order partial differential equations. (English summary)2003i:65128

Khlobystov,V. V. (with Kashpur, E. F.) On weak convergence of an iteration process withminimal norm in a Hilbert space. (English summary) 2003a:41034

Khuát Van Ninh (with Vu Kim Tuán) Nonlinear operator equation with a specialmonotone operator. (English and Azerbaijani summaries)

Kikkawa, Misako (with Takahashi, Wataru) A strong convergence theorem for a countablefamily of nonexpansivemappings by using a hybrid method and its applications.(Japanese) (see 2003a:00030)

Kim, Jong Kyu see Liu, Ze Qing et al., 2003g:47122 and Fang, Ya Ping et al., 2003k:47090Knyazev,Andreı Vladimirovich see Bakhvalov, N. S. et al., 2003a:74003Koksal, Semen (with Lakshmikantham, V.) A unified monotone iterative technique fornonlinear elliptic problems via nonvariational method. (English summary) 2003g:35073

Kucera, Radek see Dostal, Zdenek et al.Kunisch, Karl see Hinze, Michael, (2003f:65007)Lakshmikantham, V. see Koksal, Semen, 2003g:35073Lan, Heng You (with Huang, Nan Jing) Approximation of fixed points for asymptoticallynonexpansivemappings in Banach spaces. (Chinese. English and Chinese summaries)

Lapin, A. V. Geometric convergence of iterativemethods for variational inequalities withM -matrices and diagonal monotone operators. (English summary) (see 2002k:80001)Geometric convergence of iterativemethods for a problem withM -matrices and diagonalmultivalued operators. (English summary) 2003e:65043

Li, Chun Li (with Cui, Ming Gen) How to solve the equationAuBu + Cu = f . (Englishsummary) 2003g:47116

Li, Duan see Zhao, Yun-Bin, 2003a:90070Lin, Lai-Jiu see Zhang, Shi Sheng et al., 2003f:47116Liu, Jia Qi see Han, Bo et al., 2003m:65091Liu, Jing Ai Some convergence theorems of implicit iterativeprocess for nonexpansivemappings in Banach spaces. (English summary) 2003j:47075

Liu, Li Hong (with Gao, Gai Liang; Zhou, Hai Yun) Iterative solution of equationsinvolving ϕ-quasi-accretive operators with errors. (Chinese. English and Chinesesummaries)

Liu, Ze Qing (with Kang, Shin Min; Ume, Jeong Sheok) Error bounds of the iterativeapproximations of Ishikawa iterative schemes with errors for strictly hemicontractive andstrongly quasiaccretiveoperators. (English summary) 2003j:47068

(with Nam, Y. M.; Kim, Jong Kyu; Ume, Jeong Sheok) Stable iteration schemes fornonlinear strongly quasi-accretive and strictly hemicontractiveoperators in Banachspaces. (English summary) 2003g:47122

Lopez Acedo, Genaro see Domınguez Benavides,Tomas et al., 2003i:47054Magnanti,Thomas L. (with Perakis, Georgia) Computing fixed points by averaging.(English summary) 2003j:90079

Moore, Chika A double-sequence iteration process for fixed points of continuouspseudocontractions. (English summary) 2003c:47111

Moudafi, Abdellatif Mixed equilibrium problems: sensitivity analysis and algorithmicaspect. (English summary) 2003h:49017

Mukherjee, Sulekha (with Biswas, Anamika) On the iterative of solving nonlinear operatorequations in a complete metric space. (English summary) 2003e:47112

Nam, Y. M. see Liu, Ze Qing et al., 2003g:47122Ni, Ren Xing Necessary and sufficient conditions for strong convergence of iterative

sequence solutions for variational inclusions with m-accretive type mappings. (Chinese.English and Chinese summaries)Some convergence theorems for iterative sequence of certain generalized Lipschitziannonlinear operators in Banach spaces. (Chinese. English summary) 2003e:47113

Noor, MuhammadAslam (with Rassias, Themistocles M.; Huang, Zhenyu) Three-stepiterations for nonlinear accretiveoperator equations. (English summary) 2003h:47128

(withWang, Yi Ju; Xiu, Naihua) Projection iterative schemes for general variationalinequalities. (English summary)Two-step approximation schemes for multivalued quasi variational inclusions. (Englishsummary) 2003a:49015

Parashkevov, R. R. see Bakhvalov, N. S. et al., 2003a:74003Park, Jong Yeoul see Zhang, Shi Sheng et al., 2003f:47116Pennanen, Teemu see Combettes, Patrick L., 2003h:47098Perakis, Georgia seeMagnanti,Thomas L., 2003j:90079Pietrus, Alain Does Newton’s method for set-valued maps converges uniformly in milddifferentiability context? (English summary) 2003f:90085

Pinnau, Rene see Amster, Pablo, 2003j:82078Prempeh, E. see Zegeye, H., 2003c:47102Ramm, AlexanderG. Acceleration of convergence of a continuous analog of the Newtonmethod. (English summary) 2003f:47114

Rassias, Themistocles M. see Noor, Muhammad Aslam et al., 2003h:47128Reich, Simeon see Alber, Yakov et al., 2003e:47093Rogava, Dzh. L. see Gegechkori, Zurab et al.

Rubio, M. Jesus see HernandezVeron, Miguel A., 2003b:47102Ryazantseva, I. P. A regularized proximal algorithm for nonlinear equations of monotonetype in a Banach space. (Russian. Russian summary) 2003f:47115

Salanova,M. Amparo see Ezquerro, Jose A. et al., 2003k:34040Sastry, K. P. R. (with Babu, G. V. R.; Srinivasa Rao, Ch.) Convergence of an Ishikawaiteration scheme for a nonlinear quasi-contractive pair of selfmaps of convexmetricspaces. (English summary) 2003c:54081

Schatzman,Michelle see Bastien, Jerome, 2003i:34146Shen, Shuo see Jiang, Dong DongShoikhet, David see Alber, Yakov et al., 2003e:47093Sofonea,Mircea see Barboteu,Mikael et al., 2003g:74065Soltuz, StefanM. A correction for a result on convergence of Ishikawa iteration forstrongly pseudocontractivemaps. (English summary) 2003j:47090

Srinivasa Rao, Ch. see Sastry, K. P. R. et al., 2003c:54081Sun, Zhao Hong see Xu, Yuguang1

Suzuki, Tomonari Convergence theorems for common fixed points of nonexpansivemapping families in general Banach spaces. (Japanese) (see 2003a:00030)

Tachim Medjo, Theodore Fixed-point iteration method for nonlinear robust controlproblems in fluid mechanics. (English summary) 2003j:93029

Takahashi,Wataru Weak and strong convergence of approximating fixed points andapplications.see also Kikkawa, Misako, (2003a:00030)

Temlyakov, V. N. Nonlinear methods of approximation. (English summary) 2003j:41029Tian, You Xian A proximal point algorithm for a new class of generalized stronglynonlinear quasi-variational-like inclusions. (English summary) 2003g:49014Convergence and stability of the Ishikawa iteration procedures for asymptoticallynonexpansivemappings. (Chinese. English and Chinese summaries) 2003m:47114Ishikawa iterative process with errors for a sequence of more generalized quasicontractivemappings. (Chinese. English and Chinese summaries)

Trımbitas, Radu T. see Goldner, Gavrila, 2003b:65066Tsiklauri, Mikheil see Gegechkori, Zurab et al.Uko, Livinus U. (with Velasquez Ossa, Raul Eduardo) Convergence analysis of a one-stepintermediateNewton iterative scheme. (English summary) 2003c:65043

Ume, Jeong Sheok see Liu, Ze Qing et al., 2003g:47122 and 2003j:47068

Velasquez Ossa, Raul Eduardo see Uko, Livinus U., 2003c:65043Verma, Ram U. A system of iterative algorithms and associated system of nonlinearvariational inequalities. (English summary)Projection methods and a new system of cocoercive variational inequality problems.(English summary)A system of ;-r-relaxed-cocoercivenonlinear variational inequalities and projectionmethods. (English summary)Partially relaxed cocoercive variational inequalities and general auxiliary problemprinciple in infinite-dimensional Hilbert spaces. (English summary)see also Argyros, IoannisK.

Vu Kim Tuán see Khuát Van NinhWang, Yi Ju see Noor, MuhammadAslam et al.

Xia, Fu Quan see Ding, Xie Ping, 2003h:49010Xia, Xia (with Deng, Lei) Ishikawa iterative process with errors for asymptoticallyquasi-nonexpansivemappings in Banach spaces. (English and Chinese summaries)2003m:47115

Xiu, Naihua see Noor, MuhammadAslam et al.Xu, Benlong Iterative schemes for generalized implicit quasi variational inclusions. (Englishsummary) 2003g:49015

Xu, Hai-Li (with Guo, Xing-Ming) A new perturbed algorithm for generalized quasi-variational inclusions. (English summary)

Xu, Hong-Kun see Domınguez Benavides, Tomas et al., 2003i:47054Xu, Yuguang1 (with Sun, Zhao Hong) Convergence of modified Reich-Takahashi iterativesequences for asymptotically nonexpansivemappings. (Chinese. English and Chinesesummaries)

Yang, YongQin Stability of the Ishikawa iteration procedure with errors for the solution ofthe nonlinear equation x + Tx = f . (Chinese. English and Chinese summaries)

Zabreıko, Petr P. seeCaponetti, Diana, 2003k:47084Zegeye, H. (with Prempeh, E.) Strong convergence of approximants to fixed points ofLipschitzian pseudocontractivemaps. (English summary) 2003c:47102

Zeng, Liu Chuan On the Ishikawa iterative approximation with errors for solutions tovariational inclusions with strongly accretive-typemappings in Banach spaces. (Chinese.English and Chinese summaries) 2003d:47086


Iterative approximation of solutions to nonlinear equations involvingm-accretiveoperators in Banach spaces. (English summary) 2003g:47123

On the convergence rate estimates of iteration methods for equations involving accretiveoperators in Banach spaces. (English and Chinese summaries) 2003h:47130

Ishikawa type iterative sequences with errors for Lipschitzian ϕ-strongly accretiveoperator equations in arbitrary Banach spaces. (English summary) 2003m:47133

Zhang, Chao see Bi, Zhong Sheng et al.

Zhang,Hong Qian Existence of maximal and minimal solutions for nonlinear integro-differential equations of mixed type in Banach spaces. (Chinese. English and Chinesesummaries) 2003d:45025

Zhang, Shi Sheng (with Lin, Lai-Jiu; Park, Jong Yeoul; Cho, Yeol Je) Some convergencetheorems of the Ishikawa iterative scheme for accretive and pseudocontractive typemappings in Banach spaces. (English summary) 2003f:47116(with Gu, Feng1) Ishikawa iterative approximations of fixed points and solutionsfor multivalued Φ-strongly accretive and multivalued Φ-strongly pseudo-contractivemappings. (Chinese. English and Chinese summaries) 2003f:47117

see also Zhou,Hai Yun et al., 2003h:47108and Zhou, Yu Ying2, 2003j:47069Zhang, Xian1 Some new iterative algorithms for monotone mixed variational inequalities.(English summary)

Zhang, Zhen A note on weaker convergence conditions for Newton iteration. (Chinese.English and Chinese summaries)

Zhao, Yun-Bin (with Li, Duan) Monotonicity of fixed point and normal mappings associ-ated with variational inequality and its application. (English summary) 2003a:90070

Zhou,Hai Yun (with Zhang, Shi Sheng; Agarwal, Ravi P.; Cho, Yeol Je) Stability resultsfor the Ishikawa iteration procedures. (English summary) 2003h:47108A characteristic condition for convergence of steepest descent approximation to accretiveoperator equations. (English summary) 2003e:47116Solvability and iterative construction of solutions for a class of K -positive definiteoperator equations in uniformly smooth Banach spaces. (Chinese. English and Chinesesummaries) 2003g:47117

see also Jung, Jong Soo et al., 2003g:47120 and Liu, Li Hong et al.Zhou, Shao Bo see Hu, Chang Song, 2003e:47090Zhou,Wu (with Ji, Xiao Ming) Ishikawa-type iterative algorithms with errors for a class ofvariational inequalities. (Chinese. English and Chinese summaries) 2003m:47130

Zhou, Yu Ying2 (with Zhang, Shi Sheng) Convergence of implicit iteration process fora finite family of asymptotically nonexpansivemappings in Banach spaces. (Englishsummary) 2003j:47069

65J20 Improperly posed problems; regularization

Alekseev, A. K. On the regularization of an ill-posed problem by means of a multiscale.(Russian. English and Russian summaries) 2003c:65048

Avi, E. see Hamarik, U. et al., 2003k:65057Avudainayagam,A. seeVani, C., 2003m:65095

Berryman, James G. Analysis of approximate inverses in tomography. I. Resolution analysisof common inverses. (English summary) 2003i:65051a

Analysis of approximate inverses in tomography. II. Iterative inverses. (English summary)2003i:65051b

Bodenhofer, Ulrich see Burger, Martin et al., (2003b:00028)Bruckner, Gottfried (with Pereverzev, Sergei V.) Self-regularizationof projection methodswith a posteriori discretization level choice for severely ill-posed problems. (Englishsummary) 2003m:65089

Burger, Martin (with Haslinger, Jaroslav; Bodenhofer, Ulrich) Tuning of fuzzy systems asan ill-posed problem. (English summary) (see 2003b:00028)

Defrise, Michel see De Mol, Christine, 2003m:65090De Mol, Christine (with Defrise, Michel) A note on wavelet-based inversion algorithms.(English summary) 2003m:65090

Dinh Nho Hao see Le Thi Hoai An et al., 2003m:65092

D′yakonov, E. G. Special types of badly conditioned operator problems in energy spacesand numerical methods for them. (English summary) (see 2003e:65003)Asymptotically optimal algorithms for some stationary ill-conditioned problems oncomposite domains. (Russian. Russian summary) 2003f:65102

Feng, En Min (withWang,Yong3) Three-dimensional historical geology numerical simula-tion and its system identification model. (Chinese. English and Chinese summaries)

Formiconi, A. see Loli Piccolomini, Elena et al., 2003h:65077Fu, Chu Li see Zhu, You Bin et al., 2003f:65106Ganina, A. see Hamarik, U. et al., 2003k:65057Gao, Deng Pan see Li, Gong Sheng et al., 2003d:65055Gorbunov, V. K. Regularization of degenerated equations and inequalities under explicitdata parameterization. (English summary) 2003a:65051

Grebennikov, A. I. Spline approximation method for solving unstable problems andapplications. (Spanish. Spanish summary) 2003i:65052

Groetsch, C. W. (with Scherzer, Otmar) Iterative stabilization and edge detection. (Englishsummary) 2003k:65056

Guediri, Hocine A regularization procedure for a boundary variational inequality of thesecond kind. (English summary) 2003a:65052

Guerra Ones, Valia (with HernandezMederos, Victoria) Numerical aspects in locating thecorner of the L-curve. (English summary) 2003c:65049

Gulliksson, Marten see Viklands, Thomas, (2003f:49002)Hamarik, U. (with Avi, E.; Ganina, A.) On the solution of ill-posed problems byprojection methods with a posteriori choice of the discretization level. (English andLithuanian summaries) 2003k:65057

Han, Bo (with Liu, Jia Qi; Hou, Bu Feng) Landweber iteration for nonlinear ill-posedproblems with perturbed operator and nonexact right-hand side. (Chinese. Englishsummary) 2003m:65091

Haslinger, Jaroslav see Burger, Martin et al., (2003b:00028)He, Guo-Qiang see Zhang, Ning

Henn, Stefan (withWitsch, Kristian) Iterativemultigrid regularization techniques forimage matching. (English summary) 2003f:65103

HernandezMederos, Victoria see Guerra Ones, Valia, 2003c:65049

Hou, Bu Feng see Han, Bo et al., 2003m:65091

Huang, Xiang Ding see Zhang, Jun, 2003b:65061Kaltenbacher, Barbara (with Schicho, Josef) A multi-grid method with a priori and aposteriori level choice for the regularization of nonlinear ill-posed problems. (Englishsummary) 2003h:65076

Khromov, A. P. (with Khromova, G. V.) Extension of the convergence domain in theTikhonov method. (Russian. Russian summary) 2003i:65053

Khromova, G. V. see Khromov, A. P., 2003i:65053Kokurin, M. Yu. (with Yusupova, N. A.) On necessary and sufficient conditions forthe slow convergence of methods for solving linear ill-posed problems. (Russian)2003e:65098

Leitao, A. (with Scherzer, Otmar) On the relation between constraint regularization, levelsets, and shape optimization. (English summary) 2003m:65093

Le Thi Hoai An (with Pham, Dinh Tao; Dinh Nho Hao) Towards Tikhonov regularizationof non-linear ill-posed problems: a dc programming approach. (English and Frenchsummaries) 2003m:65092

Li, Gong Sheng (withMa, Yi Chen; Gao, Deng Pan; Zhuang, Hong Wei) A modifiedTikhonov regularization and the optimum asymptotic order of its regularized solution.(Chinese. English and Chinese summaries) 2003d:65055

Liu, Jia Qi see Han, Bo et al., 2003m:65091

Loli Piccolomini, Elena (with Zama, F.; Zanghirati, G.; Formiconi, A.) Regularizationmethods in dynamic MRI. (English summary) 2003h:65077

Louis, A. K. see Schmitt, Uwe et al., 2003e:65101 and 2003e:65102

Ma, Yi Chen see Li, Gong Sheng et al., 2003d:65055Menikhes, L. D. On the theory of the regularization of unstable problems. (Russian.English and Russian summaries) 2003k:65058

Nair, M. Thamban (with Rajan, M. P.) Arcangeli’s discrepancy principle for a modifiedprojection scheme for ill-posed problems. (English summary) 2003c:65050

O’Leary, Dianne P. Near-optimal parameters for Tikhonov and other regularizationmethods. (English summary) 2003e:65099

Pereverzev, Sergei V. see Bruckner, Gottfried, 2003m:65089Pham, Dinh Tao see Le Thi Hoai An et al., 2003m:65092

Qiu, Chun Yu see Zhu, You Bin et al., 2003f:65106Rajan, M. P. see Nair, M. Thamban, 2003c:65050Ramlau, Ronny A steepest descent algorithm for the global minimization of the Tikhonovfunctional. (English summary) 2003f:65104Morozov’s discrepancy principle for Tikhonov-regularization of nonlinear operators.(English summary) 2003e:65100

Ramm, AlexanderG. Regularization of ill-posed problems with unbounded operators.(English summary) 2003i:65054On a new notion of regularizer. (English summary) 2003m:65094

Scherzer, Otmar see Groetsch, C. W., 2003k:65056 and Leitao, A., 2003m:65093

Schicho, Josef see Kaltenbacher, Barbara, 2003h:65076Schmitt, Uwe (with Louis, A. K.) Efficient algorithms for the regularization of dynamicinverse problems. I. Theory. (English summary) 2003e:65101(with Louis, A. K.; Wolters, C. H.; Vauhkonen, M.) Efficient algorithms for theregularization of dynamic inverse problems. II. Applications. (English summary)2003e:65102

Sheela, S. see Singh, Arindama, 2003k:65059Singh, Arindama (with Sheela, S.) Lardy’s regularization of a singularly perturbed ellipticPDE. (English summary) 2003k:65059

Solodkiı, S. G. The optimal approximations for solving linear ill-posed problems. (Englishsummary) 2003b:65060Adaptive discretization of ill-posed problems. (Russian) 2003g:65073

Titarenko, V. N. (with Yagola, A. G.) Uniform approximation to the exact solutionof ill-posed problems on a set of monotone functions. (Russian. Russian summary)2003a:65053

Vani, C. (with Avudainayagam,A.) Regularized solution of the Cauchy problem for theLaplace equation using Meyer wavelets. (English summary) 2003m:65095

Vauhkonen,M. see Schmitt, Uwe et al., 2003e:65102Viklands, Thomas (with Gulliksson, Marten) Optimization tools for solving nonlinear ill-posed problems. (English summary) (see 2003f:49002)

Wang, Yan-fei (with Yuan, Ya Xiang) On the regularity of a trust region-CG algorithm fornonlinear ill-posed inverse problems. (English summary) 2003f:65105

Wang, Yong3 see Feng, En Min

Witsch, Kristian see Henn, Stefan, 2003f:65103Wolters, C. H. see Schmitt, Uwe et al., 2003e:65102Xie, Jianli (with Zou, Jun) An improved model function method for choosing regulariza-tion parameters in linear inverse problems. (English summary) 2003j:65058

Yagola, A. G. see Titarenko, V. N., 2003a:65053Yastrebova, I. Yu. An algorithm for computing the regularization parameter in the coupledpseudo-inversion problem. (Russian. Russian summary) 2003k:65060

Yuan, Ya Xiang seeWang, Yan-fei, 2003f:65105Yusupova, N. A. see Kokurin,M. Yu., 2003e:65098Zama, F. see Loli Piccolomini, Elena et al., 2003h:65077Zanghirati, G. see Loli Piccolomini, Elena et al., 2003h:65077Zhang, Jun (with Huang, Xiang Ding) An iterativemultilevel algorithm for solvingnonlinear ill-posed problems in Hilbert scales. (Chinese. English and Chinese summaries)2003b:65061

Zhang, Ning (with He, Guo-Qiang) A-smooth regularization for ill-posed equations withperturbed operators and noisy data. (English summary)

Zhu, You Bin (with Fu, Chu Li; Qiu, Chun Yu) Simplified Landweber iteration withstopping rule for a class of ill-posed problems. (Chinese. English and Chinese summaries)2003f:65106

Zhuang,Hong Wei see Li, Gong Sheng et al., 2003d:65055Zou, Jun see Xie, Jianli, 2003j:65058

Items with secondary classifications in 65J20Ali, Ismail see Dimovski, I. H. et al., 2003e:44011Belge, Murat (with Kilmer, Misha E.; Miller, Eric L.) Efficient determination of multiple


regularization parameters in a generalized L-curve framework. (English summary)2003i:65038

Bodenhofer, Ulrich see Burger, Martin et al., 2003h:93041Brox, Thomas seeWeickert, Joachim, 2003m:68117Burger, Martin (with Haslinger, Jaroslav; Bodenhofer, Ulrich; Engl, Heinz W.) Regular-ized data-driven construction of fuzzy controllers. (English summary) 2003h:93041

van Casteren, J. A. see Piskarev, S. I. et al., 2003k:34109Chernaya,O. A. Adaptive procedures for the smoothing of input data in problems ofdetermining bounded star-shaped domains close to given ones. (Russian. Englishsummary) 2003e:65103

Dikusar, V. V. (with Koska, Marian; Figura, A.) Методы оценки решении внекорректных задачах линеиного и квадратичногопрограммировании. (Russian)[Methods for estimating solutions in ill-posed problems of linear and quadraticprogramming]

Dimovski, I. H. (with Kalla, Shyam L.; Ali, Ismail) Operational calculus approach to PDEarising in QR-regularisation of ill-posed problems. (English summary) 2003e:44011

Dorofeev, Konstantin (with Nikolaeva, N. N.; Titarenko, V. N.; Yagola, A. G.) Newapproaches to error estimation to ill-posed problems with applications to inverseproblems of heat conductivity. (English summary) 2003f:35280

D′yakonov, E. G. Letter to the editors: “Improved well-posedness of problems inmathematical physics associated with linear constraints” [Differ. Uravn. 36 (2000), no.4, 508–518, 574; MR 2001i:35235].(Russian)

Elliott, Lionel seeMarin, Liviu et al., 2003m:65218

Engl, Heinz W. see Burger, Martin et al., 2003h:93041Figura, A. see Dikusar, V. V. et al.

Flory, Simone (with Neubrander, Frank; Zhuang, Yu2) On the regularization andstabilization of approximation schemes for C0 semigroups. (English summary)2003k:47051

Freeden,Willi (with Hesse, K.) On the multiscale solution of satellite problems by use oflocally supported kernel functions corresponding to equidistributed data on sphericalorbits. (English summary) 2003c:65153

Haslinger, Jaroslav see Burger, Martin et al., 2003h:93041Heggs, P. J. seeMarin, Liviu et al., 2003m:65218

Hesse, K. see Freeden, Willi, 2003c:65153Hlavacek, Ivan Reliable solution in strain space of elastoplastic problems with isotropichardening and uncertain data. (English summary) 2003e:74009

Ingham,Derek B. seeMarin, Liviu et al., 2003m:65218

Iqbal,Mohammad1 The numerical inversion of the Laplace transform in reproducing kernelHilbert spaces of ill-posed problems. (English summary) 2003i:65132

Johnson,Christopher R. (withMohr, M.; Rude, Ulrich; Samsonov, Alexei Anatolii; Zyp,K.) Multilevelmethods for inverse bioelectric field problems. (English summary) (see2003d:65004)

Kabanikhin,S. I. (with Kowar, R.; Scherzer, Otmar; Vasin, V. V.) Numerical comparisonof iterative regularizationmethods for a parameter estimation problem in a hyperbolicPDE. (English summary) 2003b:65098

Kalla, ShyamL. see Dimovski, I. H. et al., 2003e:44011Kilmer, Misha E. see Belge, Murat et al., 2003i:65038Knyazev,Andreı Vladimirovich (withWidlund, Olof B.) Lavrentiev regularization+ Ritzapproximation = uniform finite element error estimates for differential equations withrough coefficients. (English summary) 2003i:65107

Kokurin,M. Yu. Source representability and estimates for the rate of convergence ofmethods for the regularization of linear equations in a Banach space. II. (Russian)2003h:47021

Koska,Marian see Dikusar, V. V. et al.

Kowar, R. see Kabanikhin, S. I. et al., 2003b:65098Lesnic, D. seeMarin, Liviu et al., 2003m:65218

Marban, J. M. (with Palencia de Lara, C.) On the numerical recovery of a holomorphicmapping from a finite set of approximate values. (English summary) 2003e:30052

(with Palencia de Lara, C.) A new numerical method for backward parabolic problemsin the maximum-norm setting. (English summary) 2003m:65168

Marin, Liviu (with Elliott, Lionel; Heggs, P. J.; Ingham, Derek B.; Lesnic, D.; Wen, XianYun) An alternating iterative algorithm for the Cauchy problem associated to theHelmholtz equation. (English summary) 2003m:65218

Mathe, Peter (with Pereverzev, Sergei V.) Direct estimation of linear functionals fromindirect noisy observations. (English summary) 2003e:62072

Miller, Eric L. see Belge, Murat et al., 2003i:65038Mohr, M. see Johnson, ChristopherR. et al., (2003d:65004)Mousa, Ababneh see Yurchuk, N. I., 2003j:34102Nair, M. Thamban Optimal order results for a class of regularizationmethods usingunbounded operators. (English summary) 2003f:65209

(with Rajan, M. P.) Generalized Arcangeli’s discrepancy principles for a class ofregularizationmethods for solving ill-posed problems. (English summary) 2003g:47023

Neubrander, Frank see Flory, Simone et al., 2003k:47051Nikolaeva, N. N. see Dorofeev, Konstantin et al., 2003f:35280Palencia de Lara, C. seeMarban, J. M., 2003e:30052 and 2003m:65168

Pereverzev, Sergei V. seeMathe, Peter, 2003e:62072Piskarev, S. I. (with Shaw, Sen-Yen; van Casteren, J. A.) Approximation of ill-posed evolu-tion problems and discretization of C -semigroups. (English summary) 2003k:34109

Rajan,M. P. see Nair, M. Thamban, 2003g:47023Rubinacci,G. see Tamburrino, A., 2003k:35250Rude, Ulrich see Johnson, ChristopherR. et al., (2003d:65004)Samsonov, Alexei Anatolii see Johnson, ChristopherR. et al., (2003d:65004)Scherzer, Otmar Explicit versus implicit relative error regularization on the space offunctions of bounded variation. (English summary) 2003j:65139

see also Kabanikhin,S. I. et al., 2003b:65098Schock, Eberhard Non-linear ill-posed equations: counter-examples. (English summary)

2003e:47108Shaw, Sen-Yen see Piskarev, S. I. et al., 2003k:34109Shutyaev,V. P. Initial condition reconstruction problem for a viscous barotropic fluiddynamic equation on a sphere. (English summary) 2003h:76129

Tamburrino, A. (with Rubinacci, G.) A new non-iterative inversion method for electricalresistance tomography. (English summary) 2003k:35250

Tanana, A. V. On the operator topologies used in approximation methods. (Russian.English and Russian summaries) 2003k:47022

Titarenko, V. N. see Dorofeev, Konstantin et al., 2003f:35280Topolyuk, Yu. P. Existence of pseudosolutions of a class of nonlinear operator equations.(Ukrainian. English, Russian and Ukrainian summaries)

Vasin, V. V. see Kabanikhin,S. I. et al., 2003b:65098Weickert, Joachim (with Brox, Thomas) Diffusion and regularization of vector- andmatrix-valued images. (English summary) 2003m:68117

Wen, Xian Yun seeMarin, Liviu et al., 2003m:65218

Widlund,Olof B. see Knyazev,Andreı Vladimirovich, 2003i:65107Yagola, A. G. see Dorofeev, Konstantin et al., 2003f:35280Yurchuk, N. I. (withMousa, Ababneh) Regularization by nonlocal conditions of theincorrect problems for differential-operator equations of the first order. 2003j:34102

Zhuang, Yu2 see Flory, Simone et al., 2003k:47051Zyp, K. see Johnson, ChristopherR. et al., (2003d:65004)

65J22 Inverse problems

Agoshkov, V. I. (with Bardos, Claude; Buleev, S.) Solution of the Stokes problem as aninverse problem. (English summary) 2003j:65059

Bardos, Claude see Agoshkov, V. I. et al., 2003j:65059Bezuglova, M. A. (with Derevtsov, E. Yu.; Sorokin, S. B.) The reconstruction of a vectorfield by finite difference methods. (English summary) 2003a:65054

Buleev, S. see Agoshkov, V. I. et al., 2003j:65059Chernaya,O. A. Adaptive procedures for the smoothing of input data in problems ofdetermining bounded star-shaped domains close to given ones. (Russian. Englishsummary) 2003e:65103

Derevtsov, E. Yu. see Bezuglova, M. A. et al., 2003a:65054Kaltenbacher, Barbara (with Schoberl, Joachim) A saddle point variational formulation forprojection-regularized parameter identification. (English summary) 2003f:65107

Schoberl, Joachim see Kaltenbacher, Barbara, 2003f:65107Sorokin, S. B. see Bezuglova,M. A. et al., 2003a:65054


Burger, Martin (withMuhlhuber, Wolfram) Iterative regularization of parameteridentification problems by sequential quadratic programming methods. (Englishsummary) 2003g:90120

Defrise, Michel see De Mol, Christine, 2003m:65090

De Mol, Christine (with Defrise, Michel) A note on wavelet-based inversion algorithms.(English summary) 2003m:65090

Dimitriu, Gabriel Convergence rate for a convection parameter identified using Tikhonovregularization. (English summary) 2003j:65106

Gutman, Semion (with Ramm, Alexander G.) Stable identification of piecewise-constantpotentials from fixed-energy phase shifts. (English summary) 2003g:35224

Herdman, T. L. (withMorin, Pedro; Spies, Ruben D.) Parameter identification fornonlinear abstract Cauchy problems using quasilinearization. (English summary)2003h:93023

Leitao, A. (with Scherzer, Otmar) On the relation between constraint regularization, levelsets, and shape optimization. (English summary) 2003m:65093

Louis, A. K. see Schmitt, Uwe et al., 2003e:65101 and 2003e:65102

Mathe, Peter (with Pereverzev, Sergei V.) Direct estimation of linear functionals fromindirect noisy observations. (English summary) 2003e:62072

Morin, Pedro see Herdman, T. L. et al., 2003h:93023Muhlhuber,Wolfram see Burger, Martin, 2003g:90120Pereverzev, Sergei V. seeMathe, Peter, 2003e:62072Ramm, AlexanderG. see Gutman, Semion, 2003g:35224Savenko, P. O. On the convergence of an iterative process in nonlinear problems of thesynthesis of radiating systems using smoothing functionals. (Ukrainian. English, Russianand Ukrainian summaries)Numerical solution of inverse problems in the theory of the synthesis of radiating systemsbased on a given power directional diagram. (Russian. Russian summary) 2003j:78040

Scherzer, Otmar see Leitao, A., 2003m:65093

Schmitt, Uwe (with Louis, A. K.) Efficient algorithms for the regularization of dynamicinverse problems. I. Theory. (English summary) 2003e:65101

(with Louis, A. K.; Wolters, C. H.; Vauhkonen, M.) Efficient algorithms for theregularization of dynamic inverse problems. II. Applications. (English summary)2003e:65102

Spies, Ruben D. see Herdman, T. L. et al., 2003h:93023Vauhkonen,M. see Schmitt, Uwe et al., 2003e:65102Wolters, C. H. see Schmitt, Uwe et al., 2003e:65102Xie, Jianli (with Zou, Jun) An improved model function method for choosing regulariza-tion parameters in linear inverse problems. (English summary) 2003j:65058

Zou, Jun see Xie, Jianli, 2003j:65058

65J99 None of the above, but in this section


Lebbah, Yahia (with Lhomme, Olivier) Accelerating filtering techniques for numeric CSPs.(English summary) 2003f:68116

Lhomme, Olivier see Lebbah, Yahia, 2003f:68116

65Kxx Mathematical programming, optimization andvariational techniques

65K Mathematical programming, optimization and variational techniques1885 2003 65K05

Items with secondary classifications in 65Kxx

Bonnans, J. Frederic (with Gilbert, J. Charles; Lemarechal, Claude; Sagastizabal, ClaudiaA.) Numerical optimization. 2003m:90002

Gilbert, J. Charles see Bonnans, J. Frederic et al., 2003m:90002

Lemarechal, Claude see Bonnans, J. Frederic et al., 2003m:90002

Sagastizabal,Claudia A. see Bonnans, J. Frederic et al., 2003m:90002

65K05 Mathematical programming algorithms For theory see90Cxx.

Bahi, Said (with Sreedharan, V. P.) An algorithm for a minimum norm solution of asystem of linear inequalities. (English summary)

Fujisawa, Katsuki see Takeda, Akiko et al., 2003f:65108He, Cheng Yuan seeWang, Zheng Hua

Hoppe, RonaldH. W. (with Petrova, Svetozara I.; Schulz, Volker H.) Topology optimiza-tion of conductivemedia described by Maxwell’s equations. (English summary) (see2003e:65003)

Kojima,Masakazu see Takeda, Akiko et al., 2003f:65108Petrova, Svetozara I. see Hoppe, RonaldH. W. et al., (2003e:65003)Schulz,Volker H. see Hoppe, RonaldH. W. et al., (2003e:65003)Sreedharan, V. P. see Bahi, Said

Takeda, Akiko (with Kojima, Masakazu; Fujisawa, Katsuki) Enumeration of all solutionsof a combinatorial linear inequality system arising from the polyhedral homotopycontinuation method. (English summary) 2003f:65108

Wang, Zheng Hua (with He, Cheng Yuan) A fast Fourier transform algorithm for thesolution of the level-2(R, r)-circulant linear systems of type (m, n). (Chinese. English andChinese summaries)

Items with secondary classifications in 65K05

Aderibigbe,F. M. see Adewale, T. A., 2003j:90047Adewale, T. A. (with Aderibigbe, F. M.) A new line search technique. (English summary)

2003j:90047

Alesawi, K. see Dostal, Zdenek et al., 2003j:90034Allgower, Eugene L. (with Erdmann, Melissa; Georg, Kurt) On the complexity ofexclusion algorithms for optimization. (English summary) 2003f:65080

Alvarez, Felipe (with Cominetti, R.) Primal and dual convergence of a proximal pointexponential penalty method for linear programming. (English summary) 2003d:90054

Alvarez-Vazquez,L. J. (withMartınez Varela, A. M.; Rodrıguez, Carmen; VazquezMendez, M. E.) Numerical optimization for the location of wastewater outfalls. (Englishsummary)

Andramonov,Mikhail An approach to constructing generalized penalty functions. (Englishsummary) 2003c:90104

Anitescu,Mihai On the rate of convergence of sequential quadratic programming withnondifferentiable exact penalty function in the presence of constraint degeneracy.(English summary) 2003f:90113

A superlinearly convergent sequential quadratically constrained quadratic programmingalgorithm for degenerate nonlinear programming. (English summary) 2003e:90127

Armand, Paul (with Gilbert, J. Charles; Jan-Jegou, Sophie) A BFGS-IP algorithm forsolving strongly convex optimization problems with feasibility enforced by an exactpenalty approach. (English summary) 2003e:90122

Beer, Klaus (with Gol′shteın, E. G.; Sokolov, Nikolai A.) Minimization of a nondifferen-tiable convex function defined not everywhere. (English summary) 2003i:90057

Bellavia, Stefania (withMorini, Benedetta) Global convergence enhancement of classicallinesearch interior point methods for MCPs. (English summary) 2003j:90080

Bregman, Lev M. (with Fokin, Igor N.) A parallel algorithm for non-cooperative resourceallocation games. (English summary) 2003b:91005

Burke, James V. see Luke, D. Russell et al., 2003i:78006Carlier, Guillaume (with Lachand-Robert, Thomas; Maury, Bertrand) H 1-projection intothe set of convex functions: a saddle-point formulation. (English summary) 2003a:52007

Censor, Yair (with Herman, Gabor T.) Block-iterative algorithms with underrelaxedBregman projections. (English summary) 2003h:90049

Cominetti, R. see Alvarez, Felipe, 2003d:90054Conforti, D. (withMancini, Marco) A curvilinear search algorithm for unconstrainedoptimization by automatic differentiation. (English summary) 2003a:90059

Conn, Andrew R. (with Gould, Nicholas I. M.; Toint, Philippe L.) Trust-regionmethods. (English summary) 2003e:90002

Cox, Steven J. (with Uhlig, Paul X.) Where best to hold a drum fast.Darracq-Calmettes,Marie-Cecile (with Dedieu, Jean-Pierre) Backward error analysis forthe linear programming problem. (English summary) 2003f:90036

Dax, Achiya Loss and retention of accuracy in affine scaling methods. (English summary)2003b:90132

Dedieu, Jean-Pierre see Darracq-Calmettes,Marie-Cecile, 2003f:90036Diao, Zai Yun see Guan, Xiu Cui, 2003k:90044Diniz-Ehrhardt,M. A. (with Dostal, Zdenek; Gomes-Ruggiero, M. A.; Martınez, JoseMario; Santos, Sandra A.) Nonmonotone strategy for minimization of quadratics withsimple constraints. (English summary) 2003f:90052

Di Pillo, Gianni (with Lucidi, Stefano) An augmentedLagrangian function with improvedexactness properties. (English summary) 2003c:90138

Dostal, Zdenek (with Friedlander, Ana; Santos, Sandra A.; Alesawi, K.) Corrigendumand addendum: “Augmented Lagrangians with adaptive precision control for quadraticprogramming with equality constraints” [Comput. Optim. Appl. 14 (1999), no. 1, 37–53;MR 2000e:90040] by Dostal, Friedlander and Santos. (English summary) 2003j:90034

see also Diniz-Ehrhardt,M. A. et al., 2003f:90052Engelke, Stephan (with Kanzow, Christian) Improved smoothing-typemethods for thesolution of linear programs. (English summary) 2003a:90026

Erdmann, Melissa see Allgower, Eugene L. et al., 2003f:65080Facchinei, Francisco (with Lucidi, Stefano; Palagi, Laura) A truncated Newton algorithmfor large scale box constrained optimization. (English summary) 2003g:90118

Faustino, Ana M. see Judice, Joaquim J. et al.

Fimmel, Dirk (withMuller, Jan) Optimal software pipelining under resource constraints.(English summary) 2003d:90136

Fletcher, Roger (with Leyffer, Sven; Toint, Philippe L.) On the global convergence of afilter-SQP algorithm. (English summary) 2003g:90121

Fokin, Igor N. see Bregman, Lev M., 2003b:91005Forsgren, Anders Inertia-controlling factorizations for optimization algorithms. (Englishsummary) 2003i:90120

Fortin, Dominique (with Tsevendorj, Ider) Piecewise-convexmaximization problems:algorithm and computational experiments. (English summary) 2003f:90060

Friedlander, Ana see Dostal, Zdenek et al., 2003j:90034Fukuda,Mituhiro (with Kojima, Masakazu; Shida, Masayuki) Lagrangian dual interior-point methods for semidefinite programs. (English summary) 2003e:90121

Fukushima, Masao (with Tseng, Paul) An implementable active-set algorithm forcomputing a B-stationary point of a mathematical program with linear complementarityconstraints. (English summary) 2003e:90082

Georg, Kurt see Allgower, Eugene L. et al., 2003f:65080Gilbert, J. Charles see Armand, Paul et al., 2003e:90122Gill, Philip E. (withMurray, Walter; Saunders, Michael A.) SNOPT: an SQP algorithm forlarge-scale constrained optimization. (English summary) 2003j:90087

Gol′shteın, E. G. see Unger, Thomas, 2003h:90051 and Beer, Klaus et al., 2003i:90057Gomes-Ruggiero, M. A. see Diniz-Ehrhardt,M. A. et al., 2003f:90052Gould, Nicholas I. M. see Conn, Andrew R. et al., 2003e:90002Guan, Xiu Cui (with Diao, Zai Yun) The quadratic semi-definite programming problemand its projection and contraction algorithm. (Chinese. English and Chinese summaries)2003k:90044

Han, Lixing see Liu, Guanghui et al., 2003f:90082Han, Shih-Ping see Lin, Anhua, 2003h:90050Helmberg, C. (with Kiwiel, K. C.) A spectral bundle method with bounds. (Englishsummary) 2003k:90045

Herman, Gabor T. seeCensor, Yair, 2003h:90049Hu, Xin Sheng seeMeng, Xiang Hui et al., 2003e:90097Jamrog, D. C. (with Tapia, Richard; Zhang, Yin1) Comparison of two sets of first-orderconditions as bases of interior-point Newton methods for optimization with simplebounds. (English summary) 2003a:90087

Jan-Jegou,Sophie see Armand, Paul et al., 2003e:90122Jian, Jin Bao Two extension models of SQP and SSLE algorithms for optimization andtheir superlinear and quadratic convergence. (Chinese. English and Chinese summaries)2003i:90121

Jing, Lili see Liu, Guanghui et al., 2003f:90082Judice, Joaquim J. (with Faustino, Ana M.; Ribeiro, Isabel Martins) On the solution ofNP-hard linear complementarity problems. (English summary)

Kanzow, Christian (with Nagel, Christian) Semidefinite programs: new search directions,smoothing-type methods, and numerical results. (English summary) 2003f:90053

see also Engelke, Stephan, 2003a:90026Kiwiel, K. C. see Helmberg, C., 2003k:90045Kojima, Masakazu see Fukuda,Mituhiro et al., 2003e:90121Lachand-Robert,Thomas see Carlier, Guillaume et al., 2003a:52007Laratta, A. (with Zironi, Fernando) Computation of Lagrange multipliers for linear leastsquares problems with equality constraints. (English summary) 2003b:90062

Leibfritz, F. (withMostafa, E. M. E.) An interior point constrained trust region methodfor a special class of nonlinear semidefinite programming problems. (English summary)2003f:90111

Lera, D. (with Sergeev, Yaroslav D.) Global minimization algorithms for Holder functions.(English summary) 2003f:90080

Lewis, Robert Michael (with Torczon, Virginia) A globally convergent augmentedLagrangian pattern search algorithm for optimization with general constraints andsimple bounds. (English summary) 2003f:90081

Leyffer, Sven see Fletcher, Roger et al., 2003g:90121Li, Duan see Zhao, Yun-Bin, 2003g:90035Li, Mu Gui seeMeng, XiangHui et al., 2003e:90097Lin, Anhua (with Han, Shih-Ping) On the distance between two ellipsoids. (Englishsummary) 2003h:90050

Liu, F. B. An entropic regularization method for solving systems of fuzzy linear inequali-ties. (English summary) 2003m:90182

Liu, Guanghui (with Jing, Lili; Han, Lixing) Convergence properties of the DFP algorithmfor unconstrained optimization. (English summary) 2003f:90082

Lucidi, Stefano see Di Pillo, Gianni, 2003c:90138 and Facchinei, Francisco et al.,2003g:90118

Luke, D. Russell (with Burke, James V.; Lyon, Richard G.) Optical wavefront reconstruc-tion: theory and numerical methods. (English summary) 2003i:78006

Lyon, Richard G. see Luke, D. Russell et al., 2003i:78006Mach, Jan Numerical solution of a class of non-convex variational problems by SQP.(English summary) 2003e:49048

Mancini, Marco see Conforti, D., 2003a:90059Maros, Istvan Computational techniques of the simplex method. 2003k:90001Martınez, Jose Mario see Diniz-Ehrhardt,M. A. et al., 2003f:90052Martınez Varela, A. M. see Alvarez-Vazquez,L. J. et al.

Maury, Bertrand see Carlier, Guillaume et al., 2003a:52007Meng, Xiang Hui (with Li, Mu Gui; Hu, Xin Sheng; Zhou, Ji1; Shi, Bao Chang) A methodfor solving a class of semi-infinite problems. (Chinese. English summary) 2003e:90097

Mo, Jiang Tao seeWei, Zeng Xin, 2003h:90041Morini, Benedetta see Bellavia, Stefania,2003j:90080Mostafa, E. M. E. see Leibfritz, F., 2003f:90111Muller, Jan see Fimmel, Dirk, 2003d:90136Murray, Walter see Gill, Philip E. et al., 2003j:90087Nagel, Christian see Kanzow, Christian, 2003f:90053Ni, Qin A new inexact sequential quadratic programming algorithm. (English summary)

2003k:90065Palagi, Laura see Facchinei, Francisco et al., 2003g:90118Popescu, Elena see Stancu-Minasian, I. M., 2003b:90069

NUMERICAL ANALYSIS65K05 2003 1886

Powell, M. J. D. On the Lagrange functions of quadratic models that are defined byinterpolation. (English summary) 2003a:90062

(Prekopa, Andras) seeMaros, Istvan, 2003k:90001Prells, Uwe A linear optimization problem related to Kronecker sums. (English summary)

2003a:90030Ratschan,Stefan Search heuristics for box decomposition methods. (English summary)

2003e:90131

Ribeiro, Isabel Martins see Judice, JoaquimJ. et al.Richter, Katrin Losungsverfahren fur konvexe Optimierungsaufgaben mit Umran-dungsstruktur auf der Grundlage gleichzeitiger primal-dualer Dekomposition. (German.German summary) [Solution methods for convex optimization problems with borderingstructure on the basis of simultaneous primal-dual decomposition]

Rodrıguez,Carmen see Alvarez-Vazquez, L. J. et al.Rubinstein, J. Hyam (with Thomas, Doreen A.; Weng, Jia Feng) Minimum networks forfour points in space. (English summary) 2003h:05069

Sachs, Ekkehard W. (with Volkwein, Stefan) Augmented Lagrange-SQP methods withLipschitz-continuous Lagrange multiplier updates. (English summary) 2003f:49067

Sagastizabal,Claudia A. (with Solodov, M. V.) Parallel variable distribution for con-strained optimization. (English summary) 2003c:90147

Santos,Sandra A. see Diniz-Ehrhardt,M. A. et al., 2003f:90052 and Dostal, Zdenek et al.,2003j:90034

Saunders,Michael A. see Gill, Philip E. et al., 2003j:90087Schropp, Johannes One- and multistep discretizations of index 2 differential algebraicsystems and their use in optimization. (English summary) 2003m:65131

Sergeev, Yaroslav D. see Lera, D., 2003f:90080Shi, Bao Chang seeMeng, XiangHui et al., 2003e:90097Shida,Masayuki see Fukuda,Mituhiro et al., 2003e:90121Sokolov, Nikolai A. see Beer, Klaus et al., 2003i:90057Solodov,M. V. see Sagastizabal,Claudia A., 2003c:90147Spath,Helmuth (withWatson, G. Alistair) One-step behaviour of a method for finding amaximal solution of a system of linear inequalities. (English summary) 2003c:90058

Stancu-Minasian, I. M. (with Popescu, Elena) An algorithm for solving convex programssubject to box constraints. (English summary) 2003b:90069

Sun, De Feng (with Sun, Jie) Semismooth matrix-valued functions. (English summary)2003a:49023

Sun, Jie see Sun, De Feng, 2003a:49023Tapia, Richard see Jamrog, D. C. et al., 2003a:90087Thomas, Doreen A. see Rubinstein, J. Hyam et al., 2003h:05069Toint, Philippe L. see Conn, Andrew R. et al., 2003e:90002 and Fletcher, Roger et al.,

2003g:90121

Torczon, Virginia see Lewis, Robert Michael, 2003f:90081Tseng, Paul see Fukushima,Masao, 2003e:90082Tsevendorj, Ider see Fortin, Dominique, 2003f:90060Tsygankov, Aleksandr Aleksandrovich New extremum conditions for smooth problems withequality constraints. (Russian. Russian summary) 2003a:90084

Uhlig, Paul X. see Cox, Steven J.Ulbrich, Michael Nonmonotone trust-region methods for bound-constrained semismoothequations with applications to nonlinear mixed complementarity problems. (Englishsummary) 2003e:90095

Unger, Thomas (with Gol′shteın, E. G.) Generalized levelmethod with approximated data.(English summary) 2003h:90051

VazquezMendez,M. E. see Alvarez-Vazquez,L. J. et al.Volkwein, Stefan see Sachs, Ekkehard W., 2003f:49067Wan, Zhong (with Zhou, Shu Zi) A class of globally convergent algorithm for MPECs.(Chinese. English and Chinese summaries)

Wang,Weichung The convergence of an interior-point method using modified searchdirections in final iterations. (English summary) 2003g:90115

Watson, G. Alistair see Spath,Helmuth, 2003c:90058Wei, Zeng Xin (withMo, Jiang Tao) A new numerical method for stochastic programmingwith recourse. (Chinese. English and Chinese summaries) 2003h:90041

Wei, Zi-Luan Regular splitting and potential reduction method for solving quadraticprogramming problem with box constraints. (English summary) 2003i:90050

Weng, Jia Feng see Rubinstein, J. Hyam et al., 2003h:05069Wu, Wei1 (with Xu, Yuesheng) Deterministic convergence of an online gradient methodfor neural networks. (English summary) 2003c:90074

Xu, Yuesheng seeWu, Wei1, 2003c:90074Yao, Jing A linearization method for minimizing a particular class of quasi-differentiablefunctions. (Chinese. English and Chinese summaries) 2003k:90101

Zhang, Yin1 see Jamrog, D. C. et al., 2003a:90087Zhao, Yun-Bin (with Li, Duan) Locating the least 2-norm solution of linear programs viaa path-followingmethod. (English summary) 2003g:90035

Zhou, Ji1 seeMeng, Xiang Hui et al., 2003e:90097Zhou, Shu Zi seeWan, Zhong

Zhu, Zong-Wu Amodified trust region algorithm. (English summary) 2003j:90057Zironi, Fernando see Laratta, A., 2003b:90062

65K10 Optimization and variational techniques [see also 49Mxx,93B40]

Aboulaich,Rajae (with Baranger, J.; Samouh, N.) Resolution du probleme d’extrusionde filiere par optimisation de forme. (French summary) [Solution of a tube extrusionproblem by shape optimization] 2003m:65096

Alefeld, G. E. (with Chen, Xiao Jun1; Potra, Florian A.) Numerical validation of solutionsof complementarity problems: the nonlinear case. (English summary) 2003f:65109

Baranger, J. see Aboulaich,Rajae et al., 2003m:65096Castro-Dıaz,Manuel Jesus see Pares, Carlos et al., 2003c:65051Chan, Tony F. (with Shen, Jianhong) Mathematical models for local nontextureinpaintings. (English summary) 2003f:65110

Chen, Xiao Jun1 see Alefeld, G. E. et al., 2003f:65109Chen, Yu Ping see Zou, Xiu-fen et al.

Gladkiı, A. V. (with Skopets′kiı, V. V.; Kharrison, D. A.) On a control problem for aSchrodinger-type wave equation. (Russian. English, Russian and Ukrainian summaries)(see 2003b:00018)

Hiroshi, Yabe see Tatsuhiko, Negishi et al., (2003a:90002)Kang, Li Shan see Zou, Xiu-fen et al.

Kharrison, D. A. see Gladkiı, A. V. et al., (2003b:00018)Kornhuber, Ralf Adaptive monotone multigrid methods for some non-smooth optimizationproblems. (see 2003f:65005)

Li, Yuan Xiang see Zou, Xiu-fen et al.

Macıas Sanchez, Jorge see Pares, Carlos et al., 2003c:65051Nakao, Mitsuhiro T. see Ryoo, Cheon Seoung, 2003f:65111Naokazu, Yamaki see Tatsuhiko, Negishi et al., (2003a:90002)Pares, Carlos (withMacıas Sanchez, Jorge; Castro-Dıaz,Manuel Jesus) Duality methodswith an automatic choice of parameters. Application to shallow water equations inconservative form. (English summary) 2003c:65051

Potra, Florian A. see Alefeld, G. E. et al., 2003f:65109Ryoo, Cheon Seoung (with Nakao,Mitsuhiro T.) Numerical verification of solutions forvariational inequalities of the second kind. (English summary) 2003f:65111

Samouh, N. see Aboulaich,Rajae et al., 2003m:65096

Shen, Jianhong see Chan, Tony F., 2003f:65110Skopets′kiı, V. V. see Gladkiı, A. V. et al., (2003b:00018)Sun, Qing Ying Some convergence properties of an improved super-memory gradientmethod with a generalized Armijo step size rule. (Chinese. English and Chinesesummaries)

Tatsuhiko, Negishi (with Naokazu, Yamaki; Hiroshi, Yabe) Memory restricted quasi-Newton methods for sizing results. (Japanese. Japanese summary) (see 2003a:90002)

Xu, Peiliang A hybrid global optimization method: the multi-dimensional case. (Englishsummary)

Xue, Yi see Zhang,Hai Bin

Zhang, Hai Bin (with Xue, Yi) A study of the CF-PCG algorithmic parameters. (Chinese.English and Chinese summaries)

Zhao, Tian Yu Newton decomposition method for a class of constrained optimizationproblems. (Chinese. English and Chinese summaries) 2003h:65078

Zou, Xiu-fen (with Kang, Li Shan; Li, Yuan Xiang; Chen, Yu Ping) Finding globalminima with a new dynamical evolutionary algorithm. (English summary)

Items with secondary classifications in 65K10

Abdel-Aziz,Mohammedi R. (with El-Alem, Mahmoud M.) Solving large-scale constrainedleast-squares problems. (English summary) 2003k:90036

Ades, R. see da Silveira, M. A., 2003m:93024

Adjiman, Claire S. see Papamichail, Ioannis, 2003e:90062

Agarwal, Ravi P. see Ryoo, Cheon Seoung, 2003g:49012Alber, Yakov Proximal projection methods for variational inequalities and Cesaro averagedapproximations. (English summary) 2003a:49011

Al-Said, Eisa A. see Noor, Muhammad Aslam, 2003c:47109Andreani, Roberto (with Friedlander, Ana; Santos, Sandra A.) On the resolution of thegeneralized nonlinear complementarity problem. (English summary) 2003b:90109

Bagirov, Adil M. see Dem′yanov, V. F. et al., 2003d:49024Balashevich, N. V. see Gabasov, Rafail et al., 2003k:49065Ballester, Coloma (with Bertalmio, Marcelo; Caselles, Vicent; Sapiro, Guillermo R.;Verdera, Joan2) Filling-in by joint interpolation of vector fields and gray levels. (Englishsummary) 2003a:94007

Bathe, Klaus Jurgen (with Brezzi, Franco) Stability of finite element mixed interpolationsfor contact problems. (English and Italian summaries) 2003c:74088

Bayada, Guy (with Sabil, Jalila; Sassi, Taoufik) Algorithme de Neumann-Dirichlet pourdes problemes de contact unilateral: resultat de convergence. (English and Frenchsummaries) [Neumann-Dirichlet algorithm for unilateral contact problems: convergenceresults] 2003g:74066

Beielstein, Thomas (withMehnen, Jorn; Schonemann, Lutz; Schwefel, Hans-Paul;Surmann, Tobias; Weinert, Klaus; Wiesmann, Dirk) Design of evolutionary algorithmsand applications in surface reconstruction. (English summary)

Bendali, Abderrahmane see Slimane, Leila et al., 2003d:49017

Bertalmio, Marcelo see Ballester, Coloma et al., 2003a:94007Binder, Thomas (with Blank, Luise; Dahmen,Wolfgang; Marquardt, Wolfgang) Iterativemultiscale methods for process monitoring. (English summary) (see 2003f:49002)

Blank, Luise see Binder, Thomas et al., (2003f:49002)Blomgren, Peter (with Chan, Tony F.) Modular solvers for image restoration problemsusing the discrepancy principle. (English summary) 2003g:65056

Boulbrachene,Messaoud (with Haiour, M.; Chentouf, Boumediene) On a noncoercivesystem of quasi-variational inequalities related to stochastic control problems. (Englishsummary) 2003b:93093

Brezzi, Franco see Bathe, Klaus Jurgen, 2003c:74088Calvin, James M. A one-dimensional optimization algorithm and its convergence rateunder the Wiener measure. (English summary) 2003b:90150

Cannon,Mark (with Kouvaritakis, Basil) Efficient constrained model predictive controlwith asymptotic optimality. (English summary) 2003f:49073

Cao, Bing see Chen, Guo Qing, 2003f:90093Cao, Ding Hua see Li, Dan Hen et al.

Caselles, Vicent see Ballester, Coloma et al., 2003a:94007Chan, Tony F. (with Kang, Sung Ha; Shen, Jianhong) Euler’s elastica and curvature-basedinpainting. (English summary) 2003m:94007

see also Blomgren, Peter, 2003g:65056Chen, Guo Qing (with Cao, Bing) A new NCP-function for box constrained variational in-equalities and a related Newton-typemethod. (Chinese. English summary) 2003f:90093

Chen, Yuan Yuan seeWang, Chang Yu et al.

Chen, Zhong Wen see Huang, ZhengHai et al., 2003c:90115

Chentouf, Boumediene see Boulbrachene,Messaoud et al., 2003b:93093Chinn, Garry (with Huang, Sung Cheng) Algorithms for accelerated convergence ofemission computed tomography medical images. (see 2003m:92002)

65K Mathematical programming, optimization and variational techniques1887 2003 65K10

Chipot,Michel (with Elfanni, A.) Some remarks on nonuniqueness of minimizers fordiscrete minimization problems. (English summary) 2003a:49039

Dahmen, Wolfgang see Binder, Thomas et al., (2003f:49002)Dai, Yuhong (with Yuan, Ya Xiang) A note on the nonlinear conjugate gradient method.(English summary) 2003h:90112

A nonmonotone conjugate gradient algorithm for unconstrained optimization. (Englishsummary) 2003b:90097see also Pytlak, R., 2003c:90146

Dem′yanov, V. F. (with Bagirov, Adil M.; Rubinov, Aleksandr M.) A method of truncatedcodifferential with application to some problems of cluster analysis. (English summary)2003d:49024

Deng, Naiyang (withWang, Zhaozhi; Zhang, Jian Zhong) An improved inexact Newton’smethod for unary optimization. (English summary) 2003a:90060

Dontchev, Asen L. (with Qi, Houduo; Qi, Liqun) Quadratic convergence of Newton’smethod for convex interpolation and smoothing. (English summary) 2003j:41023

Dormand, J. R. see Shariff, M. H. B. M., 2003k:90088Dostal, Zdenek (with Haslinger, Jaroslav; Kucera, Radek) Implementation of the fixedpoint method in contact problems with Coulomb friction based on a dual splitting typetechnique. (English summary)

Du, Shou Qiang seeWang, Chang Yu et al.

Dym, Harry (with Helton, J. William; Merino, Orlando) Multidisk problems in H∞

optimization: a method for analysing numerical algorithms. (English summary)2003j:93024

El-Alem, MahmoudM. see Abdel-Aziz,Mohammedi R., 2003k:90036Elfanni, A. see Chipot,Michel, 2003a:49039El Mansouri, Noureddine see Oualibouch,Said, (2003f:65005)Feng, Guo-Chen see Xu, Qing et al.Friedlander, Ana see Andreani, Roberto et al., 2003b:90109Fujita, Hiroshi1 see Kawarada, Hideo et al., (2003f:65005)Fukushima,Masao see Hayashi, Shunsuke et al.

Gabasov, Rafail (with Balashevich, N. V.; Kirillova, Faina Mikhaılovna) Constructivemethods of optimization of dynamical systems. (English summary) 2003k:49065

Gao, Zi-you see Zhang, Li Ping1, 2003j:90065Garcıa-Palomares, U. M. (with Rodrıguez, Jose F.) New sequential and parallel derivative-free algorithms for unconstrained minimization. (English summary) 2003e:90128

Griewank, Andreas (withWalther, Andrea) On constrained optimization by adjoint basedquasi-Newton methods. (English summary) 2003m:90162

Grippo, L. (with Sciandrone, Marco) Nonmonotone globalization techniques for theBarzilai-Borwein gradient method. (English summary) 2003j:90050

Gunzburger,Max D. Perspectives in flow control and optimization. 2003k:93001

Haiour, M. see Boulbrachene,Messaoud et al., 2003b:93093Han, D. R. (with Lo, Hong K.) Two new self-adaptiveprojection methods for variationalinequality problems. (English summary) 2003c:49010

Han, Ji Ye see Huang, Zheng Hai et al., 2003c:90115 and Sun, Wenyu et al., 2003f:90088Han, Lixing see Liu, Guanghui et al., 2003a:90061 and 2003f:90082Haslinger, Jaroslav A note on contact shape optimization with semicoercive state problems.(English summary) 2003f:49085see also Dostal, Zdenek et al.

Hay, A. M. (with Snyman, J. A.) The chord method for the determination of nonconvexworkspaces of planar parallel manipulators. (English summary) 2003a:70003

Hayashi, Shunsuke (with Yamashita, Nobuo; Fukushima, Masao) Hyperlinear conver-gence algorithm for second-order cone complementarity problems. (Japanese)

He, Wei4 see Prabhu, Nagabhushana,2003g:90078Helton, J. William see Dym, Harry et al., 2003j:93024Hild, Patrick (with Laborde, Patrick) Quadratic finite element methods for unilateralcontact problems. (English summary) 2003e:65221

Hirose, Hideo2 (with Komori, Yoshio) A consideration on the maximum likelihoodestimation in a mixture regression model using the EM algorithm. (English summary)

Hu, Andrea (with Shonkwiler, R.; Spruill, M. C.) Estimating the convergence rate of arestarted search process. (English summary) 2003b:90100

Huang, Sung Cheng see Chinn, Garry, (2003m:92002)Huang, ZhengHai (with Han, Ji Ye; Chen, Zhong Wen) The convergence of a one-stepnon-interior continuation method for solving the P0-function nonlinear complementarityproblems. (Chinese. English and Chinese summaries) 2003c:90115

Idone, Giovanna (withMaugeri, Antonino; Vitanza, Carmela) Equilibrium problems inelastic-plastic torsion. (English summary) (see 2003i:65005)

Jing, Lili see Liu, Guanghui et al., 2003a:90061and 2003f:90082

Kang, Sung Ha see Chan, Tony F. et al., 2003m:94007

Kaplan, A. A. (with Tichatschke, Rainer) Convergence analysis of non-quadratic proximalmethods for variational inequalities in Hilbert spaces. (English summary) 2003b:49007

Kawahara, Hitoshi see Kawarada, Hideo et al., (2003f:65005)Kawarada, Hideo (with Fujita, Hiroshi1; Kawahara, Hitoshi) Variational inequalitiesfor Navier-Stokes flows coupled with potential flow through porous media. (see2003f:65005)

Kirillova, Faina Mikhaılovna see Gabasov, Rafail et al., 2003k:49065(Kloucek, Petr) seeMuller, Stefan1, 2003m:49021Koko, Jonas An optimization-based domain decomposition method for a bonded structure.(English summary) 2003d:74009

Komori, Yoshio see Hirose, Hideo2

Konnov, Igor V. A combined relaxationmethod for nonlinear variational inequalities.(English summary) 2003d:49016

Kouvaritakis,Basil see Cannon,Mark, 2003f:49073Kucera, Radek see Dostal, Zdenek et al.

Laborde, Patrick see Slimane, Leila et al., 2003d:49017 and Hild, Patrick, 2003e:65221Lampariello, F. (with Sciandrone, Marco) Global convergence technique for the Newtonmethod with periodic Hessian evaluation. (English summary) 2003e:90124

Laporte, Emmanuel (with Le Tallec, Patrick) Numerical methods in sensitivity analysisand shape optimization. 2003k:49001

Le Tallec, Patrick see Laporte, Emmanuel, 2003k:49001Li, Chong1 (withWang, Xing Hua1; Zhang, Wen Hong) Convergence of Gauss-Newton’s

method for convex composite optimization. (Chinese. English summary) 2003m:90163

Li, Dan Hen (with Zhang, Li; Cao, Ding Hua) A smoothing Newton method for ball-constrained variational inequatities. (Chinese. English and Chinese summaries)

Li, Zheng Feng (with Osborne, M. R.; Prvan, Tania) Adaptive algorithm for constrainedleast-squares problems. (English summary) 2003h:90080

Liang, Guo Ping seeMa, Chang Feng et al., 2003g:90091 and 2003m:90131Liang, Xi Ming (with Qian, Ji Xin) A subspace truncated Newton algorithm for large-scale bound-constrained optimization. (Chinese. English and Chinese summaries)2003j:90052(with Qian, Ji Xin) A predictor-corrector interior-point algorithm for convex quadraticprogramming. (English summary) 2003m:90088

Lippert, Ross A. see Trendafilov, Nickolay T., 2003b:90071Liu, Guanghui (with Han, Lixing; Jing, Lili) A nonmonotone Broyden method forunconstrained optimization. (English summary) 2003a:90061

(with Jing, Lili; Han, Lixing) Convergence properties of the DFP algorithm forunconstrained optimization. (English summary) 2003f:90082

Liu, Shao Peng seeMa, Chang Feng et al., 2003g:90091Liu, Yun (withWei, Zeng Xin) A class of nonmonotone conjugate gradient methods fornonconvex functions. (English summary) 2003b:90101

Lo, Hong K. see Han, D. R., 2003c:49010Lominashvili, G. (with Shashiashvili, M.) The approximation to the value function of theoptimal stopping problem on a finite time interval by discretized variational inequalities.(English and Georgian summaries) 2003j:60058

Lucidi, Stefano (with Sciandrone, Marco) On the global convergence of derivative-freemethods for unconstrained optimization. (English summary) 2003f:90117

Ly, Hung V. (with Tran, Hien T.) Proper orthogonal decomposition for flow calculationsand optimal control in a horizontal CVD reactor. (English summary) 2003i:76071

Lyul′ko, A. V. see Zhadan, V. G., 2003k:90073Ma, Chang Feng (with Liang, Guo Ping; Liu, Shao Peng) A new smoothing approxima-tion method for solving box constrained variational inequalities. (English summary)2003g:90091

(with Liang, Guo Ping) A new successive approximation damped Newton method fornonlinear complementarity problems. (English and Chinese summaries) 2003m:90131

Ma, Jun Ling seeWu, Ke Fa et al., 2003m:90125Mahony, Robert E. (withManton, Jonathan H.) The geometry of the Newton method onnon-compact Lie groups. (English summary) 2003g:90114

Manton, JonathanH. seeMahony, Robert E., 2003g:90114Marquardt,Wolfgang see Binder, Thomas et al., (2003f:49002)Maugeri, Antonino see Idone, Giovanna et al., (2003i:65005)Maurer, Helmut2 (with Oberle, Hans Joachim) Second order sufficient conditions foroptimal control problems with free final time: the Riccati approach. (English summary)2003e:49040

Mehnen, Jorn see Beielstein, Thomas et al.

Merino, Orlando see Dym, Harry et al., 2003j:93024Miyamoto,Motohiro see Taji, Kouichi, 2003e:90125Molina, Brıgida (with Raydan, Marcos) Spectral variants of Krylov subspace methods.(English summary) 2003e:65047

Morales Perez, J. L. A numerical study of limited memory BFGS methods. (Englishsummary) 2003b:90143

Muller, Stefan1 Critique of the paper: “The relaxation of non-quasiconvex variationalintegrals” [Numer. Math. 82 (1999), no. 2, 281–311;MR 2000d:49017] by P. Kloucek.2003m:49021

Noor, MuhammadAslam (with Al-Said, Eisa A.) On multivalued generalmixed variationalinequalities. (English summary) 2003c:47109

Oberle, Hans Joachim seeMaurer, Helmut2, 2003e:49040Osborne, M. R. see Li, Zheng Feng et al., 2003h:90080Oualibouch,Said (with El Mansouri, Noureddine) Proximal domain decompositionalgorithms and application to elliptic problems. (English summary) (see 2003f:65005)

Panin, V. M. see Skopets′kiı, V. V., (2003e:00028)Papamichail, Ioannis (with Adjiman, Claire S.) A rigorous global optimization algorithmfor problems with ordinary differential equations. (English summary) 2003e:90062

Pironneau,Olivier (with Polak, Elijah) Consistent approximations and approximatefunctions and gradients in optimal control. (English summary) 2003i:49058

Polak, Elijah see Pironneau,Olivier, 2003i:49058Prabhu, Nagabhushana (with He, Wei4) A quartic nonlinear optimization method.(English summary) 2003g:90078

Prudnikov, I. M. Application of some equations of mathematical physics for optimizing afunction on a set. I. (Russian. Russian summary) 2003e:90084Application of some equations of mathematical physics for optimizing a function on aset. II. (Russian. Russian summary) 2003i:90079

Prvan, Tania see Li, Zheng Feng et al., 2003h:90080Pu, Ding Guo (with Yu, De Xing) A class of trust region dogleg path methods. (Chinese.English and Chinese summaries) 2003h:90081

Globally convergent inexact generalized Newton methods with decreasing norm of thegradient. (English summary) 2003b:90141

see also Tian, Wei Wen, 2003e:90126Pytlak, R. Comments on: “Global convergence of the method of shortest residuals”[Numer. Math. 83 (1999), no. 4, 581–598;MR 2000h:90105] by Y. Dai and Y. Yuan.(English summary) 2003c:90146

Qi, Houduo see Dontchev, Asen L. et al., 2003j:41023Qi, Liqun (with Sun, De Feng) Smoothing functions and smoothing Newton method forcomplementarity and variational inequality problems. (English summary) 2003g:90079see also Dontchev, Asen L. et al., 2003j:41023

Qian, Ji Xin see Liang, Xi Ming, 2003j:90052 and 2003m:90088Raydan,Marcos seeMolina, Brıgida, 2003e:65047Rodrıguez, Jose F. seeGarcıa-Palomares, U. M., 2003e:90128Rubinov, Aleksandr M. see Dem′yanov, V. F. et al., 2003d:49024Ryoo, Cheon Seoung (with Agarwal, Ravi P.) Numerical inclusion methods of solutions forvariational inequalities. (English summary) 2003g:49012

Sabil, Jalila see Bayada, Guy et al., 2003g:74066

NUMERICAL ANALYSIS65K10 2003 1888

Santos,Sandra A. see Andreani, Roberto et al., 2003b:90109Sapiro, Guillermo R. see Ballester, Coloma et al., 2003a:94007Sassi, Taoufik see Bayada, Guy et al., 2003g:74066

Schonemann,Lutz see Beielstein, Thomas et al.

Schwefel, Hans-Paul see Beielstein, Thomas et al.

Sciandrone,Marco see Lampariello, F., 2003e:90124;Lucidi, Stefano, 2003f:90117 andGrippo, L., 2003j:90050

Shariff,M. H. B. M. (with Dormand, J. R.) A modified augmented Lagrangian methodfor a class of constrained problems. (English summary) 2003k:90088

Shashiashvili,M. see Lominashvili, G., 2003j:60058Shen, Jianhong see Chan, Tony F. et al., 2003m:94007

Shonkwiler, R. see Hu, Andrea et al., 2003b:90100da Silveira, M. A. (with Ades, R.) The solution of theH 2/H∞ problem by direct methods.(English summary) 2003m:93024

Skopets′kiı, V. V. (with Panin, V. M.) The damped Newton method for variationalinequalities with linear constraints. (Russian. Russian summary) (see 2003e:00028)

Slimane, Leila (with Bendali, Abderrahmane; Laborde, Patrick) Mixed formulations for aclass of variational inequalities. (English and French summaries) 2003d:49017

Snyman, J. A. see Hay, A. M., 2003a:70003Spruill,M. C. see Hu, Andrea et al., 2003b:90100Stefanov,StefanM. Applications of cutting plane methods for solving variationalinequalities. (English summary) 2003g:49013

Steinbach, Jorg1 A variational inequality approach to free boundary problems withapplications in mould filling. (English summary) 2003a:35002

Sun, De Feng see Qi, Liqun, 2003g:90079Sun, Jie see Sun, Wenyu et al., 2003f:90088Sun, Linping A characterization of self-scaling rank one update. (English summary)

2003k:90100

Sun,Wenyu (with Han, Ji Ye; Sun, Jie) Global convergence of nonmonotone descentmethods for unconstrained optimization problems. (English summary) 2003f:90088

Surmann, Tobias see Beielstein, Thomas et al.

Sweilam, N. H. Numerical solutions of the optimal control time dependent system of earthdams. (English and Arabic summaries)

Tai, Xue-Cheng (with Tseng, Paul) Convergence rate analysis of an asynchronous spacedecomposition method for convexminimization. (English summary) 2003b:90070

Taji, Kouichi (withMiyamoto, Motohiro) A globally convergent smoothing Newtonmethod for nonsmooth equations and its application to complementarity problems.(English summary) 2003e:90125

Tian, Wei Wen (with Pu, Ding Guo) Convergence properties of DFP method withmodified quasi-Newton equations. (English summary) 2003e:90126

Tichatschke,Rainer see Kaplan, A. A., 2003b:49007Tran, Hien T. see Ly, Hung V., 2003i:76071Trendafilov, Nickolay T. (with Lippert, Ross A.) The multimode Procrustes problem.(English summary) 2003b:90071

Tseng, Paul Convergence infeasible interior-point trust-region methods for constrainedminimization. (English summary) 2003j:90083

see also Tai, Xue-Cheng,2003b:90070Van Voorhis, Tim A global optimization algorithm using Lagrangian underestimates andthe interval Newton method. (English summary) 2003h:90053

Verdera, Joan2 see Ballester, Coloma et al., 2003a:94007Verma, Ram U. A computational role of partially relaxed monotone mappings inapproximation solvability of nonlinear variational inequalities. (English summary)

Vitanza,Carmela see Idone, Giovanna et al., (2003i:65005)

Volkwein, Stefan Mesh-independence of Lagrange-SQPmethods with Lipschitz-continuousLagrange multiplier updates. (English summary) 2003g:49048

(withWeiser, Martin) Affine invariant convergence analysis for inexact augmentedLagrangian-SQP methods. (English summary) 2003i:90122

Walther, Andrea see Griewank, Andreas, 2003m:90162

Wang, Chang Yu (with Chen, Yuan Yuan; Du, Shou Qiang) Global convergence of a kindof modified Shamanskii Newton method. (Chinese. English and Chinese summaries)

Wang,De Ren see Zhang, Jian Jun, 2003a:90069and 2003j:65050

Wang, Lie Heng On the quadratic finite element approximation to the obstacle problem.(English summary) 2003i:65118

Wang,Wan Liang1 A conjugated gradient-type algorithm for optimization problems withlinear constraints and its convergence. (Chinese. English and Chinese summaries)

Wang, Xing Hua1 see Li, Chong1 et al., 2003m:90163

Wang, Yan-fei (with Yuan, Ya Xiang; Zhang, Hongchao) A trust region-CG algorithmfor deblurring problem in atmospheric image reconstruction. (English summary)2003g:65057

Wang, Zhaozhi see Deng, Naiyang et al., 2003a:90060

Wei, Zeng Xin see Liu, Yun, 2003b:90101Weinert, Klaus see Beielstein, Thomas et al.

Weiser, Martin see Volkwein, Stefan, 2003i:90122Wiesmann, Dirk see Beielstein, Thomas et al.

Wu, Jun Wei seeWu, Ke Fa et al., 2003m:90125

Wu, Ke Fa (with Yee, Leung; Xu, Zong Ben; Ma, Jun Ling; Wu, Jun Wei) On weightedtotal least absolute deviations approach. (Chinese. English and Chinese summaries)2003m:90125

Xiu, Naihua (with Zhang, Jian Zhong) Local convergence analysis of projection-typealgorithms: unified approach. (English summary) 2003h:49018

see also Zhang, Jian Zhong, 2003h:90093Xu, Cheng Xian seeZhang, Jian Zhong, 2003d:90126Xu, Qing (with Yu, Bo1; Feng, Guo-Chen) Globally convergent interior point methods forvariational inequalities in unbounded sets.

Xu, Zong Ben seeWu, Ke Fa et al., 2003m:90125

Yamashita, Nobuo see Hayashi, Shunsuke et al.

Yee, Leung seeWu, Ke Fa et al., 2003m:90125

Yu, Bo1 see Xu, Qing et al.

Yu, De Xing see Pu, Ding Guo, 2003h:90081

Yuan, Ya Xiang see Pytlak, R., 2003c:90146;Wang, Yan-fei et al., 2003g:65057 and Dai,Yuhong, 2003h:90112

Zeng, Jin Ping (with Zhou, Shu Zi) Block monotone iterativemethods for ellipticvariational inequalities. (English summary) 2003a:49016

Zhadan, V. G. (with Lyul′ko, A. V.) Метод Ньютона с наискореишим спуском длялинеинои задачи дополнительности. (Russian) [The Newton method with steepestdescent for the linear complementarity problem] 2003k:90073

Zhang, Hongchao seeWang, Yan-fei et al., 2003g:65057Zhang, Jian Jun (withWang, De Ren) A numerical embedding method for solving thenonlinear complementarity problem. I. Theory. (English summary) 2003a:90069

(withWang, De Ren) A generalized numerical embedding method for solving systemsof nonsmooth equations. II. Algorithm and application. (Chinese. English summary)2003j:65050

Zhang, Jian Zhong (with Xu, Cheng Xian) Properties and numerical performance ofquasi-Newton methods with modified quasi-Newton equations. (English summary)2003d:90126

(with Xiu, Naihua) New projection-type methods for monotone LCP with finitetermination. (English summary) 2003h:90093

see also Deng, Naiyang et al., 2003a:90060 and Xiu, Naihua, 2003h:49018Zhang, Ju Liang (with Zhang, Xiang Sun; Zhuo, Xin Jian) Global convergence of a trustregion method without regularity conditions. (Chinese. English summary)

Zhang, Li see Li, Dan Hen et al.Zhang, Li Ping1 (with Gao, Zi-you) Quadratic one-step smoothing Newton method forP0-LCP without strict complementarity. (English summary) 2003j:90065

Zhang, Wen Hong see Li, Chong1 et al., 2003m:90163Zhang, Xiang Sun see Zhang, Ju Liang et al.

Zhou, Shu Zi An additiveSchwarz algorithm for a variational inequality. (see 2003f:65005)see also Zeng, Jin Ping, 2003a:49016

Zhu, Detong Secant algorithms with nonmonotone trust region that employs Fletcherpenalty function for constrained optimization. (English summary) 2003a:90064

Zhuo, Xin Jian see Zhang, Ju Liang et al.

65Lxx Ordinary differential equations

Items with secondary classifications in 65Lxx

Bornemann, Folkmar A. see Deuflhard, Peter, 2003e:65001(Butcher, J. C.) see Numerical methods for ordinary differential equations

Deuflhard, Peter (with Bornemann, Folkmar A.) Scientific computing with ordinarydifferential equations. (English summary) 2003e:65001

(Enright, W. H.) see Numerical methods for ordinary differential equations

Ermentrout, George Bard Simulating, analyzing, and animating dynamical systems.(English summary) 2003i:37085

(van der Houwen, P. J.) see Numerical methods for ordinary differential equations

Mattheij, R. M. M. (withMolenaar, Jaap) Ordinary differential equations in theory andpractice. 2003k:34001

(Mazzia, Francesca) see Numerical methods for ordinary differential equations

Molenaar, Jaap seeMattheij, R. M. M., 2003k:34001(Rheinboldt,Werner C.) see Deuflhard, Peter, 2003e:65001(Soderlind, Gustaf) see Numerical methods for ordinary differential equations

(Sommeijer, B. P.) see Seminar: Numerical Solution of Differential and Differential-Algebraic Equations

(Strehmel, K.) see Seminar: Numerical Solution of Differential and Differential-AlgebraicEquations

(Verwer, Jan G.) see Seminar: Numerical Solution of Differential and Differential-AlgebraicEquations

(Weiner, Rudiger) see Seminar: Numerical Solution of Differential and Differential-Algebraic

Equations


Discretization methods and numerical algorithms for differential equations Bibunhoteishiki no risanka shuho to suchi keisan arugorizumo. [Discretization methods andnumerical algorithms for differential equations]

Halle Ninth Seminar on Numerical Solution of Differential and Differential-AlgebraicEquations.

Numerical methods for ordinary differential equations Numerical methods for ordinarydifferential equations.

Seminar:

Numerical Solution of Differential and Differential-AlgebraicEquations Ninth Seminaron Numerical Solution of Differential and Differential-AlgebraicEquations.

Workshop:

Numerical Ordinary Differential Equations Numerical methods for ordinarydifferential equations.

65L05 Initial value problems

Abbaoui, K. see Himoun, N. et al., 2003m:65099


Al-Khasawneh, Raed Ali see Ismail, Fudziah et al.

Alvarez, Jorge (with Rojo, Jesus) Special methods for the numerical integration of someODEs systems. (English summary)(with Rojo, Jesus) An improved class of generalized Runge-Kutta methods for stiffproblems. I. The scalar case. (English summary) 2003e:65104

Amirtharaj, E. C. Henry seeMurugesan, K. et al., 2003f:65119Attia, Gamal M. (with Nour, H. M.) A suggested integral equation technique for nth orderinitial value problem. (English summary) 2003h:65079

Awoyemi, D. O. A P-stable linear multistep method for solving general third order ordinarydifferential equations. (English summary)

65L Ordinary differential equations1889 2003 65L05

Barbu, Tudor (withMorosanu, Costica) Numerical approximation of the Riccati equationvia fractional steps method. (English summary) 2003b:65062

Bartel, A. (with Gunther, Michael M.) A multirate W-method for electrical networks instate-space formulation. (English summary) 2003h:65080

Bellen, Alfredo Preservation of superconvergence in the numerical integration of delaydifferential equations with proportional delay. (English summary) 2003j:65060

Bischof, Christian H. (with Bucker, H. Martin; Wu, Po-Ting) Exploiting interme-diate sparsity in computing derivatives for a leapfrog scheme. (English summary)2003m:65097

Blanes, Sergio (with Casas, Fernando; Ros, Jose) High order optimized geometricintegrators for linear differential equations. (English summary) 2003e:65105

Brugnano, Luigi (withMagherini, Cecilia) Blended implementation of block implicitmethods for ODEs. (English summary) 2003g:65075

Bucker, H. Martin see Bischof, Christian H. et al., 2003m:65097

Camacho, Javier (with Cortes Lopez, Juan Carlos; Navarro, E.; Posso, A. E.) Chebyshevrational matrix approximation with a priori error bounds for linear and Riccati matrixequations. (English summary) 2003f:65112

Cao, Xue Nian (with Li, Shou Fu; Liu, De Gui) Modified parallel Rosenbrock methods forstiff differential equations. (English summary) 2003b:65063

(with Li, Shou Fu) Parallel extendedRosenbrock methods for stiff ordinary differentialequations. (Chinese. English and Chinese summaries) 2003f:65113

Casas, Fernando see Blanes, Sergio et al., 2003e:65105Caus, V. A. Defficient spline functions for the numerical solution of the neutral delaydifferential equations. (English summary) 2003g:65076

Numerical solution of Volterra delay integro-differential equations by spline function.(English summary) 2003d:65056

Celledoni,Elena (with Iserles, Arieh) Methods for the approximation of the matrixexponential in a Lie-algebraic setting. (English summary) 2003a:65055

Chan, Raymond H. (with Jin, Xiao-Qing; Tam, Yue-Hung) Strang-type precondition-ers for solving systems of ODEs by boundary value methods. (English summary)2003g:65077

Chang,Qian Shun seeHuang, ChengMing2, 2003f:65115Chawla, M. M. Generalized Newmark schemes for singular second order initial-valueproblems. (English summary) 2003d:65057

Cherruault,Yves see Himoun, N. et al., 2003m:65099

Corless, Robert M. A new view of the computational complexity of IVP for ODE. (Englishsummary) 2003k:65061

Coroian, Iulian On a class of DIMSIMs methods. (English summary) 2003k:65062Cortes Lopez, Juan Carlos see Camacho, Javier et al., 2003f:65112Cox, S. M. (withMatthews, Paul C.) Exponential time differencing for stiff systems.(English summary) 2003b:65064

Del Buono, Nicoletta (with Lopez, Luciano) Geometric integration on manifold of squareoblique rotation matrices. (English summary) 2003f:65114

De Meyer, H. see Ixaru, L. Gr. et al., 2003k:65063 and 2003k:65064

Deville, Yves see Janssen,Micha et al., (2003f:68003)Dhayabaran,D. Paul seeMurugesan, K. et al., 2003f:65119Diethelm, Kai (with Ford, Neville J.) Numerical solution of the Bagley-Torvik equation.(English summary) 2003i:65055

Dzyadyk, Yuriı V. Explicit tensor formulas for Lanczos-Dzyadyk polynomials for thesystems B(x)−→y ′ =A(x)−→y . (Russian. Russian summary) 2003h:65081

Edwards, John T. (with Ford, Neville J.; Simpson, A. Charles) The numerical solutionof linear multi-term fractional differential equations; systems of equations. (Englishsummary) 2003j:65061

El-Khatib,M. A. see El-Safty, Abdalla et al.

El-Safty, Abdalla (with Salim, M. S.; El-Khatib, M. A.) Convergence of the spline functionfor delay dynamic system. (English summary)

Engelborghs,Koen (with Roose, Dirk) On stability of LMS methods and characteristicroots of delay differential equations. (English summary) 2003e:65106

Evans, David John1 seeMurugesan, K. et al., 2003f:65119Folk, Reinhard see Omelyan, I. P. et al., 2003d:65059Ford, Neville J. (with Simpson, A. Charles) The numerical solution of fractionaldifferential equations: speed versus accuracy. (English summary) 2003d:65058

see also Diethelm, Kai, 2003i:65055 and Edwards, John T. et al., 2003j:65061Fung, T. C. On the equivalence of the time domain differential quadrature method and thedissipative Runge-Kutta collocation method. (English summary) 2003b:65065

Gan, Si-qing (with Sun, Geng) Order results of general linear methods for multiply stiffsingular perturbation problems. (English summary) 2003h:65082(with Sun, Geng) Convergence of one-leg methods for singular perturbation problemswith delays. (English summary) 2003c:65052

Garcıa, Amelia see Lopez, David J. et al., 2003h:65083Gear, C. W. (with Kevrekidis, Ioannis G.) Telescopic projectivemethods for parabolicdifferential equations. (English summary)

Goldner, Gavrila (with Trımbitas, Radu T.) A combined method usable for ordinarydifferential equations. (English summary) 2003b:65066

Gunther, MichaelM. see Bartel, A., 2003h:65080Gyori, Istvan (with Hartung, Ferenc) Numerical approximation of neutral differentialequations on infinite interval. (English summary) 2003m:65098

Hartung, Ferenc see Gyori, Istvan, 2003m:65098

Himoun, N. (with Abbaoui, K.; Cherruault, Yves) New results on Adomian method.(English summary) 2003m:65099

Houben, S. H. M. J. (withMaubach, J. M. L.; Mattheij, R. M. M.) An acceleratedPoincare-mapmethod for autonomous oscillators. (English summary) 2003m:65100

Huang, ChengMing2 (with Chang, Qian Shun) Stability analysis of numerical methodsfor systems of functional-differential and functional equations. (English summary)2003f:65115

Ikhile, M. N. O. Coefficients for studying one-step rational schemes for IVPs in ODEs. II.(English summary) 2003e:65107

(Ionescu, Dumitru V.) seeMicula, G., (2003f:01056)Iserles, Arieh On the global error of discretization methods for highly-oscillatory ordinarydifferential equations. (English summary) 2003i:65056

see also Celledoni,Elena, 2003a:65055Ismail, Fudziah (with Al-Khasawneh, Raed Ali; Suleiman, Mohamed) Comparison ofinterpolations used in solving delay differential equations by Runge-Kutta method.(English summary)

Ixaru, L. Gr. (with Vanden Berghe, Guido; De Meyer, H.) Frequency evaluation inexponential fitting multistep algorithms for ODEs. (English summary) 2003k:65063

(with Vanden Berghe, Guido; De Meyer, H.) Exponentially fitted variable two-step BDFalgorithm for first order ODEs. (English summary) 2003k:65064

Jackiewicz, Z. Implementation of DIMSIMs for stiff differential systems. (Englishsummary) 2003f:65116

Janssen, Micha (with Van Hentenryck, Pascal; Deville, Yves) Optimal pruning inparametric differential equations. (English summary) (see 2003f:68003)

Jin, Xiao-Qing see Chan, RaymondH. et al., 2003g:65077Kashpirovskiı, A. I. Approximation of solutions of differential equations with a sectorialoperator coefficient. (Ukrainian. Ukrainian summary) (see 2003d:41002)

Katulev, A. N. (withMalevinskiı, M. F.; Solomakha, G. M.) Estimation of the accuracycharacteristics of dynamical systems based on Lagrange splines. (Russian. Russiansummary) 2003f:65117

Kevrekidis, Ioannis G. see Gear, C. W.

Knoth, Oswald seeWolke, Ralf

Kopylov, A. V. (with Kuznetsov, E. B.) An approach to the numerical integration of theCauchy problem for a differential equation with delay. (Russian. Russian summary)2003b:65067

Kulikov, G. Yu. On implicit extrapolation methods for ordinary differential equations.(English summary) 2003k:65065

Kurihara, Mitsunobu (with Suzuki, Tomohiro) Chebyshev approximations for a boundaryvalue problem of differential difference equations. (English summary)

Kuznetsov, E. B. see Kopylov, A. V., 2003b:65067Li, Liang A class of k-step (k + 2)th order hybrid methods for solving problems of stiffODEs. (Chinese. English and Chinese summaries)

Li, Qinghong (withWu, Xin Yuan) On vector product and quotient in Cm . (English andChinese summaries) 2003f:65118(withWu, Xin Yuan) A two-step explicit P-stablemethod for solving second order initialvalue problems. (English summary) 2003m:65101

Li, Shou Fu see Cao, Xue Nian et al., 2003b:65063; 2003f:65113 andWang, Wen Qiang,2003m:65104

Liu, De Gui see Cao, Xue Nian et al., 2003b:65063Lopez, David J. (withMartın Ordonez, Pablo; Garcıa, Amelia) A variable-stepsizevariable-order multistep method for the integration of perturbed linear problems.(English summary) 2003h:65083

Lopez, Luciano see Del Buono, Nicoletta, 2003f:65114Luo, Yun Ling A new fourth-order three-point single-step rule for solving ordinarydifferential equations. (Chinese. English and Chinese summaries)

Magherini, Cecilia see Brugnano, Luigi, 2003g:65075Malevinskiı, M. F. see Katulev, A. N. et al., 2003f:65117Martın Ordonez, Pablo see Lopez, David J. et al., 2003h:65083Mattheij, R. M. M. see Houben, S. H. M. J. et al., 2003m:65100

Matthews, Paul C. see Cox, S. M., 2003b:65064Maubach, J. M. L. see Houben, S. H. M. J. et al., 2003m:65100Meilunas,Mecislovas (with Rumsiene, Ruta) On the use of the classical numerical methodsfor differential delay equations. (English summary) (see 2003c:00021)(with Rumsiene, Ruta) On the use of the classical numerical methods for differentialdelay equations. (English summary) 2003b:65068

Melendo, Begona (with Palacios, Manuel) Multirevolution formulas for the second-orderspecial PVI. (Spanish. English summary) (see 2003a:00031)

Micula, G. The D. V. Ionescu’s contributions to the numerical solution of differential equa-tions, to modern numerical analysis and to spline functions theory. (see 2003f:01056)

Mitsui, Taketomo see Qiu, Lin, 2003a:65056Morosanu, Costica see Barbu, Tudor, 2003b:65062Mryglod, I. M. see Omelyan, I. P. et al., 2003d:65059Murugesan, K. (with Dhayabaran,D. Paul; Amirtharaj, E. C. Henry; Evans, David John1)A fourth order embedded Runge-Kutta RKACeM(4, 4) method based on arithmetic andcentroidal means with error control. (English summary) 2003f:65119

Naim Anwar, M. see Sallam, S. M., 2003e:65108Navarro, E. see Camacho, Javier et al., 2003f:65112Nour, H. M. see Attia, Gamal M., 2003h:65079Omelyan, I. P. (withMryglod, I. M.; Folk, Reinhard) Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems. (English summary)2003d:65059

Palacios, Manuel seeMelendo, Begona, (2003a:00031)Podhaisky, H. (with Schmitt, B. A.; Weiner, Rudiger) Design, analysis and testing of someparallel two-stepW -methods for stiff systems. (English summary) 2003g:65078

Posso, A. E. see Camacho, Javier et al., 2003f:65112Qiu, Lin (withMitsui, Taketomo) Stability of the Radau IA and Lobatto IIIC methods forneutral delay differential system. (English summary) 2003a:65056

Rojo, Jesus see Alvarez, Jorge, 2003e:65104Roose, Dirk see Engelborghs,Koen, 2003e:65106Ros, Jose see Blanes, Sergio et al., 2003e:65105Rumsiene, Ruta seeMeilunas,Mecislovas, 2003b:65068 and (2003c:00021)Salim, M. S. see El-Safty, Abdalla et al.

Sallam, S. M. (with Naim Anwar, M.) Sixth order C 2-spline collocation methodfor integrating second order ordinary initial value problems. (English summary)2003e:65108

Schmitt, B. A. see Podhaisky,H. et al., 2003g:65078Serdyuchenko,A. N. Numerical integration of the Cauchy problem for nonlinearmechanical systems of general form. (Russian) (see 2003f:00018)

Shampine, Lawrence F. Solving 0 = F (t, y(t), y ′(t)) in Matlab. (English summary)2003m:65102

Simos, T. E. (with Vigo-Aguiar, Jesus) Symmetric eighth algebraic order methods withminimal phase-lag for the numerical solution of the Schrodinger equation. (English

NUMERICAL ANALYSIS65L05 2003 1890

summary) 2003f:65120

see also Tsitouras, Ch., 2003m:65103 and Vigo-Aguiar, Jesus

Simpson, A. Charles see Ford, Neville J., 2003d:65058 and Edwards, John T. et al.,2003j:65061

Solomakha,G. M. see Katulev, A. N. et al., 2003f:65117Suleiman,Mohamed see Ismail, Fudziah et al.

Sun, Geng see Gan, Si-qing,2003c:65052 and 2003h:65082

Suzuki, Tomohiro see Kurihara, Mitsunobu

Tam, Yue-Hung see Chan, RaymondH. et al., 2003g:65077Thomas, Ruth Margaret see Xiang, Kai-li, 2003f:65121Trımbitas, Radu T. see Goldner, Gavrila, 2003b:65066Tsitouras, Ch. (with Simos, T. E.) High algebraic, high phase-lag order embeddedNumerov-type methods for oscillatory problems. (English summary) 2003m:65103

Families of explicit two-step methods for integration of problems with oscillatingsolutions. (English summary) 2003j:65062

Vanden Berghe, Guido see Ixaru, L. Gr. et al., 2003k:65063 and 2003k:65064

Van Hentenryck, Pascal see Janssen, Micha et al., (2003f:68003)Vigo-Aguiar, Jesus (with Simos, T. E.) Family of twelve steps exponential fitting symmetricmultistep methods for the numerical solution of the Schrodinger equation. (Englishsummary)see also Simos, T. E., 2003f:65120

Wang,Wen Qiang (with Li, Shou Fu) The numerical stability of one-leg methods fornonlinear stiff delay differential equations with a variable delay. (Chinese. Englishsummary) 2003m:65104

Weiner, Rudiger see Podhaisky,H. et al., 2003g:65078Wolke, Ralf (with Knoth, Oswald) Time-integration of multiphase chemistry in size-resolved cloud models. (English summary)

Wu, Po-Ting see Bischof, Christian H. et al., 2003m:65097

Wu, Xin Yuan (with Xia, Jian Lin) Two low accuracy methods for stiff systems. (Englishsummary) 2003e:65109

(with Xia, Jian Lin) New vector forms of elemental functions with Taylor series.(English summary)see also Li, Qinghong,2003f:65118 and 2003m:65101

Xia, Jian Lin seeWu, Xin Yuan, 2003e:65109

Xiang, Kai-li (with Thomas, Ruth Margaret) Efficient sixth order P-stablemethods withminimal local truncation error for y ′′ = f(x, y). (English summary) 2003f:65121

Yuan, Dong Jing On the accelerative convergence of discretized waveformmethod forsolving ordinary differential systems. (English and Chinese summaries) 2003a:65057

Zhang, Guo Feng1 see Zhao, Shuangsuo,2003m:65105

Zhao, Shuangsuo (with Zhang, Guo Feng1) A class of r-point (r + 1)st-order A-stableone-block methods with damping at the infinite point. (English summary) 2003m:65105

Zolotareva, N. D. The ellipsoid method for estimating the global error of the Stormermethod. (Russian. Russian summary) 2003e:65110

A new method for obtaining a guaranteed estimate for the error of the Stormer methodusing ellipsoids. (Russian. Russian summary) 2003h:65084

Items with secondary classifications in 65L05

Aboanber, Ahmed Ebrahim (with Nahla, Abdallah Alsayed) Generalization of theanalytical inversion method for the solution of the point kinetics equations. (Englishsummary) 2003d:82129



Barton, Paul I. see Tolsma, John E., 2003k:65171Bertaccini, Daniele (with Ng, Michael K.) Skew-circulant preconditioners for systems ofLMF-based ODE codes. (English summary) (see 2003e:65003)

Berz, Martin (withMakino, Kyoko; Hoefkens, Jens) Verified integration of dynamics inthe solar system. (English summary)see also Hoefkens, Jens, 2003m:70005

(Bornemann, P. B.) see Errata: “Some remarks on the numerical time integration of non-linear dynamical systems”

Bowman, John C. see Kotovych,Oksana, 2003k:70009


Butcher, J. C. (with Jackiewicz, Z.) A reliable error estimation for diagonally implicitmultistage integration methods. (English summary) 2003e:65135

(with O’Sullivan, A. E.) Nordsieck methods with an off-step point. (English summary)2003m:65107

Celledoni,Elena (with Owren, Brynjulf) Lie group methods for rigid body dynamics andtime integration on manifolds. (English summary) 2003k:70002

Chen, Guang Nan see Huang, Cheng Ming2 et al., 2003e:65128Chen, Jing-Bo (withMunthe-Kaas, Hans Z.; Qin, Meng Zhao) Square-conservativeschemes for a class of evolution equations using Lie-group methods. (English summary)2003d:65096

Crisfield, M. A. see Graham, Edward et al., 2003f:70004 and Errata: “Some remarks on thenumerical time integration of non-lineardynamical systems”

Danilin, A. N. (with Kuznetsov, E. B.; Shalashilin, V. I.) The best parametrization andnumerical solution of the Cauchy problem for a system of ordinary differential equationsof the second order. (English summary) 2003k:34009

Deville, Yves (with Janssen, Micha; Van Hentenryck, Pascal) Consistency techniques inordinary differential equations. (English summary) 2003k:65044

Duarte, L. G. S. (with Duarte, S. E. S.; da Mota, L. A. C. P.; Skea, J. E. F.) An extension ofthe Prelle-Singermethod and a Maple implementation. (English summary) 2003a:34006

Duarte, S. E. S. see Duarte, L. G. S. et al., 2003a:34006El-Khatib,M. A. see El-Safty, Abdalla et al., 2003b:49029El-Safty, Abdalla (with Salim, M. S.; El-Khatib, M. A.) Existence, uniqueness andstability of the spline function for delay controlled dynamic system. (English summary)2003b:49029

Farkas, Gyula2 A numerical C 1-shadowing result for retarded functional differentialequations. (English summary) 2003d:34161

Farto, Jose M. see Gonzalez, Ana B. et al., 2003a:70001Fedchishin,N. V. see Tsegelik, G. G., 2003e:34015Ford, Neville J. (with Verduyn Lunel, Sjoerd M.) Characterising small solutions indelay differential equations through numerical approximations. (English summary)2003f:34119

Franco, J. M. An embedded pair of exponentially fitted explicit Runge-Kutta methods.(English summary) 2003j:65064

Fredebeul, Ch. (with Kornmaier, D.; Muller, ManfredW.) Multiple order double outputRunge-Kutta Fehlberg formulae: strategies for efficient application. (English summary)2003e:65112

Fu, Hongyuan see Huang, ChengMing2 et al., 2003e:65128Fukunaga,Masataka A differencemethod for initial value problems for ordinary fractionaldifferential equations. (English summary) 2003d:26007

Fung, T. C. Bi-discontinuous time step integration algorithms. I. First order equations.(English summary) 2003m:70003Bi-discontinuous time step integration algorithms. II. Second-order equations. (Englishsummary) 2003m:70004

(Galvanetto, Ugo) see Errata: “Some remarks on the numerical time integration of non-linear

dynamical systems”Garay, BarnabasM. (with Simon, Peter L.) The local flow-box theorem for discretizations.The analytic case. (English summary) 2003j:37038

Garcıa, Amelia see Gonzalez, Ana B. et al., 2003a:70001Garcıa, O. seeMartın Alustiza, J. A., 2003m:65113Garcıa-Lopez, C. M. (with Ramos, J. I.) S-stability of piecewise-linearized and linearized=-methods. (English summary) 2003g:65091

Gomez, I. (with Higueras Sanz, Immaculada; Roldan, T.) Starting algorithms for low stageorder RKN methods. (English summary) 2003k:65066

Gonzalez, Ana B. (withMartın Ordonez, Pablo; Garcıa, Amelia; Farto, Jose M.)Increasing the accuracy in the numerical integration of perturbed oscillators with newmethods. (English summary) 2003a:70001

Graham, Edward (with Jelenic, G.; Crisfield, M. A.) A note on the equivalence of tworecent time-integration schemes for N -body problems. (English summary) 2003f:70004

Gumel, A. B. A competitive numerical method for a chemotherapy model of two HIVsubtypes. (English summary) 2003g:92011

Hakl, Robert (with Lomtatidze, A. G.; Puza, B.) New optimal conditions for uniquesolvability of the Cauchy problem for first order linear functional differential equations.(English summary) 2003h:34132

Hertono, G. see Burrage, Kevin et al., 2003a:65028Higueras Sanz, Immaculada see Gomez, I. et al., 2003k:65066Hirayama, Hiroshi2 (with Satou, Soutarou) Solution methods for delayed differentialequations by using series. (Japanese)

Hoefkens, Jens (with Berz, Martin) Controlling the wrapping effect in the solution ofODEs for asteroids. (English summary) 2003m:70005

see also Berz, Martin et al.Hosseini, S. Mohammad (with Shahmorad, S.) Numerical solution of a class of integro-differential equations by the tau method with an error estimation. (English summary)2003i:65136

van der Houwen, P. J. (with Sommeijer, B. P.) Approximate factorization in shallow waterapplications. (English summary) 2003m:76125

Huang, ChengMing2 (with Li, Shou Fu; Fu, Hongyuan; Chen, Guang Nan) Nonlinearstability of general linear methods for delay differential equations. (English summary)2003e:65128

Huang, Zhi Jiao (with Zhang, Cheng Jian) Nonlinear stability of one-leg methodsfor systems of neutral delay-differential equations. (Chinese. English and Chinesesummaries)

Hulbert, Gregory M. see Tseng, Fan-Chung et al., 2003k:70003Iserles, Arieh (withMunthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella) Lie-group methods. (English summary) 2003a:37123

On the discretization of double-bracket flows. (English summary) 2003g:37157Expansions that grow on trees. 2003b:34022

Jackiewicz, Z. see Burrage, Kevin et al., 2003a:65028 and Butcher, J. C., 2003e:65135Jackson, Kenneth R. (with Nedialkov, Nedialko S.) Some recent advances in validatedmethods for IVPs for ODEs. (English summary) 2003g:65063see also Nedialkov, Nedialko S. et al., 2003c:65036

Janssen, Micha see Deville, Yves et al., 2003k:65044Jelenic, G. see Graham, Edward et al., 2003f:70004Jules, F. (withMainge, P. E.) Numerical approach to a stationary solution of a secondorder dissipative dynamical system. (English summary) 2003f:90061

Katamadze, E. V. (withMeladze, Gamlet) The fuzzy Cauchy problem for the first orderordinary differential equation and one approach to its numerical solution.

Kenmochi, Nobuyuki seeMinchev, Emil et al., 2003h:34097Kornmaier, D. see Fredebeul, Ch. et al., 2003e:65112Kotovych,Oksana (with Bowman, John C.) An exactly conservative integrator for the n-body problem. (English summary) 2003k:70009

Kuznetsov, E. B. see Danilin, A. N. et al., 2003k:34009Leimkuhler, Benedict An efficient multiple time-scale reversible integrator for thegravitationalN -body problem. (English summary) 2003h:70003

Leung, A. Y. T. seeWu, Zhi Gang1 et al., 2003h:93031Lewis, Debra (with Olver, Peter J.) Geometric integration algorithms on homogeneousmanifolds. (English summary) 2003g:37154(with Nigam, Nilima) Geometric integration on spheres and some interestingapplications. (English summary) 2003m:37137

Li, Shou Fu see Huang, Cheng Ming2 et al., 2003e:65128Liu, Chein-Shan (with Tseng, Yu-Ju) Index two nilpotent forms for time-varying linearsystems and general linear group representations. (English summary) 2003i:34017

Lomtatidze, A. G. see Hakl, Robert et al., 2003h:34132Ma, Zheng-Dong see Tseng, Fan-Chung et al., 2003k:70003Mainge, P. E. see Jules, F., 2003f:90061


Makino, Kyoko see Berz, Martin et al.

Martın Alustiza, J. A. (with Garcıa, O.) Variablemultistep methods for higher-order delaydifferential equations. (English summary) 2003m:65113

Martın Ordonez, Pablo seeGonzalez, Ana B. et al., 2003a:70001Marzban,Hamid-Reza (with Razzaghi, Mohsen) Numerical solution of the controlledDuffing oscillator by hybrid functions. (English summary) 2003m:93028

Meladze,Gamlet see Katamadze, E. V.

Men′shikov, G. G. The preliminary enclosing of the ODE solutions on the base of theCauchy-Duhamel identity. (English summary) 2003d:65041

Minchev, Emil (with Okazaki, Takanobu; Kenmochi, Nobuyuki) Ordinary differentialsystems describing hysteresis effects and numerical simulations. (English summary)2003h:34097

da Mota, L. A. C. P. seeDuarte, L. G. S. et al., 2003a:34006Muller, Manfred W. see Fredebeul, Ch. et al., 2003e:65112Munthe-Kaas,Hans Z. see Iserles, Arieh et al., 2003a:37123 and Chen, Jing-Bo et al.,

2003d:65096

Nahla, AbdallahAlsayed see Aboanber, Ahmed Ebrahim, 2003d:82129Nedialkov, Nedialko S. (with Jackson, Kenneth R.; Pryce, John D.) An effectivehigh-orderinterval method for validating existence and uniqueness of the solution of an IVP for anODE. (English summary) 2003c:65036

see also Jackson, Kenneth R., 2003g:65063Ng, Michael K. see Bertaccini, Daniele, (2003e:65003)Nigam, Nilima see Lewis, Debra, 2003m:37137Nørsett, Syvert P. see Iserles, Arieh et al., 2003a:37123Noschese, Silvia (with Ricci, Paolo Emilio) On Chaplygin’s method for solving the Cauchyproblem for O.D.E. (English summary) 2003d:34018

Okazaki, Takanobu seeMinchev, Emil et al., 2003h:34097Olver, Peter J. see Lewis, Debra, 2003g:37154O’Sullivan,A. E. see Butcher, J. C., 2003m:65107

Owren, Brynjulf see Celledoni, Elena, 2003k:70002Paoli, Laetitia (with Schatzman, Michelle) A numerical scheme for impact problems. I.The one-dimensional case. (English summary) 2003i:34032a

(with Schatzman, Michelle) A numerical scheme for impact problems. II. Themultidimensional case. (English summary) 2003i:34032b

Pryce, John D. see Nedialkov, Nedialko S. et al., 2003c:65036Puza, B. see Hakl, Robert et al., 2003h:34132Qin, Meng Zhao see Chen, Jing-Bo et al., 2003d:65096Ramos, J. I. see Garcıa-Lopez, C. M., 2003g:65091Razzaghi,Mohsen seeMarzban,Hamid-Reza, 2003m:93028

Ricci, Paolo Emilio see Noschese, Silvia, 2003d:34018Roldan,T. see Gomez, I. et al., 2003k:65066Rook, Todd An alternate method to the alternating time-frequencymethod. (Englishsummary) 2003b:70034

Salim, M. S. see El-Safty, Abdalla et al., 2003b:49029Satou,Soutarou see Hirayama, Hiroshi2

Schatzman,Michelle see Paoli, Laetitia, 2003i:34032a and 2003i:34032b

Sha, Desong (with Zhou, Xiangmin; Tamma, K. K.) Time discretized operators.II. Towards the theoretical design of a new generation of a generalized family ofunconditionally stable implicit and explicit representations of arbitrary order forcomputational dynamics. (English summary) 2003m:70006see also Tamma, K. K. et al., 2003m:70007

Shahmorad, S. see Hosseini, S. Mohammad, 2003i:65136Shalashilin,V. I. see Danilin, A. N. et al., 2003k:34009Sharp, P. W. Requirements of a package for N -body simulations of the solar system.(English summary)

Simon, Peter L. see Garay, BarnabasM., 2003j:37038Skea, J. E. F. see Duarte, L. G. S. et al., 2003a:34006Sommeijer, B. P. see van der Houwen, P. J., 2003m:76125Tamma, K. K. (with Sha, Desong; Zhou, Xiangmin) Time discretized operators.I. Towards the theoretical design of a new generation of a generalized family ofunconditionally stable implicit and explicit representations of arbitrary order forcomputational dynamics. (English summary) 2003m:70007

see also Sha, Desong et al., 2003m:70006

Tirani, R. A parallel algorithm for the estimation of the global error in Runge-Kuttamethods. (English summary) 2003m:65114

Tolsma, John E. (with Barton, Paul I.) Hidden discontinuities and parametric sensitivitycalculations. (English summary) 2003k:65171

Tsegelik, G. G. (with Fedchishin, N. V.) An interpolation method of majorant type forsolving the Cauchy problem for ordinary differential equations. (Ukrainian. Englishsummary) 2003e:34015

Tseng, Fan-Chung (withMa, Zheng-Dong; Hulbert, Gregory M.) Efficient numericalsolution of constrained multibody dynamics systems. (English summary) 2003k:70003

Tseng, Yu-Ju see Liu, Chein-Shan, 2003i:34017Tsitouras, Ch. Explicit Runge-Kutta methods for the numerical solution of initial valueproblems. (English summary) 2003i:65058

Van Hentenryck, Pascal see Deville, Yves et al., 2003k:65044Verduyn Lunel, Sjoerd M. see Ford, Neville J., 2003f:34119Viswanath, Divakar How many timesteps for a cycle? Analysis of the Wisdom-Holmanalgorithm. (English summary) 2003e:70003

Welfert, B. D. see Burrage, Kevin et al., 2003a:65028Wu, Xin Yuan (with Xia, Jian Lin; Yang, Fan) A dynamic method for weighted linear leastsquares problems. (English summary) 2003f:65070

Wu, Zhi Gang1 (with Leung, A. Y. T.; Zhong, Wan Xie) Finite horizon H∞ filter and its2N algorithm. (English summary) 2003h:93031

Xia, Jian Lin seeWu, Xin Yuan et al., 2003f:65070Xu, Ying Xiang Some discussion on the numerical solution of an initial value problem of anordinary differential equation. (Chinese. English and Chinese summaries)

Yang, Fan seeWu, Xin Yuan et al., 2003f:65070Zanna, Antonella see Iserles, Arieh et al., 2003a:37123Zgliczynski, Piotr C 1 Lohner algorithm. (English summary) 2003h:65062

Zhang, Cheng Jian Nonlinear stability of natural Runge-Kutta methods for neutral delaydifferential equations. (English summary) 2003j:65067

see also Huang, Zhi Jiao

Zhong, Wan Xie seeWu, Zhi Gang1 et al., 2003h:93031Zhou, Xiangmin see Sha, Desong et al., 2003m:70006 and Tamma, K. K. et al., 2003m:70007


Errata:“Some remarks on the numerical time integration of non-lineardynamical systems” Erra-tum: “Some remarks on the numerical time integration of non-linear dynamical sys-tems” [J. Sound Vibration 252 (2002), no. 5, 935–944; 1912451] by P. B. Bornemann,U. Galvanetto and M. A. Crisfield.

65L06 Multistep, Runge-Kutta and extrapolation methods

Adams, Mark seeMuir, P. H., 2003g:65082Alabi, M. O. see Omolehin, J. O. et al.Alexander, Roger Design and implementation of DIRK integrators for stiff systems.(English summary)

Alonso-Mallo, Isaıas Runge-Kutta methods without order reduction for linear initialboundary value problems. (English summary) 2003e:65111

Amirtharaj, E. C. Henry seeMurugesan, K. et al., 2003d:65064Bartoszewski, Z. (with Jackiewicz,Z.) Stability analysis of two-step Runge-Kutta methodsfor delay differential equations. (English summary) 2003c:65053

Bujanda, Blanca (with Jorge, Juan Carlos) Additive Runge-Kutta methods for theresolution of linear parabolic problems. (English summary)

Butcher, J. C. (with Jackiewicz, Z.) Error estimation for Nordsieck methods. (Englishsummary) 2003m:65106(with O’Sullivan, A. E.) Nordsieck methods with an off-step point. (English summary)2003m:65107

Calvo, Mari Paz High order starting iterates for implicit Runge-Kutta methods: animprovement for variable-step symplectic integrators. (English summary) 2003f:65122

Calvo Pinilla, M. (with Vigo-Aguiar, Jesus) A note on the step size selection in Adamsmultistep methods. (English summary) 2003f:65123

Cameron, Frank (with Palmroth, Mikko; Piche, Robert) Quasi stage order conditions forSDIRK methods. (English summary) 2003j:65063

Carpenter, Mark H. see Kennedy, Christopher A., 2003m:65111

Casas, Fernando seeWensch, Jorg, 2003g:65084Chan, R. P. K. (with Chartier, P.; Murua, Ander) Post-projected Runge-Kuttamethods forindex-2 differential-algebraic equations. (English summary) 2003f:65124

Chartier, P. see Chan, R. P. K. et al., 2003f:65124Chen, D. J. L. Variable-order ESIRK methods for stiff differential equations. (Englishsummary) 2003m:65108

Cırule, D. see Cırulis, T. et al., 2003c:65054Cırulis, T. (with Cırule, D.; Lietuvietis, O.) Multistep degenerate matrix method forordinary differential equations. (English and Lithuanian summaries) 2003c:65054

(with Lietuvietis, O.) Analysis of generalizedmultistep Adam’s methods by degeneratematrix method for ordinary differential equations. (English and Lithuanian summaries)2003d:65060

Del Buono, Nicoletta (with Lopez, Luciano; Mastroserio, C.) Runge Kutta type methodsfor isodynamical matrix flows: applications to balanced realizations. (English summary)2003d:65061

(withMastroserio, C.) Explicit methods based on a class of four stage fourth orderRunge-Kutta methods for preserving quadratic laws. (English summary) 2003i:65057

Dhayabaran, D. Paul seeMurugesan, K. et al., 2003d:65064Diethelm, Kai (with Ford, Neville J.; Freed, Alan D.) A predictor-corrector approachfor the numerical solution of fractional differential equations. (English summary)2003h:65085

DiLena, Giovanni (with Iavernaro, Felice) Solvability of Runge-Kutta and block-BVMssystems applied to scalar ODEs. (English summary) (see 2003e:65003)

Ding, Xiao Hua (with Liu, Ming Zhu) Convergence aspects of step-parallel iteration ofRunge-Kutta methods for delay differential equations. (English summary) 2003h:65086

see also Zou, Jin Ying et al.

Evans, David John1 (with Yaakub, A. R.) A fifth order Runge-Kutta RK(5, 5) methodwith error control. (English summary)see alsoMurugesan,K. et al., 2003d:65064 and Omolehin, J. O. et al.

Ford, Neville J. see Diethelm, Kai et al., 2003h:65085Franco, J. M. (with Gomez, I.; Randez, L.) A canonical P-stable SDIRKN method fornondissipative stiff problems. (Spanish. English summary) (see 2003a:00031)(with Gomez, I.) Construction of a five-step singly diagonally implicit Runge-Kutta-Nystrom method and application to the solution of some problems in elastodynamics.(Spanish. English summary) 2003b:65069

Runge-Kutta-Nystrommethods adapted to the numerical integration of perturbedoscillators. (English summary) 2003f:65125

An embedded pair of exponentially fitted explicit Runge-Kutta methods. (Englishsummary) 2003j:65064

Fredebeul, Ch. (with Kornmaier, D.; Muller, ManfredW.) Multiple order double outputRunge-Kutta Fehlberg formulae: strategies for efficient application. (English summary)2003e:65112

Freed, Alan D. see Diethelm, Kai et al., 2003h:65085Gan, Si-qing (with Sun, Geng; Zheng, Wei Min) Errors of linear multistep methodsand Runge-Kutta methods for singular perturbation problems with delays. (Englishsummary) 2003m:65109

Garcıa, Amelia (withMartın Ordonez, Pablo; Gonzalez, Ana B.) New methods foroscillatory problems based on classical codes. (English summary)

Garcıa, O. seeMartın Alustiza, J. A., 2003a:65058 and 2003m:65113

Gerisch, Alf (with Verwer, Jan G.) Operator splitting and approximate factorization fortaxis-diffusion-reactionmodels. (English summary) 2003g:65079

Gomez, I. (with Higueras Sanz, Immaculada; Roldan, T.) Starting algorithms for low stageorder RKN methods. (English summary) 2003k:65066


see also Franco, J. M. et al., 2003b:65069 and (2003a:00031)Gonzalez,Ana B. see Garcıa, Amelia et al.Gonzalez-Pinto, S. (withMontijano, J. I.; Perez-Rodrıguez, S.) Variable-order startingalgorithms for implicit Runge-Kutta methods on stiff problems. (English summary)2003m:65110

Han, Tian Min (with Han, Yuhuan) Solving implicit equations arising from Adams-Moulton methods. (English summary) 2003d:65062

Han, Yuhuan see Han, Tian Min, 2003d:65062Higueras Sanz, Immaculada see Gomez, I. et al., 2003k:65066in ’t Hout, K. J. On the contractivity of implicit-explicit linear multistep methods. (Englishsummary) 2003j:65065

Huang, Zhi Jiao see Li, Jian Guo1 et al.Iavernaro,Felice (withMazzia, Francesca) Parallel implicit predictor corrector methods.(English summary) 2003g:65080see also DiLena, Giovanni, (2003e:65003)

Ibiejugba,Matthew A. see Omolehin, J. O. et al.Iserles, Arieh Think globally, act locally: solving highly-oscillatory ordinary differentialequations. (English summary) 2003j:65066

Jackiewicz, Z. (with Verner, J. H.) Derivation and implementation of two-step Runge-Kutta pairs. (English summary) 2003c:65055see also Bartoszewski, Z., 2003c:65053 and Butcher, J. C., 2003m:65106

Jin, Cheng Ri see Zou, Jin Ying et al.Jorge, Juan Carlos see Bujanda, Blanca

Kainhofer, Reinhold (with Tichy, Robert F.) QMC methods for the solution of differentialequations with multiple delayed arguments. (English summary)

Kalogiratou,Z. (with Simos, T. E.) Construction of trigonometrically and exponentiallyfitted Runge-Kutta-Nystrommethods for the numerical solution of the Schrodingerequation and related problems—a method of 8th algebraic order. (English summary)2003f:65126

Kennedy,Christopher A. (with Carpenter, Mark H.) Additive Runge-Kutta schemes forconvection-diffusion-reactionequations. (English summary) 2003m:65111

Kornmaier, D. see Fredebeul, Ch. et al., 2003e:65112Koto, Toshiyuki Stability of Runge-Kutta methods for delay integro-differential equations.(English summary) 2003f:65127

Kulikov, G. Yu. (with Shindin, S. K.) On a method for the control of global error inmultistep methods. (Russian. Russian summary) 2003e:65113

Le Ngoc Xuan see Nguyen Huu CongLi, Ai Xiong (with Liu, Wei Feng; Zhang, Cheng Jian; Li, Jian Guo1) Asymptotic stabilityof the multi-derivative Runge-Kutta method for delay differential equations. (Chinese.English and Chinese summaries)see also Li, Jian Guo1 et al.

Li, Huiyuan (withMa, He-ping) Shifted Chebyshev collocation domain truncation forsolving problems on an infinite interval. (English summary)

Li, Jian Guo1 (with Li, Ai Xiong; Wang, Hong Shan; Huang, Zhi Jiao) >1-stability ofmultistep Runge-Kutta methods. (Chinese. English and Chinese summaries)see also Li, Ai Xiong et al.

Lietuvietis, O. see Cırulis, T. et al., 2003c:65054and 2003d:65060Liu, Ming Zhu see Ding, Xiao Hua, 2003h:65086Liu, Wei Feng see Li, Ai Xiong et al.Lopez, Luciano see Del Buono, Nicoletta et al., 2003d:65061Ma, He-ping see Li, Huiyuan

Macdougall,T. (with Verner, J. H.) Global error estimators for order 7, 8 Runge-Kuttapairs. (English summary) 2003m:65112

Martın Alustiza, J. A. (with Garcıa, O.) Variable multistep methods for delay differentialequations. (English summary) 2003a:65058

(with Garcıa, O.) Variable multistep methods for higher-order delay differentialequations. (English summary) 2003m:65113

Martın Ordonez, Pablo seeGarcıa, Amelia et al.

Maset, S. A multigrid method of the second kind for solving linear systems of ODEsdiscretized by continuous Runge-Kutta methods. (English summary) 2003d:65063

Mastroserio, C. see Del Buono, Nicoletta et al., 2003d:65061 and 2003i:65057

Mazzia, Francesca see Iavernaro, Felice, 2003g:65080Mei, Jia Bin (withWang, Hong Shan) On the stability of Runge-Kutta methods for non-linear variable delay systems. (Chinese. English and Chinese summaries)

Minh,Nguyen Thi Hong see Nguyen Huu Cong, 2003e:65114 and 2003e:65115

MohseniMoghadam,M. An explicit Runge-Kutta method. (English summary)2003g:65081

Montijano, J. I. see Gonzalez-Pinto, S. et al., 2003m:65110Muir, P. H. (with Adams, Mark) Mono-implicit Runge-Kutta-Nystrommethods withapplication to boundary value ordinary differential equations. (English summary)2003g:65082

Muller, Manfred W. see Fredebeul, Ch. et al., 2003e:65112Murua, Ander see Chan, R. P. K. et al., 2003f:65124Murugesan,K. (with Dhayabaran,D. Paul; Amirtharaj, E. C. Henry; Evans, David John1)A comparison of extended Runge-Kutta formulae based on variety of means to solvesystem of IVPs. (English summary) 2003d:65064

(with Dhayabaran, D. Paul; Amirtharaj, E. C. Henry; Evans, David John1) Numericalstrategy for the system of second order IVPs using RK method based on centroidalmean. (English summary)

NguyenHuu Cong (withMinh, Nguyen Thi Hong) Fast convergence PIRKN-type PCmethods with Adams-type predictors. (English summary) 2003e:65114(withMinh, Nguyen Thi Hong) Parallel-iterated pseudo two-step Runge-Kutta-Nystrom methods for nonstiff second-order IVPs. (English summary) 2003e:65115

Performance evaluations of parallel RKN methods. (English summary)(with Le Ngoc Xuan) Parallel-iteratedRK-type PC methods with continuous outputformulas. (English summary)

Omolehin, J. O. (with Ibiejugba, MatthewA.; Alabi, M. O.; Evans, David John1) A newclass of Adams-Bashforth schemes for ODEs. (English summary)

O’Sullivan,A. E. see Butcher, J. C., 2003m:65107

Ozawa, Kazufumi A functional fitting Runge-Kutta-Nystrommethod with variable

coefficients. (English summary) 2003e:65116

Palmroth, Mikko see Cameron, Frank et al., 2003j:65063Papageorgiou,George (with Tsitouras, Ch.) Runge-Kutta pairs for scalar autonomousinitial value problems. (English summary)

Perez-Rodrıguez, S. see Gonzalez-Pinto,S. et al., 2003m:65110

Piche, Robert see Cameron, Frank et al., 2003j:65063Pinchukov, V. I. On fourth-order implicit absolutely stable Runge-Kutta schemes. (Russian.English summary) 2003e:65117

Randez, L. see Franco, J. M. et al., (2003a:00031)Roldan, T. see Gomez, I. et al., 2003k:65066Ruuth, Steven J. see Spiteri, Raymond J., 2003g:65083Shampine, Lawrence F. Variable order Adams codes. (English summary) 2003f:65128Shen, Yu Bo seeWu, Qiang1

Shindin, S. K. see Kulikov, G. Yu., 2003e:65113Simos, T. E. (withWilliams, P. S.) A new Runge-Kutta-Nystrommethod with phase-lag oforder infinity for the numerical solution of the Schrodinger equation. (English summary)2003f:65129

see also Kalogiratou,Z., 2003f:65126and Tsitouras, Ch., 2003h:65088Skvortsov, L. M. Diagonally implicit Runge-Kutta FSAL methods for stiff and differential-algebraic systems. (Russian. English and Russian summaries) 2003h:65087

Spiteri, Raymond J. (with Ruuth, Steven J.) A new class of optimal high-order strong-stability-preserving time discretizationmethods. (English summary) 2003g:65083

Sun, Geng see Gan, Si-qing et al., 2003m:65109Tang, Yi-Fa Expansion of step-transition operator of multi-step method and its applica-tions. II. (English summary)

Tichy, Robert F. see Kainhofer, Reinhold

Tirani, R. A parallel algorithm for the estimation of the global error in Runge-Kuttamethods. (English summary) 2003m:65114

Tsitouras, Ch. Explicit two-step methods for second-order linear IVPs. (English summary)2003d:65065Explicit Runge-Kutta methods for the numerical solution of initial value problems.(English summary) 2003i:65058(with Simos, T. E.) Optimized Runge-Kutta pairs for problems with oscillating solutions.(English summary) 2003h:65088see also Papageorgiou,George

Van Daele, M. (with Van Hecke, T.) Algebraic conditions for high-order convergentdeferred correction schemes based on Runge-Kutta-Nystrommethods for second orderboundary value problems. (English summary) 2003k:65067

Van Hecke, T. see Van Daele, M., 2003k:65067Verner, J. H. see Jackiewicz, Z., 2003c:65055 andMacdougall, T., 2003m:65112

Verwer, Jan G. see Gerisch, Alf, 2003g:65079Vigo-Aguiar, Jesus see Calvo Pinilla, M., 2003f:65123Wang, Hong Shan see Li, Jian Guo1 et al.

Wang, Hong Shan seeMei, Jia BinWensch, Jorg Extrapolation methods in Lie groups. (English summary) 2003a:65059

(with Casas, Fernando) Extrapolation in Lie groups with approximated BCH-formula.(English summary) 2003g:65084

Williams, P. S. see Simos, T. E., 2003f:65129Wu, Qiang1 (with Shen, Yu Bo) Fuzzy initial value problems based on the Runge-Kutta-Fehlberg method. (Chinese. English and Chinese summaries)

Xiao, Ai-Guo Convergence results of Runge-Kutta methods for multiply-stiff singularperturbation problems. (English summary) 2003e:65118

Yaakub, A. R. see Evans, David John1

Yu, Lu Yuan see Zhang, Guo Feng1

Zhang, Cheng Jian Nonlinear stability of natural Runge-Kutta methods for neutral delaydifferential equations. (English summary) 2003j:65067

Convergence analysis for general linear methods applied to stiff delay differentialequations. (English summary) 2003f:65130

see also Li, Ai Xiong et al.

Zhang, Guo Feng1 (with Yu, Lu Yuan) A class of two-stage and three-stageG -orthogonaland exponentially fitted Runge-Kutta methods. (Chinese. English and Chinesesummaries)

Zheng, Wei Min see Gan, Si-qing et al., 2003m:65109

Zou, Jin Ying (with Ding, Xiao Hua; Jin, Cheng Ri) Regularity of Runge-Kutta-Nystrom methods for second-order differential equations. (Chinese. English and Chinesesummaries)


Abdallah,Haıscam (with Hamza, Moulaye) Sensitivity analysis of the expected accu-mulated reward using uniformization and IRK3 methods. (English summary) (see2003e:65003)


Aceto, Lidia (with Trigiante, Donato) On the A-stable methods in the GBDF class.2003k:65068

Alonso-Mallo, Isaıas (with Reguera, Nuria) Weak ill-posedness of spatial discretizationsof absorbing boundary conditions for Schrodinger-type equations. (English summary)2003f:65159

Alvarez, Jorge (with Rojo, Jesus) An improved class of generalized Runge-Kutta methodsfor stiff problems. I. The scalar case. (English summary) 2003e:65104

Amirtharaj, E. C. Henry seeMurugesan, K. et al., 2003f:65119Awoyemi, D. O. A P-stable linear multistep method for solving general third order ordinarydifferential equations. (English summary)


Bertaccini, Daniele The spectrum of circulant-like preconditioners for some generallinear multistep formulas for linear boundary value problems. (English summary)2003m:65037

Beyn, Wolf-Jurgen (with Garay, Barnabas M.) Estimates of variable stepsize Runge-Kuttamethods for sectorial evolution equations with nonsmooth data. (English summary)


2003b:65096

Blanes, Sergio (withMoan, P. C.) Practical symplectic partitioned Runge-Kutta andRunge-Kutta-Nystrommethods. (English summary) 2003c:37120


Bujanda, Blanca (with Jorge, Juan Carlos) Fractional step Runge-Kutta methods for theresolution of two dimensional time dependent coefficient convection-diffusion problems.(English summary) (see 2003e:65003)

Butcher, J. C. (with Chan, T. M. H.) A new approach to the algebraic structures forintegration methods. (English summary) 2003h:65054

Calvo,Mari Paz (with Palencia de Lara, C.) Avoiding the order reduction of Runge-Kuttamethods for linear initial boundary value problems. (English summary) 2003h:65091

Celledoni,Elena (with Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan) Complexity theoryfor Lie-group solvers. (English summary) 2003b:65146

Chakravarthy,P. Pramod see Reddy, Y. N., 2003i:34132Chan, T. M. H. see Butcher, J. C., 2003h:65054Chang,Qian Shun seeHuang, ChengMing2, 2003f:65115(Crisfield, M. A.) see Errata: “Some remarks on the numerical time integration of non-linear

dynamical systems”Dhayabaran,D. Paul seeMurugesan, K. et al., 2003f:65119Edwards, John T. (with Ford, Neville J.; Simpson, A. Charles) The numerical solutionof linear multi-term fractional differential equations; systems of equations. (Englishsummary) 2003j:65061


Escalante, Rene Parallel strategies for the step by step Tau method. (English summary)2003k:65182

Evans, David John1 seeMurugesan, K. et al., 2003f:65119Ford, Neville J. see Edwards, John T. et al., 2003j:65061Fruchard, Augustin (with Schafke, Reinhard) Analytic solutions of difference equationswith small step size. (English summary) 2003f:39036

Fung, T. C. On the equivalence of the time domain differential quadrature method and thedissipative Runge-Kutta collocation method. (English summary) 2003b:65065

(Galvanetto, Ugo) see Errata: “Some remarks on the numerical time integration of non-lineardynamical systems”

Garay, BarnabasM. see Beyn, Wolf-Jurgen, 2003b:65096Gortz, Peter Backward error analysis of symplectic integrators for linear separableHamiltonian systems. (English summary) 2003i:65130

Gottlieb, Lee-Ad J. see Gottlieb, Sigal, 2003m:65161Gottlieb, Sigal (with Gottlieb, Lee-Ad J.) Strong stability preserving properties of Runge-Kutta time discretization methods for linear constant coefficient operators. (Englishsummary) 2003m:65161

Guo, Song Yun see Lin, Li Jun

Hamza, Moulaye see Abdallah,Haıscam, (2003e:65003)van der Houwen, P. J. (with Sommeijer, B. P.) Factorization in block-triangularly implicitmethods for shallow water applications. (English summary) 2003a:76019


Iavernaro,Felice (withMazzia, Francesca) Generalization of backward differentiationformulas for parallel computers. (English summary) 2003m:65245

Iserles, Arieh see Celledoni, Elena et al., 2003b:65146Jorge, Juan Carlos see Bujanda, Blanca, (2003e:65003)Kim, Mi-Young2 (with Kwon, Yonghoon) A collocation method for the Gurtin-MacCamyequation with finite life-span. (English summary) 2003e:65182

Kwon, Yonghoon see Kim, Mi-Young2, 2003e:65182Laburta,M. P. Integration of Hamiltonian systems via RK methods of order 6. (Spanish.English summary) (see 2003a:00031)

Lin, Li Jun (with Guo, Song Yun) Study on the history of Runge-Kutta methods—computational methods for ordinary differential equations. (Chinese. English andChinese summaries)

Maeda, Shigeru seeMiyahara,Mieko, 2003h:37146Mazzia, Francesca see Iavernaro, Felice, 2003m:65245

Mitsui, Taketomo see Qiu, Lin, 2003a:65056Miyahara,Mieko (withMaeda, Shigeru) On 3-stageRunge-Kutta methods which are bothsymplectic and symmetric. (English summary) 2003h:37146

Moan, P. C. see Blanes, Sergio, 2003c:37120Murugesan,K. (with Dhayabaran,D. Paul; Amirtharaj, E. C. Henry; Evans, David John1)A fourth order embedded Runge-Kutta RKACeM(4, 4) method based on arithmetic andcentroidal means with error control. (English summary) 2003f:65119

Nørsett, Syvert P. see Celledoni, Elena et al., 2003b:65146Orel, Bojan see Celledoni, Elena et al., 2003b:65146Ostermann, Alexander (with Thalhammer, Mechthild) Convergence of Runge-Kuttamethods for nonlinear parabolic equations. (English summary) 2003g:65131

Palencia de Lara, C. see Calvo,Mari Paz, 2003h:65091Qiu, Lin (withMitsui, Taketomo) Stability of the Radau IA and Lobatto IIIC methods forneutral delay differential system. (English summary) 2003a:65056

Reddy, Y. N. (with Chakravarthy, P. Pramod) Method of reduction of order for solving sin-gularly perturbed two-point boundary value problems. (English summary) 2003i:34132

Reguera, Nuria see Alonso-Mallo, Isaıas, 2003f:65159Rochez, Jonathan (with Rodrigue, Garry) A multigrid upwind strategy for acceleratingsteady-state computations of waves propagating with curvature-dependent speeds.(English summary) 2003c:65088

Rodrigue,Garry see Rochez, Jonathan,2003c:65088Rojo, Jesus see Alvarez, Jorge, 2003e:65104Roose, Dirk see Engelborghs,Koen, 2003e:65106Schafke,Reinhard see Fruchard, Augustin, 2003f:39036Schropp, Johannes Behavior of Runge-Kutta discretizations near equilibria of index 2differential algebraic systems. (English summary) 2003f:65145

Geometric properties of Runge-Kutta discretizations for index 2 differential algebraic

equations. (English summary) 2003k:34006

Attracting sets in index 2 differential algebraic equations and in their Runge-Kuttadiscretizations. (English summary) 2003h:34004

Simpson, A. Charles see Edwards, John T. et al., 2003j:65061Sommeijer, B. P. see van der Houwen, P. J., 2003a:76019Sun, Geng Structure-preserving algorithms for dynamical systems. (English summary)

2003i:37094Tang, Yi-Fa see Xiao, Ai-Guo, 2003m:65232

Thalhammer, Mechthild see Ostermann, Alexander, 2003g:65131Trigiante, Donato see Aceto, Lidia, 2003k:65068Vejchodsky, Tomas Fully discrete error estimation by the method of lines for a nonlinearparabolic problem. (English summary) 2003m:65162

Xiao, Ai-Guo (with Tang, Yi-Fa) Symplectic properties of multistep Runge-Kuttamethods. (English summary) 2003m:65232


Errata:

“Some remarks on the numerical time integration of non-lineardynamical systems” Erra-tum: “Some remarks on the numerical time integration of non-linear dynamical sys-tems” [J. Sound Vibration 252 (2002), no. 5, 935–944; 1912451] by P. B. Bornemann,U. Galvanetto and M. A. Crisfield.

65L07 Numerical investigation of stability of solutions

Carletti, M. Numerical determination of the instability region for a delay model of phage-bacteria interaction. (English summary) 2003b:65070

Duran Martın, Angel (with Lopez-Marcos, M. A.) Numerical behaviour of stable andunstable solitary waves. (English summary) 2003g:65085

Estep, Donald J. (with Stuart, Andrew M.) The dynamical behavior of the discontinuousGalerkin method and related difference schemes. (English summary) 2003e:65119

Gourley, S. A. see Schley, D. et al., 2003f:65131Lopez-Marcos,M. A. see Duran Martın, Angel, 2003g:65085Schley, D. (with Shail, R.; Gourley, S. A.) Stability criteria for differential equations withvariable time delays. (English summary) 2003f:65131

Shail, R. see Schley, D. et al., 2003f:65131Stuart, Andrew M. see Estep, Donald J., 2003e:65119Xu, You Hong Representation of approximation operators under fuzzy environment.(Chinese. English and Chinese summaries)



Chen, Cha’o Kuang see Lee, Hung-Changet al., 2003k:65085(Crisfield, M. A.) see Errata: “Some remarks on the numerical time integration of non-linear

dynamical systems”

Dieci, Luca Jacobian free computation of Lyapunov exponents. (English summary)2003h:34106

Figueiredo, Annibal see Gleria, I. M. et al., 2003h:34108(Galvanetto, Ugo) see Errata: “Some remarks on the numerical time integration of non-linear

dynamical systems”

Garcıa-Lopez, C. M. (with Ramos, J. I.) S-stability of piecewise-linearized and linearized=-methods. (English summary) 2003g:65091

Gleria, I. M. (with Figueiredo, Annibal; Rocha Filho, Tarcısio M.) A numericalmethod for the stability analysis of quasi-polynomial vector fields. (English summary)2003h:34108

Hung, Chen-I see Lee, Hung-Chang et al., 2003k:65085Lee, Hung-Chang (with Chen, Cha’o Kuang; Hung, Chen-I) A modified group-preservingscheme for solving the initial value problems of stiff ordinary differential equations.(English summary) 2003k:65085

Lust, Kurt Improved numerical Floquet multipliers. (English summary) 2003c:65143

Ramos, J. I. see Garcıa-Lopez, C. M., 2003g:65091Rocha Filho, Tarcısio M. see Gleria, I. M. et al., 2003h:34108


Errata:

“Some remarks on the numerical time integration of non-lineardynamical systems” Erra-tum: “Some remarks on the numerical time integration of non-linear dynamical sys-tems” [J. Sound Vibration 252 (2002), no. 5, 935–944; 1912451] by P. B. Bornemann,U. Galvanetto and M. A. Crisfield.

65L08 Improperly posed problems


Alonso-Mallo, Isaıas (with Reguera, Nuria) Weak ill-posedness of spatial discretizationsof absorbing boundary conditions for Schrodinger-type equations. (English summary)2003f:65159

Mousa, Ababneh see Yurchuk, N. I., 2003j:34102Reguera, Nuria see Alonso-Mallo, Isaıas, 2003f:65159Yurchuk, N. I. (withMousa, Ababneh) Regularization by nonlocal conditions of theincorrect problems for differential-operator equations of the first order. 2003j:34102

65L09 Inverse problems

Barahona, Pedro see Cruz, Jorge, 2003d:65066Coles, C. Parameter estimation in the 1-D transport equation with advection. (Englishsummary) 2003m:65115

Cruz, Jorge (with Barahona, Pedro) Handling differential equations with constraints fordecision support. (English summary) 2003d:65066

Jiang, Haiyan see Zhang, Ping Wen et al.


Karchevskiı, A. L. Several remarks on numerical solution of the one-dimensional coefficientinverse problem. (English summary) 2003h:65089

Sun, Yi2 see Zhang, Ping Wen et al.

Yao,Wei see Zhang, Ping Wen et al.

Zhang, Ping Wen (with Sun, Yi2; Jiang, Haiyan; Yao, Wei) Multi-scalemethods for inversemodeling in 1-DMOS capacitor. (English summary)


Binder, Thomas (with Blank, Luise; Dahmen,Wolfgang; Marquardt, Wolfgang) Iterativealgorithms for multiscale state estimation. II. Numerical investigations. (Englishsummary) 2003a:93027

Blank, Luise see Binder, Thomas et al., 2003a:93027Boguslavskiı, I. A. (with Shcherbakov, V. I.) On the identification of the parameters ofnonlinear dynamical systems. (Russian. Russian summary) 2003b:93019

Borcea, Liliana (with Druskin, Vladimir) Optimal finite difference grids for direct andinverse Sturm-Liouville problems. (English summary) 2003h:65097

Chen,Hsi-Mei An optimal control problem in determining the optimal reinforcementschedules for the Lanchester equations. (English summary) 2003m:49063

Dahmen, Wolfgang see Binder, Thomas et al., 2003a:93027Druskin, Vladimir see Borcea, Liliana, 2003h:65097Hasanov, Alemdar (with Pektas, Burhan) Simulation of ill-conditioned situations in inversecoefficient problem for the Sturm-Liouville operator based on boundary measurements.(English summary) 2003i:34027

An inverse polynomial method for the identification of the leading coefficient inthe Sturm-Liouville operator from boundary measurements. (English summary)2003m:34021

Marquardt,Wolfgang see Binder, Thomas et al., 2003a:93027Pektas, Burhan see Hasanov, Alemdar, 2003i:34027Shcherbakov,V. I. see Boguslavskiı, I. A., 2003b:93019

65L10 Boundary value problems

Aceto, Lidia (with Trigiante, Donato) On the A-stable methods in the GBDF class.2003k:65068

Al-Said, Eisa A. The use of cubic splines in the numerical solution of a system of second-order boundary value problems. (English summary) 2003d:65067

Quartic spline method for solving two point boundary value problems. (Englishsummary) 2003e:65120

see also Noor, Muhammad Aslam, 2003b:65073Andrade, Doherty (withMa, T. F.) Numerical solutions for a nonlocal equation withreflection of the argument. (English summary) 2003k:65069

Andreev, V. B. The Green function and a priori estimates for solutions of monotone three-point singularly perturbed difference schemes. (Russian. Russian summary) 2003f:65132

Auzinger,Winfried (with Koch, Othmar; Weinmuller, Ewa B.) Efficient collocationschemes for singular boundary value problems. (English summary) 2003k:65070

Avdelas, G. (with Konguetsof, A.; Simos, T. E.) A generator of dissipativemethods for thenumerical solution of the Schrodinger equation. (English summary) 2003h:65090

Aziz, Tariq (with Khan, Arshad) A spline method for second-order singularly perturbedboundary-value problems. (English summary) 2003k:65071

see also Khan, Arshad, 2003c:65058 and 2003m:65117

Boglaev, Igor P. The solution of a singularly perturbed convection-diffusion problem by aniterativedomain decomposition method. (English summary) 2003m:65116

Budd, Chris J. (with Huang, Huaxiong; Russell, Robert D.) Mesh selection for a nearlysingular boundary value problem. (English summary) 2003f:65133


Canak,Milos (with Protic, Ljubomir) Approximate solution of a boundary problem for alinear complex differential equation of the second order. (English summary)

Cash, J. R. (withMoore, D. R.; Sumarti, N.; Van Daele, M.) A highly stable deferredcorrection scheme with interpolant for systems of nonlinear two-point boundary valueproblems. (English summary)

Cheng,Wenfang (with Temam, R. M.) Numerical approximation of one-dimensionalstationary diffusion equations with boundary layers. (English summary) 2003e:65121

Clavero Gracia, Carmelo see Gracia, J. L. et al., (2003e:65003)Dey, Shivani seeMohanty, R. K. et al., 2003b:65072Dimitrova, I. Tr. (with Volkov, Lyuben G.) On the numerical solution of singularlyperturbed interface problems. (English summary) (see 2003b:00022)

Dorodna, Yu. A. On an estimate for the accuracy of the Richardson extrapolationmethodfor fourth-order ordinary differential equations. (Ukrainian. English and Ukrainiansummaries) 2003c:65056

Duru, Hakki see Gulle, Aytekin, 2003i:65059El-Gebeily, Mohamed A. see Furati, K. M., 2003c:65057Evans, David John1 (withMohanty, R. K.) Alternating group explicit method for thenumerical solution of non-linear singular two-point boundary value problems using afourth order finite difference method. (English summary) 2003k:65072

see alsoMohanty,R. K. et al., 2003b:65072Fazio, Riccardo A survey on free boundary identification of the truncated boundary innumerical BVPs on infinite intervals. (English summary)

Furati, K. M. (with El-Gebeily, Mohamed A.) A higher-order method for nonlinearsingular two-point boundary value problems. (English summary) 2003c:65057

von Golitschek,Manfred Orthogonal spline projections for linear boundary value problems.(English summary) 2003d:65068

Golushko, S. K. (with Gorshkov, V. V.; Yurchenko, A. V.) On two numerical methods forsolving multipoint nonlinear boundary value problems. (Russian. English summary)2003k:65073

Gorshkov, V. V. see Golushko, S. K. et al., 2003k:65073Gracia, J. L. (with Lisbona, Francisco J.; ClaveroGracia, Carmelo) High order ε-uniformmethods for singularly perturbed reaction-diffusion problems. (English summary) (see2003e:65003)

Gulle, Aytekin (with Duru, Hakki) Convergence of the iterative processes to the solutionof the boundary problem with the parameter. (English and Azerbaijani summaries)2003i:65059

Huang, Huaxiong see Budd, Chris J. et al., 2003f:65133Janchuk, P. The computing schemes for solving of nonlinear boundary value problem forthe ordinary differential equations. (English summary) 2003f:65134

Jin, Zhong Qiu (with Liang, Ke Wei; Li, Da Ming2) A difference method for a singularlyperturbed two-point boundary value problem. (Chinese. English summary) 2003g:65086

Kadalbajoo,Mohan K. (with Patidar, Kailash C.) Numerical solution of singularlyperturbed two point boundary value problems by spline in compression. (Englishsummary) 2003f:65135(with Patidar, Kailash C.) A survey of numerical techniques for solving singularlyperturbed ordinary differential equations. (English summary) 2003f:65136(with Patidar, Kailash C.) Numerical solution of singularly perturbed two-pointboundary value problems by spline in tension. (English summary) 2003h:65092(with Patidar, Kailash C.) Numerical solution of singularly perturbed non-lineartwo point boundary value problems by spline in compression. (English summary)2003b:65071

(with Patidar, Kailash C.) Tension spline for the solution of self-adjoint singularperturbation problems. (English summary) 2003e:65122

(with Patidar, Kailash C.) Spline techniques for solving singularly-perturbed nonlinearproblems on nonuniform grids. (English summary) 2003g:65087

(with Sharma, K. K.) Numerical analysis of boundary-value problems for singularly-perturbed differential-difference equations with small shifts of mixed type. (Englishsummary) 2003k:65074


Kandilarov, Yu. D. On the immersed interface method for reaction-diffusion problemswith discontinuous coefficients and concentrated lower terms. (English summary) (see2003b:00022)

Khan, Arshad (with Aziz, Tariq) Variable-mesh spline difference method for singularlyperturbed boundary-value problems. (English summary)(with Aziz, Tariq) Spline method for the solution of singular two-point boundary-valueproblems. (English summary) 2003c:65058

(with Aziz, Tariq) The numerical solution of third-order boundary-value problems usingquintic splines. (English summary) 2003m:65117

see also Aziz, Tariq, 2003k:65071Khanin, Raya AMathematica solver for two-point singularly-perturbed boundary valueproblems. (English summary) (see 2003f:68002)

Kierzenka, Jacek (with Shampine, Lawrence F.) A BVP solver based on residual controland the MATLAB PSE. (English summary) 2003f:65137

Kistanova, E. P. Numerical solution of boundary value problems for an ordinarydifferential equation on infinite and semi-infinite intervals. (Russian)

Koch, Othmar (withWeinmuller, Ewa B.) The convergence of shooting methods forsingular boundary value problems. (English summary) 2003h:65093

see also Auzinger,Winfried et al., 2003k:65070Konguetsof,A. see Avdelas, G. et al., 2003h:65090Kumar, Manoj A fourth-order finite difference method for a class of singular two-pointboundary value problems. (English summary) 2003g:65088

A three-point finite difference method for a class of singular two-point boundary valueproblems. (English summary) 2003d:65069

Kutniv, M. V. Three-point difference schemes of a high order of accuracy for systemsof second-order ordinary differential equations with a monotone operator. (Russian.Russian summary) 2003k:65075

Lazurchak, I. I. seeMakarov, Vladimir L., 2003m:65119

Li, Da Ming2 see Jin, ZhongQiu et al., 2003g:65086Liang, Ke Wei see Jin, Zhong Qiu et al., 2003g:65086Lima, P. M. (with Oliveira, A. M.) Numerical methods and error estimates for a singularboundary-value problem. (English and Lithuanian summaries) 2003m:65118

Linß, Torsten (with Vulanovic, Relja) Uniform methods for semilinear problems with anattractiveboundary turning point. (English summary) 2003e:65123

Lisbona, Francisco J. seeGracia, J. L. et al., (2003e:65003)Lobzhanidze,G. B. On numerical solution of Bitsadze-Samarskii problem for Sturm-Liouville operator in the piecewise linear functions space.

Ma, T. F. see Andrade, Doherty, 2003k:65069Makarov, Vladimir L. (with Lazurchak, I. I.) The two-sided FD-method of solving thefirst boundary problem for singular ODE of the second order in the half-axis. (Englishsummary) 2003m:65119

Matthews, Sean (with O’Riordan, E.; Shishkin, Grigorii I.) A numerical method fora system of singularly perturbed reaction-diffusion equations. (English summary)2003e:65124

Matus, Petr P. Monotone schemes of a higher order of accuracy for differential problemswith boundary conditions of the second and third kind. (English summary) 2003j:65068

Mazzia, Francesca (with Sgura, Ivonne) Numerical approximation of nonlinear BVPs bymeans of BVMs. (English summary) 2003k:65076

Miranville, Alain (withMuresan, Adrian) The uncentered type incremental unknowns fora singularly perturbed bilocal problem. (English summary) 2003i:65060

Mohanty, R. K. (with Evans, David John1; Dey, Shivani) Three point discretization oforder four and six for (du/dx) of the solution of non-linear singular two point boundaryvalue problem. (English summary) 2003b:65072(with Evans, David John1) A fourth order accurate cubic spline alternating groupexplicit method for non-linear singular two point boundary value problems. (Englishsummary)see also Evans, David John1, 2003k:65072

Moore, D. R. see Cash, J. R. et al.

Muradova, A. D. see Vashakmadze, T. S., 2003b:65075Muresan, Adrian seeMiranville, Alain, 2003i:65060Natesan, Srinivasan “Booster method” for singularly perturbed Robin problems. II.(English summary) 2003c:65059

(with Ramanujam, N.) “Shooting method” for the solution of singularly perturbed two-


point boundary-value problems having less severe boundary layer. (English summary)2003f:65138

Natividad,M. C. (with Stynes, M.) An extrapolation technique for a singularly perturbedproblem on a Shishkin mesh. (English summary) (see 2003a:00032)

Ng, Michael K. (with Potts, Daniel) Fast iterativemethods for sinc systems. (Englishsummary) 2003m:65120

Noor, Muhammad Aslam (with Al-Said, Eisa A.) Numerical techniques for solving systemsof second order boundary value problems. (English summary) 2003b:65073

Oliveira, A. M. see Lima, P. M., 2003m:65118

O’Riordan, E. seeMatthews, Sean et al., 2003e:65124

Palencia de Lara, C. see Calvo,Mari Paz, 2003h:65091Pandey, Rajni Kant On the convergence of a spline method for singular two point boundaryvalue problems arising in physiology. (English summary) 2003b:65074

Patidar, Kailash C. see Kadalbajoo,Mohan K., 2003b:65071;2003e:65122;2003f:65135;2003f:65136;2003g:65087and 2003h:65092

Petzold, Linda R. see Serban, Radu, 2003f:65139Pillai, A. C. Radhakrishna Fourth-order exponential finite differencemethods for boundaryvalue problems of convectivediffusion type. (English summary) 2003d:65070

Potts, Daniel see Ng, Michael K., 2003m:65120

Protic, Ljubomir see Canak, Milos

Ramanujam,N. see Shanthi, V., 2003c:65060; 2003h:65095;Valarmathi, S., 2003e:65125;2003f:65140;2003f:65141;2003h:65096 and Natesan, Srinivasan, 2003f:65138

Reddy, K. Anantha see Reddy, Y. N., 2003h:65094

Reddy, Y. N. (with Reddy, K. Anantha) Numerical integration method for generalsingularity perturbed two point boundary value problems. (English summary)2003h:65094

Roos,Hans-Gorg (with Zarin, Helena) The streamline-diffusionmethod for a convection-diffusion problem with a point source. (English summary) 2003k:65077

Russell, Robert D. see Budd, Chris J. et al., 2003f:65133Sangalli,Giancarlo Numerical evaluation of FEM with application to the 1-D advection-diffusion problem. (English summary) 2003d:65071

Serban, Radu (with Petzold, Linda R.) Efficient computation of sensitivities for ordinarydifferential equation boundary value problems. (English summary) 2003f:65139

Sgura, Ivonne seeMazzia, Francesca, 2003k:65076Shampine,Lawrence F. Singular boundary value problems for ODEs. (English summary)

2003m:65121

see also Kierzenka, Jacek, 2003f:65137Shanthi,V. (with Ramanujam, N.) A numerical method for boundary value problems forsingularly perturbed fourth-order ordinary differential equations. (English summary)2003c:65060

(with Ramanujam, N.) Asymptotic numerical methods for singularly perturbed fourthorder ordinary differential equations of convection-diffusion type. (English summary)2003h:65095

Sharma, K. K. see Kadalbajoo,Mohan K., 2003k:65074Shishkin, Grigorii I. seeMatthews, Sean et al., 2003e:65124Simos, T. E. see Avdelas, G. et al., 2003h:65090Stynes,M. see Natividad,M. C., (2003a:00032)Sumarti, N. see Cash, J. R. et al.

Temam, R. M. see Cheng, Wenfang, 2003e:65121Tokuda, Shinji Numerical method of a differential equation with regular singular points inmagnetohydrodynamics. (Japanese)

Trigiante, Donato see Aceto, Lidia, 2003k:65068Valarmathi, S. (with Ramanujam, N.) A computational method for solving boundaryvalue problems for third-order singularly perturbed ordinary differential equations.(English summary) 2003f:65140

(with Ramanujam, N.) An asymptotic numerical fitted mesh method for singularlyperturbed third order ordinary differential equations of reaction-diffusion type. (Englishsummary) 2003f:65141

(with Ramanujam, N.) An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type. (English summary)2003h:65096

(with Ramanujam, N.) Boundary value technique for finding numerical solution toboundary value problems for third order singularly perturbed ordinary differentialequations. (English summary) 2003e:65125

Van Daele, M. see Cash, J. R. et al.

Vashakmadze, T. S. (withMuradova, A. D.) On the analysis of numerical methods forsolving boundary value problems with a small parameter. (Russian. English, Russian andGeorgian summaries) 2003b:65075

Volkov, Lyuben G. see Dimitrova, I. Tr., (2003b:00022)Vulanovic,Relja A higher-order scheme for quasilinear boundary value problems with twosmall parameters. (English summary) 2003b:65076

see also Linß, Torsten, 2003e:65123Wang, Cai Hua A compact high-accuracy difference scheme for a convection-diffusionequation with source term. (Chinese. English and Chinese summaries)

Wang, Yuan Ming2 Numerov’s method for strongly nonlinear two-point boundary valueproblems. (English summary)

Weinmuller, Ewa B. see Koch, Othmar, 2003h:65093 and Auzinger, Winfried et al.,2003k:65070

Yoshida,Kazuki1 Error analysis of the Shortley-Weller finite difference method applied totwo-point boundary value problems. (English summary) 2003a:65060

Yurchenko, A. V. see Golushko, S. K. et al., 2003k:65073Zarin, Helena see Roos, Hans-Gorg, 2003k:65077Zeng,Wen Ping Two new classes of implicit difference schemes for solving the rod vibrationequation of fourth order. (Chinese. English and Chinese summaries)


Adams, Mark seeMuir, P. H., 2003g:65082Andreev, V. B. A priori estimates for solutions of singularly perturbed two-point boundaryvalue problems. (Russian. Russian summary) 2003f:34032

Aziz, Tariq (with Khan, Arshad) Quintic spline approach to the solution of a singularly-perturbed boundary-value problem. (English summary) 2003e:65130

Baran, I. O. see Deıneka, V. S., 2003m:65125

Bhat, M. Seetharama see Jutty K, Anand et al.Carstensen, Carsten see Carstensen, Christine et al.

Carstensen, Christine (with Carstensen, Carsten; von Dollen, Andreas) NumerischeSchwingungssimulation: Modellierung und Algorithmen. (German summary)[Numerical simulation of vibrations: modeling and algorithms]

Caussignac, Ph. (with Descloux, J.; Yamnahakki, A.) Simulation of some quantum modelsfor semiconductors. (English summary) 2003i:35237

Chakravarthy, P. Pramod see Reddy, Y. N., 2003i:34132Degond, Pierre (with El Ayyadi, A.) A coupled Schrodinger drift-diffusion model forquantum semiconductor device simulations. (English summary)

Deıneka, V. S. (with Baran, I. O.) The finite element method for a second-order ordinarydifferential equation with nonhomogeneous conjugation conditions. (Russian. English,Russian and Ukrainian summaries) 2003m:65125

Descloux, J. see Caussignac, Ph. et al., 2003i:35237Doha, Eid H. On the coefficients of differentiated expansions and derivatives of Jacobipolynomials. (English summary) 2003e:33020

von Dollen, Andreas see Carstensen, Christine et al.Ehme, Jeffrey Existence for a boundary value problem with nonlinear boundaryconditions. (English summary) 2003b:34038

El Ayyadi, A. see Degond, Pierre

El-Sayed, SalahM. Integral methods for computing solutions of a class of singular two-point boundary value problems. (English summary) 2003d:34046

Fu, Dong Sheng see Liu, Guo Qing et al., 2003a:34063Ghafoori-Tabrizi, K. see Gousheh, S. S. et al., 2003k:34176Gheorghiu, Calin Ioan (withMuresan, Adrian) On the significance of integral properties oforbits in some superlinear fixed-period problems. (English summary) 2003i:34043

Ghose, Debasish see Jutty K, Anand et al.Goldner, Gavrila (with Trımbitas, Radu T.) A combined method for differential equations.Gousheh, S. S. (with Sepangi, H. R.; Ghafoori-Tabrizi, K.) A method for solving systemsof non-linear differential equations with moving singularities. (English summary)2003k:34176

Imanchiev, A. E. Necessary and sufficient conditions for the unique solvability of a linearmultipoint boundary value problem. (Russian. English, Russian and Kazakh summaries)2003d:34030

Jutty K, Anand (with Bhat, M. Seetharama; Ghose, Debasish) Performance of parallelshooting method for closed loop guidance of an optimal launch vehicle trajectory.(English summary)

Khan, Arshad see Aziz, Tariq, 2003e:65130Kumar, Manoj A difference scheme based on non-uniform mesh for singular two-pointboundary value problems. (English summary) 2003j:65069

Kunert, Gerd A note on the energy norm for a singularly perturbed model problem.(English summary) 2003m:65124

Kurbanbaev,O. O. A numerical-analyticmethod for boundary value problems withseparated boundary conditions. (Russian. English and Uzbek summaries) 2003m:34018

Kurbanov, I. A. (withMekhtiyeva,G. Yu.) On two approximated methods for solution ofone boundary value problem for a differential equation of the fourth order. (English andAzerbaijani summaries)

Liu, Guo Qing (with Fu, Dong Sheng; Shen, Zu He) On numerical solutions of peri-odically perturbed conservative systems. (Chinese. English and Chinese summaries)2003a:34063

Mekhtiyeva, G. Yu. see Kurbanov, I. A.

Muir, P. H. (with Adams, Mark) Mono-implicit Runge-Kutta-Nystrommethods withapplication to boundary value ordinary differential equations. (English summary)2003g:65082

Muresan, Adrian see Gheorghiu,Calin Ioan, 2003i:34043Palomares, A. (with Pasadas,Miguel; Ramırez Gonzalez, Victoriano; Ruiz Galan, Manuel)Schauder bases in Banach spaces: application to numerical solutions of differentialequations. (English summary) 2003i:65048

Pasadas, Miguel see Palomares, A. et al., 2003i:65048Plotnikov, A. A. On estimates for the computational accuracy of solutions of singularlyperturbed nonlinear boundary value problems. (Russian) (see 2003d:00013)

Ramanujam, N. see Valanarasu, T., 2003m:34127

Ramırez Gonzalez, Victoriano see Palomares, A. et al., 2003i:65048Ravi Kanth, A. S. V. (with Reddy, Y. N.) The method of inner boundary condition forsingular boundary value problems. (English summary) 2003k:34037

Reddy, Y. N. (with Chakravarthy, P. Pramod) Method of reduction of order for solving sin-gularly perturbed two-point boundary value problems. (English summary) 2003i:34132see also Ravi Kanth, A. S. V., 2003k:34037

Ruiz Galan, Manuel see Palomares, A. et al., 2003i:65048Sepangi, H. R. see Gousheh, S. S. et al., 2003k:34176Shen, Zu He see Liu, Guo Qing et al., 2003a:34063Shereshevskii, I. A. A finite dimensional analog of the Krein formula. (English summary)

2003b:47025

Tirmizi, I. A. (with Twizell, E. H.) Higher-order finite-difference methods for nonlinearsecond-order two-point boundary-value problems. (English summary) 2003g:65089

Trımbitas, Radu T. see Goldner, GavrilaTwizell, E. H. see Tirmizi, I. A., 2003g:65089Valanarasu, T. (with Ramanujam, N.) Asymptotic initial value methods for two-parametersingularly perturbed boundary value problems for second order ordinary differentialequations. (English summary) 2003m:34127

Vetekha, V. G. Parameter continuation method for ordinary differential equations. (Englishsummary) (see 2003g:00024)

Wong, Patricia J. Y. Abel-Gontscharoff boundary value problems on measure chains.(English summary) 2003d:34044

Yamnahakki, A. see Caussignac,Ph. et al., 2003i:35237Zhang, Zhimin Finite element superconvergence approximation for one-dimensionalsingularly perturbed problems. (English summary) 2003c:65063


65L12 Finite difference methods

Al-Said, Eisa A. Smooth spline solutions for two-point boundary-value problems. (Englishsummary) 2003i:65061see also Noor, Muhammad Aslam, 2003e:65126

Borcea, Liliana (with Druskin, Vladimir) Optimal finite difference grids for direct andinverse Sturm-Liouville problems. (English summary) 2003h:65097

Druskin, Vladimir (withMoskow, Shari) Three-point finite-difference schemes, Padeand the spectral Galerkin method. I. One-sided impedance approximation. (Englishsummary) 2003f:65142

see also Borcea, Liliana, 2003h:65097Kumar, Manoj A difference scheme based on non-uniform mesh for singular two-pointboundary value problems. (English summary) 2003j:65069

Matus, A. P. (withMatus, Petr P.) The maximum principle and its application for theanalysis of difference schemes. (English and Lithuanian summaries) 2003c:65061

Matus, Petr P. seeMatus, A. P., 2003c:65061Moskow, Shari see Druskin, Vladimir, 2003f:65142Noor, Muhammad Aslam (with Al-Said, Eisa A.) Finite-differencemethod for a system ofthird-order boundary-value problems. (English summary) 2003e:65126

Tirmizi, I. A. (with Twizell, E. H.) Higher-order finite-difference methods for nonlinearsecond-order two-point boundary-value problems. (English summary) 2003g:65089

Tsaritsyna, I. V. Asymptotic estimates in the problem of stability of implicit differencemethods for almost linear differential equations. (English summary) 2003k:65078

Twizell, E. H. see Tirmizi, I. A., 2003g:65089

Items with secondary classifications in 65L12Al-Said, Eisa A. see Noor, Muhammad Aslam, 2003b:65073Andreev, V. B. The Green function and a priori estimates for solutions of monotone three-point singularly perturbed difference schemes. (Russian. Russian summary) 2003f:65132

Aziz, Tariq (with Khan, Arshad) A spline method for second-order singularly perturbedboundary-value problems. (English summary) 2003k:65071

Boglaev, Igor P. The solution of a singularly perturbed convection-diffusion problem by aniterativedomain decomposition method. (English summary) 2003m:65116

Clavero Gracia, Carmelo see Gracia, J. L. et al., (2003e:65003)Coles, C. Parameter estimation in the 1-D transport equation with advection. (Englishsummary) 2003m:65115

Dorodna, Yu. A. On an estimate for the accuracy of the Richardson extrapolationmethodfor fourth-order ordinary differential equations. (Ukrainian. English and Ukrainiansummaries) 2003c:65056

El-Gebeily, Mohamed A. see Furati, K. M., 2003c:65057Evans, David John1 (withMohanty, R. K.) Alternating group explicit method for thenumerical solution of non-linear singular two-point boundary value problems using afourth order finite difference method. (English summary) 2003k:65072

Fukunaga,Masataka A differencemethod for initial value problems for ordinary fractionaldifferential equations. (English summary) 2003d:26007

Furati, K. M. (with El-Gebeily, Mohamed A.) A higher-order method for nonlinearsingular two-point boundary value problems. (English summary) 2003c:65057

Gracia, J. L. (with Lisbona, Francisco J.; ClaveroGracia, Carmelo) High order ε-uniformmethods for singularly perturbed reaction-diffusion problems. (English summary) (see2003e:65003)

Guo, Ben-Yu seeWang, YuanMing2, 2003b:65059Jankowski, Tadeusz Boundary value problems for systems of functional differentialequations. (English summary) 2003k:34116

Jin, Zhong Qiu (with Liang, Ke Wei; Li, Da Ming2) A difference method for a singularlyperturbed two-point boundary value problem. (Chinese. English summary) 2003g:65086

Kadalbajoo,Mohan K. (with Patidar,Kailash C.) Spline techniques for solving singularly-perturbed nonlinear problems on nonuniform grids. (English summary) 2003g:65087

Khan, Arshad seeAziz, Tariq, 2003k:65071Kumar, Manoj A fourth-order finite difference method for a class of singular two-pointboundary value problems. (English summary) 2003g:65088A three-point finite difference method for a class of singular two-point boundary valueproblems. (English summary) 2003d:65069

Kutniv,M. V. Three-point difference schemes of a high order of accuracy for systemsof second-order ordinary differential equations with a monotone operator. (Russian.Russian summary) 2003k:65075

Leon, Liliana (with Zuazua, Enrique) Boundary controllability of the finite-differencespace semi-discretizations of the beam equation. (English summary) 2003k:93009


Linß, Torsten (with Vulanovic, Relja) Uniform methods for semilinear problems with anattractiveboundary turning point. (English summary) 2003e:65123

Lisbona, Francisco J. seeGracia, J. L. et al., (2003e:65003)Matthews, Sean (with O’Riordan, E.; Shishkin, Grigorii I.) A numerical method fora system of singularly perturbed reaction-diffusion equations. (English summary)2003e:65124


Miao, S. see Yin, Gang George et al., 2003k:93110Mickens, Ronald E. Asymptotic solutions to a discrete Airy equation. (English summary)

2003g:39016Nonstandard finite difference schemes for differential equations. (English summary)2003h:65112

Miranville, Alain (withMuresan, Adrian) The uncentered type incremental unknowns fora singularly perturbed bilocal problem. (English summary) 2003i:65060

Mohanty,R. K. see Evans, David John1, 2003k:65072Muradova, A. D. see Vashakmadze, T. S., 2003b:65075Muresan, Adrian seeMiranville, Alain, 2003i:65060Natesan, Srinivasan (with Ramanujam, N.) “Shooting method” for the solution ofsingularly perturbed two-point boundary-value problems having less severe boundary

layer. (English summary) 2003f:65138

Natividad,M. C. (with Stynes, M.) An extrapolation technique for a singularly perturbedproblem on a Shishkin mesh. (English summary) (see 2003a:00032)

Noor, MuhammadAslam (with Al-Said, Eisa A.) Numerical techniques for solving systemsof second order boundary value problems. (English summary) 2003b:65073


O’Riordan, E. seeMatthews, Sean et al., 2003e:65124Patidar, Kailash C. seeKadalbajoo,Mohan K., 2003g:65087Ramanujam, N. see Shanthi,V., 2003c:65060;Natesan, Srinivasan, 2003f:65138;Valarmathi,

S., 2003f:65140;2003f:65141 and 2003h:65096

Reddy, K. Anantha see Reddy, Y. N., 2003h:65094Reddy, Y. N. (with Reddy, K. Anantha) Numerical integration method for generalsingularity perturbed two point boundary value problems. (English summary)2003h:65094

Shanthi, V. (with Ramanujam, N.) A numerical method for boundary value problems forsingularly perturbed fourth-order ordinary differential equations. (English summary)2003c:65060

Shishkin, Grigorii I. seeMatthews, Sean et al., 2003e:65124Stynes, M. seeNatividad,M. C., (2003a:00032)Valarmathi, S. (with Ramanujam, N.) A computational method for solving boundaryvalue problems for third-order singularly perturbed ordinary differential equations.(English summary) 2003f:65140

(with Ramanujam, N.) An asymptotic numerical fitted mesh method for singularlyperturbed third order ordinary differential equations of reaction-diffusion type. (Englishsummary) 2003f:65141

(with Ramanujam, N.) An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type. (English summary)2003h:65096

Vashakmadze, T. S. (withMuradova, A. D.) On the analysis of numerical methods forsolving boundary value problems with a small parameter. (Russian. English, Russian andGeorgian summaries) 2003b:65075

Vulanovic, Relja A higher-order scheme for quasilinear boundary value problems with twosmall parameters. (English summary) 2003b:65076

see also Linß, Torsten, 2003e:65123Wang, Cai Hua A compact high-accuracy difference scheme for a convection-diffusionequation with source term. (Chinese. English and Chinese summaries)

Wang, Shu Qiang (with Yang, Ding Hui; Yang, Kuan De) A compact finite differencescheme for the elasticity equations. (Chinese. English and Chinese summaries)

Wang, Yuan Ming2 (with Guo, Ben-Yu) Monotone finite difference schemes for nonlinearsystems with mixed quasi-monotonicity. (English summary) 2003b:65059

Yang, Ding Hui seeWang, Shu Qiang et al.

Yang, Kuan De seeWang, Shu Qiang et al.

Yin, Gang George (with Zhang, Qing1; Miao, S.) Markov chain approximation techniquesfor a class of nonlinear control problems. (English summary) 2003k:93110

Yoshida, Kazuki1 Error analysis of the Shortley-Weller finite difference method applied totwo-point boundary value problems. (English summary) 2003a:65060

Zeng, Wen Ping Two new classes of implicit difference schemes for solving the rod vibrationequation of fourth order. (Chinese. English and Chinese summaries)

Zhang, Qing1 see Yin, Gang George et al., 2003k:93110Zolotareva, N. D. The ellipsoid method for estimating the global error of the Stormermethod. (Russian. Russian summary) 2003e:65110

A new method for obtaining a guaranteed estimate for the error of the Stormer methodusing ellipsoids. (Russian. Russian summary) 2003h:65084

Zuazua, Enrique see Leon, Liliana, 2003k:93009

65L15 Eigenvalue problems

Chanane, Bilal Approximation of the eigenvalues of regular fourth order Sturm-Liouvilleproblems using interpolation theory. (English summary) 2003g:65090

Dwyer, H. I. (with Zettl, Anton) Appendix to: “Computing eigenvalues of regular Sturm-Liouville problems” [Electron. J. Differential Equations 1994, No. 06, approx. 10 pp.(electronic); MR 95k:65078]. (English summary)

Hanelli, Lulezim (with Osmani, Flora) Numerical solution for some special high ordereigenvalue problems arising in thermal instability. (English summary)

Khankishiev, Z. F. The solution of one difference problem for the equation of vibration of astick with the separated variablesmethod. (English and Azerbaijani summaries)

Liu, Kam Moon see Sun, Wei Wei, 2003e:65127Osmani, Flora see Hanelli, Lulezim

Sun, Wei Wei (with Liu, KamMoon) Iterative algorithms for nonlinear ordinarydifferential eigenvalue problems. (English summary) 2003e:65127

Zettl, Anton see Dwyer, H. I.


Al-Said, Eisa A. (with Noor, MuhammadAslam) Quartic spline method for solving fourthorder obstacle boundary value problems. (English summary) 2003e:65129

Al′shina, E. A. (with Kalitkin, N. N.) Computation of the spectra of linear differentialoperators. (Russian) 2003a:34142

Bandyrskiı, B. I. (with Lazurchak, I. I.; Makarov, Vladimir L.) A functional-discretemethod for solving left-definite Sturm-Liouville problems with an eigenparameter in theboundary conditions. (Russian. Russian summary) 2003e:34042

Chanane, Bilal Fliess series approach to the computation of the eigenvalues of fourth-orderSturm-Liouville problems. (English summary) 2003b:34162

El-Gebeily, Mohamed A. Computation of the eigenelements of singular Sturm-Liouvilleproblems. (English summary) 2003e:65131

Ghelardoni, P. (with Gheri, G.; Marletta, Marco) On some numerical methods for spectralcomputations in 1-rational Sturm-Liouville problems. (English summary) 2003f:34167

Gheri, G. see Ghelardoni, P. et al., 2003f:34167Huang, Bin One computational method of the eigenvalues of the horizontal vibrationproblem of beam. (English and Chinese summaries) 2003m:34202


Ishikawa, Hideaki Yoshio An accurate method for numerical calculations in quantummechanics. (English summary) 2003b:81037

Kalitkin, N. N. see Al′shina, E. A., 2003a:34142Lazurchak, I. I. see Bandyrskiı, B. I. et al., 2003e:34042Makarov, Vladimir L. see Bandyrskiı, B. I. et al., 2003e:34042Marletta,Marco see Ghelardoni, P. et al., 2003f:34167Meurice, Y. Arbitrarily accurate eigenvalues for one-dimensional polynomial potentials.(English summary) 2003h:81042

Nagatou,K. (with Nakao, Mitsuhiro T.; Wakayama,Masato) Verified numericalcomputations for eigenvalues of non-commutative harmonic oscillators. (Englishsummary) 2003f:34177

Nakao, Mitsuhiro T. see Nagatou, K. et al., 2003f:34177Noor, Muhammad Aslam see Al-Said, Eisa A., 2003e:65129Pesheck, E. (with Pierre, Christophe; Shaw, S. W.) A new Galerkin-based approach foraccurate non-linear normal modes through invariant manifolds. (English summary)2003a:70029

Pierre, Christophe see Pesheck, E. et al., 2003a:70029Shaw, S. W. see Pesheck, E. et al., 2003a:70029Wakayama,Masato see Nagatou, K. et al., 2003f:34177

65L20 Stability and convergence of numerical methods

Abrashin, V. N. (with Egorov, Andrei A.; Zhadaeva, N. G.) On the rate of convergence ofadditive iterativemethods. (Russian. Russian summary) 2003a:65061

Butcher, J. C. The A-stability of methods with Pade and generalized Pade stabilityfunctions. (English summary) 2003m:65122

(with Heard, A. D.) Stability of numerical methods for ordinary differential equations.(English summary) 2003m:65123

Chen, Guang Nan see Huang, Cheng Ming2 et al., 2003e:65128Egorov, Andrei A. see Abrashin, V. N. et al., 2003a:65061Fu,Hongyuan see Huang, ChengMing2 et al., 2003e:65128Garcıa-Lopez, C. M. (with Ramos, J. I.) S-stability of piecewise-linearized and linearized=-methods. (English summary) 2003g:65091

Heard, A. D. see Butcher, J. C., 2003m:65123

Huang, ChengMing2 (with Li, Shou Fu; Fu, Hongyuan; Chen, Guang Nan) Nonlinearstability of general linear methods for delay differential equations. (English summary)2003e:65128

Huang, Zhi Jiao (with Zhang, Cheng Jian) Nonlinear stability of one-leg methodsfor systems of neutral delay-differential equations. (Chinese. English and Chinesesummaries)(with Li, Jian Guo1; Li, Ai Xiong) Convergence for the numerical solutions ofproportional delay differential equations. (Chinese. English and Chinese summaries)

Insperger, Tamas (with Stepan, Gabor) Semi-discretizationmethod for delayed systems.(English summary) 2003h:65098

Khankishiev,Z. F. The investigation of stability of the difference problem for onedifferential equation of fourth order. (English and Azerbaijani summaries)

Kuang, Jiaoxun see Tian, Hong Jiong, 2003f:65143Li, Ai Xiong see Huang, Zhi Jiao et al.

Li, Jian Guo1 see Huang, Zhi Jiao et al.

Li, Shou Fu see Huang, Cheng Ming2 et al., 2003e:65128Mohamad, S. (with Naim, A. G.) Discrete-time analogues of integrodifferential equationsmodelling bidirectional neural networks. (English summary) 2003b:65077

Naim, A. G. seeMohamad, S., 2003b:65077Ramos, J. I. see Garcıa-Lopez, C. M., 2003g:65091Shen, Long Jun see Yuan, Guang Wei et al.Shen, Zhi Jun see Yuan, GuangWei et al.

Stepan,Gabor see Insperger, Tamas, 2003h:65098Tian, Hong Jiong (with Kuang, Jiaoxun) The numerical stability of the block =-methodsfor delay differential equations. (English summary) 2003f:65143

Yuan, Guang Wei (with Shen, Zhi Jun; Shen, Long Jun) Convergence of inner iterationsscheme of the discrete ordinate method for neutron transport equations. (Englishsummary)

Zhadaeva,N. G. see Abrashin, V. N. et al., 2003a:65061Zhang, Cheng Jian see Huang, Zhi Jiao


Al′shina, E. A. (with Kalitkin, N. N.) Computation of the spectra of linear differentialoperators. (Russian) 2003a:34142


Aragone, Laura S. (with Di Marco, Silvia C.; Gonzalez, Roberto L. V.) Numerical analysisof a minimax optimal control problem with an additive final cost. (English summary)2003a:49038


Bartoszewski, Z. (with Jackiewicz,Z.) Stability analysis of two-step Runge-Kutta methodsfor delay differential equations. (English summary) 2003c:65053


Bonaventura,L. see Erlicher, S. et al., 2003c:70002Borovykh, Natalia (with Spijker, M. N.) Bounding partial sums of Fourier seriesin weightedL2-norms, with applications to matrix analysis. (English summary)2003h:42007

Bujanda, Blanca (with Jorge, Juan Carlos) Additive Runge-Kutta methods for theresolution of linear parabolic problems. (English summary)

Bursi, O. S. see Erlicher, S. et al., 2003c:70002Cash, J. R. (withMoore, D. R.; Sumarti, N.; Van Daele, M.) A highly stable deferredcorrection scheme with interpolant for systems of nonlinear two-point boundary valueproblems. (English summary)

Chang,Qian Shun seeHuang, ChengMing2, 2003f:65115

Del Buono, Nicoletta (withMastroserio, C.) Explicit methods based on a class of fourstage fourth order Runge-Kutta methods for preserving quadratic laws. (Englishsummary) 2003i:65057

Di Marco, Silvia C. see Aragone, Laura S. et al., 2003a:49038Doedel, Eusebius see Engelborghs,Koen, 2003e:65132Duru, Hakki see Gulle, Aytekin, 2003i:65059El-Hawary, H. M. (withMahmoud, S. M.) On some 4-point spline collocation methodsfor solving ordinary initial value problems. (English summary) 2003g:65092

El-Khatib, M. A. see El-Safty, Abdalla et al.

El-Safty, Abdalla (with Salim, M. S.; El-Khatib, M. A.) Convergence of the spline functionfor delay dynamic system. (English summary)

Engelborghs, Koen (with Doedel, Eusebius) Stability of piecewise polynomial collocationfor computing periodic solutions of delay differential equations. (English summary)2003e:65132

Erlicher, S. (with Bonaventura, L.; Bursi, O. S.) The analysis of the generalized-αmethodfor non-linear dynamic problems. (English summary) 2003c:70002

Farkas, Gyula2 Small delay inertial manifolds under numerics: a numerical structuralstability result. (English summary) 2003d:34143

Franco, J. M. (with Gomez, I.) Construction of a five-step singly diagonally implicitRunge-Kutta-Nystrommethod and application to the solution of some problems inelastodynamics. (Spanish. English summary) 2003b:65069

Gan, Si-qing (with Sun, Geng) Order results of general linear methods for multiply stiffsingular perturbation problems. (English summary) 2003h:65082

Gomez, I. see Franco, J. M., 2003b:65069Gonzalez, Roberto L. V. see Aragone, Laura S. et al., 2003a:49038Gourley, S. A. see Schley, D. et al., 2003f:65131Gulle, Aytekin (with Duru, Hakki) Convergence of the iterative processes to the solutionof the boundary problem with the parameter. (English and Azerbaijani summaries)2003i:65059

in ’t Hout, K. J. On the contractivity of implicit-explicit linear multistep methods. (Englishsummary) 2003j:65065


Huang, Zhi Jiao see Li, Jian Guo1 et al.

Jackiewicz, Z. see Bartoszewski, Z., 2003c:65053Jankowski, Tadeusz Boundary value problems for systems of functional differentialequations. (English summary) 2003k:34116

Jorge, Juan Carlos see Bujanda, BlancaKadalbajoo,Mohan K. (with Patidar, Kailash C.) Numerical solution of singularlyperturbed two point boundary value problems by spline in compression. (Englishsummary) 2003f:65135

Kalitkin, N. N. see Al′shina, E. A., 2003a:34142Kandilarov, Yu. D. On the immersed interface method for reaction-diffusion problemswith discontinuous coefficients and concentrated lower terms. (English summary) (see2003b:00022)

Khilenko, V. V. Convergence of algorithms of the order reduction method in the analysis ofnonlinear models of fragments of automatic control systems and process control systemsfor technological processes. (Russian. English and Ukrainian summaries) 2003b:34023

Koch, Othmar (withWeinmuller, Ewa B.) The convergence of shooting methods forsingular boundary value problems. (English summary) 2003h:65093

Koto, Toshiyuki Stability of Runge-Kutta methods for delay integro-differential equations.(English summary) 2003f:65127

Kumar, Manoj A fourth-order finite difference method for a class of singular two-pointboundary value problems. (English summary) 2003g:65088

Lazurchak, I. I. seeMakarov, Vladimir L., 2003m:65119Li, Ai Xiong see Li, Jian Guo1 et al.

Li, Jian Guo1 (with Li, Ai Xiong; Wang, Hong Shan; Huang, Zhi Jiao) >1-stability ofmultistep Runge-Kutta methods. (Chinese. English and Chinese summaries)

Li, Shou Fu seeWang, Wen Qiang, 2003m:65104Mahmoud, S. M. see El-Hawary, H. M., 2003g:65092Makarov, Vladimir L. (with Lazurchak, I. I.) The two-sided FD-method of solving thefirst boundary problem for singular ODE of the second order in the half-axis. (Englishsummary) 2003m:65119

Mastroserio, C. see Del Buono, Nicoletta, 2003i:65057Mitsui, Taketomo see Qiu, Lin, 2003a:65056Moore, D. R. see Cash, J. R. et al.

Ostermann, Alexander see Bakaev, Nikolai Yu., 2003j:65055Paoli, Laetitia (with Schatzman, Michelle) A numerical scheme for impact problems. I.The one-dimensional case. (English summary) 2003i:34032a

(with Schatzman, Michelle) A numerical scheme for impact problems. II. Themultidimensional case. (English summary) 2003i:34032b

Patidar, Kailash C. seeKadalbajoo,Mohan K., 2003f:65135Pinchukov, V. I. On fourth-order implicit absolutely stable Runge-Kutta schemes. (Russian.English summary) 2003e:65117

Podhaisky, H. (with Schmitt, B. A.; Weiner, Rudiger) Design, analysis and testing of someparallel two-stepW -methods for stiff systems. (English summary) 2003g:65078

Qiu, Lin (withMitsui, Taketomo) Stability of the Radau IA and Lobatto IIIC methods forneutral delay differential system. (English summary) 2003a:65056

Ramanujam, N. see Valarmathi, S., 2003f:65140Roos, Hans-Gorg (with Zarin, Helena) A second-order scheme for singularly perturbeddifferential equations with discontinuous source term. (English summary) 2003m:65126

Salim, M. S. see El-Safty, Abdalla et al.Schatzman,Michelle see Paoli, Laetitia, 2003i:34032aand 2003i:34032b

Schley, D. (with Shail, R.; Gourley, S. A.) Stability criteria for differential equations withvariable time delays. (English summary) 2003f:65131

Schmitt, B. A. see Podhaisky,H. et al., 2003g:65078Sha, Desong (with Zhou, Xiangmin; Tamma, K. K.) Time discretized operators.II. Towards the theoretical design of a new generation of a generalized family ofunconditionally stable implicit and explicit representations of arbitrary order for


computational dynamics. (English summary) 2003m:70006

see also Tamma, K. K. et al., 2003m:70007

Shail, R. see Schley, D. et al., 2003f:65131Spijker, M. N. see Borovykh, Natalia, 2003h:42007Sumarti, N. see Cash, J. R. et al.

Sun, Geng see Zhang, Cheng Jian, 2003b:34154 and Gan, Si-qing, 2003h:65082Tamma, K. K. (with Sha, Desong; Zhou, Xiangmin) Time discretized operators.I. Towards the theoretical design of a new generation of a generalized family ofunconditionally stable implicit and explicit representations of arbitrary order forcomputational dynamics. (English summary) 2003m:70007

see also Sha, Desong et al., 2003m:70006

Tsaritsyna, I. V. Asymptotic estimates in the problem of stability of implicit differencemethods for almost linear differential equations. (English summary) 2003k:65078

Valarmathi, S. (with Ramanujam, N.) A computational method for solving boundaryvalue problems for third-order singularly perturbed ordinary differential equations.(English summary) 2003f:65140

Van Daele, M. see Cash, J. R. et al.

Vulanovic,Relja A higher-order scheme for quasilinear boundary value problems with twosmall parameters. (English summary) 2003b:65076

Wang,Hong Shan see Li, Jian Guo1 et al.

Wang,Wen Qiang (with Li, Shou Fu) The numerical stability of one-leg methods fornonlinear stiff delay differential equations with a variable delay. (Chinese. Englishsummary) 2003m:65104

Weiner, Rudiger see Podhaisky,H. et al., 2003g:65078Weinmuller, Ewa B. see Koch, Othmar, 2003h:65093Zarin, Helena see Roos, Hans-Gorg, 2003m:65126

Zhang, Cheng Jian (with Sun, Geng) The discrete dynamics of nonlinear infinite-delay-differential equations. (English summary) 2003b:34154

Nonlinear stability of natural Runge-Kutta methods for neutral delay differentialequations. (English summary) 2003j:65067

Convergence analysis for general linear methods applied to stiff delay differentialequations. (English summary) 2003f:65130

Zhang, Guo Feng1 see Zhao, Shuangsuo,2003m:65105

Zhang, Zhimin Finite element superconvergence approximation for one-dimensionalsingularly perturbed problems. (English summary) 2003c:65063

Zhao, Shuangsuo (with Zhang, Guo Feng1) A class of r-point (r + 1)st-order A-stableone-block methods with damping at the infinite point. (English summary) 2003m:65105

Zhou, Xiangmin see Sha, Desong et al., 2003m:70006 and Tamma, K. K. et al., 2003m:70007

65L50 Mesh generation and refinement

Holder, Thomas (with Leimkuhler, Benedict; Reich, Sebastian) Explicit variable step-sizeand time-reversible integration. (English summary) 2003a:65062

Kunert, Gerd A note on the energy norm for a singularly perturbed model problem.(English summary) 2003m:65124

Leimkuhler, Benedict see Holder, Thomas et al., 2003a:65062Reich, Sebastian see Holder, Thomas et al., 2003a:65062Soderlind,Gustaf Automatic control and adaptive time-stepping. (English summary)


Auzinger,Winfried (with Koch, Othmar; Weinmuller, Ewa B.) Efficient collocationschemes for singular boundary value problems. (English summary) 2003k:65070

Budd, Chris J. (with Huang, Huaxiong; Russell, Robert D.) Mesh selection for a nearlysingular boundary value problem. (English summary) 2003f:65133

Calvo Pinilla, M. (with Vigo-Aguiar, Jesus) A note on the step size selection in Adamsmultistep methods. (English summary) 2003f:65123

Garcıa, Amelia see Lopez, David J. et al., 2003h:65083Huang,Huaxiong see Budd, Chris J. et al., 2003f:65133Kadalbajoo,Mohan K. (with Patidar,Kailash C.) Spline techniques for solving singularly-perturbed nonlinear problems on nonuniform grids. (English summary) 2003g:65087

Koch,Othmar see Auzinger,Winfried et al., 2003k:65070Lopez, David J. (withMartın Ordonez, Pablo; Garcıa, Amelia) A variable-stepsizevariable-order multistep method for the integration of perturbed linear problems.(English summary) 2003h:65083

Martın Ordonez, Pablo see Lopez, David J. et al., 2003h:65083Miranville, Alain (withMuresan, Adrian) The uncentered type incremental unknowns fora singularly perturbed bilocal problem. (English summary) 2003i:65060

Muresan, Adrian seeMiranville, Alain, 2003i:65060Patidar, Kailash C. see Kadalbajoo,Mohan K., 2003g:65087Russell, Robert D. see Budd, Chris J. et al., 2003f:65133Vigo-Aguiar, Jesus seeCalvo Pinilla, M., 2003f:65123Weinmuller, Ewa B. see Auzinger, Winfried et al., 2003k:65070Zhang, Zhimin On the hp finite element method for the one dimensional singularlyperturbed convection-diffusion problems. (English summary) 2003j:65071

65L60 Finite elements, Rayleigh-Ritz, Galerkin and collocationmethods

Aliabadi,M. Hosseini see Babolian, E., 2003f:65144Al-Said, Eisa A. (with Noor, MuhammadAslam) Quartic spline method for solving fourthorder obstacle boundary value problems. (English summary) 2003e:65129

Arevalo, Carmen (with Fuhrer, Claus; Selva, Monica) A collocation formulation ofmultistep methods for variable step-size extensions. (English summary)

Aziz, Tariq (with Khan, Arshad) Quintic spline approach to the solution of a singularly-perturbed boundary-value problem. (English summary) 2003e:65130

Babolian, E. (with Aliabadi, M. Hosseini) A modified spectral method for numericalsolution of ordinary differential equations with non-analytic solution. (Englishsummary) 2003f:65144

Babuska, Ivo M. (with Banerjee, Uday; Osborn, John E.) On principles for the selectionof shape functions for the generalized finite element method. (English summary)2003i:65062

Banerjee, Uday see Babuska, Ivo M. et al., 2003i:65062Baran, I. O. see Deıneka, V. S., 2003m:65125

Barrio, Roberto Construction of seminumerical schemes: application to the artificialsatellite problem. (English summary) (see 2003e:65003)

Beg, G. K. (with El-Gebeily, Mohamed A.) A Galerkin method of O(h2) for singularboundary value problems. (English summary) 2003h:65099

Brill, StephenH. Analytical solution of Hermite collocation discretization of self-adjointordinary differential equations. (English summary) 2003d:65072

Chen, Chuan Miao see Xiao, Chun XiaDeıneka, V. S. (with Baran, I. O.) The finite element method for a second-order ordinarydifferential equation with nonhomogeneous conjugation conditions. (Russian. English,Russian and Ukrainian summaries) 2003m:65125

Doedel, Eusebius see Engelborghs,Koen, 2003e:65132El-Daou, M. K. (with Ortiz, E. L.) Biorthogonality, permanence and approximationmethods for differential equations. (English summary) 2003c:65062

El-Gebeily, Mohamed A. Computation of the eigenelements of singular Sturm-Liouvilleproblems. (English summary) 2003e:65131

see also Beg, G. K., 2003h:65099El-Hawary, H. M. (withMahmoud, S. M.) On some 4-point spline collocation methodsfor solving ordinary initial value problems. (English summary) 2003g:65092

Engelborghs, Koen (with Doedel, Eusebius) Stability of piecewise polynomial collocationfor computing periodic solutions of delay differential equations. (English summary)2003e:65132

Fuhrer, Claus see Arevalo, Carmen et al.Funaro, Daniele A superconsistent Chebyshev collocation method for second-orderdifferential operators. (English summary) 2003b:65078

Gabbasov, N. S. New versions of the collocation method for a class of integrodifferentialequations. (Russian) 2003i:65063

Kadalbajoo,Mohan K. (with Patidar, Kailash C.) Spline techniques for the numericalsolution of singular perturbation problems. (English summary) 2003e:65133

Khan, Arshad see Aziz, Tariq, 2003e:65130Liu, Gui-Rong (withWu, Tian Yun) Differential quadrature solutions of eighth-orderboundary-value differential equations. (English summary) 2003e:65134

Mahmoud, S. M. see El-Hawary, H. M., 2003g:65092Mihaila, Bogdan (with Shaw, Ruth E.) Parallel algorithm with spectral convergence fornonlinear integro-differential equations. (English summary) 2003g:65093

Noor, MuhammadAslam see Al-Said, Eisa A., 2003e:65129Ohm, Mi Ray Error estimates for the solution of second order elliptic boundary valueproblem and its first derivative by Ritz method. (English summary) 2003j:65070

Oja, Peeter (with Tarang, M.) Stability of piecewise polynomial collocation for Volterraintegro-differential equations. (English and Lithuanian summaries) 2003b:65079

Ortiz, E. L. see El-Daou, M. K., 2003c:65062Osborn, John E. see Babuska, Ivo M. et al., 2003i:65062Patidar, Kailash C. seeKadalbajoo,Mohan K., 2003e:65133Roos, Hans-Gorg (with Zarin, Helena) A second-order scheme for singularly perturbeddifferential equations with discontinuous source term. (English summary) 2003m:65126

Selva, Monica see Arevalo, Carmen et al.

Shaw, Ruth E. seeMihaila, Bogdan, 2003g:65093Shen, Yuan Tong see Yi, Xu Ming et al.Sugihara,Masaaki Double exponential transformation in the sinc-collocation method fortwo-point boundary value problems. (English summary) 2003m:65127

Sun, Jian Hua see Yi, Xu Ming et al.

Tarang, M. see Oja, Peeter, 2003b:65079Wu, Tian Yun see Liu, Gui-Rong, 2003e:65134Xiao, Chun Xia (with Chen, Chuan Miao) Superconvergence of C 0 finite elements for theinitial value problem of a second-order ordinary differential equation. (Chinese. Englishand Chinese summaries)

Ye, Bi Quan see Yi, Xu Ming et al.Yi, Xu Ming (with Ye, Bi Quan; Sun, Jian Hua; Shen, Yuan Tong) Numerical detection ofa boundary layer with wavelets. (Chinese. English and Chinese summaries)

Zarin, Helena see Roos, Hans-Gorg, 2003m:65126

Zhang, Xin Hong An incomplete interpolation-based finite element method for solving aconvection-dominatedequation. (Chinese. English and Chinese summaries)

Zhang, Zhimin On the hp finite element method for the one dimensional singularlyperturbed convection-diffusion problems. (English summary) 2003j:65071

Finite element superconvergence approximation for one-dimensional singularlyperturbed problems. (English summary) 2003c:65063


Al-Said, Eisa A. Quartic spline method for solving two point boundary value problems.(English summary) 2003e:65120see also Noor, Muhammad Aslam, 2003b:65073

Auzinger, Winfried (with Koch, Othmar; Weinmuller, Ewa B.) Efficient collocationschemes for singular boundary value problems. (English summary) 2003k:65070


Aziz, Tariq see Khan, Arshad, 2003m:65117

Berrut, Jean-Paul (withMittelmann, Hans D.) Linear rational interpolation and itsapplication in approximation and boundary value problems. (English summary)2003i:34023

Brill, StephenH. Optimal upstream collocation solution of the one-dimensional steady-state convection-diffusion equation. (English summary) 2003g:76086

Cheng, Wenfang (with Temam, R. M.) Numerical approximation of one-dimensionalstationary diffusion equations with boundary layers. (English summary) 2003e:65121

Doha, Eid H. On the coefficients of differentiated expansions and derivatives of Jacobipolynomials. (English summary) 2003e:33020

Druskin, Vladimir (withMoskow, Shari) Three-point finite-difference schemes, Pade


and the spectral Galerkin method. I. One-sided impedance approximation. (Englishsummary) 2003f:65142

El-Hawary, H. M. (with Salim, M. S.; Hussien, H. S.) Ultraspherical integral methodfor optimal control problems governed by ordinary differential equations. (Englishsummary) 2003m:49052

Evans, David John1 seeMohanty, R. K.

Hussien, H. S. see El-Hawary, H. M. et al., 2003m:49052

Janchuk,P. The computing schemes for solving of nonlinear boundary value problem forthe ordinary differential equations. (English summary) 2003f:65134

Kadalbajoo,Mohan K. (with Patidar, Kailash C.) Numerical solution of singularlyperturbed two point boundary value problems by spline in compression. (Englishsummary) 2003f:65135(with Patidar, Kailash C.) Numerical solution of singularly perturbed non-lineartwo point boundary value problems by spline in compression. (English summary)2003b:65071

(with Patidar, Kailash C.) Tension spline for the solution of self-adjoint singularperturbation problems. (English summary) 2003e:65122


Khan, Arshad (with Aziz, Tariq) The numerical solution of third-order boundary-valueproblems using quintic splines. (English summary) 2003m:65117

Koch,Othmar see Auzinger,Winfried et al., 2003k:65070Kunert, Gerd A note on the energy norm for a singularly perturbed model problem.(English summary) 2003m:65124

Lamarque, Claude-Henri (with Pernot, S.) Stationary vibration analysis of time-periodicsystems via a wavelet-based searching procedure. (English summary) 2003c:65154

Lang, A. W. (with Sloan, D. M.) Hermite collocation solution of near-singular problemsusing numerical coordinate transformations based on adaptivity. (English summary)2003i:65084

Long, Ai Fang A wavelets solution for differential equations. (Chinese. English and Chinesesummaries)

Mittelmann,Hans D. see Berrut, Jean-Paul, 2003i:34023Mohanty,R. K. (with Evans, David John1) A fourth order accurate cubic spline alternatinggroup explicit method for non-linear singular two point boundary value problems.(English summary)

Moskow, Shari see Druskin, Vladimir, 2003f:65142Naim Anwar, M. see Sallam, S. M., 2003e:65108Ng, Michael K. (with Potts, Daniel) Fast iterativemethods for sinc systems. (Englishsummary) 2003m:65120

Noor, Muhammad Aslam (with Al-Said, Eisa A.) Numerical techniques for solving systemsof second order boundary value problems. (English summary) 2003b:65073

Patidar, Kailash C. see Kadalbajoo,Mohan K., 2003b:65071;2003e:65122 and 2003f:65135

Pernot, S. see Lamarque, Claude-Henri,2003c:65154Phillips, D. R. see Raju, I. S.Potts, Daniel see Ng, Michael K., 2003m:65120

Raju, I. S. (with Phillips, D. R.) Further developments in the MLPG method for beamproblems. (English summary)

Reddy, S. C. seeWeideman, J. A. C., 2003g:65004Robinson, James Cooper Computing inertial manifolds. (English summary) 2003g:37142Roos,Hans-Gorg (with Zarin, Helena) The streamline-diffusionmethod for a convection-diffusion problem with a point source. (English summary) 2003k:65077

Salim, M. S. see El-Hawary, H. M. et al., 2003m:49052

Sallam, S. M. (with Naim Anwar, M.) Sixth order C 2-spline collocation methodfor integrating second order ordinary initial value problems. (English summary)2003e:65108

Sangalli,Giancarlo Numerical evaluation of FEM with application to the 1-D advection-diffusion problem. (English summary) 2003d:65071

Sloan, D. M. see Lang, A. W., 2003i:65084Temam, R. M. see Cheng, Wenfang, 2003e:65121Tsuchiya, Takuya Finite element approximations of parametrized strongly nonlinearboundary value problems. (English summary) 2003h:47129

Weideman, J. A. C. (with Reddy, S. C.) A MATLAB differentiationmatrix suite. (Englishsummary) 2003g:65004

Weinmuller, Ewa B. see Auzinger, Winfried et al., 2003k:65070Zarin, Helena see Roos, Hans-Gorg, 2003k:65077

65L70 Error bounds

Baran, I. O. see Deıneka, V. S., (2003e:00027)Bielecki, Andrzej Estimation of the Euler method error on a Riemannian manifold.(English summary)

Bonelli, Alessio (with Bursi, O. S.; Mancuso, Massimo) Explicit predictor-multicorrectortime discontinuous Galerkin methods for non-linear dynamics. (English summary)2003k:65079

Bursi, O. S. see Bonelli, Alessio et al., 2003k:65079Butcher, J. C. (with Jackiewicz, Z.) A reliable error estimation for diagonally implicitmultistage integration methods. (English summary) 2003e:65135

Deıneka, V. S. (with Baran, I. O.) A problem with nonhomogeneous principal conditionsand high-accuracy numerical algorithms for its discretization. (Ukrainian. Ukrainiansummary) (see 2003e:00027)

Giles, Michael B. (with Pierce, Niles A.) Superconvergent lift estimates through adjointerror analysis. (English summary) (see 2003f:65006)

Jackiewicz, Z. see Butcher, J. C., 2003e:65135Mancuso,Massimo see Bonelli, Alessio et al., 2003k:65079Pierce, Niles A. see Giles, Michael B., (2003f:65006)


Al-Said, Eisa A. Smooth spline solutions for two-point boundary-value problems. (Englishsummary) 2003i:65061

see also Noor, Muhammad Aslam, 2003e:65126

Amirtharaj, E. C. Henry seeMurugesan, K. et al., 2003f:65119Aziz, Tariq (with Khan, Arshad) Quintic spline approach to the solution of a singularly-perturbed boundary-value problem. (English summary) 2003e:65130

see also Khan, Arshad, 2003c:65058Butcher, J. C. (with Jackiewicz, Z.) Error estimation for Nordsieck methods. (Englishsummary) 2003m:65106

Cameron, Frank (with Palmroth, Mikko; Piche, Robert) Quasi stage order conditions forSDIRK methods. (English summary) 2003j:65063

Dhayabaran, D. Paul seeMurugesan, K. et al., 2003f:65119Doedel, Eusebius see Engelborghs,Koen, 2003e:65132El-Gebeily, Mohamed A. see Furati, K. M., 2003c:65057Engelborghs, Koen (with Doedel, Eusebius) Stability of piecewise polynomial collocationfor computing periodic solutions of delay differential equations. (English summary)2003e:65132

Evans, David John1 seeMurugesan, K. et al., 2003f:65119Furati, K. M. (with El-Gebeily, Mohamed A.) A higher-order method for nonlinearsingular two-point boundary value problems. (English summary) 2003c:65057

Gan, Si-qing (with Sun, Geng) Order results of general linear methods for multiply stiffsingular perturbation problems. (English summary) 2003h:65082

Jackiewicz, Z. see Butcher, J. C., 2003m:65106

Jackson, Kenneth R. see Nedialkov, Nedialko S. et al., 2003c:65036Jin, Zhong Qiu (with Liang, Ke Wei; Li, Da Ming2) A difference method for a singularlyperturbed two-point boundary value problem. (Chinese. English summary) 2003g:65086

Kadalbajoo,Mohan K. (with Patidar, Kailash C.) Numerical solution of singularlyperturbed non-linear two point boundary value problems by spline in compression.(English summary) 2003b:65071

Khan, Arshad (with Aziz, Tariq) Spline method for the solution of singular two-pointboundary-value problems. (English summary) 2003c:65058

see also Aziz, Tariq, 2003e:65130Kumar, Manoj A three-point finite difference method for a class of singular two-pointboundary value problems. (English summary) 2003d:65069


Matthies, Karsten Backward error analysis of a full discretization scheme for a class ofsemilinear parabolic partial differential equations. (English summary) 2003k:37142

Murugesan, K. (with Dhayabaran,D. Paul; Amirtharaj, E. C. Henry; Evans, David John1)A fourth order embedded Runge-Kutta RKACeM(4, 4) method based on arithmetic andcentroidal means with error control. (English summary) 2003f:65119

Nedialkov, Nedialko S. (with Jackson, Kenneth R.; Pryce, John D.) An effectivehigh-orderinterval method for validating existence and uniqueness of the solution of an IVP for anODE. (English summary) 2003c:65036

Noor, MuhammadAslam (with Al-Said, Eisa A.) Finite-differencemethod for a system ofthird-order boundary-value problems. (English summary) 2003e:65126

Ohm, Mi Ray Error estimates for the solution of second order elliptic boundary valueproblem and its first derivative by Ritz method. (English summary) 2003j:65070


Palmroth, Mikko see Cameron, Frank et al., 2003j:65063Patidar, Kailash C. seeKadalbajoo,Mohan K., 2003b:65071Piche, Robert see Cameron, Frank et al., 2003j:65063Pryce, John D. see Nedialkov, Nedialko S. et al., 2003c:65036Roos, Hans-Gorg (with Zarin, Helena) A second-order scheme for singularly perturbeddifferential equations with discontinuous source term. (English summary) 2003m:65126(with Zarin, Helena) The streamline-diffusion method for a convection-diffusionproblem with a point source. (English summary) 2003k:65077

Shampine, Lawrence F. Variable order Adams codes. (English summary) 2003f:65128

Sun, Geng see Gan, Si-qing,2003h:65082Zarin, Helena see Roos, Hans-Gorg, 2003k:65077 and 2003m:65126Zolotareva, N. D. The ellipsoid method for estimating the global error of the Stormermethod. (Russian. Russian summary) 2003e:65110A new method for obtaining a guaranteed estimate for the error of the Stormer methodusing ellipsoids. (Russian. Russian summary) 2003h:65084

65L80 Methods for differential-algebraic equations

Bayram, Mustafa see Celik, Ercan et al., 2003k:65080and 2003m:65130Benderskaya, G. Ya. see Kulikov, G. Yu. et al., 2003e:65136Bulatov, M. V. (with Chistyakov, V. F.) On a numerical method for solving differential-algebraic equations. (Russian. Russian summary) 2003i:65064

Burrage, Kevin see Kerr, Minnie, 2003k:65082Cao, Yang2 (with Li, Shengtai; Petzold, Linda R.) Adjoint sensitivity analysis fordifferential-algebraic equations: algorithms and software. (English summary)2003m:65129

(with Li, Shengtai; Petzold, Linda R.; Serban, Radu) Adjoint sensitivity analysis fordifferential-algebraic equations: the adjoint DAE system and its numerical solution.(English summary) 2003m:65128

Celik, Ercan (with Bayram, Mustafa) Arbitrary order numerical method for solvingdifferential-algebraic equation by Pade series. (English summary) 2003k:65080(with Karaduman, Erdal; Bayram, Mustafa) Numerical solutions of chemicaldifferential-algebraic equations. (English summary) 2003m:65130

Chistyakov, V. F. see Bulatov, M. V., 2003i:65064Dabrowicz-Tlałka, Anita (with Jankowski, Tadeusz) Quadratic convergence of monotoneiterations of differential-algebraic equations. (English summary) 2003h:65100

England, Roland (with Lamour, Rene; Lopez Estrada, Jesus) Multiple shooting using adichotomically stable integrator for solving differential-algebraic equations. (Englishsummary) 2003k:65081

Higueras Sanz, Immaculada (with Soderlind, Gustaf) Logarithmic norms and nonlinearDAE stability. (English summary) 2003j:65072

Jankowski, Tadeusz see Dabrowicz-Tlałka, Anita, 2003h:65100


Jin, Xiao-Qing see Lei, Siu-Long, (2003e:65003)Karaduman, Erdal see Celik, Ercan et al., 2003m:65130Kerr, Minnie (with Burrage, Kevin) New multivalue methods for differential algebraicequations. (English summary) 2003k:65082

Korneva,A. A. see Kulikov, G. Yu. et al., 2003e:65136Kulikov, G. Yu. (with Korneva, A. A.; Benderskaya, G. Ya.) On the numerical solution oflarge-scale systems of differential-algebraic equations of index 1. (Russian. English andRussian summaries) 2003e:65136

Kunkel, Peter (with Stover, Ronald) Symmetric collocation methods for linear differential-algebraic boundary value problems. (English summary) 2003e:65137

Lamour, Rene see England, Roland et al., 2003k:65081Lei, Siu-Long (with Jin, Xiao-Qing) Strang-type preconditioners for differential-algebraicequations. (English summary) (see 2003e:65003)

Li, Shengtai see Cao, Yang2 et al., 2003m:65128 and 2003m:65129

Lin, Ping1 (with Spiteri, Raymond J.) A predicted sequential regularization method forindex-2 Hessenberg DAEs. (English summary) 2003e:65138

Liu, De Gui see Luo, Xin Long, 2003i:65065Lopez Estrada, Jesus see England, Roland et al., 2003k:65081Luo, Xin Long (with Liu, De Gui) Real-time simulation algorithms for computingdifferential-algebraic equations. (Chinese. Chinese summary) 2003i:65065

Nipp, Kaspar Numerical integration of differential algebraic systems and invariantmanifolds. (English summary) 2003e:65139

Petzold, Linda R. see Cao, Yang2 et al., 2003m:65128and 2003m:65129

Sand, Jørgen On implicit Euler for high-order high-index DAEs. (English summary)2003k:65083

Schropp, Johannes Behavior of Runge-Kutta discretizations near equilibria of index 2differential algebraic systems. (English summary) 2003f:65145

One- and multistep discretizations of index 2 differential algebraic systems and their usein optimization. (English summary) 2003m:65131

Seiler, Werner M. Completion to involution and semidiscretisations. (English summary)2003f:65146

Serban, Radu see Cao, Yang2 et al., 2003m:65128

Soderlind,Gustaf see Higueras Sanz, Immaculada, 2003j:65072Spiteri, Raymond J. see Lin, Ping1, 2003e:65138Stover, Ronald see Kunkel, Peter, 2003e:65137Tang, Yun see Yasir, Kamal H., 2003k:65084Yasir, Kamal H. (with Tang, Yun) Computation of the singularity induced bifurcationpoints in DAEs via extended system reduction. (English summary) 2003k:65084

Items with secondary classifications in 65L80Abramov, A. A. (with Balla, K.; Ul′yanova, V. I.; Yukhno, L. F.) On a nonlinear selfadjointspectral problem for some differential-algebraic equations of index 1. (Russian. Russiansummary) 2003h:34003

Anh, V. V. see Liu, Fa Wang et al., 2003e:65165Baker, C. T. H. (with Paul, C. A. H.; Tian, Hong Jiong) Differential algebraic equationswith after-effect. (English summary) 2003k:34128

Balla, K. (withMarz, Roswitha) A unified approach to linear differential algebraicequations and their adjoints. (English summary) 2003g:34002

see also Abramov, A. A. et al., 2003h:34003Berz, Martin see Hoefkens, Jens, 2003c:65035Betsch, P. (with Steinmann, Paul) Conservation properties of a time FE method. III.Mechanical systems with holonomic constraints. (English summary) 2003b:70002

Bomhof, ChristiaanWillem (with van der Vorst, Henk A.) A parallelizableGMRES-typemethod for p-cyclic matrices, with applications in circuit simulation. (English summary)2003m:65038

Boyadzhiev, Todor (with Todorov, M. D.; Fiziev, P. P.; Yazadjiev, Stoytcho S.) A numericalalgorithm for modelling of boson-fermion stars in dilatonic gravity. (English summary)2003i:83071

Buttner, Jorg (with Simeon, Bernd) Runge-Kutta methods in elastoplasticity. (Englishsummary) 2003c:74102

Chan, R. P. K. (with Chartier, P.; Murua, Ander) Post-projected Runge-Kuttamethods forindex-2 differential-algebraic equations. (English summary) 2003f:65124

Chan, Raymond H. (with Jin, Xiao-Qing; Tam, Yue-Hung) Strang-type precondition-ers for solving systems of ODEs by boundary value methods. (English summary)2003g:65077

Chartier, P. see Chan, R. P. K. et al., 2003f:65124Debrabant,K. see Lucht,W., 2003h:65110Djouad, Rafik (with Sportisse, Bruno) Solving reduced chemical models in air pollutionmodelling. (English summary) 2003j:86009

Fiziev, P. P. see Boyadzhiev,Todor et al., 2003i:83071Hoefkens, Jens (with Berz, Martin) Verification of invertibility of complicated functionsover large domains. (English summary) 2003c:65035

Huang, Lan Jie On higher-order time-accurate implicit difference methods for the unsteadyincompressible Navier-Stokes equations. (Chinese. English summary) 2003g:76081

Jin, Xiao-Qing see Chan, RaymondH. et al., 2003g:65077Liu, Fa Wang (with Turner, Ian W.; Anh, V. V.) An unstructured mesh finite volumemethod for modelling saltwater intrusion into coastal aquifers. (English summary)2003e:65165

Lucht,W. (with Debrabant, K.) On quasi-linear PDAEs with convection: applications,indices, numerical solution. (English summary) 2003h:65110

Marz, Roswitha Differential algebraic systems anew. (English summary) 2003f:34001

(with Rodrıguez-Santiesteban, Antonio R.) Analyzing the stability behaviour ofsolutions and their approximations in case of index-2 differential-algebraic systems.(English summary) 2003a:34003

see also Balla, K., 2003g:34002Murua, Ander see Chan, R. P. K. et al., 2003f:65124Paul, C. A. H. see Baker, C. T. H. et al., 2003k:34128Rabier, Patrick J. (with Rheinboldt, Werner C.) Theoretical and numerical analysis ofdifferential-algebraic equations. 2003f:34002

Rheinboldt,Werner C. see Rabier, Patrick J., 2003f:34002

Rodrıguez-Santiesteban,Antonio R. seeMarz, Roswitha, 2003a:34003Schropp, Johannes Geometric properties of Runge-Kutta discretizations for index 2differential algebraic equations. (English summary) 2003k:34006

Attracting sets in index 2 differential algebraic equations and in their Runge-Kuttadiscretizations. (English summary) 2003h:34004

Simeon, Bernd see Buttner, Jorg, 2003c:74102Skvortsov, L. M. Diagonally implicit Runge-Kutta FSAL methods for stiff and differential-algebraic systems. (Russian. English and Russian summaries) 2003h:65087

Sportisse, Bruno seeDjouad, Rafik, 2003j:86009Steinmann, Paul see Betsch, P., 2003b:70002Tam, Yue-Hung see Chan, RaymondH. et al., 2003g:65077Tian, Hong Jiong see Baker, C. T. H. et al., 2003k:34128Todorov, M. D. see Boyadzhiev, Todor et al., 2003i:83071Turner, Ian W. see Liu, Fa Wang et al., 2003e:65165Ul′yanova, V. I. see Abramov, A. A. et al., 2003h:34003van der Vorst, Henk A. see Bomhof, ChristiaanWillem, 2003m:65038

Yazadjiev, StoytchoS. see Boyadzhiev,Todor et al., 2003i:83071Yukhno, L. F. see Abramov, A. A. et al., 2003h:34003

65L99 None of the above, but in this section

Allen, Leanne (with Bridges, Thomas J.) Numerical exterior algebra and the compoundmatrix method. (English summary) 2003j:65073

Bridges, Thomas J. see Allen, Leanne, 2003j:65073Bulut, Hasan (with Evans, David John1) On the solution of the Riccati equation by thedecomposition method. (English summary) 2003b:65080

Chen, Cha’o Kuang see Lee, Hung-Changet al., 2003k:65085Cherruault, Yves see Chrysos, M. et al., 2003h:65101Chrysos, M. (with Sanchez, Florence; Cherruault, Yves) Improvement of convergence ofAdomian’s method using Pade approximants. (English summary) 2003h:65101

Enright, W. H. The design and implementation of usable ODE software. (Englishsummary) 2003m:65132

Evans, David John1 (with Hossen, K. A.) Asymptotic decomposition method for solvingmildly nonlinear differential equation. (English summary) 2003f:65147

see also Bulut, Hasan, 2003b:65080 and Inc, M.

Hirayama, Hiroshi2 Numerical technique for solving an ordinary differential equation byPicard’s method. (see 2003a:00028)

Hossen, K. A. see Evans, David John1, 2003f:65147Hung, Chen-I see Lee, Hung-Chang et al., 2003k:65085Inc, M. (with Evans, David John1) The decomposition method for solving of a class ofsingular two-point boundary value problems. (English summary)

Lee, Hung-Chang (with Chen, Cha’o Kuang; Hung, Chen-I) A modified group-preservingscheme for solving the initial value problems of stiff ordinary differential equations.(English summary) 2003k:65085

Leephakpreeda, Thananchai Novel determination of differential-equation solutions:universal approximation method. (English summary) 2003i:65066

Pardo, Enrique2 Blurred derivatives and meshless methods. (English summary)2003k:65086

Sanchez, Florence see Chrysos, M. et al., 2003h:65101


Abbaoui, K. see Himoun, N. et al., 2003m:65099

Al-Hayani,Waleed see Casasus Latorre, Luis, 2003f:34023Biscay, R. J. see Carbonell, F. et al., 2003e:34091Bohmer, Klaus (with Janovska, Drahoslava; Janovsky, Vladimır) On the numericalanalysis of the imperfect bifurcation of codim ≤ 3. (English summary) 2003g:65158

Cabada, Alberto (with Cid, Jose Angel; Pouso, Rodrigo Lopez) Existence results andapproximation methods for functional ordinary differential equations with singulardiffusion-type differential operators. (English summary) 2003e:34118

Cano, Begona (with Lewis, H. Ralph) A comparison of symplectic and Hamilton’sprinciple algorithms for autonomous and non-autonomous systems of ordinarydifferential equations. (English summary) 2003g:34023

Carbonell, F. (with Jimenez, Juan Carlos; Biscay, R. J.) A numerical method for thecomputation of the Lyapunov exponents of nonlinear ordinary differential equations.(English summary) 2003e:34091

Casasus Latorre, Luis (with Al-Hayani, Waleed) The decomposition method for ordinarydifferential equations with discontinuities. (English summary) 2003f:34023

Cherruault, Yves see Himoun, N. et al., 2003m:65099

Cid, Jose Angel seeCabada, Alberto et al., 2003e:34118Deeba, Elias see Yoon, Jeong-Mi

Dieci, Luca (with Van Vleck, Erik S.) Lyapunov spectral intervals: theory and computa-tion. (English summary) 2003h:34107

Dunne, J. F. A fast time-domain integration method for computing non-stationaryresponse histories of linear oscillators with discrete-time random forcing. (Englishsummary) 2003f:70003

Froman, Nanny (with Froman, Per Olof) Physical problems solved by the phase-integralmethod. (English summary) 2003f:81052

Froman, Per Olof see Froman, Nanny, 2003f:81052He, Ji-Huan Homotopy perturbation method: a new nonlinear analytical technique.(English summary) 2003f:34015

A simple perturbation approach to Blasius equation. (English summary) 2003m:34039

Himoun, N. (with Abbaoui, K.; Cherruault, Yves) New results on Adomian method.(English summary) 2003m:65099

Hirayama, Hiroshi2 (with Satou, Soutarou) Solution methods for delayed differentialequations by using series. (Japanese)

Janovska, Drahoslava see Bohmer, Klaus et al., 2003g:65158Janovsky, Vladimır see Bohmer, Klaus et al., 2003g:65158Jimenez, Juan Carlos see Carbonell, F. et al., 2003e:34091Khuri, S. A. Numerical order verification of the asymptotic expansion of a nonlineardifferential equation arising in general relativity. (English summary) 2003h:83003

65M Partial differential equations, initial value and time-dependent initial-boundary value problems1901 2003 65M06

A numerical algorithm for solving Troesch’s problem. (English summary)Kilbas, A. A. (with Trujillo, Juan J.) Differential equations of fractional order: methods,results and problems. II. (English summary) 2003h:34006

Lewis, H. Ralph see Cano, Begona, 2003g:34023Marasco, Addolorata (with Romano, Antonio) Scientific computing withMathematica. (English summary) 2003h:34002

Pouso, Rodrigo Lopez see Cabada, Alberto et al., 2003e:34118Revnic, Adrian Dynamic iteration methods for differential equations with mixed modifica-tions of the argument. (English summary) 2003i:34152

Romano, Antonio seeMarasco, Addolorata, 2003h:34002Satou,Soutarou see Hirayama, Hiroshi2

Shawagfeh, Nabil T. Analytical approximate solutions for nonlinear fractional differentialequations. (English summary) 2003f:34024

Trujillo, Juan J. see Kilbas, A. A., 2003h:34006Van Vleck, Erik S. see Dieci, Luca, 2003h:34107Wu, Xin Yuan (with Xia, Jian Lin) New vector forms of elemental functions with Taylorseries. (English summary)

Xia, Jian Lin seeWu, Xin Yuan

Yoon, Jeong-Mi (with Deeba, Elias) A decomposition method for solving nonlinearoscillating equations. (English summary)

65Mxx Partial differential equations, initial value andtime-dependent initial-boundary value problems



Items with secondary classifications in 65Mxx

Busenhart, Hedwig Ulmer see Kreiss, Heinz-Otto, 2003d:35033Cant, Stewart High-performance computing in computational fluid dynamics: progress andchallenges. (English summary)

(Carmichael, Gregory R.) see Atmospheric modeling, 2003j:86001(Chattot, J.-J.) see Innovative methods for numerical solutions of partial differential

equations, 2003f:65006(Chen, Zhangxin) see Fluid flow and transport in porous media: mathematical and numerical

treatment, 2003b:76003(Chock, David P.) see Atmospheric modeling, 2003j:86001Chung, T. J. Computational fluid dynamics. (English summary) 2003c:76001Deville, Michel (with Fischer, Paul F.; Mund, E. H.) High-order methods forincompressible fluid flow. (English summary) 2003g:76071

(Ewing, Richard E.) see Fluid flow and transport in porous media: mathematical andnumerical treatment, 2003b:76003

Fedkiw, Ronald P. see Osher, Stanley, 2003j:65002Fischer, Paul F. see Deville, Michel et al., 2003g:76071(Hafez,M. M.) see Innovative methods for numerical solutions of partial differential

equations, 2003f:65006Kreiss, Heinz-Otto (with Busenhart, Hedwig Ulmer) Time-dependent partial differentialequations and their numerical solution. (English summary) 2003d:35033

Kulikovskiı, A. G. (with Pogorelov, N. V.; Semenov, A. Yu.) Математическиевопросычисленного решения гиперболических систем уравнении. (Russian. English andRussian summaries) [Mathematical problems in the numerical solution of hyperbolicsystems of equations] 2003f:65004

Langtangen,Hans Petter Computational partial differential equations. 2003k:65002

Lipatov, Alexander S. The hybrid multiscale simulation technology. (English summary)2003g:76122

Lomax, H. (with Pulliam, T. H.; Zingg, D. W.) Fundamentals of computational fluiddynamics. (English summary) 2003b:76114

(Meister, Andreas2) see Hyperbolic partial differential equations, 2003a:35003Mund, E. H. see Deville, Michel et al., 2003g:76071Murawski, K. Analytical and numerical methods for wave propagation in fluid media.

2003j:76018

Osher, Stanley (with Fedkiw, Ronald P.) Level set methods and dynamic implicitsurfaces. (English summary) 2003j:65002

Owens, Robert G. (with Phillips, T. N.) Computational rheology. (English summary)2003h:76007

Phillips, T. N. see Owens, Robert G., 2003h:76007Pogorelov, N. V. see Kulikovskiı, A. G. et al., 2003f:65004Pulliam, T. H. see Lomax, H. et al., 2003b:76114(Roe, Philip L.) see Innovative methods for numerical solutions of partial differential

equations, 2003f:65006Semenov, A. Yu. see Kulikovskiı, A. G. et al., 2003f:65004(Struckmeier, Jens) see Hyperbolic partial differential equations, 2003a:35003(Toro, E. F.) see Godunovmethods, 2003j:65004Zingg, D. W. see Lomax, H. et al., 2003b:76114


Arcachon Innovative methods for numerical solutions of partial differential equations.2003f:65006

Atmospheric modeling Atmospheric modeling. 2003j:86001

ContemporaryMathematics Fluid flow and transport in porous media: mathematical andnumerical treatment. 2003b:76003

Festschrift:

Roe, Philip L. Innovative methods for numerical solutions of partial differentialequations. 2003f:65006

Fluid flow and transport in porous media: mathematical and numerical treatment Fluidflow and transport in porous media: mathematical and numerical treatment.2003b:76003

Godunov methods Godunov methods. 2003j:65004

Hamburg Hyperbolic partial differential equations. 2003a:35003Hyperbolic partial differential equations Hyperbolic partial differential equations.

2003a:35003Innovative methods for numerical solutions of partial differential equations Innovativemethods for numerical solutions of partial differential equations. 2003f:65006

Minneapolis,MN Atmospheric modeling. 2003j:86001

Oxford Godunov methods. 2003j:65004

South Hadley, MA Fluid flow and transport in porous media: mathematical andnumerical treatment. 2003b:76003

Symposium:Progress in Numerical Solutions of Partial Differential Equations Innovativemethodsfor numerical solutions of partial differential equations. 2003f:65006

65M06 Finite difference methods

Abalakin, I. V. (with Zhokhova, A. V.; Chetverushkin, B. N.) Kinetically consistentschemes of increased order of accuracy.(Russian. English and Russian summaries)2003f:65148

Abgrall, Remi (with Barth, Timothy J.) New results for residual distribution schemes.(English summary) (see 2003j:65004)(withMer-Nkonga, Katherine; Nkonga, B.) A Lax-Wendroff type theorem for residualschemes. (English summary) (see 2003f:65006)(with Barth, Timothy J.) Residual distribution schemes for conservation laws viaadaptive quadrature. (English summary) 2003m:65133

see also Gozalo, L., (2003j:65004)Abrugia, Gerardo (with Amato, Umberto) =-splitting method: a fractional step,explicit/semi-implicit method for solving air flow equations inside internal combustionengines. (English summary)

Adams, C. S. seeWiniecki, T., 2003c:65080Adamsson, Carl see Nordstrom, Jan et al.

Aiso, Hideaki Oleınik’s E-condition from the viewpoint of numerics. (English summary)(see 2003j:65004)Difference approximation for scalar conservation law. Consistency with entropycondition from the viewpoint of Oleınik’s E-condition. (English summary) (see2003f:65006)

Alouges, Francois (with De Vuyst, Florian; Le Coq, Gerard; Lorin, Emmanuel) Unprocede de reduction de la diffusion numerique des schemas a difference de flux d’ordreun pour les systemes hyperboliques non lineaires. (English and French summaries) [Aprocess of reduction of the numerical diffusion of usual first-order flux difference schemesfor nonlinear hyperbolic systems] 2003j:65074

Alpert, Bradley (with Greengard, Leslie F.; Hagstrom, Thomas) Nonreflecting boundaryconditions for the time-dependent wave equation. (English summary) 2003e:65140

Al-Zanaidi,M. A. (with Chawla, M. M.) A high-accuracy box scheme for characteristichyperbolic equations. (English summary)see also Chawla, M. M. et al., 2003b:65081; 2003c:65066;2003d:65073 and 2003f:65150

Amato, Umberto see Abrugia, Gerardo

Amosov, A. A. (with Vestfalsky, A. E.) Difference scheme for the system of equations ofone-dimensional dynamics of a nonlinear thermoviscoelastic body of the Voigt type.(English summary) 2003h:65102

Anastasiou, K. see Bokaris, J., 2003m:65135

Angulo, O. (with Lopez-Marcos, J. C.) Numerical integration of autonomous andnon-autonomous non-linear size-structured population models. (English summary)2003i:65067

Aptsiauri, M. M. Finite difference schemes for one system of nonlinear partial differentialequations. (English summary)

Arandiga, F. (with Chiavassa, G.; Donat, Rosa) Applications of Harten’s framework formultiresolution: from conservation laws to image compression. (English summary) (see2003d:65004)

Arora, Urvashi seeMohanty, R. K., 2003m:65146

Ayrian, E. A. (with Donets, E. E.; Pavlus, Miron; Streltsova, Oksana I.) Energyconservative difference schemes for Yang-Mills equations. (English summary) (see2003c:00022)(with Kostenko, Boris; Pribis, Jan) Numerical simulation of heat relaxation processeswithin thermal spike model. (English summary) (see 2003c:00022)

Bal, Guillaume (withMaday, Yvon) A “parareal” time discretization for non-linearPDE’s with application to the pricing of an American put. (English summary) (see2003k:65167)

Barth, Timothy J. see Abgrall, Remi, 2003m:65133 and (2003j:65004)Bartsch, P. (with Borzı, Alfio) A new reconstruction technique for the Euler equations ofgas dynamics with source terms. (English summary) (see 2003j:65004)

Barwolff, G. Application of higher order BDF discretization of the Boussinesq equationand the heat transport equation. (English summary) (see 2003b:65004)

Bates, Jason W. see Rider, William J., (2003j:65004)Batiashvili, Z. Comparison theorem for difference schemes for one system of nonlinearpartial differential equations.Comparison theorem of finite difference scheme for one system of nonlinear partialdifferential equations. (English summary)

Becache, Eliane (with Joly, Patrick) On the analysis of Berenger’s perfectly matched layersfor Maxwell’s equations. (English and French summaries) 2003f:65149

Beccantini, A. Colella-Glaz splitting scheme for thermally perfect gases. (English summary)(see 2003j:65004)

Belotserkovskiı, O. M. (with Konyukhov, A. V.) On the change of grid functions ofdependent variables in finite-difference equations. (Russian. Russian summary)2003c:65064

Ben-Artzi, Matania (with Falcovitz, Joseph) GRP schemes for time-dependent 2-D andquasi 1-D flows. (English summary) 2003h:65103

Berezovskii, Arkadii A. (withMaugin, Gerard A.) Application of wave-propagationalgorithm to two-dimensional thermoelastic wave propagation in inhomogeneous media.(English summary) (see 2003j:65004)

NUMERICAL ANALYSIS65M06 2003 1902

Bergamaschi, L. seeMazzia, A. et al., (2003j:65004)Berthon, Christophe (with Coquel, Frederic) Nonlinear projection methods for multi-entropies Navier-Stokes systems. (English summary) (see 2003f:65006)Schema nonlineaire pour l’approximation numerique d’un systeme hyperbolique nonconservatif. (English and French summaries) [Nonlinear scheme for approximating anonconservative hyperbolic system] 2003m:65134

Bjorck, Martin see Nordstrom, Jan, 2003e:65151Blom, Joke G. see Verwer, Jan G. et al., 2003d:65083Bocharov, O. B. (with Ovchinnikova, T. E.) Numerical experiments with hydrostaticapproximation for Navier-Stokes equations in the framework of the projection method.(Russian) 2003e:65141

Bojovic, Dejan Convergence of finite difference method for parabolic problem with variableoperator. (English summary) (see 2003e:65003)

Bokaris, J. (with Anastasiou, K.) Solution of the hyperbolic mild-slope equation using thefinite volume method. (English summary) 2003m:65135

Bonaventura,L. (with Gross, E. S.) Constancy preserving, conservativemethods for free-surface models. (English summary) (see 2003j:65004)

Borovykh, Natalia Stability in the numerical solution of the heat equation with nonlocalboundary conditions. (English summary) 2003g:65094

Borthwick, A. G. L. (with Fujihara, M.; Rogers, B. D.) Godunov solution of shallow waterequations on curvilinear and quadtree grids. (English summary) (see 2003j:65004)

Borzı, Alfio see Bartsch, P., (2003j:65004)Botchorishvili,Ramaz (with Perthame, Benoıt; Vasseur, Alexis) Equilibrium schemes forscalar conservation laws with stiff sources. (English summary) 2003h:65104

Boutayeb, A. (with Chetouani, A.) Global extrapolations of numerical methods for solvinga parabolic problem with non local boundary conditions. (English summary)

Bratsos, A. G. A linearized finite-differencemethod for the solution of the nonlinear cubicSchrodinger equation. (English summary) 2003i:65068

A linearized scheme for the numerical solution of the sine-Gordon equation. (Englishsummary) 2003c:65065

Brayanov, I. A. (with Koleva, M. N.) Stability of difference schemes with variable weightsfor a parabolic interface problem. (English summary) (see 2003b:00022)

Bristeau,M. O. (with Perthame, Benoıt) Kinetic schemes for solving Saint-Venantequations on unstructured grids. (see 2003f:65006)

Broquet, A. see Paillere, H. et al., (2003j:65004)Brufau, P. see Garcia-Navarro, P. et al., (2003j:65004)Burgel, A. (with Grahs, Thorsten; Sonar, Thomas) From continuous recovery todiscrete filtering in numerical approximations of conservation laws. (English summary)2003g:65095(with Sonar, Thomas) Discrete filtering of numerical solutions to hyperbolic conserva-tion laws. (English summary)

Caldwell, James (with Savovic, Svetislav) Numerical solution of Stefan problem byvariable space grid method and boundary immobilisation method. (English summary)2003i:65069

Caltagirone, J.-P. seeVincent, Stephane, (2003j:65004)Carpenter,Mark H. see Nordstrom, Jan, 2003b:65092Castellano,Luca A. see Vurro, M.

Chan, Chi-Hou see Xie, Zhongqiang et al., 2003i:65077Chanturiya,A. A. (withMeladze, Gamlet; Skhirtladze, N. M.) About convergence ofthe differential-difference schemes with non-linear regularizator for one-dimensionalhyperbolic equations of Saint-Vennant in the smooth solution domain. (Englishsummary) [About convergence of the differential-difference schemes with non-linearregularizator for one-dimensional hyperbolic equations of Saint-Venant in the smoothsolution domain]

Chawla, M. M. (with Al-Zanaidi, M. A.) An extended trapezoidal formula for thediffusion equation in two space dimensions. (English summary) 2003b:65081(with Al-Zanaidi, M. A.; Evans, David John1) An alternating direction generalizedtrapezoidal formula scheme for parabolic differential equations in two space dimensions.(English summary) 2003f:65150

(with Al-Zanaidi, M. A.; Evans, David John1) LOD generalized trapezoidal formulaschemes for parabolic differential equations in two space dimensions. (English summary)2003d:65073

(with Al-Zanaidi, M. A.) Linearized box schemes for first-order systems of hyperbolicconservation laws. (English summary) 2003c:65066

“Box” schemes for characteristic hyperbolic equations. (English summary) 2003e:65142

(with Al-Zanaidi, M. A.) A linearly implicit one-step time integration scheme fornonlinear hyperbolic equations in two space dimensions. (English summary)see also Al-Zanaidi,M. A.

Chen, Chi-fang see Sheu, Tony W. H. et al., 2003c:65078Chen, Chuan Dan The convergence criteria of difference approximation for a hyperbolicconservative equation and the measure of high resolution. (Chinese. English and Chinesesummaries) 2003a:65063

Chen, Gui Qiang Shock capturing and related numerical methods in computational fluiddynamics. (English summary) 2003d:65074

Chen, Jian Ye see Zeng, Xiao Yan et al.

Chen, Jing-Bo New schemes for the nonlinear Shrodinger equation. (English summary)[New schemes for the nonlinear Schrodinger equation] 2003j:65075

Chen, Zhen-zhong see Ren, Zong-xiu et al., 2003m:65149Chetouani, A. see Boutayeb, A.

Chetverushkin,B. N. see Abalakin, I. V. et al., 2003f:65148Chiavassa, G. (with Donat, Rosa) Numerical experiments with multilevel schemes forconservation laws. (English summary) (see 2003j:65004)see also Arandiga, F. et al., (2003d:65004)

Christov, C. I. (with Deng, Keng) Numerical investigation of quenching for a nonlineardiffusion equation with a singular Neumann boundary condition. (English summary)2003c:65067

Chuıko,Mikhail seeMazhukin, Vladimir I., 2003k:65091Chung, Sang Kwon see Kannan, Rangachary, 2003c:65074Ciegis, Raimondas (with Stikoniene, Olga) On uniform in time error estimates forinvestigation of nonlinear difference schemes. 2003d:65075

(with Stikoniene, Olga) On uniform in time error estimates for investigation of nonlineardifference schemes. 2003d:65076

(with Papastavrou, Areti; Zemitis, Aivars) Additive splitting methods for elliptic-parabolic problems. (English and Italian summaries) 2003b:65082

(with Pakeniene, Violeta) Numerical approximation of the weakly damped nonlinearSchrodinger equation. (English summary) 2003e:65143

Clerc, Sebastien see Paillere, H. et al., (2003j:65004)Cole, James B. High-accuracy Yee algorithm based on nonstandard finite differences: newdevelopments and verifications. (English summary) 2003i:65070

Coquel, Frederic see Berthon, Christophe, (2003f:65006)Corre, Christophe see Lerat, Alain et al., 2003f:65155; (2003f:65006) and Paillere, H. et al.,(2003j:65004)

Coskun, Erhan see Rasulov, Mahir A. et al., 2003m:65147

Criado, Francisco see Davitashvili, T. D. et al., 2003b:65083Csık, Arpad (with Deconinck, Herman; Poedts, Stefaan) Development of genuinelymultidimensional upwind residual distribution schemes for the system of eight waveideal magnetohydrodynamic equations on unstructured grids. (English summary) (see2003j:65004)

Cui, Ming Rong A modified upwind finite difference method for a three-dimensionalproblem for the transient behavior of a semiconductor with heat conduction. (Chinese.English and Chinese summaries)The modified upwind difference scheme for two phase miscible displacement with thediffusion coefficient being a matrix. (Chinese. English summary) 2003e:65144

Dai, Weizhong (with Nassar, Raja) Compact ADI method for solving parabolicdifferential equations. (English summary) 2003g:65096

Davitashvili, T. D. (with Elizarova, T. G.; Criado, Francisco; Meladze, Gamlet; Skhirtladze,N. M.) On the convergence of kinetically consistent difference schemes for one-dimensional equations of gas dynamics. (Russian. English and Russian summaries)2003b:65083

Debrabant, K. see Lucht,W., 2003h:65110Deconinck, Herman see Csık, Arpad et al., (2003j:65004)Dehghan, Mehdi Determination of a control parameter in the two-dimensional diffusionequation. (English summary) 2003d:65077A newADI technique for two-dimensional parabolic equation with an integral condition.(English summary) 2003e:65145Fully explicit finite-differencemethods for two-dimensional diffusion with an integralcondition. 2003a:65064Numerical solution of the three-dimensional parabolic equation with an integralcondition. (English summary) 2003b:65084Numerical solution of a non-local boundary value problem with Neumann’s boundaryconditions. (English summary)Saulyev’s techniques for solving a parabolic equation with a non linear boundaryspecification. (English summary)Determination of a control function in three-dimensional parabolic equations. (Englishsummary)

Dellacherie, S. About kinetic schemes built in axisymmetrical and spherical geometries.(English summary) (see 2003j:65004)

Deng, Keng see Christov, C. I., 2003c:65067Deng, Xiaogang High-order accurate dissipative weighted compact nonlinear schemes.(English summary) 2003m:65136

De Palma, P. (with Pascazio, G.; Napolitano, Michele) A hybrid fluctuation splittingscheme for two-dimensional compressible steady flows. (English summary) (see2003f:65006)

Despres, Bruno Lagrangian systems of conservation laws and approximate Riemannsolvers. (English summary) (see 2003j:65004)

De Vuyst, Florian see Alouges, Francois et al., 2003j:65074Ding, Xiao Hua see Jin, Cheng Ri et al.Donat, Rosa see Arandiga, F. et al., (2003d:65004);Fedkiw, Ronald P. et al., (2003f:65006)and Chiavassa, G., (2003j:65004)

Donets, E. E. see Ayrian, E. A. et al., (2003c:00022)Drikakis, Dimitris Uniformly high order methods for unsteady incompressible flows.(English summary) (see 2003j:65004)

Du, Ning Modified characteristic difference scheme and maximum norm estimate for akind of convection-diffusion equation. (Chinese. English summary) 2003k:65087

Dunne, R. K. (with O’Riordan, E.; Shishkin, Grigorii I.) Singularly perturbed parabolicproblems on non-rectangular domains. (English summary) (see 2003e:65003)

Dzenisenko, N. V. (withMatus, A. P.; Matus, Petr P.) Monotone economical schemes forquasilinear parabolic equations. (English and Lithuanian summaries) 2003m:65137

Dzhangveladze,T. A. Convergence of a difference scheme for a nonlinear integro-differential equation. 2003c:65068

Elbarbary, Elsayed M. E. M. Accelerating technique for implicit finite difference schemesfor two dimensional parabolic partial differential equations. (English summary)2003e:65146

Eliasson, Peter see Nordstrom, Jan et al.

Elizarova, T. G. see Davitashvili,T. D. et al., 2003b:65083El-Zoheiry, H. Numerical study of the improved Boussinesq equation. (English summary)

2003b:65085

Evans, David John1 see Chawla, M. M. et al., 2003d:65073;2003f:65150 andMohanty, R. K.et al.

Falcone,M. (with Ferretti, Roberto) Semi-Lagrangian schemes for Hamilton-Jacobiequations, discrete representation formulae and Godunov methods. (English summary)2003f:65151

Falcovitz, Joseph see Ben-Artzi, Matania, 2003h:65103Farago, Istvan (with Palencia de Lara, C.) Sharpening the estimate of the stability constantin the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heatequation. (English summary) 2003f:65152

Fedkiw, Ronald P. (withMerriman, Barry; Donat, Rosa; Osher, Stanley) The penultimatescheme for systems of conservation laws: finite difference ENO with Marquina’s fluxsplitting. (English summary) (see 2003f:65006)

Feng, Hui (with Shen, Long Jun) Long time asymptotic behavior of solutions of explicit


difference scheme for semilinear parabolic equations. (English summary) 2003g:65097

FernandezNieto, Enrique Domingo A flow-decomposition scheme applied to shallow-waterequations with source term. (Spanish. Spanish summary) (see 2003a:00034)

Ferretti, Roberto see Falcone,M., 2003f:65151Fezoui,Loula see Piperno, Serge et al., 2003e:65153Filbet, Francis (with Pareschi, Lorenzo) Numerical solution of the non homogeneousFokker-Planck-Landau equation. (English summary) (see 2003b:00028)

Fjelde, Kjell Kare (with Karlsen, Kenneth Hvistendahl) A hybrid primitive-conservativeupwind scheme for the drift flux model. (English summary) (see 2003j:65004)

Font, Jose A. (with Ibanez Cabanell, J. M.; Papadopoulos, Philippos) Numericalsimulations of relativisticwind accretion onto black holes using Godunov-type methods.(English summary) (see 2003j:65004)

Forestier, A. J. (with Gonzalez-Rodelas, P.) Schemas implicites pour le P-systeme. (Englishsummary) [Implicit schemes for the P-system] 2003b:65086

Forsberg, Karl see Nordstrom, Jan et al.

Forth, S. A. A second order accurate, space-time limited, BDF scheme for the linearadvection equation. (English summary) (see 2003j:65004)

Fujihara,M. see Borthwick, A. G. L. et al., (2003j:65004)Furihata,Daisuke (withMatsuo, Takayasu) A stable, convergent, conservative andlinear finite difference scheme for the Cahn-Hilliard equation. (English summary)2003m:65138see alsoMatsuo, Takayasu et al., 2003k:65090

Gaitonde,Datta V. (with Visbal, Miguel R.) Advances in the application of high-ordertechniques in simulation of multi-disciplinary phenomena. (English summary)

Gao, Jia Quan A practical difference scheme with intrinsic parallelism. (Chinese. Englishsummary) 2003g:65098

(with He, Guixia) An unconditionally stable parallel difference scheme for parabolicequations. (English summary) 2003h:65105

Garcia-Navarro, P. (with Hubbard, M. E.; Brufau, P.) Multidimensional upwind schemes:application to hydraulics. (English summary) (see 2003j:65004)see also Hubbard,M. E., (2003j:65004)

Gaspar, Francisco J. (with Lisbona, Francisco J.; Vabishchevich, Petr N.) Finite differenceschemes for poro-elastic problems. (English summary) 2003h:65106

Ge, Yong Bin (with Tian, Zhen Fu; Wu, Wen Quan) A high accuracymultigrid method forthe 2-D parabolic equation. (Chinese. English and Chinese summaries)

Gessner, T. see Kroner, Dietmar, (2003j:65004)Ghidaglia, Jean-Michel Flux schemes for solving nonlinear systems of conservation laws.(English summary) (see 2003f:65006)

Giga, Yoshikazu see Tsai, Yen-Hsi Richard et al., 2003h:65118Glimm, James (with Li, Xiao Lin; Liu, Yingjie) Conservative front tracking in one spacedimension. (English summary) 2003d:65078

Godlewski, E. (with Olazabal, M.; Raviart, Pierre-Arnaud) A Godunov-type methodfor studying the linearised stability of a flow. Application to the Richtmyer-Meshkovinstability. (English summary) (see 2003j:65004)

Goncharova,O. N. see Voevodin,A. F., 2003d:65084 and 2003f:65158Gonzalez-Rodelas,P. see Forestier, A. J., 2003b:65086Gordeziani, David (with Gordeziani, E.) On investigationof difference schemes for somepluriparabolic equation.(with Shapatava, A.) On regularized difference schema for one quasilinear parabolicequation. (English and Georgian summaries) 2003c:65069

Gordeziani, E. On numerical methods for the resolution of one non-classical problem withpluri-parabolic equation. (English summary) 2003g:65099

see also Gordeziani, DavidGosse, Laurent (with Toscani, Giuseppe) An asymptotic-preservingwell-balanced schemefor the hyperbolic heat equations. (English and French summaries) 2003b:65087Localization effects and measure source terms in numerical schemes for balance laws.(English summary) 2003e:65147

Gozalo, L. (with Abgrall, Remi) A new limiter that improves TVD-MUSCL schemes.(English summary) (see 2003j:65004)

Grahs, Thorsten (with Sonar, Thomas) Data analysis and entropy steered discrete filteringfor the numerical treatment of conservation laws. (English summary) 2003m:65139see also Burgel, A. et al., 2003g:65095

Greengard, Leslie F. see Alpert, Bradley et al., 2003e:65140Grishchenko,Oleksandr Yu. A class of numerical algorithms, conservative at stabilization,for modeling transport processes. (English summary) 2003b:65088A two-step algorithm with upstream differences for first-order conservative equations.(Ukrainian. English and Ukrainian summaries)

Gromyko, G. On one effectivedifference scheme for the convection-diffusion problem.(English and Lithuanian summaries) 2003c:65070

Gross, E. S. see Bonaventura,L., (2003j:65004)Gu, Sheng Shi (with Li, Zheng) Numerical simulation and qualitative analysis of a cellregenerationmodel. (Chinese. English and Chinese summaries)

Guinot, Vincent The time-line interpolation method for large-time-stepGodunov-typeschemes. (English summary) 2003d:65079

Gulin, A. V. (with Ionkin, N. I.; Morozova, V. A.) On the stability of a nonlocal two-dimensional difference problem. (Russian. Russian summary) 2003c:65071

Gumel, A. B. seeMickens, Ronald E.Guo, Feng (with Zeng, Wen Ping) A new high-accuracydifference scheme for solving theSchrodinger equation. (Chinese. English and Chinese summaries)

Gustafsson, Bertil The Godunov-Ryabenkii condition: the beginning of a new stabilitytheory. (English summary) (see 2003j:65004)

Hagstrom, Thomas see Alpert, Bradley et al., 2003e:65140He, Guixia see Gao, Jia Quan, 2003h:65105Hemker, Pieter W. (with Shishkin, Grigorii I.; Shishkina, L. P.) Acceleration by parallelcomputations of solving high-order time-accurate difference schemes for singularlyperturbed convection-diffusion problems. (English summary) (see 2003e:65003)(with Shishkin, Grigorii I.; Shishkina, L. P.) High-order time-accurate schemes forsingularly perturbed parabolic convection-diffusion problems with Robin boundaryconditions. (English summary) 2003c:65072

(with Shishkin, Grigorii I.; Shishkina, L. P.) High-order time-accuracy schemes

for parabolic singular perturbation problems with convection. (English summary)2003g:65100

Holden, Helge (with Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, NilsHenrik) Operator splitting for convection-dominated nonlinear partial differentialequations. (see 2003j:65004)

Hong, Seung Kyu see Kim, Sung-soo et al., 2003m:65141

Horvath, Robert On the monotonicity conservation in numerical solutions of the heatequation. (English summary) 2003m:65140

Hsieh, L. W. see Sheu, Tony W. H. et al., 2003c:65078Hu, Weia see Toro, E. F., (2003j:65004)Huang, Jin Yang (withWang, Jinghua; Warnecke, Gerald G.) Error bounds for thelarge time step Glimm scheme applied to scalar conservation laws. (English summary)2003f:65153

Huang, Ying see Lerat, Alain et al., (2003f:65006)Hubbard, M. E. (with Garcia-Navarro, P.) Balancing source terms and flux gradients infinite volume schemes. (see 2003j:65004)see also Garcia-Navarro, P. et al., (2003j:65004)

Hundsdorfer, Willem H. see Verwer, Jan G. et al., 2003d:65083Ibanez Cabanell, J. M. see Font, Jose A. et al., (2003j:65004)Ionkin, N. I. see Gulin, A. V. et al., 2003c:65071Islas, A. L. (with Karpeev, D. A.; Schober, C. M.) Geometric integrators for the nonlinearSchrodinger equation. (English summary) 2003e:65148

Ivanauskas, Feliksas Convergence and stability of difference schemes for the solution ofnonlinear evolution equations. (Russian) (see 2003b:00025)(with Radziunas, M.) The convergence and stability of explicit difference schemes fornonlinear Schrodinger equation. (see 2003c:00021)(with Radziunas, M.) The convergence and stability of explicit difference schemes fornonlinear Schrodinger equation. 2003c:65073

Izmirli, Ilhan M. A finite difference method approach to the solution of a nonlinearSchrodinger equation. (English summary) 2003j:65076

Janda, Michal (with Kozel, Karel; Liska, Richard) Composite schemes on triangularmeshes. (English summary) 2003b:65089

Jimenez, Salvador (with Llorente, Ignacio M.; Mancho, Ana Marıa; Perez-Garcıa, VıctorM.; Vazquez, Luis) A numerical scheme for the simulation of blow-up in the nonlinearSchrodinger equation. (English summary) 2003h:65107see also Vazquez,Luis et al., 2003b:65093

Jin, Cheng Ri An alternating group explicit iterativemethod for the RLW equation.(Chinese. English and Chinese summaries) 2003e:65149

(with Ding, Xiao Hua; Zhang, Shao Tai) A finite difference parallel iterative algorithmfor solving a hyperbolic equation. (Chinese. English and Chinese summaries)

Joly, Patrick see Becache, Eliane, 2003f:65149Jones, Don A. (withMargolin, Len G.; Poje, Andrew C.) Accuracy and nonoscillatoryproperties of enslaved difference schemes. (English summary) 2003h:65108

Jovanovic, Bosko S. (with Volkov, Lyuben G.) Operator’s approach to the problems withconcentrated factors. (English summary) (see 2003e:65003)(withMatus, Petr P.) Strong stability of operator-differential equations and operator-difference schemes in norms integral with respect to time. (Russian. Russian summary)2003d:65080(with Lemeshevskiı, S. V.; Matus, Petr P.) On the stability of differential-operatorequations and operator-difference schemes as t→∞. (English summary) 2003h:65109

Kacar, Ahmet see Subası, Murat et al.

Kaklamani, Dimitra I. see Vancea, Codruta et al., 2003m:65152

Kannan, Rangachary (with Chung, Sang Kwon) Finite difference approximate solutions forthe two-dimensional Burgers’ system. (English summary) 2003c:65074

Karaguler, Turhan see Rasulov, Mahir A., 2003m:65148

Karasozen, Bulent (with Tsybulin, VyacheslavG.) Conservative finite difference schemesfor cosymmetric systems. (English summary) (see 2003f:68002)

Karlsen, KennethHvistendahl (with Risebro, Nils Henrik; Towers, John D.) Upwinddifference approximations for degenerate parabolic convection-diffusion equations witha discontinuous coefficient. (English summary) 2003i:65071(with Risebro, Nils Henrik) Unconditionally stable methods for Hamilton-Jacobiequations. (English summary) 2003f:65154see also Fjelde, Kjell Kare, (2003j:65004)and Holden,Helge et al., (2003j:65004)

Karni, Smadar (with Kurganov, Alexander; Petrova, Guergana) A smoothness indicatorfor adaptive algorithms for hyperbolic systems. (English summary) 2003c:65075

Karpeev, D. A. see Islas, A. L. et al., 2003e:65148Kawai, T. see Yabe, Takashi et al.

Khaliq, Abdul Q. M. see Liao, Wenyuan et al., 2003b:65091Kiguradze, Z. The difference scheme for one system of nonlinear partial differentialequations.

Kim, Chongam see Kim, Sung-soo et al., 2003m:65141

Kim, Sung-soo (with Kim, Chongam; Rho, Oh-Hyun; Hong, Seung Kyu) Cures forthe shock instability: development of a shock-stable Roe scheme. (English summary)2003m:65141

Klomfass, A. (with Neuwald, P.; Thoma, Klaus) Application of a Godunov-type ALE-method to underwater shock waves. (English summary) (see 2003j:65004)

Koldoba, A. V. (with Ustyugova, G. V.) A Godunov-type difference scheme for equationsof relativistic magnetohydrodynamics. (Russian. Russian summary) 2003m:65142

Koleva, M. N. see Brayanov, I. A., (2003b:00022)Konyukhov, A. V. see Belotserkovskiı, O. M., 2003c:65064Kostenko, Boris see Ayrian, E. A. et al., (2003c:00022)Kouatchou, Jules Comparison of time and spatial collocation methods for the heatequation. (English summary)

Kovenya, V. M. Splitting algorithms in the finite volume method. (English summary)2003c:65076

Kozakevich,D. N. see Vazquez,Luis et al., 2003b:65093Kozel, Karel see Janda,Michal et al., 2003b:65089Kroner, Dietmar (with Gessner, T.) Godunov type methods on unstructured grids andlocal mesh refinement. (English summary) (see 2003j:65004)

Kumar, Dinesh2 seeMohanty, R. K. et al.


Kumbaro, A. see Paillere, H. et al., (2003j:65004)Kurganov, Alexander (with Noelle, Sebastian; Petrova, Guergana) Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations.(English summary) 2003a:65065

(with Tadmor, Eitan) Solution of two-dimensional Riemann problems for gas dynamicswithout Riemann problem solvers. (English summary) 2003g:65101

see also Karni, Smadar et al., 2003c:65075Laitinen, Erkki J. (with Pieska, J.; Lapin, A. V.) Mesh approximation and iterativesolution of the continuous casting problem. (English summary) 2003i:65072

Lapin, A. V. see Laitinen, Erkki J. et al., 2003i:65072Le Coq, Gerard see Alouges, Francois et al., 2003j:65074LeFloch, Philippe G. (withMercier, Jean-Marc; Rohde, Christian) Fully discrete, entropyconservative schemes of arbitrary order. (English summary) 2003k:65088

Lemeshevskiı, S. V. see Jovanovic, Bosko S. et al., 2003h:65109Lerat, Alain (with Corre, Christophe; Huang, Ying) Somewhere between the Lax-Wendroff and Roe schemes for calculatingmultidimensional compressible flows. (Englishsummary) (see 2003f:65006)(with Corre, Christophe) Residual-based compact schemes for multidimensionalhyperbolic systems of conservation laws. (English summary) 2003f:65155

Le Roux, Alain Yves (with Le Roux, Marie Noelle) Convergence d’un schema a profilsstationnaires pour les equations quasi lineaires du premier ordre avec termes sources.(English and French summaries) [Convergence of a stationary profile scheme for first-order quasilinear equations with source terms] 2003a:65066

Le Roux, Marie Noelle see Le Roux, Alain Yves, 2003a:65066LeVeque, Randall J. (with Pelanti, Marica) A class of approximate Riemann solvers andtheir relation to relaxation schemes. (English summary) 2003b:65090

Levy, Doron (with Puppo, Gabriella; Russo, Giovanni) A fourth-order central WENOscheme for multidimensional hyperbolic systems of conservation laws. (Englishsummary) 2003j:65077

Li, Fu Qing seeWang, Bao Guo et al.Li, Gong Chun (with Xie, Shu Sen) Stability and convergence of the Douglas scheme for athree-dimensional parabolic equation. (Chinese. English and Chinese summaries)see also Xie, Shu Sen et al.

Li, Hong Xia (withMao, De Kang) Second-order entropy dissipation scheme forthe scalar conservation law in one space dimension. (Chinese. English and Chinesesummaries) 2003i:65073

Li, Xiang Gui see Zhang, Lu Ming, 2003c:65082Li, Xiao Lin see Glimm, James et al., 2003d:65078Li, YongHai A generalized difference method (finite volume method) for parabolicequations. (Chinese. English summary) 2003m:65143

Li, Zheng see Gu, Sheng Shi

Liao, Wenyuan (with Zhu, Jian Ping2; Khaliq, Abdul Q. M.) An efficient high-orderalgorithm for solving systems of reaction-diffusion equations. (English summary)2003b:65091

Lie, Knut-Andreas (with Noelle, Sebastian) An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions. (Englishsummary) 2003m:65144

see also Holden,Helge et al., (2003j:65004)Linde, Timur A practical, general-purpose, two-state HLL Riemann solver for hyperbolicconservation laws. (English summary) 2003m:65145

Lisbona, Francisco J. seeGaspar, Francisco J. et al., 2003h:65106Liska, Richard see Janda,Michal et al., 2003b:65089Liu, Jiangguo seeWang,Hong9, 2003a:65072Liu, Shu Yan seeWang, Bao Guo et al.Liu, Yingjie see Glimm, James et al., 2003d:65078Liu, Yu-Ping see Yu, Heng, 2003b:65094Llorente, IgnacioM. see Jimenez, Salvador et al., 2003h:65107Lopez-Marcos, J. C. see Angulo,O., 2003i:65067Lorin, Emmanuel see Alouges, Francois et al., 2003j:65074Lu, Dian Chen see Yan, Min Juan et al.

Lu, Shu-juan see Zhang, Fa-yong,2003c:65081Lu, Shu Xia Crank-Nicolson difference scheme along characteristics for a parabolic-hyperbolic system of equations. (Chinese. English and Chinese summaries)

Lucht,W. (with Debrabant, K.) On quasi-linear PDAEs with convection: applications,indices, numerical solution. (English summary) 2003h:65110

Lukacova-Medvid′ova,M. (withMorton, K. W.; Warnecke,Gerald G.) Finite volumeevolution Galerkin methods for multidimensional hyperbolic systems. (Englishsummary) (see 2003j:65004)

Lyra, P. R. M. (withMorgan, Kenneth) A review and comparative study of upwindbiased schemes for compressible flow computation. III. Multidimensional extension onunstructured grids. (English summary) 2003i:65074

Ma, Ming Shu A new high accuracy explicit difference scheme with branching stablefor solving a parabolic equation on one dimension. (Chinese. English summary)2003e:65150

Mackenzie, John A. (with Robertson, Mairi) A moving mesh method for the solution ofthe one-dimensional phase-field equations. (English summary) 2003h:65111

Maday, Yvon see Bal, Guillaume, (2003k:65167)Mancho,Ana Marıa see Jimenez, Salvador et al., 2003h:65107Manson, J. R. see Neelz, S. et al., (2003j:65004)Mao, De Kang see Li, Hong Xia, 2003i:65073Margolin, Len G. see Jones, Don A. et al., 2003h:65108Marquina,Antonio seeMartınez, Vicente, 2003k:65089Martınez,Vicente (withMarquina, Antonio) Computation of travelling wave solutions ofscalar conservation laws with a stiff source term. (English summary) 2003k:65089

Matsuo, Takayasu (with Sugihara, Masaaki; Furihata, Daisuke; Mori, Masatake)Spatially accurate dissipative or conservative finite difference schemes derived by thediscrete variational method. (English summary) 2003k:65090see also Furihata,Daisuke, 2003m:65138

Mattsson, Ken Boundary procedures for summation-by-parts operators. (Englishsummary)

Matus, A. P. see Dzenisenko, N. V. et al., 2003m:65137

Matus, Petr P. (withMazhukin, Vladimir I.; Mozolevskiı, I. E.) Stability of finitedifference schemes on non-uniform spatial-time-grids. (English summary) 2003i:65075

(with Zyuzina, Elena) Three-level difference schemes on non-uniform in time grids.(English summary) 2003a:65067

The maximum principle and some of its applications. (English summary) 2003c:65077see also Jovanovic, Bosko S. et al., 2003d:65080;2003h:65109 and Dzenisenko, N. V. et al.,2003m:65137

Maugin, Gerard A. see Berezovskii, Arkadii A., (2003j:65004)Mazhukin, Vladimir I. (with Chuıko, Mikhail) Solution of the multi-interface Stefanproblem by the method of dynamic adaptation. (English summary) 2003k:65091

see alsoMatus, Petr P. et al., 2003i:65075Mazzia, A. (with Bergamaschi, L.; Putti, M.) A second order time-splitting techniquefor advection-dispersion equation on unstructured grids. (English summary) (see2003j:65004)

Meladze, Gamlet see Davitashvili, T. D. et al., 2003b:65083 and Chanturiya,A. A. et al.

Mercier, Jean-Marc see LeFloch, PhilippeG. et al., 2003k:65088Mer-Nkonga, Katherine see Abgrall, Remi et al., (2003f:65006)Merriman, Barry see Fedkiw, Ronald P. et al., (2003f:65006)Miao, Yong Miao see Zhao, Xing Yan et al., 2003e:65157Mickens, Ronald E. Nonstandard finite difference schemes for differential equations.(English summary) 2003h:65112(with Gumel, A. B.) Construction and analysis of a non-standard finite differencescheme for the Burgers-Fisher equation.

Millington, R. C. see Toro, E. F. et al., 2003m:65151

Mohanty, R. K. (with Arora, Urvashi) A new discretization method of order four forthe numerical solution of one-space dimensional second-order quasi-linear hyperbolicequation. (English summary) 2003m:65146(with Evans, David John1; Kumar, Dinesh2) High accuracy difference formulae for afourth order quasi-linear parabolic initial boundary value problem of first kind. (Englishsummary)

Montgomery, Patrick J. (withMoodie, T. Bryant) Generalization of a relaxation schemefor systems of forced nonlinear hyperbolic conservation laws with spatially dependentflux functions. (English summary)

Moodie, T. Bryant seeMontgomery, Patrick J.Morgan, Kenneth see Lyra, P. R. M., 2003i:65074Mori, Masatake seeMatsuo, Takayasu et al., 2003k:65090Morozova, V. A. The block Gauss elimination method for difference equations withnonlocal boundary conditions. (Russian. English and Russian summaries)see also Gulin, A. V. et al., 2003c:65071

Morton, K. W. Evolution Galerkin methods as finite difference schemes. (Englishsummary) (see 2003f:65006)see also Lukacova-Medvid′ova,M. et al., (2003j:65004)

Moskal′kov, M. N. see Zavısha, Valentina V.

Mozolevskiı, I. E. seeMatus, Petr P. et al., 2003i:65075Munz, Claus-Dieter Computational fluid dynamics and aeroacoustics for low Machnumber flow. 2003g:65102

Nakaki, Tatsuyuki (with Tomoeda, Kenji) A finite difference scheme for some nonlineardiffusion equations in an absorbing medium: support splitting phenomena. (Englishsummary) 2003k:65092

Nakamura, Takashi6 (with Tanaka, Ryotaro; Yabe, Takashi; Takizawa, Kenji) Exactlyconservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations withdirectional splitting technique. (English summary) 2003h:65113

see also Takizawa, Kenji et al., 2003h:65117Naldi, G. Multiscale hyperbolic equations: numerical approximation and applications.(English summary) (see 2003b:00028)

Napolitano,Michele see De Palma, P. et al., (2003f:65006)Nassar, Raja see Dai, Weizhong, 2003g:65096Neelz, S. (withWallis, S. G.; Manson, J. R.) On options for the numerical modelling of thediffusion term in river pollution simulations. (English summary) (see 2003j:65004)

Nejad, L. A. M. see Toro, E. F. et al., 2003m:65151Neuwald, P. see Klomfass, A. et al., (2003j:65004)Nikiforakis, N. seeWalker, Blandine M.-J. B. D., (2003j:65004)Nkonga, B. see Abgrall, Remi et al., (2003f:65006)Noelle, Sebastian see Kurganov, Alexander et al., 2003a:65065 and Lie, Knut-Andreas,

2003m:65144

Nordstrom, Jan (with Bjorck, Martin) Finite volume approximations and strict stability forhyperbolic problems. (English summary) 2003e:65151

(with Carpenter, Mark H.) High-order finite difference methods, multidimensionallinear problems, and curvilinear coordinates. (English summary) 2003b:65092

(with Forsberg, Karl; Adamsson, Carl; Eliasson, Peter) Finite volume methods,unstructured meshes and strict stability for hyperbolic problems. (English summary)

Ogata, Yoichi see Yabe, Takashi et al.Ohlberger, Mario (with Rohde, Christian) Adaptive finite volume approximationsfor weakly coupled convection dominated parabolic systems. (English summary)2003e:65152

Olazabal,M. see Godlewski, E. et al., (2003j:65004)O’Riordan, E. see Dunne, R. K. et al., (2003e:65003)Osher, Stanley see Tsai, Yen-Hsi Richard et al., 2003h:65118 and Fedkiw, Ronald P. et al.,(2003f:65006)

Ostapenko, Vladimir V. Symmetric compact schemes with artificial viscosities of increasedorder of divergence. (Russian. Russian summary) 2003j:65078

Ovchinnikova, T. E. see Bocharov, O. B., 2003e:65141Paillere, H. (with Kumbaro, A.; Viozat, C.; Clerc, Sebastien; Broquet, A.; Corre,Christophe) A comparison of Roe, VFFC and AUSM+ schemes for two-phasewater/steam flows. (English summary) (see 2003j:65004)

Pakeniene, Violeta see Ciegis, Raimondas, 2003e:65143Palencia de Lara, C. see Farago, Istvan, 2003f:65152Pan, Zhu Shan A second-order accurate linearized difference scheme for the time-dependent Joule heating equation. (Chinese. English and Chinese summaries)


2003d:65081

Papadopoulos,Philippos see Font, Jose A. et al., (2003j:65004)Papastavrou,Areti see Ciegis, Raimondas et al., 2003b:65082Pareschi, Lorenzo see Filbet, Francis, (2003b:00028)Pascazio, G. see De Palma, P. et al., (2003f:65006)Pavlus, Miron see Ayrian, E. A. et al., (2003c:00022)Pelanti,Marica see LeVeque, Randall J., 2003b:65090Perez-Garcıa, Vıctor M. see Jimenez, Salvador et al., 2003h:65107Perthame, Benoıt see Botchorishvili, Ramaz et al., 2003h:65104 and Bristeau, M. O.,(2003f:65006)

Petrova, Guergana see Kurganov, Alexander et al., 2003a:65065 and Karni, Smadar et al.,2003c:65075

Pieska, J. see Laitinen, Erkki J. et al., 2003i:65072Piperno, Serge (with Remaki, Malika; Fezoui, Loula) A nondiffusive finite volumescheme for the three-dimensionalMaxwell’s equations on unstructured meshes. (Englishsummary) 2003e:65153

Pirozzi, Maria Antonietta High order finite difference schemes with application to wavepropagation problems. (English summary) 2003a:65068

Poedts, Stefaan see Csık, Arpad et al., (2003j:65004)Poje, Andrew C. see Jones, Don A. et al., 2003h:65108Powell, Kenneth G. Collocated upwind schemes for ideal MHD. (English summary) (see

2003f:65006)Pribis, Jan see Ayrian, E. A. et al., (2003c:00022)Puppo, Gabriella see Levy, Doron et al., 2003j:65077Putti, M. seeMazzia, A. et al., (2003j:65004)Qiang, Xiao Yi A difference scheme for a linear hyperbolic hybrid problem. (Chinese.English and Chinese summaries)

Radziunas,M. Convergence and stability of difference schemes for a system of nonlinearequations of Schrodinger type. (Russian) (see 2003b:00025)see also Ivanauskas, Feliksas, 2003c:65073 and (2003c:00021)

Ramos, J. I. The sine-Gordon equation in the finite line. (English summary) 2003a:65069Linearly implicit methods for the nonlinear Schrodinger equation in nonhomogeneousmedia. (English summary) 2003h:65114

Rasulov, Mahir A. (with Coskun, Erhan; Sinsoysal, B.) A finite differences method for atwo-dimensional nonlinear hyperbolic equation in a class of discontinuous functions.(English summary) 2003m:65147(with Karaguler, Turhan) Finite difference schemes for solving system equations of gasdynamic in a class of discontinuous functions. (English summary) 2003m:65148

Raviart,Pierre-Arnaud see Godlewski, E. et al., (2003j:65004)Razgulin,A. V. (with Roganovich, I. B.) Convergence of the projection difference schemefor the nonlinear parabolic equation with transformed spatial argument. (Englishsummary) 2003f:65156

Remaki, Malika see Piperno, Serge et al., 2003e:65153Ren, Zong-xiu (with Chen, Zhen-zhong; Wang, Xiao-feng) A family of high-orderaccuracy explicit difference schemes for solving 2-D parabolic partial differentialequation. (English and Chinese summaries) 2003m:65149

Rho, Oh-Hyun see Kim, Sung-soo et al., 2003m:65141

Rider, William J. (with Bates, JasonW.) A high-resolution Godunov method for modelinganomalous fluid behaviour. (English summary) (see 2003j:65004)

Risebro, Nils Henrik see Karlsen, KennethHvistendahl et al., 2003f:65154;2003i:65071 andHolden,Helge et al., (2003j:65004)

Robertson,Mairi seeMackenzie, John A., 2003h:65111Roganovich, I. B. see Razgulin,A. V., 2003f:65156Rogers, B. D. see Borthwick, A. G. L. et al., (2003j:65004)Rohde,Christian see Ohlberger, Mario, 2003e:65152 and LeFloch, Philippe G. et al.,

2003k:65088

Rui, Hong Xing An alternative direction iterativemethod with second-order upwindscheme for convection-diffusion equations. (English summary)

Russo, Giovanni Central schemes and systems of balance laws. 2003f:65157

Central schemes for balance laws. (English summary) (see 2003b:00028)see also Levy, Doron et al., 2003j:65077

Saito, Tsutomu (with Voinovich, P.; Timofeev, Eugene V.; Takayama, Kazuyoshi)Development and application of high-resolution adaptive numerical techniques in shockwave research center. (English summary) (see 2003j:65004)

Sakurai, Kouichi see Yabe, Takashi et al.

Samarskiı, A. A. (with Vabishchevich, Petr N.) Difference schemes for the transportequation. II. (Russian. Russian summary) 2003h:65115

Saurel, Richard Interfaces, detonation waves, cavitation and the multiphase Godunovmethod. (English summary) (see 2003j:65004)

Savovic, Svetislav see Caldwell, James, 2003i:65069Schober, C. M. see Islas, A. L. et al., 2003e:65148Segawa, A. see Yabe, Takashi et al.Shakenov,K. K. Dispersion of the estimation of the solution of a system of linearizedperturbed Navier-Stokes difference equations. (Russian. English summary) 2003h:65116

Shan, ShuangRong Absolutely stable difference schemes with parameters for solving afourth-order parabolic equation. (Chinese. English and Chinese summaries)Difference schemes of high accuracy for solving a parabolic equation of fourth order.(Chinese. English and Chinese summaries)

Shapatava,A. see Gordeziani, David, 2003c:65069Shen, Long Jun see Feng,Hui, 2003g:65097Shen,Wei Dong seeZhang, Bao Lin1, 2003g:65105Sheu, Tony W. H. (with Chen, Chi-fang; Hsieh, L. W.) Development of a sixth-ordertwo-dimensional convection-diffusion scheme via Cole-Hopf transformation. (Englishsummary) 2003c:65078

Shi, Jing2 (with Zhang, Yong-Tao; Shu, Chi-Wang) Resolution of high order WENOschemes for complicated flow structures. (English summary)

Shimoji, Sadao Analysis of a nonlinear hyperbolic equation by energy method. (Englishsummary)

Shirobokov, N. V. Splitting of difference schemes based on diagonally implicit methods.(Russian. English and Russian summaries) 2003j:65079

Shishkin, Grigorii I. A posteriori and a priori techniques of local grid refinement forparabolic problems with boundary and transition layers. (English summary) (see2003e:65003)see also Hemker, Pieter W. et al., 2003c:65072; 2003g:65100; (2003e:65003) and Dunne,

R. K. et al., (2003e:65003)Shishkina, L. P. see Hemker, Pieter W. et al., 2003c:65072;2003g:65100 and (2003e:65003)Shu, Chi-Wang see Shi, Jing2 et al.Shurina, E. P. (with Solonenko, O. P.; Voitovich, T. V.) Technologies of finite volume-finiteelement method for the solution of convection-diffusion problems on unstructured grids.(Russian summary) 2003g:65103

Sinsoysal, B. see Rasulov, Mahir A. et al., 2003m:65147Skhirtladze, N. M. (with Tkemaladze, M. D.) On one composite scheme for multidimen-sional conservation laws. (English summary)see also Davitashvili,T. D. et al., 2003b:65083 and Chanturiya,A. A. et al.

Skhirtladze, R. On conservation of L2 norm of the solution by the finite difference schemesfor one family of evolution equations. (English summary)

Slodicka,Marian see Van Keer, Roger, 2003j:65081Sobey, I. J. see Sousa, Ercılia, 2003d:65082Solonenko,O. P. see Shurina, E. P. et al., 2003g:65103Sonar, Thomas Methods on unstructured grids, WENO and ENP recovery techniques.

2003g:65104see also Burgel, A. et al., 2003g:65095 and Grahs, Thorsten, 2003m:65139

Sopta, Luka see Vukovic, Senka, 2003c:65079Soroka, A. A. On the convergence of a difference solution of the first boundary valueproblem for a viscous unstable fluid in which an exothermic chemical reaction occurs.(Ukrainian. Ukrainian summary) (see 2003e:00027)

Sousa, Ercılia (with Sobey, I. J.) On the influence of numerical boundary conditions.(English summary) 2003d:65082

Stikonas, Arturas Some estimates for a special linear difference parabolic equation.(English summary) (see 2003c:00021)Some estimates for a special linear difference parabolic equation. (English summary)2003a:65070

Stikoniene, Olga see Ciegis, Raimondas, 2003d:65075 and 2003d:65076Stiriba, Youssef A local piecewise parabolic method for Hamilton-Jacobi equations.(English summary)

Streltsova, Oksana I. see Ayrian, E. A. et al., (2003c:00022)Su, Mo Ming see Zhao, Xing Yan et al., 2003e:65157Subası, Murat On the finite-differences schemes for the numerical solution of twodimensional Schrodinger equation. (English summary) 2003i:65076(with Yıldız, Bunyamin; Kacar, Ahmet) A difference method for solving parabolicequations of order 2n. (English summary)

Sugihara,Masaaki seeMatsuo, Takayasu et al., 2003k:65090Sun, Che (with Zhao, Yun Kai) An alternating-direction difference-streamlinediffusionmethod for a convection-diffusion equation. (Chinese. English summary) 2003j:65080

Sun, Le Lin see Zeng, Xiao Yan et al.Sun, Zhi-Zhong A high-order difference scheme for a nonlocal boundary-value problem forthe heat equation. (English summary) 2003e:65154

Surla, Katarina (with Vukoslavchevich, V.) On stability of some difference schemes forparabolic diffusion equations. (English summary) 2003e:65155

Tadmor, Eitan High resolution methods for time dependent problems with piecewisesmooth solutions. (English summary) 2003m:65150

see also Kurganov, Alexander, 2003g:65101Takayama, Kazuyoshi see Saito, Tsutomu et al., (2003j:65004)Takizawa, Kenji (with Yabe, Takashi; Nakamura, Takashi6) Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation. (English summary) 2003h:65117

see also Nakamura, Takashi6 et al., 2003h:65113 and Yabe, Takashi et al.

Tanaka, Ryotaro see Nakamura, Takashi6 et al., 2003h:65113Thoma, Klaus see Klomfass, A. et al., (2003j:65004)Tian, Li Xin see Yan, Min Juan et al.Tian, Zhen Fu see Ge, Yong Bin et al.

Timofeev, Eugene V. see Saito, Tsutomu et al., (2003j:65004)Tkemaladze, M. D. see Skhirtladze,N. M.

Tomoeda, Kenji see Nakaki, Tatsuyuki, 2003k:65092Toro, E. F. (with Hu, Weia) Centred unsplit finite volume schemes for multidimensionalhyperbolic conservation laws. (English summary) (see 2003j:65004)(withMillington, R. C.; Nejad, L. A. M.) Towards very high order Godunov schemes.(English summary) 2003m:65151

Toscani, Giuseppe see Gosse, Laurent, 2003b:65087Towers, John D. see Karlsen, KennethHvistendahl et al., 2003i:65071Tsai, Yen-Hsi Richard (with Giga, Yoshikazu; Osher, Stanley) A level set approach forcomputing discontinuous solutions of Hamilton-Jacobi equations. (English summary)2003h:65118

Tsybulin, VyacheslavG. see Karasozen, Bulent, (2003f:68002)Ustyugova, G. V. see Koldoba,A. V., 2003m:65142

Uzunoglu, Nikolaos K. see Vancea, Codruta et al., 2003m:65152

Vabishchevich, Petr N. see Gaspar, Francisco J. et al., 2003h:65106 and Samarskiı, A. A.,2003h:65115

Vancea, Codruta (with Vancea, Florin; Uzunoglu, Nikolaos K.; Kaklamani, Dimitra I.)On a hybrid FDTD-MoM technique: 2-D case. (English summary) 2003m:65152

Vancea, Florin see Vancea, Codruta et al., 2003m:65152

Van Keer, Roger (with Slodicka, Marian) Numerical techniques for the recovery of anunknown Dirichlet data function in semilinear parabolic problems with nonstandardboundary conditions. (English summary) 2003j:65081

Vasseur, Alexis Existence and properties of semidiscrete shock profiles for the isentropic gasdynamic system with ; = 3. (English summary) 2003a:65071see also Botchorishvili,Ramaz et al., 2003h:65104

Vazquez, Luis (with Kozakevich, D. N.; Jimenez, Salvador) Numerical solution ofthe nonlinear Schrodinger equation with Newton-typemethods. (English summary)2003b:65093

see also Jimenez, Salvador et al., 2003h:65107


Verwer, Jan G. (with Hundsdorfer, Willem H.; Blom, Joke G.) Numerical time integrationfor air pollution models. (English summary) 2003d:65083

Vestfalsky, A. E. see Amosov, A. A., 2003h:65102Vincent, Stephane (with Caltagirone, J.-P.) Solving incompressible two-phase flows with acoupled TVD interface tracking/localmesh refinement method. (English summary) (see2003j:65004)

Viozat,C. see Paillere, H. et al., (2003j:65004)Visbal,Miguel R. see Gaitonde, Datta V.Voevodin,A. F. (with Goncharova, O. N.) A method for splitting according to physicalprocesses for computing convection problems. (Russian. English and Russian summaries)2003f:65158

(with Goncharova, O. N.) A method for computing two-dimensional convectionproblems, based on splitting into physical processes. (Russian. English summary)2003d:65084

Voinovich,P. see Saito, Tsutomu et al., (2003j:65004)Voitovich,T. V. see Shurina, E. P. et al., 2003g:65103Volkov, Lyuben G. see Jovanovic, Bosko S., (2003e:65003)Vukoslavchevich,V. see Surla, Katarina, 2003e:65155Vukovic, Senka (with Sopta, Luka) ENO and WENO schemes with the exact conservationproperty for one-dimensional shallow water equations. (English summary) 2003c:65079

Vurro, M. (with Castellano, Luca A.) Numerical treatments of the interface discontinuityin solid-water mass transfer problems. (English summary)

Walker, Blandine M.-J. B. D. (with Nikiforakis, N.) A large timestep Godunov-type modelof global atmospheric chemistry and transport. (English summary) (see 2003j:65004)

Wallis, S. G. see Neelz, S. et al., (2003j:65004)Wang, Bao Guo (with Liu, Shu Yan; Yan, Wei Ge; Li, Fu Qing) Higher-order-accuracystrongly compact schemes and the treatment of boundary conditions. (Chinese. Englishand Chinese summaries)

Wang,Hong9 (with Liu, Jiangguo) Development of CFL-free, explicit schemes formultidimensional advection-reactionequations. (English summary) 2003a:65072

(with Zhao, Wei Dong1) An upwind finite volume scheme and its maximum-principle-preserving ADI splitting for unsteady-state advection-diffusion equations. (Englishsummary) 2003k:65093

Wang, Jinghua see Huang, Jin Yang et al., 2003f:65153Wang, Tong Ke Crank-Nicolson difference scheme along characteristics for a one-dimensional convection-diffusion equation. (Chinese. English and Chinese summaries)2003e:65156

Wang,Wen Qia An alternating group explicit scheme for solving a diffusion equation andparallel computing. (Chinese. English and Chinese summaries)

Wang, Xiao-feng see Ren, Zong-xiu et al., 2003m:65149

Warnecke,Gerald G. see Huang, Jin Yang et al., 2003f:65153 and Lukacova-Medvid′ova,M.et al., (2003j:65004)

Winiecki, T. (with Adams, C. S.) A fast semi-implicit finite-difference method for theTDGL equations. (English summary) 2003c:65080

Wu, Wen Quan see Ge, Yong Bin et al.Xiang, Xin Min see Zhang, Wei-bin

Xie, Shu Sen (with Xue, Heng; Li, Gong Chun) Second-order fractional-steps differencescheme for two-dimensional equations of heat conduction with three-temperature.(Chinese. English and Chinese summaries)see also Li, Gong Chun

Xie, Zhongqiang (with Chan, Chi-Hou; Zhang, Bo1) An explicit fourth-order staggeredfinite-difference time-domain method for Maxwell’s equations. (English summary)2003i:65077

Xue, Heng see Xie, Shu Sen et al.

Yabe, Takashi (with Ogata, Yoichi; Takizawa, Kenji; Kawai, T.; Segawa, A.; Sakurai,Kouichi) The next generation CIP as a conservative semi-Lagrangian solver for solid,liquid and gas. (English summary)see also Nakamura, Takashi6 et al., 2003h:65113 and Takizawa, Kenji et al., 2003h:65117

Yan,Min Juan (with Lu, Dian Chen; Tian, Li Xin) Implicit solutions of a nonlinearparabolic equation and convergence of an outer iteration method. (Chinese. English andChinese summaries)

Yan,Wei Ge seeWang, Bao Guo et al.

Yang, Dan Ping seeZhang, Zheng Ru, 2003b:65095Yang,Qing3 see Zhang, Dong Yuan

Yıldız, Bunyamin see Subası, Murat et al.

You, Tong Shun The uniformly high-order accurate nonoscillatory characteristic differencemethod for convection-diffusion equations. (Chinese. English and Chinese summaries)2003h:65119

Yu,Heng (with Liu, Yu-Ping) A second-order accurate, component-wise TVD scheme fornonlinear, hyperbolic conservation laws. (English summary) 2003b:65094

Yu, Xin Iterative pressure Poisson equation method for solving the unsteady incompressibleNavier-Stokes equations. (Chinese. English summary) 2003a:65073

Yuan, Guang Wei (with Zuo, Fengli) Parallel difference schemes for heat conductionequations. (English summary)

Yuan, Yi Rang The upwind finite difference method for compressible two-phase displace-ment problem. (Chinese. English and Chinese summaries) 2003m:65153

The upwind finite difference fractional steps method for combinatorial system ofdynamics of fluids in porous media and its application. (English summary) 2003i:65078

Zavısha, Valentina V. (withMoskal′kov, M. N.) Research difference scheme for a problemof generation of fluctuations piezo-semi-conducting a crystal. (Ukrainian. English andUkrainian summaries)

Zemitis, Aivars see Ciegis, Raimondas et al., 2003b:65082Zeng,Wen Ping A steady leapfrog integration scheme for solving a two-dimensionalconvection-diffusion equation. (Chinese. English and Chinese summaries)A family of highly accurate and stable difference schemes with double parameters forsolving parabolic equations. (Chinese. English and Chinese summaries)A family of absolutely stable difference scheme with two parameters for a class ofevolution equations. (Chinese. English and Chinese summaries) 2003i:65079see also Guo, Feng

Zeng, Xiao Yan (with Chen, Jian Ye; Sun, Le Lin) A new difference scheme for a

convection-diffusion equation. (Chinese. English and Chinese summaries)Zhang, Bao Lin1 (with Shen, Wei Dong) Notes on a finite difference domain-decomposition algorithm for the solution of a heat equation. (Chinese. English summary)2003g:65105

Zhang, Bo1 see Xie, Zhongqiang et al., 2003i:65077Zhang, Dong Yuan (with Yang, Qing3) A finite difference method and analysis for one-dimensional nuclear waste disposal contamination. (Chinese. English and Chinesesummaries)

Zhang, Fa-yong (with Lu, Shu-juan) Long-time behavior of finite difference solutions of anonlinear Schrodinger equation with weakly damped. (English summary) 2003c:65081

Zhang, Lu Ming (with Li, Xiang Gui) A conservative finite difference scheme for a classof nonlinear Schrodinger equation with wave operator. (Chinese. English and Chinesesummaries) 2003c:65082

Zhang, Shao Tai see Jin, Cheng Ri et al.Zhang, Wei-bin (with Xiang, Xin Min) The long-time behavior of a finite differencesolution to nonlinear Schrodinger-Boussinesq equations with weak damping. (Englishand Chinese summaries)

Zhang, Yong-Tao see Shi, Jing2 et al.Zhang, Zheng Ru (with Yang, Dan Ping) Crank-Nicolson finite difference streamline-diffusion method for convection-diffusion problem. (Chinese. English summary)2003b:65095

Zhang, Zhi Yue An alternating segment explicit-implicitmethod for a variable-coefficientconvection-diffusion equation. (Chinese. English and Chinese summaries)

Zhao, Wei Dong1 seeWang, Hong9, 2003k:65093Zhao, Xing Yan (with Su, Mo Ming; Miao, Yong Miao) Numerical investigation of ahigher-order-accurate implicit scheme based on pressure. (Chinese. English summary)2003e:65157

Zhao, Yun Kai see Sun, Che, 2003j:65080Zhokhova, A. V. see Abalakin, I. V. et al., 2003f:65148Zhu, Jian Ping2 see Liao, Wenyuan et al., 2003b:65091Zuo, Fengli see Yuan, Guang Wei

Zyuzina, Elena seeMatus, Petr P., 2003a:65067

Items with secondary classifications in 65M06

Aarnes, Jørg (with Espedal, Magne S.) A new approach to upscaling for two-phase flow inheterogeneous porous media. (English summary) 2003d:76142

Aavatsmark, Ivar see Eigestad, G. T. et al.

Abbassi, H. (with Turki, S.; Ben Nasrallah, S.) Interpolation functions in control volumefinite element method. (English summary)

Abesadze, T. (with Rogava, Dzh. L.) On the stability and convergence of the variationaldifference scheme of the numerical realisation of the Cauchy-Dirichlet boundary valueproblem for the dynamic equation of the spherical shell.

Achdou, Yves (with Tchou, Nicoletta) Variational analysis for the Black and Scholesequation with stochastic volatility. (English summary) 2003g:91050

Afif, M. (with Amaziane, B.) Convergence of finite volume schemes for a degenerateconvection-diffusion equation arising in flow in porous media. (English summary)2003h:76096

(with Amaziane, B.) On convergence of finite volume schemes for one-dimensional two-phase flow in porous media. (English summary) 2003e:65158

Allahviranloo, Tofigh Difference methods for fuzzy partial differential equations. (Englishsummary) 2003j:65099

Alvarez Dıaz, Lilliam (withMorante Blanco, Rodrigo; Ruiz de Zarate, Ailin) Theinterpolatory wavelets for the numerical solution of the Schrodinger equation. (Englishand Spanish summaries) 2003f:65160

Amaziane, B. see Afif, M., 2003e:65158and 2003h:76096

Antoniades,Charalambos (with Christofides, Panagiotis D.) Studies on nonlineardynamics and control of a tubular reactor with recycle. (English summary)

Asakura, Fumioki Wave-front trackingmethod and related topics. (Japanese)Bachiri, Hafid (with Vazquez, Luis) Finite difference method to solve Maxwell’s equationsfor soliton propagation. (English summary) 2003f:78032

Bae, Myung-whan seeMochimaru, YoshihiroBalaganskiı, M. Yu. (with Zakharov, Yu. N.; Khaneft, V. A.) The use of iterativemethodsto solve nonstationary problems of the motion of a stratified fluid. (Russian. Englishsummary) 2003k:76092

Ballestra, Luca (withMicheletti, Stefano; Sacco, Riccardo; Saleri, Fausto) On a viscous-hydrodynamic model for semiconductors: numerical simulation and stability analysis.(English summary) 2003m:82096

Bao, Weizhu (with Jin, Shi) Error estimates on the random projection methods forhyperbolic conservation laws with stiff reaction terms. (English summary) 2003k:65098

Bellomo, Stephen see Shitzer, Avraham et al.

Ben Nasrallah, S. see Abbassi, H. et al.

Benzoni-Gavage,Sylvie (with Huot, Pierre) Existence of semi-discrete shocks. (Englishsummary) 2003g:35148

Bergamaschi, L. seeMazzia, A. et al., 2003h:65135Berre, Inga (with Dahle, Helge K.; Karlsen, Kenneth Hvistendahl; Nordhaug, Hans F.) Astreamline front trackingmethod for two- and three-phase flow including capillary forces.2003e:76103

Biava, M. (withModugno, D.; Quartapelle, L.; Stoppelli, M.) Weak ?-@ formulation forunsteady flows in 2D multiply connected domains. (English summary) 2003b:76125

Bocharov, O. B. (with Telegin, I. G.) Numerical analysis of some methods for theconjugation of two models of the filtration of immissible fluids. (Russian. Englishsummary)

Bourlioux, Anne see Khouider, Boualem, 2003m:76099

Brakkee, E. (with Vuik, C.; Wesseling, P.) Domain decomposition for the incompressibleNavier-Stokes equations: solving subdomain problems accurately and inaccurately.(English summary) (see 2003f:65005)

van Brummelen, E. H. see Koren, B. et al., 2003g:76080Buet, C. (with Cordier, S.) Numerical analysis of the isotropic Fokker-Planck-Landauequation. (English summary) 2003d:82110

Burkle, David (with Ohlberger, Mario) Adaptive finite volume methods for displacement


problems in porous media. (English summary)Bystrytskyi, M. E. A method for constructing Laplace difference operators on nonorthogo-nal patterns. (Ukrainian. English and Ukrainian summaries) 2003a:65086

Canic, Suncica Blood flow through compliant vessels after endovascular repair: walldeformations induced by the discontinuous wall properties. (English summary)2003i:92011

Carey, Graham F. seeMacKinnon,Robert J., 2003k:76087Carlsson, Lars (with Nilsson, Stefan2) Parallel implementation of a line-implicit time-stepping algorithm. (English summary) (see 2003b:76005)

Carpenter,Mark H. (with Gottlieb, David; Shu, Chi-Wang) On the conservation andconvergence to weak solutions of global schemes. (English summary) 2003k:65094

Carrillo, Jose-Antonio (withMartınez-Gamba, Irene; Majorana, Armando; Shu,Chi-Wang) A WENO-solver for the transients of Boltzmann-Poisson system forsemiconductor devices: performance and comparisons with Monte Carlo methods.(English summary) 2003m:82087

Chacon Rebollo, Tomas (with Domınguez Delgado, Antonio; Fernandez Nieto, EnriqueDomingo) A family of stable numerical solvers for the shallow water equations withsource terms. (English summary) 2003m:76116

Chalabi, Abdallah (with Qiu, Youchun) Relaxation schemes for hyperbolic conservationlaws with stiff source terms: application to reacting Euler equations. (English summary)2003d:35175

(with Seghir, Driss) Convergence of relaxation schemes for initial boundary valueproblems for conservation laws. (English summary) 2003a:35124

Chan, Tony F. (with Zhou, Hao-Min) ENO-wavelet transforms for piecewise smoothfunctions. (English summary) 2003j:42032

Chen, Zhangxin see Li, Baoyan et al., 2003d:76153Chen-Charpentier, Benito M. (with Kojouharov, Hristo V.) Simulation of biobarrier-protozoa interaction in porous media. (English summary) (see 2003b:76003)

Chernykh, G. G. (with Zudin, A. N.) Dynamics of local density perturbation in a shearflow of a linearly stratified medium. (English summary)see also Zudin, A. N.

Chew, Weng Cho see Forgy, Eric Alan, 2003j:78060Chiu, Chichia (withWei, Hsiu-Chuan) A multigrid method for pattern formation problemsin biology. (English summary) 2003k:92003

Christofides, PanagiotisD. see Antoniades,Charalambos

Ciegis, Raimondas (with Starikovicius, Vadimas; Volkas, Andrius) Mathematicalmodelling of wood drying process. (Lithuanian. English summary) 2003c:80007

(with Stikonas, Arturas; Stikoniene, Olga; Suboc, O.) Stationary problems with nonlocalboundary conditions. (English and Lithuanian summaries) 2003d:34036

Colella, Phillip Volume-of-fluid methods for partial differential equations. (see2003j:65004)see alsoMiller, Greg, 2003j:76080

Cordier, S. see Buet, C., 2003d:82110Csık, Arpad (with Ricchiuto, Mario; Deconinck, Herman) A conservative formulationof the multidimensional upwind residual distribution schemes for general nonlinearconservation laws. (English summary) 2003c:76091

Dahle, Helge K. see Berre, Inga et al., 2003e:76103Dai, Weizhong (with Nassar, Raja) An unconditionally stable finite difference scheme forsolving a 3D heat transport equation in a sub-microscale thin film. (English summary)2003e:80017

Dalal, D. C. see Kalita, Jiten C. et al., 2003e:65160Dass, Anoop K. see Kalita, Jiten C. et al., 2003e:65160Dawson, C. N. seeMazzia, A. et al., 2003h:65135Deconinck,Herman see Csık, Arpad et al., 2003c:76091Dehghan,Mehdi Numerical techniques for a parabolic equation subject to an overspecifiedboundary condition. (English summary) 2003f:65165

Finding a control parameter in one-dimensional parabolic equations. (English summary)2003h:65125

Demirdzic, Ismet see Peric, Milovan et al., 2003e:76078Deshpande,S. M. Some recent developments in kinetic schemes based on least squares andentropy variables. (English summary) (see 2003f:65006)

Dimotakis, P. E. see Papalexandris,M. V. et al., 2003e:65166Dimov, Ivan T. (with Farago, Istvan; Havasi, Agnes; Zlatev, Zahari) L-commutativity ofthe operators in splitting methods for air pollution models. 2003f:86006

DomınguezDelgado, Antonio see Chacon Rebollo, Tomas et al., 2003m:76116

Dorodnitsyn, L. V. Nonreflecting boundary conditions for systems of equations of gasdynamics. (Russian. Russian summary) 2003i:76058

Drikakis, Dimitris Embedded turbulence model in numerical methods for hyperbolicconservation laws. (English summary) 2003e:76080

Dryja, Maksymilian (withMoszynski, Krzysztof) On Jeffreys model of heat conduction.(English summary) 2003b:35155

Du, Qiang (with Zhang, Tianyu) Numerical approximation of some linear stochasticpartial differential equations driven by special additive noises. (English summary)2003m:65013

Easton, A. see Kozlova, Irina et al.Edwards, Michael G. Unstructured, control-volume distributed, full-tensor finite-volumeschemes with flow based grids. (English summary)

Eigestad, G. T. (with Aavatsmark, Ivar; Espedal, Magne S.) Symmetry andM -matrixissues for the O-method on an unstructured grid. (English summary)

Eliasson, Bengt Outflow boundary conditions for the Fourier transformed two-dimensionalVlasov equation. (English summary)

Enchery, G. (withMasson, Roland; Wolf, Sylvie; Eymard, Robert) Mathematical andnumerical study of an industrial scheme for two-phase flows in porous media undergravity. (English summary) 2003m:76155

Espedal, Magne S. see Aarnes, Jørg, 2003d:76142 and Eigestad, G. T. et al.Ewing, Richard E. (withWang, Jun Ping1; Weekes, Suzanne L.; Yang, Yongjun) Anumerical simulation of multicomponent gas flow in porous media by projectionmethods. (English summary) 2003e:76106see alsoWang,Hong9 et al., 2003g:65122

Eymard, Robert (with Gallouet, Thierry; Herbin, Raphaele; Gutnic, M.; Hilhorst,

Danielle) Approximation by the finite volume method of an elliptic-parabolic equationarising in environmental studies. (English summary) 2003g:76078

see also Enchery, G. et al., 2003m:76155

Farago, Istvan see Dimov, Ivan T. et al., 2003f:86006Feng, Lian Hai A kind of finite volume element scheme for solving one-dimensionalparabolic partial differential equations. (Chinese. English and Chinese summaries)2003i:65087

Feng, Tao Mixed finite element method and finite difference streamline diffusion methodfor incompressible miscible displacement in porous media. (Chinese. English and Chinesesummaries) 2003m:65178

FernandezNieto, Enrique Domingo see Chacon Rebollo, Tomas et al., 2003m:76116Fey, Michael see Giese, Guido, 2003e:74060Filbet, Francis (with Pareschi, Lorenzo) A numerical method for the accurate solution ofthe Fokker-Planck-Landau equation in the nonhomogeneous case. (English summary)2003c:82085

Fok, Johnson C. M. (with Guo, Ben-Yu; Tang, Tao) Combined Hermite spectral-finitedifference method for the Fokker-Planck equation. (English summary) 2003j:65096

Forgy, Eric Alan (with Chew, Weng Cho) A time-domain method with isotropic dispersionand increased stability on an overlapped lattice. (English summary) 2003j:78060

Fotia, G. seeWilders, P., 2003i:86001Fukunaga,Masataka A difference method for initial value problems of fractional wavediffusion equations. (English summary) 2003c:26008

Furst, J. (with Kozel, Karel) Numerical solution of transonic flows through 2D and 3Dturbine cascades. (English summary) 2003i:76060

Fusai, Gianluca (with Sanfelici, Simona; Tagliani, Aldo) Practical problems in thenumerical solution of PDE’s in finance. (English summary) 2003j:91058

Gaitonde, Datta V. see Visbal, Miguel R.

Gallouet, Thierry (with Herard, Jean-Marc; Seguin, Nicolas) A hybrid scheme tocompute contact discontinuities in one-dimensional Euler systems. (English summary)2003m:76136see also Eymard, Robert et al., 2003g:76078

Gardner, Carl L. (with Gelb, Anne; Hernandez, Justin) A comparison of modernhyperbolic methods for semiconductor device simulation: NTK central scheme vs.CLAWPACK. (English summary)

Gaspar, Francisco J. (with Lisbona, Francisco J.; Vabishchevich, Petr N.) A finitedifference analysis of Biot’s consolidation model. (English summary) 2003m:74034

Gelb, Anne see Gardner, Carl L. et al.Giese, Guido (with Fey, Michael) A genuinely multidimensional high-resolution schemefor the elastic-plastic wave equation. (English summary) 2003e:74060

Giles, Michael B. seeMoinier, P., 2003b:76127Glimm, James (with Grove, John W.; Zhang, Yongmin) Interface tracking for axisymmet-ric flows. (English summary) 2003f:76084

Godinaud, G. (with Le Roux, Marie Noelle; Le Roux, Alain Yves) A Lagrange scheme fora mathematicalmodel of powder compression. (English summary) 2003j:74012

Gonzalez, Richard R. see Shitzer, Avraham et al.Gottlieb, David see Carpenter, Mark H. et al., 2003k:65094Goudon, Thierry (with Lohrengel, Stephanie) On a discrete model for quantum transportin semi-conductor devices. (English summary) 2003m:82098

Grove, JohnW. see Glimm, James et al., 2003f:76084Gu, Yonggeng see Shu, Jiwu et al., 2003k:91075Gulin, A. V. The stability boundary of certain two-layer and three-layer difference schemes.(English summary) (see 2003e:65003)

Guo, Ben-Yu see Fok, Johnson C. M. et al., 2003j:65096Gustafsson, Bertil (with Nilsson, Jonas) Fourth order methods for the Stokes and Navier-Stokes equations on staggered grids. 2003a:76084

Gutnic, M. see Eymard, Robert et al., 2003g:76078Han, Hou-de (with Huang, Zhongyi) Exact and approximating boundary conditions forthe parabolic problems on unbounded domains. (English summary) 2003g:35101

Haugse, V. (with Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, J. R.)Numerical solution of the polymer system by front tracking. (English summary)2003k:76100

Havasi, Agnes see Dimov, Ivan T. et al., 2003f:86006He, Shu Hong see Nie, Cai RenHemmingsson-Franden,Lina see Lotstedt, Per et al., 2003e:65172Herard, Jean-Marc see Gallouet, Thierry et al., 2003m:76136

Herbin, Raphaele see Eymard, Robert et al., 2003g:76078Hernandez, Justin see Gardner, Carl L. et al.

van der Heul, D. R. seeWesseling, P., (2003j:65004)Hilhorst, Danielle see Eymard, Robert et al., 2003g:76078Himeno, Ryutaro seeMatsunaga,Nami et al.Hirano, Hiroyuki (with Niki, Hiroshi; Okamoto, Naotaka) An application of a precondi-tioning iterativemethod to a three-dimensional numerical computation of fluid flow. (En-glish summary)

Hu, Qing Yun An extension of Lax theorem to the nonlinear case. (Chinese. English andChinese summaries) 2003b:35033

Huan, Guanren see Li, Baoyan et al., 2003d:76153Huang, Jacqueline see Pang, Jong-Shi,2003j:91060Huang, Lan Jie On higher-order time-accurate implicit difference methods for the unsteadyincompressible Navier-Stokes equations. (Chinese. English summary) 2003g:76081

Huang, Zhongyi see Han, Hou-de, 2003g:35101Hunter, John K. see Tesdall, Allen M., 2003i:76062Hunter, Peter J. see Smith, N. P. et al., 2003a:76112Huot, Pierre see Benzoni-Gavage,Sylvie, 2003g:35148Ismal, I. A. (with Zahran, E. H.; Shehata, M.) A formulation of Peaceman and RachfordADI method for the three-dimensional heat diffusion equation. (English summary)

Jenny, P. see Lee, SeongHee et al.

Jin, Chao Song seeWu, Zhi Gang2

Jin, Shi see Bao, Weizhu, 2003k:65098Johnston,Hans (with Liu, Jian-Guo1) Finite difference schemes for incompressible flowbased on local pressure boundary conditions. (English summary) 2003d:76114


Ju, Ning On the global stability of a temporal discretization scheme for the Navier-Stokesequations. (English summary) 2003g:76087

Kalis, Harijs Effective finite-differencemethods for the solutions of filtration problems inmultilayer domains. (English summary) 2003d:76110

Kalita, Jiten C. (with Dalal, D. C.; Dass, Anoop K.) A class of higher order compactschemes for the unsteady two-dimensional convection-diffusion equation with variableconvection coefficients. (English summary) 2003e:65160

Kantur, O. Yu. (with Tsybulin, VyacheslavG.) A spectral-differencemethod for computingconvectivemotions of a fluid in a porous medium, and cosymmetry preservation.(Russian. Russian summary) 2003e:76081

Karlsen, KennethHvistendahl see Berre, Inga et al., 2003e:76103 and Haugse, V. et al.,2003k:76100

Khaneft,V. A. see Balaganskiı,M. Yu. et al., 2003k:76092Khouider, Boualem (with Bourlioux, Anne) Computing the effectiveHamiltonianin the Majda-Souganidis model of turbulent premixed flames. (English summary)2003m:76099

Kim, Cheolwan Accurate multi-level schemes for advection. (English summary)2003m:76127

Klar, Axel (with Unterreiter, A.) Uniform stability of a finite difference scheme fortransport equations in diffusive regimes. (English summary) 2003j:65082

Kojouharov,Hristo V. see Chen-Charpentier, Benito M., (2003b:76003)Koren, B. (with Lewis, M. R.; van Brummelen, E. H.; van Leer, Bram) Riemann-problemand level-set approaches for homentropic two-fluid flow computations. (Englishsummary) 2003g:76080

Korzyuk, V. I. (with Lemeshevskiı, S. V.) Problems on conjugation of polytypic equations.(English and Lithuanian summaries) 2003e:35219

Kozel, Karel see Furst, J., 2003i:76060Kozlova, Irina (with Singh, Manmohan2; Easton, A.) Predator-preymodels with diffusionbased on Luckinbill’s experiment with Didinium and Paramecium. (English summary)

Kurganov, Alexander (with Levy, Doron) Central-upwind schemes for the Saint-Venantsystem. (English summary) 2003d:76115

Kuther, Marc A priori error estimates for approximate solutions to convex conservationlaws. (English summary) 2003k:65101

Lang, A. W. (with Sloan, D. M.) Hermite collocation solution of near-singular problemsusing numerical coordinate transformations based on adaptivity. (English summary)2003i:65084

Layton, Anita T. (with Layton, Harold E.) An efficient numerical method for distributed-loop models of the urine concentratingmechanism. (English summary) 2003k:92007

Layton,Harold E. see Layton, Anita T., 2003k:92007Lee, Seong Hee (with Jenny, P.; Tchelepi, H. A.) A finite-volume method with hexahedralmultiblock grids for modeling flow in porous media. (English summary)

van Leer, Bram see Koren, B. et al., 2003g:76080Lemeshevskiı, S. V. see Korzyuk, V. I., 2003e:35219Leonard, Anthony see Papalexandris,M. V. et al., 2003e:65166Le Roux, Alain Yves see Godinaud, G. et al., 2003j:74012Le Roux, Marie Noelle see Godinaud, G. et al., 2003j:74012LeVeque, Randall J. (with Rossmanith, J. A.) A wave propagation algorithm for thesolution of PDEs on the surface of a sphere. (English summary) 2003c:86007Finite volume methods for hyperbolic problems. (English summary) 2003h:65001

Finite-volume methods for non-linear elasticity in heterogeneous media. (Englishsummary) 2003h:74078

Levy, Doron see Kurganov, Alexander, 2003d:76115Levy, Mireille Parabolic equation methods for electromagnetic wave propagation.(English summary) 2003b:78001

Lewis, M. R. see Koren, B. et al., 2003g:76080Li, Baoyan (with Chen, Zhangxin; Huan, Guanren) Modeling horizontal wells usinghybrid grids in reservoir simulations. (English summary) 2003d:76153

Lie, Knut-Andreas (with Noelle, Sebastian) High resolution nonoscillatory centraldifference schemes for the 2D Euler equations via artificial compression. (Englishsummary) (see 2003b:00028)see also Haugse, V. et al., 2003k:76100

Linß, Torsten Uniform pointwise convergence of an upwind finite volume method on layer-adapted meshes. (English summary) 2003c:65084

Lisbona, Francisco J. seeGaspar, Francisco J. et al., 2003m:74034

Little, Thomas (with Pant, Vijay) A finite difference method for the valuation of varianceswaps. (English summary) 2003h:91066

Liu, Hao3 seeMatsunaga,Nami et al.

Liu, Jian-Guo1 seeWang, Cheng4, 2003c:76087 and Johnston,Hans, 2003d:76114Lohrengel, Stephanie see Goudon, Thierry, 2003m:82098Lo Schiavo,M. Population kinetic models for social dynamics: dependence on structuralparameters. (English summary)

Lotstedt, Per (with Soderberg, Stefan; Ramage, Alison; Hemmingsson-Franden, Lina)Implicit solution of hyperbolic equations with space-time adaptivity. (English summary)2003e:65172

Lowrie, R. B. (withMorel, Jim Emanuel) Methods for hyperbolic systems with stiffrelaxation. (English summary) 2003j:65092

Lyons, StephenL. seeWang, Hong9 et al., 2003g:65122MacKinnon,Robert J. (with Carey, Graham F.) Positivity-preserving, flux-limited finite-difference and finite-element methods for reactive transport. (English summary)2003k:76087

Maday, Yvon (with Turinici, Gabriel) A parareal in time procedure for the control ofpartial differential equations. (English and French summaries) 2003h:49054

Majorana, Armando see Carrillo, Jose-Antonio et al., 2003m:82087

Malafeı, D. A. seeMazhukin,Vladimir I. et al., 2003h:65145Martınez-Gamba, Irene see Carrillo, Jose-Antonio et al., 2003m:82087Masson, Roland see Enchery, G. et al., 2003m:76155

Matsunaga, Nami (with Liu, Hao3; Himeno, Ryutaro) Numerical analysis of two-dimensional incompressible viscous flow in orthogonal coordinates. (English summary)

Matus, A. P. (withMatus, Petr P.) The maximum principle and its application for theanalysis of difference schemes. (English and Lithuanian summaries) 2003c:65061


see alsoMatus, A. P., 2003c:65061;Mazhukin, Vladimir I. et al., 2003h:65145;Samarskiı,A. A. et al., 2003h:65147 and 2003k:65095

Mazaheri, Karim (with Roe, Philip L.) Bulk viscosity damping for accelerating conver-gence of low Mach number Euler solvers. (English summary)

Mazhukin, Vladimir I. (withMalafeı, D. A.; Matus, Petr P.; Samarskiı, A. A.) Differenceschemes on nonuniform grids for equations of mathematical physics with variablecoefficients. (Russian. Russian summary) 2003h:65145see also Samarskiı, A. A. et al., 2003h:65147

Mazzia, A. (with Bergamaschi, L.; Dawson, C. N.; Putti, M.) Godunov mixed methods ontriangular grids for advection-dispersion equations. (English summary) 2003h:65135

(with Putti, M.) Mixed-finite element and finite volume discretization for heavy brinesimulations in groundwater. (English summary) 2003h:76093

Medina, Miguel A., Jr. see Rao, Prasada, 2003k:76094Mei, Chiang C. (with Pihl, Jørgen H.) Localization of nonlinear dispersive waves in weaklyrandom media. (English summary) 2003a:35176

Men′shov, Igor (with Nakamura, Yoshiaki) Towards implicit Godunov method: exactlinearization of the numerical flux. (English summary) (see 2003j:65004)

Micheletti, Stefano see Ballestra, Luca et al., 2003m:82096Micu, Sorin Uniform boundary controllability of a semi-discrete 1-D wave equation.(English summary) 2003f:93014

Miller, Greg (with Colella, Phillip) A conservative three-dimensional Eulerian method forcoupled solid-fluid shock capturing. (English summary) 2003j:76080

Minkoff, Susan E. Spatial parallelism of a 3D finite difference velocity-stress elastic wavepropagation code. (English summary) 2003g:74085

Mochimaru, Yoshihiro (with Bae, Myung-whan) Numerical analysis of heat and fluid flow,using a family of Jacobian elliptic functions. (English summary)

Modugno, D. see Biava, M. et al., 2003b:76125Moinier, P. (with Giles, Michael B.) Stability analysis of preconditioned approximations ofthe Euler equations on unstructured meshes. (English summary) 2003b:76127

Morante Blanco, Rodrigo see Alvarez Dıaz, Lilliam et al., 2003f:65160Morel, Jim Emanuel see Lowrie, R. B., 2003j:65092Moszynski, Krzysztof see Dryja, Maksymilian, 2003b:35155Mozolevskiı, I. E. see Samarskiı, A. A. et al., 2003h:65147Muller, Bernhard (with Yee, H. C.) High order numerical simulation of sound generated bythe Kirchhoff vortex. (English summary) 2003i:76068

Muzaferija, Samir see Peric, Milovan et al., 2003e:76078Nakamura, Yoshiaki seeMen′shov, Igor, (2003j:65004)Nassar, Raja see Dai, Weizhong, 2003e:80017Natvig, J. R. see Haugse, V. et al., 2003k:76100Nechepurenko, Yu. M. An estimate for the norm of a matrix exponential in terms of thesolution of the Lyapunov equation and the bounds of the Hausdorff set of the matrix.(Russian. Russian summary) 2003b:15032

Ngo, A. Q. T. see Steinebach,Gerd, (2003j:65004)Nie, Cai Ren (with He, Shu Hong) Numerical solution for a generalized Black-Scholesmodel. (Chinese. English and Chinese summaries)

Nielsen, Bjørn Fredrik (with Skavhaug, O.; Tveito, Aslak) A penalty scheme for solvingAmerican option problems. (English summary) (see 2003b:00028)

Niki, Hiroshi see Hirano, Hiroyuki et al.Nilsson, Jonas see Gustafsson, Bertil, 2003a:76084Nilsson, Stefan2 see Carlsson, Lars, (2003b:76005)Noelle, Sebastian see Lie, Knut-Andreas, (2003b:00028)Nordhaug, Hans F. see Berre, Inga et al., 2003e:76103Ohlberger, Mario see Burkle, DavidOkamoto, Naotaka see Hirano, Hiroyuki et al.

Pandolf, Kent B. see Shitzer, Avraham et al.Pang, Jong-Shi (with Huang, Jacqueline) Pricing American options with transaction costsby complementarity methods. (English summary) 2003j:91060

Pant, Vijay see Little, Thomas, 2003h:91066Papalexandris,M. V. (with Leonard, Anthony; Dimotakis, P. E.) Unsplit algorithms formultidimensional systems of hyperbolic conservation laws with source terms. (Englishsummary) 2003e:65166

Pareschi, Lorenzo see Filbet, Francis, 2003c:82085Pedersen, Geir Energy conservation and physical optics for discrete long wave equations.(English summary) 2003m:35233

Peric, Milovan (with Demirdzic, Ismet; Muzaferija, Samir) Pressure-correctionmethodsfor all flow speeds. 2003e:76078

Pham Minh Hien A stable marching difference scheme for an ill-posed Cauchy problem forthe three-dimensional Laplace equation. (English summary) 2003j:35317

Pihl, Jørgen H. seeMei, Chiang C., 2003a:35176Pinchukov, V. I. On a numerical solution of equations of a viscous gas by a third-orderimplicit Runge-Kutta scheme. (Russian. Russian summary)

Pistella, F. (with Valente, Vanda) Some numerical results on the development ofsingularities in the dynamics of harmonic maps. (English summary) 2003k:58024

Pullan, Andrew J. see Smith, N. P. et al., 2003a:76112Purcz, Pavol Communication complexity of a parallel algorithm for the explicit differencemethod. (English summary) (see 2003c:00022)

Putti, M. seeMazzia, A. et al., 2003h:65135 and 2003h:76093

Qin, Guan seeWang, Hong9 et al., 2003g:65122Qin, Meng Zhao seeWang, Yu Shun, 2003m:65231Qiu, Youchun see Chalabi, Abdallah, 2003d:35175Quartapelle, L. see Biava, M. et al., 2003b:76125Ramage, Alison see Lotstedt, Per et al., 2003e:65172Rao, Prasada (withMedina, Miguel A., Jr.) Evaluation of V andW multiple grid cyclesfor modeling one and two-dimensional transient free surface flows. (English summary)2003k:76094

Rentrop, Peter (with Stoll, Sven-Olaf; Wever, Utz) Sensitivity calculations for 2D-optimization of turbomachine blading. (English summary) 2003e:76095

Ricchiuto,Mario see Csık, Arpad et al., 2003c:76091


Roe, Philip L. seeMazaheri, Karim

Rogava,Dzh. L. see Abesadze, T.Rossmanith, J. A. see LeVeque, Randall J., 2003c:86007Rubal Lopez, Jose Antonio (with Vazquez Cendon, M. Elena) Application of the finite-volume method and Godunov schemes to a two-layer model. (Spanish. Spanishsummary) 2003k:76090

Rui, Hong Xing Symmetric modified finite volume element methods for self-adjoint ellipticand parabolic problems. (English summary) 2003j:65101

Ruiz de Zarate, Ailin see Alvarez Dıaz, Lilliam et al., 2003f:65160Sacco, Riccardo see Ballestra, Luca et al., 2003m:82096

Sakai, Jun-ichi see Sokolov, Igor′ V. et al., 2003f:76078Saleri, Fausto see Ballestra, Luca et al., 2003m:82096Samarskiı, A. A. (withMatus, Petr P.; Vabishchevich, Petr N.) Difference schemes withoperator factors. 2003k:65095

(withMatus, Petr P.; Mazhukin, Vladimir I.; Mozolevskiı, I. E.) Monotone differenceschemes for equations with mixed derivatives. (English summary) 2003h:65147

see alsoMazhukin,Vladimir I. et al., 2003h:65145Sanfelici, Simona see Fusai, Gianluca et al., 2003j:91058Seghir, Driss see Chalabi, Abdallah,2003a:35124Seguin, Nicolas (with Vovelle, Julien) Analysis and approximation of a scalar conservationlaw with a flux function with discontinuous coefficients. (English summary) 2003k:35159see also Gallouet, Thierry et al., 2003m:76136

Seydel,Rudiger Tools for computational finance. (English summary) 2003h:91068

Shehata,M. see Ismal, I. A. et al.Shen, Long Jun see Yuan, Guang Wei et al., 2003b:82073Shen, Zhi Jun see Yuan, GuangWei et al., 2003b:82073Shishkin, Grigorii I. Discrete approximations of the Riemann problem for the viscousBurgers equation. (English summary) 2003e:76092Grid approximation of a singularly perturbed parabolic reaction-diffusion equation witha rapidly moving source. (Russian. Russian summary) 2003e:35158

Shitzer, Avraham (with Bellomo, Stephen; Stroschein, Leander A.; Gonzalez, Richard R.;Pandolf, Kent B.) Numerical analysis of an extremity in a cold environment includingcountercurrent arterio-venous heat exchange.

Shu, Chi-Wang see Carpenter, Mark H. et al., 2003k:65094 and Carrillo, Jose-Antonio et

al., 2003m:82087Shu, Jiwu (with Gu, Yonggeng; Zheng, Wei Min) A novel numerical approach ofcomputing American option. (English summary) 2003k:91075

Shyralyev,A. (with Yurtsever, A.) Difference schemes for hyperbolic-parabolic equations.(English summary) 2003k:34110

Singh,Manmohan2 see Kozlova, Irina et al.Sjogreen, B. see Yee, H. C., 2003d:76117Skavhaug,O. see Nielsen, Bjørn Fredrik et al., (2003b:00028)Sloan, D. M. see Lang, A. W., 2003i:65084Smith, N. P. (with Pullan, Andrew J.; Hunter, Peter J.) An anatomically based model oftransient coronary blood flow in the heart. (English summary) 2003a:76112

Sobey, I. J. see Sousa, Ercılia

Soderberg,Stefan see Lotstedt, Per et al., 2003e:65172Sokolov, Igor′ V. (with Timofeev, Eugene V.; Sakai, Jun-ichi; Takayama, Kazuyoshi)Artificial wind—a new framework to construct simple and efficient upwind shock-capturing schemes. (English summary) 2003f:76078

Sousa, Ercılia (with Sobey, I. J.) Numerical stability of unsteady stream-function vorticitycalculations. (English summary)

Starikovicius,Vadimas see Ciegis, Raimondas et al., 2003c:80007Steinebach,Gerd (with Ngo, A. Q. T.) A method of lines flux-difference splittingfinite volume approach for 1D and 2D river flow problems. (English summary) (see2003j:65004)

Stikonas,Arturas see Ciegis, Raimondas et al., 2003d:34036Stikoniene,Olga see Ciegis, Raimondas et al., 2003d:34036Stoll, Sven-Olaf see Rentrop, Peter et al., 2003e:76095Stoppelli,M. see Biava, M. et al., 2003b:76125Stroschein, Leander A. see Shitzer, Avraham et al.

Subası, Murat (with Yıldız, Bunyamin) Numerical solution and convergence speedof variational formulation for linear Schrodinger equation. (English summary)2003m:49059

Suboc, O. see Ciegis, Raimondas et al., 2003d:34036Sun, Xiaodi (withWard,Michael Jeffrey) Exponentially ill-conditioned convection-diffusion equations in multi-dimensional domains. (English summary) 2003d:35155

Sweby, Peter K. Godunov methods. (English summary) (see 2003j:65004)Tagliani,Aldo see Fusai, Gianluca et al., 2003j:91058Takayama, Kazuyoshi see Sokolov, Igor′ V. et al., 2003f:76078Tang, Tao see Fok, Johnson C. M. et al., 2003j:65096Tchelepi, H. A. see Lee, Seong Hee et al.Tchou, Nicoletta see Achdou,Yves, 2003g:91050Telegin, I. G. see Bocharov, O. B.Tesdall, Allen M. (with Hunter, John K.) Self-similar solutions for weak shock reflection.(English summary) 2003i:76062

Timofeev, Eugene V. see Sokolov, Igor′ V. et al., 2003f:76078Tsybulin, VyacheslavG. see Kantur, O. Yu., 2003e:76081Turinici, Gabriel seeMaday, Yvon, 2003h:49054Turki, S. see Abbassi, H. et al.

Tveito, Aslak see Nielsen, Bjørn Fredrik et al., (2003b:00028)Unterreiter, A. see Klar, Axel, 2003j:65082Vabishchevich, Petr N. see Samarskiı, A. A. et al., 2003k:65095and Gaspar, Francisco J. et

al., 2003m:74034

Valente, Vanda see Pistella, F., 2003k:58024Vazquez,Luis see Bachiri, Hafid, 2003f:78032Vazquez Cendon,M. Elena see Rubal Lopez, Jose Antonio, 2003k:76090Visbal,Miguel R. (with Gaitonde, Datta V.) On the use of higher-order finite-differenceschemes on curvilinear and deforming meshes. (English summary)

Volkas, Andrius see Ciegis, Raimondas et al., 2003c:80007

Vovelle, Julien see Seguin, Nicolas, 2003k:35159Vuik, C. see Brakkee, E. et al., (2003f:65005)Wang, Cheng4 (with Liu, Jian-Guo1) Analysis of finite difference schemes for unsteadyNavier-Stokes equations in vorticity formulation. (English summary) 2003c:76087

Wang, Hong9 (with Zhao, W.; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan) AnELLAM simulator for highly compressible flow in porous media with multiple wells.(English summary) 2003g:65122

Wang, Jun Ping1 see Ewing, Richard E. et al., 2003e:76106Wang, Tong Ke Direction-alternatingdifference scheme along characteristics for a two-dimensional convection-diffusion equation based on Boole sum approximation. (Chinese.English summary) 2003f:65163

Wang, Yu Shun (with Qin, Meng Zhao) Multisymplectic schemes for the nonlinear Klein-Gordon equation. (English summary) 2003m:65231

Ward, Michael Jeffrey see Sun, Xiaodi, 2003d:35155Weekes, SuzanneL. see Ewing, Richard E. et al., 2003e:76106Wei, Guo Wei2 Shock capturing by anisotropic diffusion oscillation reduction. (Englishsummary) 2003a:76088

Wei, Hsiu-Chuan see Chiu, Chichia, 2003k:92003Wesenberg, M. Efficient MHD Riemann solvers for simulations on unstructured triangulargrids. (English summary) 2003d:76167

Wesseling, P. (with van der Heul, D. R.) A unified method for compressible andincompressible flows with general equation of state. (English summary) (see 2003j:65004)see also Brakkee, E. et al., (2003f:65005)

Wever, Utz see Rentrop, Peter et al., 2003e:76095Wilders, P. (with Fotia, G.) A positive spatial advection scheme on unstructured meshesfor tracer transport. (English summary) 2003i:86001

Wolf, Sylvie see Enchery, G. et al., 2003m:76155Wu, Zhi Gang2 (with Jin, Chao Song) Option pricing model whose underlying stockpricing process is a mixed process and its numerical computation. (Chinese. English andChinese summaries)

Yang, Tong (with Zhao, Hui Jiang; Zhu, Changjiang) BV estimates of Lax-Friedrichs’scheme for a class of nonlinear hyperbolic conservation laws. (English summary)2003i:35184

Yang, Yongjun see Ewing, Richard E. et al., 2003e:76106Yee, H. C. (with Sjogreen, B.) Designing adaptive low-dissipative high order schemes forlong-time integrations. (English summary) 2003d:76117

see alsoMuller, Bernhard, 2003i:76068Yıldız, Bunyamin see Subası, Murat, 2003m:49059

You, Tong Shun The ICT-MMOCAA difference method for the convection-diffusionequation. (Chinese. English and Chinese summaries) 2003m:65164

Yuan, Guang Wei (with Shen, Zhi Jun; Shen, Long Jun; Zhou, Yu Lin1) Stability of P2methods for neutron transport equations. (English summary) 2003b:82073

Yuan, Yi Rang The upwind operator splitting finite difference method for compressibletwo-phase displacement problem and analysis. (English summary) 2003h:76101

The upwind finite difference fractional steps methods for two-phase compressible flow inporous media. (English summary)

Yurtsever, A. see Shyralyev,A., 2003k:34110Zahran, E. H. see Ismal, I. A. et al.

Zakharov, Yu. N. see Balaganskiı,M. Yu. et al., 2003k:76092Zeng, Wen Ping A new family of three-layer and bi-parametric difference schemeswith high accuracy for solving a convection equation. (Chinese. English and Chinesesummaries)

Zhang, Tianyu see Du, Qiang, 2003m:65013

Zhang, Yongmin see Glimm, James et al., 2003f:76084Zhao, Hui Jiang see Yang, Tong et al., 2003i:35184Zhao, W. seeWang, Hong9 et al., 2003g:65122Zhelezovskiı, S. E. Estimates for the rate of convergence of the projection-differencemethod for hyperbolic equations. (Russian) 2003g:65108

Zheng, Wei Min see Shu, Jiwu et al., 2003k:91075Zhou, Hao-Min see Chan, Tony F., 2003j:42032Zhou, Yu Lin1 see Yuan, GuangWei et al., 2003b:82073Zhu, Changjiang see Yang, Tong et al., 2003i:35184Zlatev, Zahari see Dimov, Ivan T. et al., 2003f:86006Zudin, A. N. (with Chernykh, G. G.) Numerical modeling of the dynamics of a localperturbation of a density field in a shear flow of a linearly stratified medium. (Russian.English summary)see also Chernykh, G. G.

65M12 Stability and convergence of numerical methods

Afif, M. (with Amaziane, B.) On convergence of finite volume schemes for one-dimensional two-phase flow in porous media. (English summary) 2003e:65158

Al-Zanaidi,M. A. see Chawla, M. M. et al.

Amaziane, B. see Afif, M., 2003e:65158Beyn, Wolf-Jurgen (with Garay, Barnabas M.) Estimates of variable stepsize Runge-Kuttamethods for sectorial evolution equations with nonsmooth data. (English summary)2003b:65096

Bonnaud, G. see Bouche, D. et al.

Bouche, D. (with Bonnaud, G.; Ramos, D.) Comparison of numerical schemes for solvingthe advection equation. (English summary)

Bressan, Alberto (with Jenssen, Helge Kristian) Convergence of the Godunov scheme forstraight line systems. 2003a:65074

Bujanda, Blanca (with Jorge, Juan Carlos) Study of the uniform convergence of fractionalstep schemes for parabolic problems in variational form. (Spanish. English summary)2003c:65083

Carpenter, Mark H. (with Gottlieb, David; Shu, Chi-Wang) On the conservation andconvergence to weak solutions of global schemes. (English summary) 2003k:65094

Chawla, M. M. (with Al-Zanaidi, M. A.; Evans, David John1) Generalized trapezoidalformulas for the symmetric heat equation in polar coordinates. II. The case of pointsources. (English summary)


Dalal, D. C. see Kalita, Jiten C. et al., 2003e:65160Dass, Anoop K. see Kalita, Jiten C. et al., 2003e:65160Dou, Hong An explicit finite-volume and finite-element method for nonlinear convection-diffusion problems. (Chinese. English and Chinese summaries)

Evans, David John1 seeChawla, M. M. et al.

Eymard, Robert (with Gallouet, Thierry; Herbin, Raphaele; Michel, Anthony N.)Convergence of a finite volume scheme for nonlinear degenerate parabolic equations.(English summary) 2003e:65159

Flyer, Natasha (with Fornberg, Bengt) Accurate numerical resolution of transients ininitial-boundary value problems for the heat equation. (English summary) 2003m:65154

Fornberg,Bengt see Flyer, Natasha, 2003m:65154

Forsyth, P. A. (with Vetzal, K. R.) Quadratic convergence for valuing American optionsusing a penalty method. 2003h:65120

Gallouet, Thierry see Eymard, Robert et al., 2003e:65159Garay, BarnabasM. see Beyn, Wolf-Jurgen, 2003b:65096Gottlieb, David see Carpenter, Mark H. et al., 2003k:65094

Hansbo, Anita Strong stability and non-smooth data error estimates for discretizations oflinear parabolic problems. (English summary) 2003d:65085

Herbin, Raphaele see Eymard, Robert et al., 2003e:65159Jackiewicz, Z. (withWelfert, B. D.) Stability of Gauss-Radau pseudospectral approxima-tions of the one-dimensional wave equation. (English summary) 2003m:65155

Jenssen,Helge Kristian see Bressan, Alberto, 2003a:65074Jorge, Juan Carlos see Bujanda, Blanca, 2003c:65083Kalita, Jiten C. (with Dalal, D. C.; Dass, Anoop K.) A class of higher order compactschemes for the unsteady two-dimensional convection-diffusion equation with variableconvection coefficients. (English summary) 2003e:65160

Klar, Axel (with Unterreiter, A.) Uniform stability of a finite difference scheme fortransport equations in diffusive regimes. (English summary) 2003j:65082

Linß, Torsten Uniform pointwise convergence of an upwind finite volume method on layer-adapted meshes. (English summary) 2003c:65084

Liu, Ru Xun seeWang, Ji Wen, 2003e:65162Liu, Xiao Hua1 On the estimation of stability and convergence of the full-discrete finiteelement method for a class of second order nonlinear hyperbolic equations. (Chinese.English summary) 2003d:65086

Maitre, Emmanuel Numerical analysis of nonlinear elliptic-parabolic equations. (Englishsummary) 2003g:65106

Matus, Petr P. see Samarskiı, A. A. et al., 2003k:65095Michel, AnthonyN. see Eymard, Robert et al., 2003e:65159Morosanu, Costica On the numerical stability of the cubic spline approximation to solutionof phase-field transition system. (English summary) 2003c:65085

Naldi, G. (with Pareschi, Lorenzo; Toscani, Giuseppe) Convergence of kinetic approxima-tion to nonlinear parabolic problems. (English summary) (see 2003j:65004)

Pareschi, Lorenzo see Naldi, G. et al., (2003j:65004)Ramos, D. see Bouche, D. et al.

Samarskiı, A. A. (withMatus, Petr P.; Vabishchevich, Petr N.) Difference schemes withoperator factors. 2003k:65095

Selin, A. V. A method for the approximate solution of a linear evolution equation in aHilbert space. (Russian. Russian summary) 2003m:65156

Serdyukova, S. I. On the numerical solution of the equation ut = ux − 6(x) sinu.(Russian) 2003e:65161

Shu, Chi-Wang see Carpenter, Mark H. et al., 2003k:65094Slepcev, Dejan Approximation schemes for propagation of fronts with nonlocal velocitiesand Neumann boundary conditions. (English summary) 2003k:65096

Tang, Tao (with Teng, Zhen-Huan; Wang, Jinghua) Convergence analysis of relaxationschemes for conservation laws with stiff source terms. (English summary) 2003k:65097

Teng, Zhen-Huan see Tang, Tao et al., 2003k:65097Toscani, Giuseppe see Naldi, G. et al., (2003j:65004)Unterreiter, A. see Klar, Axel, 2003j:65082Vabishchevich, Petr N. see Samarskiı, A. A. et al., 2003k:65095

Vetzal, K. R. see Forsyth, P. A., 2003h:65120Wang, Ji Wen (with Liu, Ru Xun) Stability of a semi-implicit finite volume-finite elementmethod. (Chinese. English and Chinese summaries) 2003e:65162

Wang, Jinghua see Tang, Tao et al., 2003k:65097Welfert, B. D. see Jackiewicz, Z., 2003m:65155


Abesadze,T. (with Rogava, Dzh. L.) On the stability and convergence of the variationaldifference scheme of the numerical realisation of the Cauchy-Dirichlet boundary valueproblem for the dynamic equation of the spherical shell.

Acosta, Gabriel (with Duran, R. G.; Rossi, Julio Daniel) An adaptive time step procedurefor a parabolic problem with blow-up. (English summary) 2003k:65102

(with Fernandez Bonder, Julian; Groisman, Pablo; Rossi, Julio Daniel) Simultaneous vs.non-simultaneous blow-up in numerical approximations of a parabolic system with non-linear boundary conditions. (English summary) 2003g:65109

Afif, M. (with Amaziane, B.) Convergence of finite volume schemes for a degenerateconvection-diffusion equation arising in flow in porous media. (English summary)2003h:76096

Albarreal, I. I. (with Calzada Canalejo, M. C.; Cruz Soto, J. L.; Fernandez Cara, Enrique;Galo, J. R.; Marın Beltran, Mercedes) Convergence analysis and error estimatesfor a parallel algorithm for solving the Navier-Stokes equations. (English summary)2003j:76079

Al-Zanaidi,M. A. see Chawla, M. M., 2003c:65066

Amaziane, B. see Afif, M., 2003h:76096Amosov, A. A. (with Vestfalsky, A. E.) Difference scheme for the system of equations ofone-dimensional dynamics of a nonlinear thermoviscoelastic body of the Voigt type.(English summary) 2003h:65102

Ancona, Fabio (withMarson, Andrea) Basic estimates for a front tracking algorithm forgeneral 2× 2 conservation laws. (English summary) 2003c:35110

Arora, Urvashi seeMohanty, R. K., 2003m:65146


Analysis of fully discrete approximations to parabolic problems with rough ordistribution-valued initial data. (English summary) 2003h:65131

Bao, Weizhu The random projection method for a model problem of combustion with stiffchemical reactions. (English summary) 2003g:80005

Barrett, John W.1 (with Nurnberg, Robert) Finite-element approximation of a nonlineardegenerate parabolic system describing bacterial pattern formation. (English summary)2003g:35104

Bause, Markus (with Knabner, Peter) Uniform error analysis for Lagrange-Galerkinapproximations of convection-dominatedproblems. (English summary) 2003d:65087

Becache, Eliane (with Joly, Patrick) On the analysis of Berenger’s perfectly matched layersfor Maxwell’s equations. (English and French summaries) 2003f:65149

Bensaada, Mohammed (with Esselaoui, Driss) Stability and convergence for modifiedstreamline upwind/Petrov-Galerkinmethod for transport equations. (English summary)(see 2003k:86001)

Besse, Christophe (with Bidegaray, Brigitte; Descombes, Stephane) Order estimates intime of splitting methods for the nonlinear Schrodinger equation. (English summary)2003k:65099

Bidegaray, Brigitte see Besse, Christophe et al., 2003k:65099Blasco, Jordi see Codina, Ramon, 2003k:65115Borovykh, Natalia Stability in the numerical solution of the heat equation with nonlocalboundary conditions. (English summary) 2003g:65094(with Spijker, M. N.) Bounding partial sums of Fourier series in weightedL2-norms,with applications to matrix analysis. (English summary) 2003h:42007

Bossy, Mireille (with Jourdain, Benjamin) Rate of convergence of a particle method forthe solution of a 1D viscous scalar conservation law in a bounded interval. (Englishsummary) 2003j:60137

Botchorishvili, Ramaz (with Perthame, Benoıt; Vasseur, Alexis) Equilibrium schemes forscalar conservation laws with stiff sources. (English summary) 2003h:65104

Bourhrara, L. (with Sanchez, R.) Stability of the theta-scheme for the time-dependent,multigroup, discrete ordinates approximation of the transport equation in slab geometryin the presence of delayed neutrons. (English summary) 2003b:82071


A linearized scheme for the numerical solution of the sine-Gordon equation. (Englishsummary) 2003c:65065

Brayanov, I. A. (with Koleva, M. N.) Stability of difference schemes with variable weightsfor a parabolic interface problem. (English summary) (see 2003b:00022)

Calzada Canalejo,M. C. see Albarreal, I. I. et al., 2003j:76079Carpenter, Mark H. see Nordstrom, Jan, 2003b:65092Chalabi, Abdallah (with Seghir, Driss) Convergence of relaxation schemes for initialboundary value problems for conservation laws. (English summary) 2003a:35124

Chan, Chi-Hou see Xie, Zhongqianget al., 2003i:65077Chawla, M. M. (with Al-Zanaidi, M. A.) Linearized box schemes for first-order systems ofhyperbolic conservation laws. (English summary) 2003c:65066

“Box” schemes for characteristic hyperbolic equations. (English summary) 2003e:65142

Chen, Guang Nan see Li, XiangGui et al., 2003j:65090Chiu, Chichia (withWei, Hsiu-Chuan) A multigrid method for pattern formation problemsin biology. (English summary) 2003k:92003

Cho, Chung-Ki A new approach for numerical identification of free boundary. (Englishsummary) 2003j:65089

Chrysafinos, K. (with Hou, LiSheng) Error estimates for semidiscrete finite elementapproximations of linear and semilinear parabolic equations under minimal regularityassumptions. (English summary) 2003e:65175

Chung, Sang Kwon see Kannan, Rangachary, 2003c:65074Ciegis, Raimondas (with Starikovicius, Vadimas; Volkas, Andrius) Mathematicalmodelling of wood drying process. (Lithuanian. English summary) 2003c:80007(with Pakeniene, Violeta) Numerical approximation of the weakly damped nonlinearSchrodinger equation. (English summary) 2003e:65143

Codina, Ramon (with Blasco, Jordi) Analysis of a stabilized finite element approximationof the transient convection-diffusion-reaction equation using orthogonal subscales.(English summary) 2003k:65115

Cole, James B. High-accuracy Yee algorithm based on nonstandard finite differences: newdevelopments and verifications. (English summary) 2003i:65070

Correia, Joaquim (with LeFloch, Philippe G.; Mai Duc Thanh) Hyperbolic systems ofconservation laws with Lipschitz continuous flux-functions: the Riemann problem.(English summary) 2003b:35131

Cozic, Marie-Isabelle see Le Roux, Marie Noelle et al., 2003d:65092Criado, Francisco see Davitashvili, T. D. et al., 2003b:65083Cruz Soto, J. L. see Albarreal, I. I. et al., 2003j:76079Cui, Ming Mixed finite element method–Galerkin alternating direction finite elementmethod for nonstationary conduction convection problems. (Chinese. English summary)2003k:65116

Cui, Ming Rong A modified upwind finite difference method for a three-dimensionalproblem for the transient behavior of a semiconductor with heat conduction. (Chinese.English and Chinese summaries)

Cui, Xia New alternating direction finite element scheme for nonlinear parabolic equation.(English summary) 2003k:65117

Dai, Weizhong (with Nassar, Raja) Compact ADI method for solving parabolicdifferential equations. (English summary) 2003g:65096

Davitashvili, T. D. (with Elizarova, T. G.; Criado, Francisco; Meladze, Gamlet; Skhirtladze,N. M.) On the convergence of kinetically consistent difference schemes for one-dimensional equations of gas dynamics. (Russian. English and Russian summaries)2003b:65083

Dawson, C. N. (with Proft, Jennifer) Coupling of continuous and discontinuous Galerkinmethods for transport problems. (English summary) 2003d:65090

Debrabant, K. see Lucht,W., 2003h:65110Dedner, A. (with Vollmoller, P.) An adaptive higher order method for solving the radiationtransport equation on unstructured grids. (English summary) 2003b:85001


Dehghan,Mehdi Determination of a control parameter in the two-dimensional diffusionequation. (English summary) 2003d:65077


Dellacherie, S. Numerical resolution of an ion-electron collision operator in axisymmetricalgeometry. (English summary) 2003m:82089

Descombes, Stephane see Besse, Christophe et al., 2003k:65099Despres, Bruno (with Lagoutiere, Frederic) Generalized Harten formalism and longitudi-nal variation diminishing schemes for linear advection on arbitrary grids. (English sum-mary) 2003e:76079

Duan, Huo Yuan (with Liang, Guo Ping) A new stabilized finite element method forsolving the Stokes and Navier-Stokes equations. I. The linear case. (English summary)2003a:65079(with Liang, Guo Ping) A new stabilized finite element method for solving the Stokesand Navier-Stokes equations. II. The nonlinear case. (English summary) 2003a:65080

Dudnikova, G. I. see Snytnikov, V. N. et al., 2003i:85002Duncan, Dugald B. (with Qiu, Yiqi) Overlapping grids for welltest analysis. (Englishsummary) 2003d:65088

Duran, R. G. see Acosta, Gabriel et al., 2003k:65102Dzhangveladze,T. A. Convergence of a difference scheme for a nonlinear integro-differential equation. 2003c:65068

Elizarova, T. G. see Davitashvili,T. D. et al., 2003b:65083Esselaoui, Driss see Bensaada,Mohammed, (2003k:86001)Evje, Steinar (with Fjelde, Kjell Kare) Relaxation schemes for the calculation of two-phaseflow in pipes. (English summary) 2003i:76070

Eymard, Robert (with Gallouet, Thierry; Herbin, Raphaele; Gutnic, M.; Hilhorst,Danielle) Approximation by the finite volume method of an elliptic-parabolic equationarising in environmental studies. (English summary) 2003g:76078

Fadimba, Koffi B. Error estimates for a regularization of a class of porous mediumequations. (English summary) 2003c:76120

Farago, Istvan (with Palencia de Lara, C.) Sharpening the estimate of the stability constantin the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heatequation. (English summary) 2003f:65152

Feng,Hui (with Shen, Long Jun) Long time asymptotic behavior of solutions of explicitdifference scheme for semilinear parabolic equations. (English summary) 2003g:65097

FernandezBonder, Julian see Acosta, Gabriel et al., 2003g:65109FernandezCara, Enrique see Albarreal, I. I. et al., 2003j:76079Fezoui,Loula see Piperno, Serge et al., 2003e:65153Fjelde, Kjell Kare see Evje, Steinar, 2003i:76070Furihata,Daisuke (withMatsuo, Takayasu) A stable, convergent, conservative andlinear finite difference scheme for the Cahn-Hilliard equation. (English summary)2003m:65138

Gallouet, Thierry see Eymard, Robert et al., 2003g:76078Galo, J. R. see Albarreal, I. I. et al., 2003j:76079Gander, Martin J. (with Zhao, Hong-Kai) Overlapping Schwarz waveform relaxation forthe heat equation in n dimensions. (English summary) 2003m:65170

Gaspar, Francisco J. (with Lisbona, Francisco J.; Vabishchevich, Petr N.) Finite differenceschemes for poro-elastic problems. (English summary) 2003h:65106(with Lisbona, Francisco J.; Vabishchevich,Petr N.) A finite difference analysis of Biot’sconsolidation model. (English summary) 2003m:74034

Gegechkori, Zurab (with Rogava, Dzh. L.; Tsiklauri, Mikheil) Differential scheme of highdegree precision decomposition of nonhomogeneous evolution problem. (English andGeorgian summaries) 2003m:65087

(with Rogava, Dzh. L.; Tsiklauri, Mikheil) High degree precision decomposition methodfor the evolution problem with an operator under a split form. (English summary)2003i:34135

Giladi, Eldar (with Keller, Herbert B.) Space-time domain decomposition for parabolicproblems. (English summary) 2003j:65088

Gladkiı, A. V. (with Skopets′kiı, V. V.; Kharrison, D. A.) On a control problem for aSchrodinger-type wave equation. (Russian. English, Russian and Ukrainian summaries)(see 2003b:00018)

Gordeziani, David (with Shapatava, A.) On regularized difference schema for onequasilinear parabolic equation. (English and Georgian summaries) 2003c:65069

Gordeziani, E. On numerical methods for the resolution of one non-classical problem withpluri-parabolic equation. (English summary) 2003g:65099

Gosse, Laurent (with Toscani, Giuseppe) An asymptotic-preservingwell-balanced schemefor the hyperbolic heat equations. (English and French summaries) 2003b:65087

Localization effects and measure source terms in numerical schemes for balance laws.(English summary) 2003e:65147

Grahs, Thorsten (withMeister, Andreas2; Sonar, Thomas) Image processing for numericalapproximations of conservation laws: nonlinear anisotropic artificial dissipation. (Englishsummary) 2003e:35186

Graziani, Frank seeMiller, David S. et al., 2003b:82053Grishchenko,Oleksandr Yu. A class of numerical algorithms, conservative at stabilization,for modeling transport processes. (English summary) 2003b:65088

Groisman, Pablo see Acosta, Gabriel et al., 2003g:65109Gu, Hai-ming (withWu, Xiaonan) Least-squares mixed finite element methods for theincompressible Navier-Stokes equations. (English summary) 2003c:65092

Gulin, A. V. The stability boundary of certain two-layer and three-layer difference schemes.(English summary) (see 2003e:65003)(with Ionkin, N. I.; Morozova, V. A.) On the stability of a nonlocal two-dimensionaldifference problem. (Russian. Russian summary) 2003c:65071

Gunter, D. O. (with Kaper, Hans G.; Leaf, Gary K.) Implicit integration of the time-dependent Ginzburg-Landau equations of superconductivity. (English summary)2003f:82103

Guo, Ben-Yu see Xu, Cheng-long,2003e:65184Gustafsson, Bertil The Godunov-Ryabenkii condition: the beginning of a new stabilitytheory. (English summary) (see 2003j:65004)

Gutnic, M. see Eymard, Robert et al., 2003g:76078Handlovicova,A. (withMikula, Karol) Analysis of a semidiscrete scheme for solving image

smoothing equation of mean curvature flow type. (English summary) 2003m:65180

Hemker, Pieter W. (with Shishkin, Grigorii I.; Shishkina, L. P.) High-order time-accurateschemes for singularly perturbed parabolic convection-diffusion problems with Robinboundary conditions. (English summary) 2003c:65072

Herbin, Raphaele see Eymard, Robert et al., 2003g:76078Herrmann, Norbert BEM with collocation for the heat equation with Neumann and mixedboundary values. (English summary) 2003g:65124

Hilhorst, Danielle see Eymard, Robert et al., 2003g:76078Holden, Helge (with Risebro, Nils Henrik) Front tracking for hyperbolic conservationlaws. (English summary) 2003e:35001

Horvath, Robert On the monotonicity conservation in numerical solutions of the heatequation. (English summary) 2003m:65140

Hou, LiSheng see Chrysafinos, K., 2003e:65175Hou, Thomas Yizhao (with Zhang, Ping Wen) Convergence of a boundary integralmethodfor 3-D water waves. (English summary) 2003k:76097

Hundsdorfer, Willem H. Accuracy and stability of splitting with stabilizing corrections.(English summary) 2003k:65103

Hussaini, M. Y. see Stanescu,Dan et al., 2003a:65082Iliescu, Traian (with John, Volker; Layton, William J.) Convergence of finite elementapproximations of large eddy motion. (English summary) 2003h:76078

Ionkin, N. I. see Gulin, A. V. et al., 2003c:65071Ivanauskas, Feliksas Convergence and stability of difference schemes for the solution ofnonlinear evolution equations. (Russian) (see 2003b:00025)(with Radziunas, M.) The convergence and stability of explicit difference schemes fornonlinear Schrodinger equation. (see 2003c:00021)(with Radziunas, M.) The convergence and stability of explicit difference schemes fornonlinear Schrodinger equation. 2003c:65073

John, Volker see Iliescu, Traian et al., 2003h:76078Joly, Patrick see Becache, Eliane, 2003f:65149Jourdain, Benjamin (with Lelievre, Tony; Le Bris, Claude) Numerical analysis ofmicro-macro simulations of polymeric fluid flows: a simple case. (English summary)2003f:76080

see also Bossy, Mireille, 2003j:60137Jovanovic, Bosko S. (withMatus, Petr P.) Strong stability of operator-differential equationsand operator-difference schemes in norms integral with respect to time. (Russian. Russiansummary) 2003d:65080

(with Lemeshevskiı, S. V.; Matus, Petr P.) On the stability of differential-operatorequations and operator-difference schemes as t→∞. (English summary) 2003h:65109

Ju, Ning On the global stability of a temporal discretization scheme for the Navier-Stokesequations. (English summary) 2003g:76087

Kannan, Rangachary (with Chung, Sang Kwon) Finite difference approximate solutions forthe two-dimensional Burgers’ system. (English summary) 2003c:65074

Kaper, Hans G. see Gunter, D. O. et al., 2003f:82103Keller, Herbert B. see Giladi, Eldar, 2003j:65088Kessler, D. (with Scheid, Jean-Francois) A priori error estimates of a finite-elementmethodfor an isothermal phase-field model related to the solidification process of a binary alloy.(English summary) 2003e:65177

Kharrison, D. A. see Gladkiı, A. V. et al., (2003b:00018)Knabner, Peter see Bause, Markus, 2003d:65087Kobel′kov, G. M. Symmetric approximations of Navier-Stokes equations. (Russian. Russiansummary) 2003h:76034

On parabolic approximation of the Stokes problem. (English summary) 2003h:35204Koleva, M. N. see Brayanov, I. A., (2003b:00022)Kopriva, D. A. see Stanescu, Dan et al., 2003a:65082Lagoutiere, Frederic see Despres, Bruno, 2003e:76079Layton, William J. see Iliescu, Traian et al., 2003h:76078Leaf, Gary K. see Gunter, D. O. et al., 2003f:82103Le Bris, Claude see Jourdain, Benjamin et al., 2003f:76080LeFloch, Philippe G. see Correia, Joaquim et al., 2003b:35131Lelievre, Tony see Jourdain, Benjamin et al., 2003f:76080Lemeshevskiı, S. V. see Jovanovic, Bosko S. et al., 2003h:65109Le Roux, Marie Noelle (with Cozic, Marie-Isabelle; Loubere, Raphael) Analysis ofcompletely discrete finite element method for a free boundary diffusion problem withabsorption. (English summary) 2003d:65092

Li, Gong Chun (with Xie, Shu Sen) Stability and convergence of the Douglas scheme for athree-dimensional parabolic equation. (Chinese. English and Chinese summaries)

Li, Xiang Gui (with Chen, Guang Nan; Yu, Xi Jun) Finite element methods for Hamilton-Jacobi equations. (Chinese. English and Chinese summaries) 2003j:65090

see also Zhang, Lu Ming, 2003c:65082Liang, Guo Ping see Duan, Huo Yuan, 2003a:65079; 2003a:65080 andMa, Chang Feng et

al., 2003m:65185Lisbona, Francisco J. seeGaspar, Francisco J. et al., 2003h:65106 and 2003m:74034

Liu, Chun (withWalkington, Noel J.) Mixed methods for the approximation of liquidcrystal flows. (English summary) 2003c:76011

Liu, Jian-Guo1 seeWang, Cheng4, 2003c:76087Liu, Shao Peng seeMa, Chang Feng et al., 2003m:65185Liu, Yun Xian Galerkin alternating-directionmethods and analyses for the three-dimensional semiconductor problem with heat-conduction. (Chinese. English summary)2003d:65093

Loubere, Raphael see Le Roux, Marie Noelle et al., 2003d:65092Lucht, W. (with Debrabant, K.) On quasi-linear PDAEs with convection: applications,indices, numerical solution. (English summary) 2003h:65110

Ma, Chang Feng (with Liang, Guo Ping; Liu, Shao Peng) Error analysis of a finiteelement projection method for a class of wave equations. (Chinese. English summary)2003m:65185

Ma, Ming Shu A new high accuracy explicit difference scheme with branching stablefor solving a parabolic equation on one dimension. (Chinese. English summary)2003e:65150

Mai Duc Thanh see Correia, Joaquim et al., 2003b:35131Marın Beltran, Mercedes see Albarreal, I. I. et al., 2003j:76079


Marson, Andrea see Ancona, Fabio, 2003c:35110Matsuo, Takayasu see Furihata, Daisuke, 2003m:65138Matus, Petr P. (withMazhukin, Vladimir I.; Mozolevskiı, I. E.) Stability of finitedifference schemes on non-uniform spatial-time-grids. (English summary) 2003i:65075(with Zyuzina, Elena) Three-level difference schemes on non-uniform in time grids.(English summary) 2003a:65067

The maximum principle and some of its applications. (English summary) 2003c:65077

see also Jovanovic, Bosko S. et al., 2003d:65080 and 2003h:65109Mazhukin,Vladimir I. seeMatus, Petr P. et al., 2003i:65075Mead, Jodi L. (with Renaut, Rosemary A.) Accuracy, resolution, and stability propertiesof a modified Chebyshev method. (English summary) 2003k:65127

Meister, Andreas2 see Grahs, Thorsten et al., 2003e:35186Meladze,Gamlet see Davitashvili, T. D. et al., 2003b:65083Mikula, Karol see Handlovicova,A., 2003m:65180Miller, David S. (with Rodrigue, Garry; Graziani, Frank) A convergence analysis of sourceiteration for the solution of coupled transport equations on a stochastic media. (Englishsummary) 2003b:82053

Mohanty,R. K. (with Arora, Urvashi) A new discretization method of order four forthe numerical solution of one-space dimensional second-order quasi-linear hyperbolicequation. (English summary) 2003m:65146

Morozova, V. A. see Gulin, A. V. et al., 2003c:65071Mozolevskiı, I. E. seeMatus, Petr P. et al., 2003i:65075Nakaki, Tatsuyuki (with Tomoeda, Kenji) A finite difference scheme for some nonlineardiffusion equations in an absorbing medium: support splitting phenomena. (Englishsummary) 2003k:65092

Nassar, Raja see Dai, Weizhong, 2003g:65096Nikitin, S. A. see Snytnikov, V. N. et al., 2003i:85002Noack, Antje Convergence of Rothe’s method for smoothed Stefan problems. 2003g:65120

Nordstrom, Jan (with Carpenter, Mark H.) High-order finite difference methods,multidimensional linear problems, and curvilinear coordinates. (English summary)2003b:65092

Nurnberg, Robert see Barrett, John W.1, 2003g:35104Ostermann, Alexander see Bakaev, Nikolai Yu., 2003j:65055Pakeniene, Violeta see Ciegis, Raimondas, 2003e:65143Palencia de Lara, C. see Farago, Istvan, 2003f:65152Pan, Zhu Shan A second-order accurate linearized difference scheme for the time-dependent Joule heating equation. (Chinese. English and Chinese summaries)2003d:65081

Parmon, V. N. see Snytnikov, V. N. et al., 2003i:85002Perthame, Benoıt see Botchorishvili,Ramaz et al., 2003h:65104Piperno, Serge (with Remaki, Malika; Fezoui, Loula) A nondiffusive finite volumescheme for the three-dimensionalMaxwell’s equations on unstructured meshes. (Englishsummary) 2003e:65153

Pop, Iuliu Sorin Error estimates for a time discretizationmethod for the Richards’ equation.(English summary) 2003h:65136

Proft, Jennifer see Dawson, C. N., 2003d:65090Qiu, Yiqi see Duncan, Dugald B., 2003d:65088Radziunas,M. Convergence and stability of difference schemes for a system of nonlinearequations of Schrodinger type. (Russian) (see 2003b:00025)see also Ivanauskas, Feliksas, 2003c:65073 and (2003c:00021)

Remaki, Malika see Piperno, Serge et al., 2003e:65153Renaut,Rosemary A. seeMead, Jodi L., 2003k:65127Richter, Gerard R. On the stability of a family of finite element methods for hyperbolicproblems. (English summary) 2003b:65103

Risebro, Nils Henrik see Holden, Helge, 2003e:35001Rodrigue,Garry seeMiller, David S. et al., 2003b:82053Rogava,Dzh. L. see Gegechkori, Zurab et al., 2003i:34135;2003m:65087and Abesadze, T.Romero, Ignacio On the stability and convergence of fully discrete solutions in linearelastodynamics. (English summary) 2003c:74031

Rossi, Julio Daniel see Acosta, Gabriel et al., 2003g:65109 and 2003k:65102

Rui, Hong Xing (with Tabata, Masahisa) A second order characteristic finite elementscheme for convection-diffusion problems. (English summary) 2003e:65167Multiplicative Schwarz methods for parabolic problems. (English summary)2003h:65130

Sanchez,R. see Bourhrara, L., 2003b:82071Scheid, Jean-Francois see Kessler, D., 2003e:65177Schweizer, Ben A stable time discretization of the Stefan problem with surface tension.(English summary) 2003j:80005

Seghir, Driss see Chalabi, Abdallah,2003a:35124Shapatava,A. see Gordeziani, David, 2003c:65069Shen, Long Jun see Yuan, Guang Wei et al., 2003b:82073 and Feng,Hui, 2003g:65097Shen, Zhi Jun see Yuan, GuangWei et al., 2003b:82073Shishkin, Grigorii I. see Hemker, Pieter W. et al., 2003c:65072Shishkina,L. P. see Hemker, Pieter W. et al., 2003c:65072Skhirtladze,N. M. see Davitashvili,T. D. et al., 2003b:65083Skopets′kiı, V. V. see Gladkiı, A. V. et al., (2003b:00018)Snytnikov,A. V. see Snytnikov, V. N. et al., 2003i:85002Snytnikov,V. N. (with Parmon, V. N.; Vshivkov, V. A.; Dudnikova, G. I.; Nikitin, S. A.;Snytnikov, A. V.) Numerical modeling of gravitational systems of many bodies with gas.(Russian. English summary) 2003i:85002

Sobey, I. J. see Sousa, ErcıliaSonar, Thomas see Grahs, Thorsten et al., 2003e:35186Sousa, Ercılia (with Sobey, I. J.) Numerical stability of unsteady stream-function vorticitycalculations. (English summary)

Spijker, M. N. see Borovykh, Natalia, 2003h:42007Stanescu,Dan (with Kopriva, D. A.; Hussaini, M. Y.) Dispersion analysis for discontinu-ous spectral element methods. (English summary) 2003a:65082

Starikovicius,Vadimas see Ciegis, Raimondas et al., 2003c:80007Subası, Murat (with Yıldız, Bunyamin) Numerical solution and convergence speedof variational formulation for linear Schrodinger equation. (English summary)

2003m:49059

Sun, Zhi-Zhong A high-order difference scheme for a nonlocal boundary-value problem forthe heat equation. (English summary) 2003e:65154

Surla, Katarina (with Vukoslavchevich, V.) On stability of some difference schemes forparabolic diffusion equations. (English summary) 2003e:65155

Tabata,Masahisa see Rui, Hong Xing, 2003e:65167Tomoeda, Kenji see Nakaki, Tatsuyuki, 2003k:65092Toscani, Giuseppe see Gosse, Laurent, 2003b:65087Tsiklauri, Mikheil see Gegechkori, Zurab et al., 2003i:34135 and 2003m:65087Vabishchevich, Petr N. seeGaspar, Francisco J. et al., 2003h:65106 and 2003m:74034

Vasseur, Alexis Existence and properties of semidiscrete shock profiles for the isentropic gasdynamic system with ; = 3. (English summary) 2003a:65071

see also Botchorishvili,Ramaz et al., 2003h:65104Veeser, Andreas Stability of flat interfaces during semidiscrete solidification. (Englishsummary) 2003i:65089

Vestfalsky, A. E. see Amosov, A. A., 2003h:65102Volkas, Andrius see Ciegis, Raimondas et al., 2003c:80007Vollmoller, P. see Dedner, A., 2003b:85001Vshivkov, V. A. see Snytnikov, V. N. et al., 2003i:85002Vukoslavchevich,V. see Surla, Katarina, 2003e:65155Walkington, Noel J. see Liu, Chun, 2003c:76011Wang, Cheng4 (with Liu, Jian-Guo1) Analysis of finite difference schemes for unsteadyNavier-Stokes equations in vorticity formulation. (English summary) 2003c:76087

Wang, Tong Ke Direction-alternatingdifference scheme along characteristics for a two-dimensional convection-diffusion equation based on Boole sum approximation. (Chinese.English summary) 2003f:65163

Wang, Wei-Cheng Nonlinear stability of centered rarefaction waves of the Jin-Xinrelaxationmodel for 2× 2 conservation laws. (English summary) 2003i:35183

Wang, Wen Qia An alternating group explicit scheme for solving a diffusion equation andparallel computing. (Chinese. English and Chinese summaries)

Wei, Hsiu-Chuan see Chiu, Chichia, 2003k:92003Wu, Xiaonan see Gu, Hai-ming, 2003c:65092Xie, Shu Sen see Li, Gong ChunXie, Zhongqiang (with Chan, Chi-Hou; Zhang, Bo1) An explicit fourth-order staggeredfinite-difference time-domain method for Maxwell’s equations. (English summary)2003i:65077

Xu, Cheng-long (with Guo, Ben-Yu) Laguerre pseudospectral method for nonlinear partialdifferential equations. (English summary) 2003e:65184

Yang, Tong (with Zhao, Hui Jiang; Zhu, Changjiang) BV estimates of Lax-Friedrichs’scheme for a class of nonlinear hyperbolic conservation laws. (English summary)2003i:35184

Yıldız, Bunyamin see Subası, Murat, 2003m:49059

Yu, Xi Jun see Li, Xiang Gui et al., 2003j:65090Yuan, Guang Wei (with Shen, Zhi Jun; Shen, Long Jun; Zhou, Yu Lin1) Stability of P2methods for neutron transport equations. (English summary) 2003b:82073

Yue, Xing Ye A local pointwise error estimate for the modified method of characteristics.(Chinese. English and Chinese summaries) 2003e:65168

Zeng, Wen Ping A family of absolutely stable difference scheme with two parameters for aclass of evolution equations. (Chinese. English and Chinese summaries) 2003i:65079

Zhang, Bo1 see Xie, Zhongqiang et al., 2003i:65077Zhang, Lu Ming (with Li, Xiang Gui) A conservative finite difference scheme for a classof nonlinear Schrodinger equation with wave operator. (Chinese. English and Chinesesummaries) 2003c:65082

Zhang, Ping Wen see Hou, Thomas Yizhao, 2003k:76097Zhang, Tie The numerical methods for American option pricing. (Chinese. English andChinese summaries) 2003h:65138

Zhao, Hong-Kai see Gander, Martin J., 2003m:65170Zhao, Hui Jiang see Yang, Tong et al., 2003i:35184Zhou, Yu Lin1 see Yuan, GuangWei et al., 2003b:82073Zhu, Changjiang see Yang, Tong et al., 2003i:35184Zyuzina, Elena seeMatus, Petr P., 2003a:65067

65M15 Error bounds

Babuska, Ivo M. see Strouboulis, T. et al., 2003m:65159Bao, Weizhu (with Jin, Shi) Error estimates on the random projection methods forhyperbolic conservation laws with stiff reaction terms. (English summary) 2003k:65098

Bause, Markus (with Knabner, Peter) Uniform error analysis for Lagrange-Galerkinapproximations of convection-dominatedproblems. (English summary) 2003d:65087

Berzins, Martin (with Durbeck, L. J. K.) Unstructured mesh solvers for hyperbolicPDEs with source terms: error estimates and mesh quality. (English summary) (see2003j:65004)

Besse, Christophe (with Bidegaray, Brigitte; Descombes, Stephane) Order estimates intime of splitting methods for the nonlinear Schrodinger equation. (English summary)2003k:65099

Bidegaray, Brigitte see Besse, Christophe et al., 2003k:65099Champier, Sylvie Error estimates for the approximate solution of a nonlinear hyperbolicequation with source term given by a finite volume scheme. (English summary) (see2003a:00031)

Chen, Zhangxin (with Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M.) Erroranalysis for characteristics-basedmethods for degenerate parabolic problems. (Englishsummary) 2003m:65157

Datta, Dibyendu Kumar see Strouboulis,T. et al., 2003m:65159

Descombes, Stephane see Besse, Christophe et al., 2003k:65099Dolejsı, Vıt (with Feistauer, Miloslav; Felcman, Jirı; Klikova, Alice) Error estimates forbarycentric finite volumes combined with nonconforming finite elements applied tononlinear convection-diffusion problems. (English summary) 2003k:65100

Durbeck, L. J. K. see Berzins, Martin, (2003j:65004)Ewing, Richard E. see Chen, Zhangxin et al., 2003m:65157

Feistauer, Miloslav see Dolejsı, Vıt et al., 2003k:65100


Felcman, Jirı see Dolejsı, Vıt et al., 2003k:65100de Frutos, Javier (with Novo, Julia) A posteriori error estimation with the p-version of thefinite element method for nonlinear parabolic differential equations. (English summary)2003i:65080

Galdava, R. see Rogava, Dzh. L., 2003b:65097Herzog,Matthias Fehlerabschatzungen fur approximative Verfahren angewandtauf Majdas Modell der dynamischen Verbrennung. (German) [Error estimates forapproximativemethods applied to Majda’s model of dynamic combustion] 2003h:65121

Hoffman, Johan Dynamic subgrid modelling for time dependent convection-diffusion-reaction equations with fractal solutions. (English summary) 2003m:65158

Jiang,Qiaoyuan see Chen, Zhangxin et al., 2003m:65157

Jin, Shi see Bao, Weizhu, 2003k:65098Klikova, Alice see Dolejsı, Vıt et al., 2003k:65100Knabner, Peter see Bause, Markus, 2003d:65087Kunisch, Karl (with Volkwein, Stefan) Galerkin proper orthogonal decompositionmethods for a general equation in fluid dynamics. (English summary) 2003g:65107

Kuther, Marc A priori error estimates for approximate solutions to convex conservationlaws. (English summary) 2003k:65101

Lyashko, A. D. see Zhelezovskiı, S. E., 2003a:65076Novo, Julia see de Frutos, Javier, 2003i:65080Rogava,Dzh. L. (with Galdava, R.) On the error of estimation of the Crank-Nicholsonsemi-discrete scheme for the abstract parabolic equation. [On the error of estimationof the Crank-Nicolson semi-discrete scheme for the abstract parabolic equation]2003b:65097

Schroll, Hans Joachim Error estimates for Godunov-type schemes in the presence of sourceterms. (English summary) (see 2003j:65004)

Spagnuolo,Anna M. see Chen, Zhangxin et al., 2003m:65157

Stefanelli,Ulisse Well-posedness and time discretization of a nonlinear Volterra integrodif-ferential equation. (English summary) 2003a:65075

Strouboulis, T. (with Babuska, Ivo M.; Datta, Dibyendu Kumar) Guaranteed a posteriorierror estimation for fully discrete solutions of parabolic problems. (English summary)2003m:65159

Volkwein, Stefan see Kunisch, Karl, 2003g:65107Zhelezovskiı, S. E. (with Lyashko, A. D.) Error estimates for the Galerkin method forquasilinear hyperbolic equations. (Russian. Russian summary) 2003a:65076Estimates for the rate of convergence of the projection-differencemethod for hyperbolicequations. (Russian) 2003g:65108


Adjerid, Slimane A posteriori finite element error estimation for second-order hyperbolicproblems. (English summary) 2003g:65113

Albarreal, I. I. (with Calzada Canalejo, M. C.; Cruz Soto, J. L.; Fernandez Cara, Enrique;Galo, J. R.; Marın Beltran, Mercedes) Convergence analysis and error estimatesfor a parallel algorithm for solving the Navier-Stokes equations. (English summary)2003j:76079

Asensio, Isabel see Ferragut, Luis, 2003h:65132Auweter-Kurtz, Monika see Iben, U. et al., (2003f:65007)Bakaev, Nikolai Yu. Analysis of fully discrete approximations to parabolic problems withrough or distribution-valued initial data. (English summary) 2003h:65131

Bause, Markus Scales of ε-uniform a priori estimates for nonstationary convection-dominated diffusion problems. (English and Italian summaries) 2003h:35014

Becache, Eliane (with Joly, Patrick; Tsogka, Chrysoula) A new family of mixed finiteelements for the linear elastodynamic problem. (English summary) 2003d:65089

Benammou, Samir (with Omrani, Khaled) A finite element method for the Sivashinskyequation. (English summary) 2003c:65089

Bergounioux,Maıtine (with Zidani, Housnaa) A fully discrete approximation forcontrol problems governed by parabolic variational inequalities. (English summary)2003c:49047

Beyn, Wolf-Jurgen (with Garay, Barnabas M.) Estimates of variable stepsize Runge-Kuttamethods for sectorial evolution equations with nonsmooth data. (English summary)2003b:65096


Calzada Canalejo,M. C. see Albarreal, I. I. et al., 2003j:76079Castro, Rigoberto G. Sanabria (withMalta, Sandra M. C.; Loula, Abimael F. D.; Landau,Luiz) Numerical analysis of space-time finite element formulations for miscibledisplacements. (English summary) 2003b:76116

Chen, Ying6 (with Lin, Jia Fu; Lin, Qun1) Superconvergence of discontinuous Galerkinmethod for nonstationary hyperbolic equation. (English summary) 2003c:65090

Chen, Zhen-zhong see Ren, Zong-xiu et al., 2003m:65149Cheng, Xiao Liang see Ye, Xing De, 2003h:65140Chrysafinos, K. (with Hou, LiSheng) Error estimates for semidiscrete finite elementapproximations of linear and semilinear parabolic equations under minimal regularityassumptions. (English summary) 2003e:65175

Ciegis, Raimondas (with Stikoniene, Olga) On uniform in time error estimates forinvestigation of nonlinear difference schemes. 2003d:65075(with Stikoniene, Olga) On uniform in time error estimates for investigation of nonlineardifference schemes. 2003d:65076

Cruz Soto, J. L. see Albarreal, I. I. et al., 2003j:76079Cui, Ming Rong The modified upwind difference scheme for two phase miscible dis-placement with the diffusion coefficient being a matrix. (Chinese. English summary)2003e:65144

Cui, Xia ADFE method with high accuracy for nonlinear parabolic integro-differentialsystem with nonlinear boundary conditions. (English summary) 2003k:65173

New alternating direction finite element scheme for nonlinear parabolic equation.(English summary) 2003k:65117

Dawson, C. N. (with Proft, Jennifer) Discontinuous and coupled continu-ous/discontinuous Galerkin methods for the shallow water equations. (Englishsummary) 2003j:76074

Dehghan,Mehdi A new ADI technique for two-dimensional parabolic equation with an

integral condition. (English summary) 2003e:65145

Numerical solution of the three-dimensional parabolic equation with an integralcondition. (English summary) 2003b:65084

Evje, Steinar (with Karlsen, Kenneth Hvistendahl) An error estimate for viscous approxi-mate solutions of degenerate parabolic equations. (English summary) 2003f:35176

Ewing, Richard E. (with Lin, Yan-ping; Sun, Tong; Wang, Jun Ping1; Zhang, Shu Hua3)Sharp L2-error estimates and superconvergence of mixed finite element methods for non-Fickian flows in porous media. (English summary) 2003m:65177

Fairweather, Graeme see Pani, Amiya K., 2003e:65179 and 2003m:65187

Falcone,M. (with Ferretti, Roberto) A-priori estimates for a semi-Lagrangian scheme forthe wave equation. (English summary) (see 2003j:65004)

FernandezCara, Enrique see Albarreal, I. I. et al., 2003j:76079Ferragut, Luis (with Asensio, Isabel) Mixed finite element methods for a class of nonlinearreaction diffusion problems. (English summary) 2003h:65132

Ferretti, Roberto see Falcone,M., (2003j:65004)Flaherty, Joseph E. (with Krivodonova, Lilia; Remacle, Jean-Francois; Shephard, Mark S.)Aspects of discontinuous Galerkin methods for hyperbolic conservation laws. (Englishsummary) 2003e:65176

Galo, J. R. see Albarreal, I. I. et al., 2003j:76079Garay, BarnabasM. see Beyn, Wolf-Jurgen, 2003b:65096Garcıa-Archilla, Bosco (with Novo, Julia; Titi, Edriss S.) Postprocessing Fourier spectralmethods: the case of smooth solutions. (English summary) 2003m:65179

Gegechkori, Zurab (with Rogava, Dzh. L.; Tsiklauri, Mikheil) High degree precisiondecomposition method for the evolution problem with an operator under a split form.(English summary) 2003i:34135

Girault, Vivette (with Lions, Jacques-Louis) Two-grid finite-element schemes for thetransient Navier-Stokes problem. (English summary) 2003a:76078

Handlovicova, A. (withMikula, Karol) Analysis of a semidiscrete scheme for solving imagesmoothing equation of mean curvature flow type. (English summary) 2003m:65180

Hansbo, Anita Strong stability and non-smooth data error estimates for discretizations oflinear parabolic problems. (English summary) 2003d:65085

Heiermann, Jorg see Iben, U. et al., (2003f:65007)Hemker, Pieter W. (with Shishkin, Grigorii I.; Shishkina, L. P.) High-order time-accurateschemes for singularly perturbed parabolic convection-diffusion problems with Robinboundary conditions. (English summary) 2003c:65072

Hoffman, Johan (with Johnson, Claes) Adaptive finite element methods for incompressiblefluid flow. (English summary) 2003m:76108

Hou, LiSheng see Chrysafinos, K., 2003e:65175Huang, Jin Yang (withWang, Jinghua; Warnecke, Gerald G.) Error bounds for thelarge time step Glimm scheme applied to scalar conservation laws. (English summary)2003f:65153

Iben, U. (withWarnecke, Gerald G.; Heiermann, Jorg; Auweter-Kurtz, Monika) Adaptivenumerics for the simulation of magneto-plasmadynamic rocket thrusters. (Englishsummary) (see 2003f:65007)

Jenkins, Eleanor W. (with Riviere, Beatrice; Wheeler, Mary Fanett) A priori errorestimates for mixed finite element approximations of the acoustic wave equation. (Englishsummary) 2003k:65120

Jodar, Lucas (withMarletta, Marco) Analytic-numerical solutions with a prioribounds for matrix-vector parabolic partial differential equations. (English summary)2003c:35058

Johnson, Claes see Hoffman, Johan, 2003m:76108

Joly, Patrick see Becache, Eliane et al., 2003d:65089Karlsen, KennethHvistendahl see Evje, Steinar, 2003f:35176Kessler, D. (with Scheid, Jean-Francois) A priori error estimates of a finite-elementmethodfor an isothermal phase-field model related to the solidification process of a binary alloy.(English summary) 2003e:65177

Krivodonova, Lilia see Flaherty, Joseph E. et al., 2003e:65176Kruger, O. (with Picasso, Marco; Scheid, Jean-Francois) A posteriori error estimatesand adaptive finite elements for a nonlinear parabolic problem related to solidification.(English summary) 2003m:65183

Lagnese, John E. (with Leugering, Gunter) A posteriori error estimates in time-domaindecomposition of final value optimal control of the acoustic wave equation. (Englishsummary) 2003h:49052

Landau, Luiz see Castro, Rigoberto G. Sanabria et al., 2003b:76116Lee, Hyun Young (with Ohm, Mi Ray; Shin, Jun Yong) Fully discrete approximation for aquasilinear Stefan problem with forcing term. (English summary) 2003g:65119

see also Ohm, Mi Ray et al., 2003m:65186

Lenferink, Wim A second order scheme for a time-dependent, singularly perturbedconvection-diffusion equation. (English summary) 2003b:65102

Leugering, Gunter see Lagnese, John E., 2003h:49052Li, Qian1 Strongly superconvergence for finite element approximations to integro-differential problems. (Chinese. English summary) 2003k:65121

Li, YongHai A generalized difference method (finite volume method) for parabolicequations. (Chinese. English summary) 2003m:65143

Liang, Guo Ping seeMa, Chang Feng et al., 2003m:65185

Lin, Jia Fu see Chen, Ying6 et al., 2003c:65090Lin, Qun1 see Chen, Ying6 et al., 2003c:65090Lin, Yan-ping see Ewing, Richard E. et al., 2003m:65177

Lions, Jacques-Louis see Girault, Vivette, 2003a:76078Liu, Shao Peng seeMa, Chang Feng et al., 2003m:65185

Liu, Wen Bin1 (with Yan, Ningning) A posteriori error estimates for optimal controlproblems governed by parabolic equations. (English summary) 2003k:49067

Liu, Yun Xian Collocation methods andH 1-error estimates for the semiconductor problemwith heat-conduction. (Chinese. English and Chinese summaries)Alternating direction finite element methods for semiconductor problem on nonrectangu-lar domains. (Chinese. English and Chinese summaries) 2003k:65122

Loula, Abimael F. D. see Castro, Rigoberto G. Sanabria et al., 2003b:76116Ma, Chang Feng (with Liang, Guo Ping; Liu, Shao Peng) Error analysis of a finiteelement projection method for a class of wave equations. (Chinese. English summary)2003m:65185


Ma, He-ping see Tang, Jian Guo2, 2003f:65175Malta, Sandra M. C. see Castro, Rigoberto G. Sanabria et al., 2003b:76116Marın Beltran, Mercedes see Albarreal, I. I. et al., 2003j:76079Marletta,Marco see Jodar, Lucas, 2003c:35058Mbazi, Donatien Donald Error analysis of the finite element approximations for hyperbolicpartial integro-differential equations. (Chinese. English and Chinese summaries)2003c:65094

Mikula, Karol see Handlovicova,A., 2003m:65180Minaılos, A. N. Computation of equations with prescribed accuracy with respect tosingular terms, and the defect of differential equations. (Russian. Russian summary)2003b:76042

Nagasawa, Takeyuki (with Nakane, Kazuaki; Omata, Seiro) Numerical computations formotion of vortices governed by a hyperbolic Ginzburg-Landau system. 2003f:35212

Nakane, Kazuaki see Nagasawa, Takeyuki et al., 2003f:35212Novo, Julia see Garcıa-Archilla, Bosco et al., 2003m:65179

Ohlberger,Mario (with Rohde, Christian) Adaptive finite volume approximationsfor weakly coupled convection dominated parabolic systems. (English summary)2003e:65152

Ohm, Mi Ray (with Shin, Jun Yong; Lee, Hyun Young) Error estimates for a single phasequasilinear Stefan problem with a forcing term. (English summary) 2003m:65186

see also Lee, Hyun Young et al., 2003g:65119Omata, Seiro see Nagasawa, Takeyuki et al., 2003f:35212Omrani, Khaled see Benammou, Samir, 2003c:65089Ostermann, Alexander (with Thalhammer, Mechthild) Convergence of Runge-Kuttamethods for nonlinear parabolic equations. (English summary) 2003g:65131

Pani, Amiya K. (with Fairweather, Graeme) H 1-Galerkin mixed finite element methods forparabolic partial integro-differential equations. (English summary) 2003e:65179(with Fairweather, Graeme) An H 1-Galerkin mixed finite element method for anevolution equation with a positive-typememory term. (English summary) 2003m:65187

Pazos, Ruben Panta (with Thompson, Mark; Vilhena, Marco Tulio M. B.) Error boundsfor spectral collocation method for the linear Boltzmann equation. (English summary)2003b:65105

Picasso, Marco see Kruger, O. et al., 2003m:65183Pop, Iuliu Sorin (with Yong, Wen-An) A numerical approach to degenerate parabolicequations. (English summary) 2003e:35168

Proft, Jennifer see Dawson, C. N., 2003j:76074Prohl, Andreas (with Ruzicka, Michael) On fully implicit space-time discretization formotions of incompressible fluids with shear-dependent viscosities: the case p ≤ 2.(English summary) 2003a:76011

Razgulin,A. V. (with Roganovich, I. B.) Convergence of the projection difference schemefor the nonlinear parabolic equation with transformed spatial argument. (Englishsummary) 2003f:65156

Remacle, Jean-Francois see Flaherty, Joseph E. et al., 2003e:65176Ren, Zong-xiu (with Chen, Zhen-zhong; Wang, Xiao-feng) A family of high-orderaccuracy explicit difference schemes for solving 2-D parabolic partial differentialequation. (English and Chinese summaries) 2003m:65149

Riviere, Beatrice see Jenkins, Eleanor W. et al., 2003k:65120Roganovich, I. B. see Razgulin,A. V., 2003f:65156Rogava,Dzh. L. see Gegechkori, Zurab et al., 2003i:34135Rohde,Christian see Ohlberger, Mario, 2003e:65152Rui, Hong Xing Symmetric modified finite volume element methods for self-adjoint ellipticand parabolic problems. (English summary) 2003j:65101(with Tabata, Masahisa) A second order characteristic finite element scheme forconvection-diffusion problems. (English summary) 2003e:65167Symmetric mixed covolume methods for parabolic problems. (English summary)2003g:65121

Ruzicka,Michael see Prohl, Andreas, 2003a:76011Scheid, Jean-Francois see Kessler, D., 2003e:65177 and Kruger, O. et al., 2003m:65183Shephard,Mark S. see Flaherty, Joseph E. et al., 2003e:65176Shin, Jun Yong see Lee, Hyun Young et al., 2003g:65119 and Ohm, Mi Ray et al.,

2003m:65186

Shishkin, Grigorii I. A posteriori and a priori techniques of local grid refinement forparabolic problems with boundary and transition layers. (English summary) (see2003e:65003)see also Hemker, Pieter W. et al., 2003c:65072

Shishkina,L. P. see Hemker, Pieter W. et al., 2003c:65072Sinha, Rajen Kumar Finite element approximations with quadrature for second-orderhyperbolic equations. (English summary) 2003e:65180

Stefanelli,Ulisse Analysis of a variable time-step discretization of the three-dimensionalFremond model for shape memory alloys. (English summary) 2003g:74072

Stikoniene,Olga see Ciegis, Raimondas, 2003d:65075 and 2003d:65076

Sun, Tong see Ewing, Richard E. et al., 2003m:65177Tabata,Masahisa see Rui, Hong Xing, 2003e:65167Tang, Jian Guo2 (withMa, He-ping) Single and multi-interval Legendre >-methods in timefor parabolic equations. (English summary) 2003f:65175

Thalhammer, Mechthild see Ostermann, Alexander, 2003g:65131Thompson,Mark see Pazos, Ruben Panta et al., 2003b:65105Titi, Edriss S. see Garcıa-Archilla, Bosco et al., 2003m:65179

Tsiklauri, Mikheil High order of accuracy decomposition method for an evolution problemwith variable operator. (English summary) 2003k:65053

see also Gegechkori, Zurab et al., 2003i:34135Tsogka, Chrysoula see Becache, Eliane et al., 2003d:65089Vejchodsky, Tomas Fully discrete error estimation by the method of lines for a nonlinearparabolic problem. (English summary) 2003m:65162

Vilhena,Marco Tulio M. B. see Pazos, Ruben Panta et al., 2003b:65105Wang,Hong9 (with Zhao, Wei Dong1) An upwind finite volume scheme and its maximum-principle-preserving ADI splitting for unsteady-state advection-diffusion equations.(English summary) 2003k:65093

Wang, Jinghua see Huang, Jin Yang et al., 2003f:65153Wang, Jun Ping1 see Ewing, Richard E. et al., 2003m:65177

Wang, Xiao-feng see Ren, Zong-xiu et al., 2003m:65149

Warnecke, Gerald G. see Huang, Jin Yang et al., 2003f:65153 and Iben, U. et al.,(2003f:65007)

Wheeler, Mary Fanett see Jenkins, Eleanor W. et al., 2003k:65120Yan, Ningning see Liu, Wen Bin1, 2003k:49067Yang, Dan Ping see Zhang, Zheng Ru, 2003j:65095Ye, Xing De (with Cheng, Xiao Liang) Legendre collocation approximation for Cahn-Hilliard equation. (Chinese. English and Chinese summaries) 2003h:65140

The Fourier collocation method for the Cahn-Hilliard equation. (English summary)2003e:65185

The Legendre collocation method for the Cahn-Hilliard equation. (English summary)2003m:65188

Ying, Long An Convergence study of the Chorin-Marsden formula. (English summary)2003j:65098

Yong, Wen-An see Pop, Iuliu Sorin, 2003e:35168Yuan, Yi Rang The upwind finite difference method for compressible two-phase displace-ment problem. (Chinese. English and Chinese summaries) 2003m:65153The modified method of characteristics with finite element operator-splitting proce-dures for compressible multicomponent displacement problem. (English summary)2003m:65165

Zhang, Shu Hua3 see Ewing, Richard E. et al., 2003m:65177

Zhang, Zheng Ru (with Yang, Dan Ping) C-N difference streamline diffusion method forthree-dimensional semiconductor problem with heat-conduction and numerical analysis.(Chinese. English and Chinese summaries) 2003j:65095

Zhao, Wei Dong1 seeWang, Hong9, 2003k:65093Zidani, Housnaa see Bergounioux,Maıtine, 2003c:49047

65M20 Method of lines


(with Fernandez Bonder, Julian; Groisman, Pablo; Rossi, Julio Daniel) Simultaneous vs.non-simultaneous blow-up in numerical approximations of a parabolic system with non-linear boundary conditions. (English summary) 2003g:65109

Alonso-Mallo, Isaıas (with Cano, Begona) Spectral/Rosenbrock discretizations withoutorder reduction for linear parabolic problems. (English summary) 2003e:65163(with Reguera, Nuria) Weak ill-posedness of spatial discretizations of absorbingboundary conditions for Schrodinger-type equations. (English summary) 2003f:65159


Anh, V. V. see Liu, Fa Wang et al., 2003e:65165Boswell, Graeme P. (with Jacobs, Helen; Davidson, Fordyce A.; Gadd, GeoffreyM.; Ritz,Karl) A positive numerical scheme for a mixed-type partial differential equation modelfor fungal growth. (English summary) 2003m:65160

Bujanda, Blanca (with Jorge, Juan Carlos) Fractional step Runge-Kutta methods for theresolution of two dimensional time dependent coefficient convection-diffusion problems.(English summary) (see 2003e:65003)

Cano, Begona see Alonso-Mallo, Isaıas, 2003e:65163Chen, Jing Hua see Sun, Xiao Ming

Davidson, Fordyce A. see Boswell, Graeme P. et al., 2003m:65160

Dempster, M. A. H. (with Eswaran, A.) Wavelet based PDE valuation of derivatives.(English summary) 2003e:65164

Driscoll, Tobin A. A composite Runge-Kutta method for the spectral solution of semilinearPDEs. (English summary) 2003i:65081

Duran, R. G. see Acosta, Gabriel et al., 2003k:65102Eswaran, A. see Dempster, M. A. H., 2003e:65164FernandezBonder, Julian see Acosta, Gabriel et al., 2003g:65109Gadd, Geoffrey M. see Boswell, Graeme P. et al., 2003m:65160Gottlieb, Lee-Ad J. see Gottlieb, Sigal, 2003m:65161

Gottlieb, Sigal (with Gottlieb, Lee-Ad J.) Strong stability preserving properties of Runge-Kutta time discretization methods for linear constant coefficient operators. (Englishsummary) 2003m:65161

Groisman, Pablo see Acosta, Gabriel et al., 2003g:65109Hundsdorfer, Willem H. Accuracy and stability of splitting with stabilizing corrections.(English summary) 2003k:65103

Jacobs, Helen see Boswell, Graeme P. et al., 2003m:65160Jorge, Juan Carlos see Bujanda, Blanca, (2003e:65003)Liu, Fa Wang (with Turner, Ian W.; Anh, V. V.) An unstructured mesh finite volumemethod for modelling saltwater intrusion into coastal aquifers. (English summary)2003e:65165

Mancuso, Massimo (with Ubertini, Francesco) The Nørsett time integrationmethodologyfor finite element transient analysis. (English summary) 2003c:65086

Morante Blanco, Rodrigo see Alvarez Dıaz, Lilliam et al., 2003f:65160Ngo, A. Q. T. see Steinebach,Gerd, (2003j:65004)Nishida, Hidetoshi (with Satofuka, N.) A variable order method of lines: accuracy,conservation and applications. (English summary) (see 2003b:65004)

Reguera, Nuria see Alonso-Mallo, Isaıas, 2003f:65159Ritz, Karl see Boswell, Graeme P. et al., 2003m:65160

Rossi, Julio Daniel see Acosta, Gabriel et al., 2003g:65109 and 2003k:65102

Ruiz de Zarate, Ailin see Alvarez Dıaz, Lilliam et al., 2003f:65160Satofuka, N. see Nishida, Hidetoshi, (2003b:65004)Saucez, Philippe (with Schiesser, W. E.; Vande Wouwer, Alain) Erratum: “Upwinding inthe method of lines” [Math. Comput. Simulation 56 (2001), no. 2, 171–185; 1833228].

Schiesser, W. E. see Saucez,Philippe et al.Steinebach,Gerd (with Ngo, A. Q. T.) A method of lines flux-difference splittingfinite volume approach for 1D and 2D river flow problems. (English summary) (see2003j:65004)

Sun, Xiao Ming (with Chen, Jing Hua) A study on the Grassmannian fixed-point theorem.(Chinese. English and Chinese summaries)


Turner, Ian W. see Liu, Fa Wang et al., 2003e:65165Ubertini, Francesco seeMancuso,Massimo, 2003c:65086Vande Wouwer, Alain see Saucez, Philippe et al.

Vejchodsky, Tomas Fully discrete error estimation by the method of lines for a nonlinearparabolic problem. (English summary) 2003m:65162

Zlateva, Krasimira Method of lines for parabolic equations with dynamical boundaryconditions. (English summary) 2003a:65077

Items with secondary classifications in 65M20Abdulle,Assyr Fourth order Chebyshev methods with recurrence relation. (Englishsummary) 2003g:65074

Acosta, Gabriel (with Fernandez Bonder, Julian; Groisman, Pablo; Rossi, Julio Daniel)Numerical approximation of a parabolic problem with a nonlinear boundary conditionin several space dimensions. (English summary) 2003a:35117

Alonso-Mallo, Isaıas Runge-Kutta methods without order reduction for linear initialboundary value problems. (English summary) 2003e:65111

Al-Zanaidi,M. A. see Chawla, M. M., 2003b:65081Arino, Ovide see Boushaba, Khalid et al., 2003f:65161Blom, Joke G. see Verwer, Jan G. et al., 2003d:65083Boushaba, Khalid (with Arino, Ovide; Boussouar, Ahmed) A mathematicalmodel forphytoplankton. (English summary) 2003f:65161

Boussouar, Ahmed see Boushaba, Khalid et al., 2003f:65161Bujanda, Blanca (with Jorge, Juan Carlos) Additive Runge-Kutta methods for theresolution of linear parabolic problems. (English summary)


Chawla, M. M. (with Al-Zanaidi, M. A.) An extended trapezoidal formula for thediffusion equation in two space dimensions. (English summary) 2003b:65081

Chen, Jing-Bo (withMunthe-Kaas, Hans Z.; Qin, Meng Zhao) Square-conservativeschemes for a class of evolution equations using Lie-group methods. (English summary)2003d:65096

Cox, S. M. (withMatthews, Paul C.) Exponential time differencing for stiff systems.(English summary) 2003b:65064

Dumont, Yves Vibrations of a beam between stops: numerical simulations and comparisonof several numerical schemes. (English summary) 2003d:74035

Duong, Thanh-Binh see Tran, Thanh, 2003k:65125FernandezBonder, Julian (with Groisman, Pablo; Rossi, Julio Daniel) On numerical blow-up sets. (English summary) 2003b:35023see also Acosta, Gabriel et al., 2003a:35117

Gerisch, Alf (with Verwer, Jan G.) Operator splitting and approximate factorization fortaxis-diffusion-reactionmodels. (English summary) 2003g:65079

Gladwell, Ian see Zhang,Wen1, 2003d:74002Groisman, Pablo see Acosta, Gabriel et al., 2003a:35117 and FernandezBonder, Julian et al.,

2003b:35023

van der Houwen, P. J. (with Sommeijer, B. P.) Approximate factorization in shallow waterapplications. (English summary) 2003m:76125

Hundsdorfer,Willem H. see Verwer, Jan G. et al., 2003d:65083Ispolov, Yu. G. (with Postoyalkina, E. A.; Shabrov, N. N.) Construction of methods andthe organization of algorithms for the numerical integration of a nonstationary heatconduction problem. (Russian. English and Russian summaries) 2003i:80014

Jorge, Juan Carlos see Bujanda, Blanca

Lewis, Debra (with Nigam, Nilima) Geometric integration on spheres and some interestingapplications. (English summary) 2003m:37137

Matthews, Paul C. see Cox, S. M., 2003b:65064Munthe-Kaas,Hans Z. see Chen, Jing-Bo et al., 2003d:65096Nigam, Nilima see Lewis, Debra, 2003m:37137

Palencia de Lara, C. see Calvo,Mari Paz, 2003h:65091Postoyalkina, E. A. see Ispolov, Yu. G. et al., 2003i:80014Qin, Meng Zhao see Chen, Jing-Bo et al., 2003d:65096Romero, Ignacio On the stability and convergence of fully discrete solutions in linearelastodynamics. (English summary) 2003c:74031

Rossi, Julio Daniel see Acosta, Gabriel et al., 2003a:35117 and FernandezBonder, Julian etal., 2003b:35023

Ruuth, Steven J. see Spiteri, Raymond J., 2003g:65083Segeth, Karel see Solın, Pavel

Shabrov, N. N. see Ispolov, Yu. G. et al., 2003i:80014Solın, Pavel (with Segeth, Karel) Application of the method of lines to unsteadycompressible Euler equations. (English summary)

Sommeijer, B. P. see van der Houwen, P. J., 2003m:76125Spiteri, Raymond J. (with Ruuth, Steven J.) A new class of optimal high-order strong-stability-preserving time discretizationmethods. (English summary) 2003g:65083

Torres, German (with Turner, Cristina V.) Method of straight lines for a Bingham problem.(English summary) 2003b:76011

Tran, Thanh (with Duong, Thanh-Binh) A complete analysis for some a posteriori errorestimates with the finite element method of lines for a nonlinear parabolic equation.(English summary) 2003k:65125

Turner, Cristina V. see Torres, German, 2003b:76011Vanselow, R. Error estimates of a FEM with lumping for parabolic PDEs. (Englishsummary) 2003d:65094

Verwer, Jan G. (with Hundsdorfer, Willem H.; Blom, Joke G.) Numerical time integrationfor air pollution models. (English summary) 2003d:65083see also Gerisch, Alf, 2003g:65079

Zhang,Wen1 (with Gladwell, Ian) Morphological evolution of a 3D array of particlesunder surface diffusion. (English summary) 2003d:74002

65M25 Method of characteristics

Abukhaled,Marwan I. see Poorkarimi, H.

Al-Lawatia, Mohamed (withWang,Hong9) A family of higher-order Eulerian-Lagrangianlocalized adjoint methods for advection-diffusion equations. (English summary)

2003g:65110

(withWang, Hong9) A preliminary investigation on an ELLAM scheme for lineartransport equations. (English summary) 2003k:65104

Alvarez-Vazquez,L. J. (withMartınez Varela, A. M.; Rodrıguez, Carmen; VazquezMendez, M. E.) A wastewater treatment problem: study of the numerical convergence.(English summary) 2003h:65122

Arino, Ovide see Boushaba, Khalid et al., 2003f:65161Bokov, D. N. The method of characteristic directions for computing the one-dimensionalscalar nonlinear advection equation with a nonconvex flow function. (Russian. Englishand Russian summaries) 2003h:65123

Boushaba, Khalid (with Arino, Ovide; Boussouar, Ahmed) A mathematicalmodel forphytoplankton. (English summary) 2003f:65161

Boussouar, Ahmed see Boushaba, Khalid et al., 2003f:65161Dahle, Helge K. see Tai, Xue-Cheng et al., (2003f:65005)Dimotakis, P. E. see Papalexandris,M. V. et al., 2003e:65166Du, Zheng Ping see Lu, Jin Fu et al.

Espedal, Magne S. see Tai, Xue-Cheng et al., (2003f:65005) and Wang, Hong9 et al.,(2003f:65005)

Falcone,M. (with Ferretti, Roberto) A-priori estimates for a semi-Lagrangian scheme forthe wave equation. (English summary) (see 2003j:65004)

Ferretti, Roberto see Falcone,M., (2003j:65004)Gunther, MichaelM. see Pulch, R., 2003f:65162Layton, Anita T. (with Layton, Harold E.) A numerical method for renal models thatrepresent tubules with abrupt changes in membrane properties. (English summary)2003m:65163

Layton, Harold E. see Layton, Anita T., 2003m:65163Leonard, Anthony see Papalexandris,M. V. et al., 2003e:65166Liu, Xiao Yu see Lu, Jin Fu et al.

Lu, Jin Fu (with Liu, Xiao Yu; Du, Zheng Ping) A characteristic differencemethod for theconvection-dominateddiffusion problems. (Chinese. English and Chinese summaries)

Martınez Varela, A. M. see Alvarez-Vazquez,L. J. et al., 2003h:65122Noelle, Sebastian Multidimensional flux-vector-splitting and high-resolution characteristicschemes. (see 2003j:65004)

Papalexandris,M. V. (with Leonard, Anthony; Dimotakis, P. E.) Unsplit algorithms formultidimensional systems of hyperbolic conservation laws with source terms. (Englishsummary) 2003e:65166

Pham Minh Hien (with Rudgyard, M.; Suli, Endre) Bicharacteristic methods for multi-dimensional hyperbolic systems. (English summary) (see 2003j:65004)

Poorkarimi, H. (with Abukhaled, Marwan I.) Modified Euler’s method for a first orderpartial differential equation. (English summary)

Pulch, R. (with Gunther, Michael M.) A method of characteristics for solving multiratepartial differential equations in radio frequency application. (English summary)2003f:65162

Qiu, Jianxian (with Shu, Chi-Wang) On the construction, comparison, and localcharacteristic decomposition for high-order central WENO schemes. (English summary)2003j:65083

Rodrıguez, Carmen see Alvarez-Vazquez, L. J. et al., 2003h:65122Rudgyard, M. see Pham Minh Hien et al., (2003j:65004)Rui, Hong Xing (with Yang, Dan Ping) Schwarz domain decomposition method with timestepping along characteristic for convection diffusion equations. (see 2003f:65005)(with Tabata, Masahisa) A second order characteristic finite element scheme forconvection-diffusion problems. (English summary) 2003e:65167

Seaıd, Mohammed On the quasi-monotone modified method of characteristics fortransport-diffusion problems with reactive sources. (English summary) 2003h:65124

Shu, Chi-Wang see Qiu, Jianxian, 2003j:65083Suli, Endre see Pham Minh Hien et al., (2003j:65004)Tabata,Masahisa see Rui, Hong Xing, 2003e:65167Tai, Xue-Cheng (withWidnes Johansen, Torbjørn O.; Dahle, Helge K.; Espedal, Magne S.)A characteristic domain splitting method. (English summary) (see 2003f:65005)

Vag, Jan E. seeWang, Hong9 et al., (2003f:65005)Vazquez Mendez,M. E. see Alvarez-Vazquez,L. J. et al., 2003h:65122Wang, Hong9 (with Vag, Jan E.; Espedal, Magne S.) A characteristic-based domaindecomposition and space-time local refinement method for advection-reactionequationswith interfaces. (English summary) (see 2003f:65005)see also Al-Lawatia, Mohamed, 2003g:65110 and 2003k:65104

Wang, Ru Yun (with Zhang, Chang Kuan) Notes on numerical computing technique withcurvilinear coordinate grids. (Chinese. English and Chinese summaries)

Wang, Tong Ke Direction-alternatingdifference scheme along characteristics for a two-dimensional convection-diffusion equation based on Boole sum approximation. (Chinese.English summary) 2003f:65163

Widnes Johansen, Torbjørn O. see Tai, Xue-Cheng et al., (2003f:65005)Yang, Dan Ping see Rui, Hong Xing, (2003f:65005)Yang, Qing3 Amoving grid finite element method along characteristics for a semiconductordevice. (Chinese. English summary) 2003k:65105

You, Tong Shun The ICT-MMOCAA difference method for the convection-diffusionequation. (Chinese. English and Chinese summaries) 2003m:65164

Yuan, Yi Rang The modified method of characteristics with finite element operator-splitting procedures for compressible multicomponent displacement problem. (Englishsummary) 2003m:65165

Yue, Xing Ye Local error estimates for methods of characteristics incorporating streamlinediffusion. (English summary) 2003j:65084A local pointwise error estimate for the modified method of characteristics. (Chinese.English and Chinese summaries) 2003e:65168

Zhang, Chang Kuan seeWang, Ru Yun

Items with secondary classifications in 65M25Califano, F. seeMangeney-Castelnau,Anne et al., 2003f:82091Cavazzoni, C. seeMangeney-Castelnau,Anne et al., 2003f:82091Chen, Zhangxin Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems. (English summary) 2003b:65100


(with Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M.) Degenerate two-phase incompressible flow. V. Characteristic finite element methods. (English summary)2003m:76106(with Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M.) Error analysis forcharacteristics-basedmethods for degenerate parabolic problems. (English summary)2003m:65157

Dou, Hong A characteristic-Galerkinmethod for the system of shallow water equationsand its error estimates. (Chinese. English and Chinese summaries) 2003j:76036

Du, Ning Modified characteristic difference scheme and maximum norm estimate for akind of convection-diffusion equation. (Chinese. English summary) 2003k:65087

Ethier, C. R. see Kaazempur-Mofrad,M. R. et al.

Ewing, Richard E. see Chen, Zhangxin et al., 2003m:65157 and 2003m:76106Frolkovic, Peter Flux-based method of characteristics for contaminant transport in flowinggroundwater. (English summary)

Jiang,Qiaoyuan see Chen, Zhangxin et al., 2003m:65157and 2003m:76106

Jourdain, Benjamin Probabilistic characteristics method for a one-dimensional inviscidscalar conservation law. (English summary) 2003m:60117

Kaazempur-Mofrad,M. R. (withMinev, Peter D.; Ethier, C. R.) A characteristic/finiteelement algorithm for time-dependent 3-D advection-dominated transport usingunstructured grids. (English summary)

Laitinen, Erkki J. (with Pieska, J.; Lapin, A. V.) Mesh approximation and iterativesolution of the continuous casting problem. (English summary) 2003i:65072

Lapin, A. V. see Laitinen, Erkki J. et al., 2003i:65072Mangeney-Castelnau,Anne (with Califano, F.; Cavazzoni, C.; Travnicek, P.) A numericalscheme for the integration of the Vlasov-Maxwell system of equations. (Englishsummary) 2003f:82091

Marquina,Antonio The numerical simulation of relativistic fluid flow with strong shocks.(English summary) (see 2003j:65004)

Minev, Peter D. see Kaazempur-Mofrad,M. R. et al.

Pieska, J. see Laitinen, Erkki J. et al., 2003i:65072Shi, Hong Xia seeWang, Tong KeSpagnuolo,Anna M. see Chen, Zhangxin et al., 2003m:65157and 2003m:76106

Travnicek, P. seeMangeney-Castelnau,Anne et al., 2003f:82091Wang, Tong Ke Crank-Nicolson difference scheme along characteristics for a one-dimensional convection-diffusion equation. (Chinese. English and Chinese summaries)2003e:65156(with Shi, Hong Xia) Mixed finite element method along characteristics for two-dimensional incompressible Navier-Stokes equations. (Chinese. English and Chinesesummaries)

Yang,Qing3 A moving-grid finite element method along characteristics for semiconductordevices of heat conduction. (Chinese. English and Chinese summaries) 2003g:65123

Zhang, Zhi Yue The new ADI characteristics finite element methods for the three-dimensional generalized nerve conduction equation. (English summary) 2003k:65126

65M30 Improperly posed problems

Abdel-Hamid,B. see Hashish, H. et al., 2003m:65167

Behiry, S. H. see Hashish, H. et al., 2003m:65167

Dorofeev, Konstantin (with Yagola, A. G.) A posteriori error estimation for the sourcewiserepresented solution with application to the problem of heat conductivity. (Englishsummary) 2003m:65166

Hashish, H. (with Behiry, S. H.; Abdel-Hamid, B.) A wavelet-Galerkin solution for thebackward heat conduction equations. (English summary) 2003m:65167

Marban, J. M. (with Palencia de Lara, C.) A new numerical method for backwardparabolic problems in the maximum-norm setting. (English summary) 2003m:65168

Menteshashvili,M. On numerical solution of the initial valued problem on the unit circle.Palencia de Lara, C. seeMarban, J. M., 2003m:65168Yagola,A. G. see Dorofeev, Konstantin,2003m:65166

Items with secondary classifications in 65M30Fu, Chu Li (with Qiu, Chun Yu) Wavelet and error estimation of surface heat flux.(English summary) 2003k:65106

Jourhmane,M. (with Nachaoui, Abdeljalil) Convergence of an alternatingmethod to solvethe Cauchy problem for Poisson’s equation. (English summary) 2003j:35316

Kabanikhin,S. I. (with Kowar, R.; Scherzer, Otmar; Vasin, V. V.) Numerical comparisonof iterative regularizationmethods for a parameter estimation problem in a hyperbolicPDE. (English summary) 2003b:65098

Kowar, R. see Kabanikhin, S. I. et al., 2003b:65098Liu, Jijun Numerical solution of forward and backward problem for 2-D heat conductionequation. (English summary) 2003f:35287

Nachaoui,Abdeljalil see Jourhmane,M., 2003j:35316Pham Minh Hien A stable marching difference scheme for an ill-posed Cauchy problem forthe three-dimensional Laplace equation. (English summary) 2003j:35317

Ponomarenko, A. K. Two invariant cubature formulas over hypercube. (English summary)2003m:65003

Qiu, Chun Yu see Fu, Chu Li, 2003k:65106Scherzer, Otmar see Kabanikhin,S. I. et al., 2003b:65098Tagiev, R. K. Convergence of the straight line method for optimal control problem byhyperbolic equations coefficients. (English and Azerbaijani summaries)

Vasin, V. V. see Kabanikhin,S. I. et al., 2003b:65098

65M32 Inverse problems

Akzhalova, A. Zh. see Dairbaeva, G., 2003c:65087Ang, Keng-Cheng see Ang, Whye-Teong et al.Ang, Whye-Teong (with Ang, Keng-Cheng; Dehghan, Mehdi) The determination of acontrol parameter in a two-dimensional diffusion equation using a dual-reciprocityboundary element method. (English summary)

Dairbaeva, G. (with Akzhalova, A. Zh.) On an approximate method for solving theproblem of reconstructing the coefficient of a two-dimensional quasilinear heat equation.

(Russian. English summary) 2003c:65087

Dehghan, Mehdi Numerical methods for two-dimensional parabolic inverse problem withenergy overspecification. (English summary) 2003f:65164

Numerical techniques for a parabolic equation subject to an overspecified boundarycondition. (English summary) 2003f:65165

Determination of an unknown parameter in a semi-linear parabolic equation. (Englishsummary) 2003i:65082


see also Ang, Whye-Teong et al.Fatullayev, Afet Golayoglu Numerical procedure for the determination of an unknownparameter in a parabolic equation. (English summary) 2003e:65169Numerical method of identification of an unknown source term in a heat equation.(English summary) 2003h:65126

Fu, Chu Li (with Qiu, Chun Yu) Wavelet and error estimation of surface heat flux.(English summary) 2003k:65106

Fukuhara, Makoto see Takeda, Tatsuoki et al.

Kabanikhin, S. I. (with Kowar, R.; Scherzer, Otmar; Vasin, V. V.) Numerical comparisonof iterative regularizationmethods for a parameter estimation problem in a hyperbolicPDE. (English summary) 2003b:65098

Kowar, R. see Kabanikhin, S. I. et al., 2003b:65098Li, Shou Ju seeWang, Deng Gang et al., 2003h:65127Li, Youming2 see Yang, Lei et al., 2003j:65086Liaqat, Ali see Takeda, Tatsuoki et al.

Liu, Ying Xi seeWang, Deng Gang et al., 2003h:65127Ma, Xiao Feng see Takeda, Tatsuoki et al.Marchuk, Guriı Ivanovich (with Shutyaev, V. P.) Solvability and numerical algorithms for aclass of variational data assimilation problems. (English summary) 2003j:65085

Qiu, Chun Yu see Fu, Chu Li, 2003k:65106Rosch, Arnd AGauss-Newton method for the identification of nonlinear heat transfer laws.(English summary) 2003f:65166

Scherzer, Otmar see Kabanikhin,S. I. et al., 2003b:65098Shirota, Kenji A numerical method for the problem of coefficient identification of the waveequation based on a local observation on the boundary. (English summary) 2003e:65170

Shutyaev,V. P. seeMarchuk, Guriı Ivanovich, 2003j:65085Takeda, Tatsuoki (with Fukuhara, Makoto; Ma, Xiao Feng; Liaqat, Ali) Solutionmethods for inverse problems that use neural networks. (Japanese)

Tian, Li Ping Another method for an inverse problem for the coefficient of a heatconduction equation. (Chinese. English and Chinese summaries)

Vasin, V. V. see Kabanikhin,S. I. et al., 2003b:65098Wang, Deng Gang (with Liu, Ying Xi; Li, Shou Ju) Chaos-regularizationhybrid algorithmfor nonlinear two-dimensional inverse heat conduction problem. (Chinese. English andChinese summaries) 2003h:65127

Wang, Yinghai see Yang, Lei et al., 2003j:65086Yang, Kongqing see Yang, Lei et al., 2003j:65086Yang, Lei (withWang, Yinghai; Yang, Kongqing; Li, Youming2) 1 + 1D wave equationinverse problem by chaos control techniques. (English summary) 2003j:65086


Achdou, Yves (with Pironneau, Olivier) Volatility smile by multilevel least square. (Englishsummary) 2003j:91053

Ackleh, Azmy S. (with Reich, Simeon) Approximation theory for parameter identificationin nonlinear delay evolution equations. (English summary) 2003d:34019

Ali, Ismail see Dimovski, I. H. et al., 2003e:44011Azari, Hossein Numerical procedures for the determination of an unknown coefficient inparabolic differential equations. (English summary) 2003h:35275

see also Shidfar, Afima Abdullah, 2003f:35290Bitterlich, Sandro (with Knabner, Peter) Adaptive and formfree identification ofnonlinearities in fluid flow from column experiments. (English summary) 2003d:76143(with Knabner, Peter) An efficient method for solving an inverse problem for theRichards equation. (English summary) 2003g:76103

Cai, Wei see Tadi, M. et al., 2003a:35204Dehghan, Mehdi Determination of a control function in three-dimensional parabolicequations. (English summary)

Dimovski, I. H. (with Kalla, Shyam L.; Ali, Ismail) Operational calculus approach to PDEarising in QR-regularisation of ill-posed problems. (English summary) 2003e:44011

Dorofeev, Konstantin (with Yagola, A. G.) A posteriori error estimation for the sourcewiserepresented solution with application to the problem of heat conductivity. (Englishsummary) 2003m:65166

Feng, En Min see Li, Chun Fa et al., 2003j:93020Ha, Jun-hong (with Nakagiri, Shin-Ichi) Identification problems of damped sine-Gordonequations with constant parameters. (English summary) 2003g:35225

Hazra, SubhenduBikash (with Schulz, Volker H.) Numerical parameter identification inmultiphase flow through porous media. (English summary)

Hokkanen, Veli-Matti (withMorosanu, Gheorghe; Neittaanmaki, Pekka) An inverseproblem for the telegraph system. (English summary) 2003i:35271

Kalla, ShyamL. see Dimovski, I. H. et al., 2003e:44011Klibanov, Michael V. see Tadi, M. et al., 2003a:35204Knabner, Peter see Bitterlich, Sandro, 2003d:76143 and 2003g:76103

Le Dimet, F.-X. (with Ngnepieba, P.; Shutyaev, V. P.) On error analysis in data assimilationproblems. (English summary) 2003c:49052

Lenhart, Suzanne (with Protopopescu, Vladimir) Solving identification problems for thewave equation by optimal control methods. (English summary) 2003d:49051

Li, Chun Fa (with Feng, En Min; Liu, Jin Wang) A parameter identification problem for aweakly coupled dynamic system. (Chinese. English and Chinese summaries) 2003j:93020

Liu, Jin Wang see Li, Chun Fa et al., 2003j:93020Logashenko, D. (withMaar, Bernd; Schulz, Volker H.; Wittum, Gabriel) Optimalgeometrical design of Bingham parameter measurement devices. (English summary)2003j:76044

Maar, Bernd see Logashenko, D. et al., 2003j:76044


Mannseth,Trond see Nilssen, Trygve K. et al., 2003m:76163

Morosanu, Gheorghe see Hokkanen, Veli-Matti et al., 2003i:35271Nakagiri, Shin-Ichi see Ha, Jun-hong, 2003g:35225Neittaanmaki, Pekka see Hokkanen, Veli-Matti et al., 2003i:35271Ngnepieba,P. see Le Dimet, F.-X. et al., 2003c:49052Nilssen, Trygve K. (withMannseth, Trond; Tai, Xue-Cheng) Permeability estimationwith the augmented Lagrangian method for a nonlinear diffusion equation. (Englishsummary) 2003m:76163

Orispaa, Mikko On point sources and near field measurements in inverse acoustic obstaclescattering. (English summary) 2003i:35272

Pironneau,Olivier see Achdou,Yves, 2003j:91053Protopopescu,Vladimir see Lenhart, Suzanne,2003d:49051Reich, Simeon see Ackleh, Azmy S., 2003d:34019Schulz,Volker H. see Logashenko, D. et al., 2003j:76044 and Hazra, SubhenduBikashShcheglov,Alekseı Yur′evich On the quasi-inversion of an inverse boundary value problemof nonequilibrium sorption dynamics. (Russian. Russian summary) 2003b:35212

Shidfar, Afima Abdullah (with Azari, Hossein) Determination of unknown coefficient inporous media. (English summary) 2003f:35290

Shutyaev,V. P. see Le Dimet, F.-X. et al., 2003c:49052Slodicka,Marian see Van Keer, Roger, 2003j:65081Sorokina,Maria Mikhailovna Solution of the estimation problem for parabolic systemswith nonzero boundary conditions. (Russian. Russian summary) 2003i:49067

Stojanovic, Srdjan Implied volatility for American options via optimal control and fastnumerical solutions of obstacle problems. 2003d:91053

Subası, Murat (with Yıldız, Bunyamin) Numerical solution and convergence speedof variational formulation for linear Schrodinger equation. (English summary)2003m:49059

Tadi, M. (with Klibanov, Michael V.; Cai, Wei) An inversion method for parabolicequations based on quasireversibility. (English summary) 2003a:35204

Tai, Xue-Cheng see Nilssen, Trygve K. et al., 2003m:76163Van Keer, Roger (with Slodicka, Marian) Numerical techniques for the recovery of anunknown Dirichlet data function in semilinear parabolic problems with nonstandardboundary conditions. (English summary) 2003j:65081

Wittum, Gabriel see Logashenko, D. et al., 2003j:76044Yagola,A. G. see Dorofeev, Konstantin,2003m:65166

Yıldız, Bunyamin see Subası, Murat, 2003m:49059

65M50 Mesh generation and refinement

Alauzet, Frederic (with Frey, Pascal J.; Mohammadi, Bijan) Adaptation de maillagesnon structures pour des problemes instationnaires. (English and French summaries)[Unstructured mesh adaptation for transient problems] 2003k:65107

Alpert, Bradley (with Beylkin, Gregory; Gines, D.; Vozovoi, L.) Adaptive solution ofpartial differential equations in multiwavelet bases. (English summary) 2003i:65083

Auweter-Kurtz, Monika see Iben, U. et al., (2003f:65007)Bankov, N. G. (with Kaschiev, M. S.; Vinitskiı, S. I.) Adaptivemethod for solving the time-dependent Schrodinger equation. (English summary) 2003k:65108

Beckett, G. (withMackenzie, John A.; Ramage, Alison; Sloan, D. M.) Computationalsolution of two-dimensional unsteady PDEs using moving mesh methods. (Englishsummary) 2003m:65169

Beylkin, Gregory see Alpert, Bradley et al., 2003i:65083Bottasso, Carlo L. Multiscale temporal integration. (English summary) 2003e:65171Cao, Weiming (with Huang, Wei Zhang1; Russell, Robert D.) A moving mesh methodbased on the geometric conservation law. (English summary) 2003h:65128

do Carmo Coimbra, Maria (with Sereno, Carlos; Rodrigues, Alırio) A moving finiteelement method for the solution of two-dimensional time-dependent models. (Englishsummary)

Cohen, Albert (with Kaber, Sidi Mahmoud; Muller, Siegfried; Postel, Marie) Fullyadaptivemultiresolution finite volume schemes for conservation laws. (English summary)2003k:65109

Deıneka, V. S. see Kalynyuk, N. A., (2003b:00017)Ferm, Lars (with Lotstedt, Per) Efficiency in the adaptive solution of inviscid compressibleflow problems. (English summary)

Frey, Pascal J. see Alauzet, Frederic et al., 2003k:65107Gines, D. see Alpert, Bradley et al., 2003i:65083Gomes, S. M. see Kaibara, M. K., (2003j:65004)Heiermann, Jorg see Iben, U. et al., (2003f:65007)Hemmingsson-Franden,Lina see Lotstedt, Per et al., 2003e:65172Hoch, Philippe (with Rascle, M.) Hamilton-Jacobi equations on a manifold andapplications to grid generation or refinement. (English summary) 2003h:65129

Houston, Paul see Suli, Endre, 2003k:65111Huang,Wei Zhang1 see Cao, Weiming et al., 2003h:65128Iben, U. (withWarnecke, Gerald G.; Heiermann, Jorg; Auweter-Kurtz, Monika) Adaptivenumerics for the simulation of magneto-plasmadynamic rocket thrusters. (Englishsummary) (see 2003f:65007)

Kaber, Sidi Mahmoud see Cohen, Albert et al., 2003k:65109Kaibara,M. K. (with Gomes, S. M.) A fully adaptivemultiresolution scheme for shockcomputations. (English summary) (see 2003j:65004)

Kalynyuk, N. A. (with Deıneka, V. S.) Numerical discretization of a cylindricallysymmetric diffusion problem with nonhomogeneous conjugation conditions. (Russian.English, Russian and Ukrainian summaries) (see 2003b:00017)

Kaschiev,M. S. see Bankov, N. G. et al., 2003k:65108Lang, A. W. (with Sloan, D. M.) Hermite collocation solution of near-singular problemsusing numerical coordinate transformations based on adaptivity. (English summary)2003i:65084

Lotstedt, Per (with Soderberg, Stefan; Ramage, Alison; Hemmingsson-Franden, Lina)Implicit solution of hyperbolic equations with space-time adaptivity. (English summary)2003e:65172see also Ferm, Lars

Mackenzie, John A. see Beckett, G. et al., 2003m:65169

Mohammadi, Bijan seeAlauzet, Frederic et al., 2003k:65107Muller, Siegfried see Cohen, Albert et al., 2003k:65109Postel, Marie see Cohen, Albert et al., 2003k:65109Ramage, Alison see Lotstedt, Per et al., 2003e:65172 and Beckett, G. et al., 2003m:65169

Rascle, M. see Hoch, Philippe, 2003h:65129Rodrigues, Alırio see do Carmo Coimbra, Maria et al.

Russell, Robert D. see Cao, Weiming et al., 2003h:65128Sereno, Carlos see do Carmo Coimbra, Maria et al.Sloan, D. M. A review of moving mesh methods for the numerical solution of partialdifferential equations. (English summary) 2003k:65110see also Lang, A. W., 2003i:65084 and Beckett, G. et al., 2003m:65169

Soderberg, Stefan see Lotstedt, Per et al., 2003e:65172Suli, Endre (with Houston, Paul) Adaptive finite element approximation of hyperbolicproblems. (English summary) 2003k:65111

Tang, Tao see Zhang, Zheng Ru, 2003j:65087Vinitskiı, S. I. see Bankov, N. G. et al., 2003k:65108Vozovoi, L. see Alpert, Bradley et al., 2003i:65083Warnecke, Gerald G. see Iben, U. et al., (2003f:65007)Zhang, Zheng Ru (with Tang, Tao) An adaptivemesh redistribution algorithm forconvection-dominatedproblems. (English summary) 2003j:65087

Items with secondary classifications in 65M50Adamsson, Carl see Nordstrom, Jan et al.

Atkins, Harold L. see Hu, Fang Q., 2003m:65182

Azarenok, Boris N. Variational barrier method of adaptive grid generation in hyperbolicproblems of gas dynamics. (English summary) 2003e:76087

Chen, Zhangxin see Huan, Guanren et al., 2003e:76077Csık, Arpad (with Deconinck, Herman) Space-time residual distribution schemes forhyperbolic conservation laws on unstructured linear finite elements. (English summary)2003m:65174

Cui, Ming (with Liang, Dong) Numerical methods for miscible displacement in porousmedia influenced by mobile water and immobile water. (English summary) 2003m:65175

Deconinck, Herman see Csık, Arpad, 2003m:65174Dunne, R. K. (with O’Riordan, E.; Shishkin, Grigorii I.) Singularly perturbed parabolicproblems on non-rectangular domains. (English summary) (see 2003e:65003)

Eliasson, Peter see Nordstrom, Jan et al.

Forsberg, Karl see Nordstrom, Jan et al.

Gessner, T. see Kroner, Dietmar, (2003j:65004)Gonzalez-Vida, Jose Manuel (with Pares, Carlos) A Lagrangian finite element algorithmfor the numerical solution of one-dimensional shallow water equations. (Spanish. Englishand Spanish summaries)

Hansbo, Peter see Larsson, Fredrik et al., 2003k:74060Hoffman, Johan (with Johnson, Claes) Adaptive finite element methods for incompressiblefluid flow. (English summary) 2003m:76108

Hu, Fang Q. (with Atkins, Harold L.) Eigensolution analysis of the discontinuousGalerkin method with nonuniform grids. I. One space dimension. (English summary)2003m:65182

Huan, Guanren (with Chen, Zhangxin; Li, Baoyan) Applications of the control vol-ume function approximation method to reservoir simulations. (English summary)2003e:76077

Jameson, Leland AMR vs high order schemes. (English summary) 2003m:76118

Johnson, Claes see Hoffman, Johan, 2003m:76108Karni, Smadar (with Kurganov, Alexander; Petrova, Guergana) A smoothness indicatorfor adaptive algorithms for hyperbolic systems. (English summary) 2003c:65075

Knabner, Peter (with Schneid, E.) Adaptive hybrid mixed finite element discretizationof instationary variably saturated flow in porous media. (English summary) (see2003b:65004)

Kroner, Dietmar (with Gessner, T.) Godunov type methods on unstructured grids andlocal mesh refinement. (English summary) (see 2003j:65004)

Kruger, O. (with Picasso, Marco; Scheid, Jean-Francois) A posteriori error estimatesand adaptive finite elements for a nonlinear parabolic problem related to solidification.(English summary) 2003m:65183

Kurganov, Alexander see Karni, Smadar et al., 2003c:65075Larsson, Fredrik (with Hansbo, Peter; Runesson, Kenneth) Space-time finite elementsand an adaptive strategy for the coupled thermoelasticity problem. (English summary)2003k:74060

Le Tallec, Patrick (withMallinger, Francois) Adaptive multimodel domain decompositionin fluid mechanics. (see 2003f:65005)

Li, Baoyan see Huan, Guanren et al., 2003e:76077Li, Ruo (with Tang, Tao; Zhang, Ping Wen) A moving mesh finite element algorithm forsingular problems in two and three space dimensions. (English summary) 2003c:65093

Liang, Dong see Cui, Ming, 2003m:65175Liu, Xiao Hua1 (with Liu, Zhibin) The finite element methods with moving mesh fornonlinear parabolic equation. (Chinese. English and Chinese summaries)

Liu, Zhibin see Liu, Xiao Hua1

Mackenzie, John A. (with Robertson, Mairi) A moving mesh method for the solution ofthe one-dimensional phase-field equations. (English summary) 2003h:65111

Majidi, Mohammad (with Starke, Gerhard) Least-squares Galerkin methods for parabolicproblems. II. The fully discrete case and adaptive algorithms. (English summary)2003e:65178

Mallinger, Francois see Le Tallec, Patrick, (2003f:65005)Marquina, Antonio seeMartınez, Vicente, 2003k:65089Martınez, Vicente (withMarquina, Antonio) Computation of travelling wave solutions ofscalar conservation laws with a stiff source term. (English summary) 2003k:65089

Matus, Petr P. (with Zyuzina, Elena) Three-level difference schemes on non-uniform intime grids. (English summary) 2003a:65067

Ming, Ping-bing (with Shi, Zhong Ci) Quadrilateral mesh revisited. (English summary)2003h:65169

Nordstrom, Jan (with Forsberg, Karl; Adamsson, Carl; Eliasson, Peter) Finite volumemethods, unstructured meshes and strict stability for hyperbolic problems. (English


summary)O’Riordan, E. see Dunne, R. K. et al., (2003e:65003)Pares, Carlos see Gonzalez-Vida, Jose Manuel

Petrova, Guergana see Karni, Smadar et al., 2003c:65075Picasso, Marco see Kruger, O. et al., 2003m:65183Robertson,Mairi seeMackenzie, John A., 2003h:65111Runesson, Kenneth see Larsson, Fredrik et al., 2003k:74060Saito, Tsutomu (with Voinovich, P.; Timofeev, Eugene V.; Takayama, Kazuyoshi)Development and application of high-resolution adaptive numerical techniques in shockwave research center. (English summary) (see 2003j:65004)

Scheid, Jean-Francois see Kruger, O. et al., 2003m:65183Schneid,E. see Knabner, Peter, (2003b:65004)Shi, Zhong Ci seeMing, Ping-bing, 2003h:65169Shishkin, Grigorii I. A posteriori and a priori techniques of local grid refinement forparabolic problems with boundary and transition layers. (English summary) (see2003e:65003)see also Dunne, R. K. et al., (2003e:65003)

Sonar, Thomas Methods on unstructured grids, WENO and ENP recovery techniques.2003g:65104

Starke, Gerhard seeMajidi, Mohammad, 2003e:65178Takayama, Kazuyoshi see Saito, Tsutomu et al., (2003j:65004)Tang, Tao see Li, Ruo et al., 2003c:65093Timofeev, Eugene V. see Saito, Tsutomu et al., (2003j:65004)Voinovich,P. see Saito, Tsutomu et al., (2003j:65004)Wilderotter, Olga Adaptive Finite-Elemente-Methode fur singulare parabolischeProbleme. (German. German summary) [Adaptive finite element method for singularparabolic problems] 2003i:65091

Yu,Hong Yi1 A local space-time adaptive scheme in solving two-dimensional parabolicproblems based on domain decomposition methods. (English summary) 2003g:65111

Zhang, Ping Wen see Li, Ruo et al., 2003c:65093Zyuzina,Elena seeMatus, Petr P., 2003a:65067

65M55 Multigrid methods; domain decomposition

Achdou,Yves (with Hontand, Jean-Claude; Pironneau, Olivier) A mortar element methodfor fluids. (English summary) (see 2003f:65005)

Borsboom, M. J. A. see Tan, Kian Hien, (2003f:65005)Brakkee, E. (with Vuik, C.; Wesseling, P.) Domain decomposition for the incompressibleNavier-Stokes equations: solving subdomain problems accurately and inaccurately.(English summary) (see 2003f:65005)

Cai, Xiao-Chuan (with Farhat, Charbel; Sarkis, Marcus) Schwarz methods for the un-steady compressible Navier-Stokes equations on unstructured meshes. (see 2003f:65005)

Cuffe, A. M. see Lai, Choi-Hong et al., (2003f:65005)D’Anfray, Philippe (with Halpern, Laurence; Ryan, Juliet) New trends in coupledsimulations featuring domain decomposition and metacomputing. (English summary)

Daoud, Daoud S. (with Subasi, D.) A fractional splitting algorithm for nonoverlappingdomain decomposition for parabolic problem. (English summary) 2003f:65167

Du, Qi Kui (with Yu, De Hao) A domain decomposition method based on naturalboundary reduction for nonlinear time-dependent exterior wave problems. (Englishsummary) 2003e:65173

Duncan, Dugald B. (with Qiu, Yiqi) Overlapping grids for welltest analysis. (Englishsummary) 2003d:65088

Eikemo, Merete S. (with Espedal, Magne S.) Domain decomposition methods for a threedimensional extrusion model. (English summary) (see 2003f:65005)

Ersland, Brit Gunn (with Espedal, Magne S.) A domain decomposition method forheterogeneous reservoir flow. (English summary) (see 2003f:65005)

Espedal, Magne S. seeWang, Hong9 et al., 2003f:65168;Eikemo, Merete S., (2003f:65005)and Ersland, Brit Gunn, (2003f:65005)

Ewing, Richard E. seeWang, Hong9 et al., 2003f:65168Farhat, Charbel see Cai, Xiao-Chuan et al., (2003f:65005)Gaiffe, Stephanie (with Glowinski, Roland; Masson, Roland) Domain decomposition andsplitting methods for mortar mixed finite element approximations to parabolic equations.(English summary) 2003i:65085

Gander, Martin J. (with Zhao, Hong-Kai) Overlapping Schwarz waveform relaxation forthe heat equation in n dimensions. (English summary) 2003m:65170

Giladi, Eldar (with Keller, Herbert B.) Space-time domain decomposition for parabolicproblems. (English summary) 2003j:65088

Glowinski, Roland see Gaiffe, Stephanie et al., 2003i:65085Halpern, Laurence see D’Anfray, Philippe et al.

He, Qi Ming2 (with Kang, Li Shan) Schwarz domain decomposition method formultidimensional and nonlinear evolution equations: subdomains have overlaps. (see2003f:65005)

Hontand, Jean-Claude see Achdou,Yves et al., (2003f:65005)Hu, Jian Wei (withWang, Cai Hua) Rate of convergence of Schwarz alternating methodfor time-dependent convection-diffusionproblem. (English summary) 2003i:65086

Jenkins, Eleanor W. see Kees, C. E. et al.Kang, Li Shan see He, Qi Ming2, (2003f:65005)Kees, C. E. (withMiller, Cass T.; Jenkins, Eleanor W.; Kelley, Carl T.) Versatile two-levelSchwarz preconditioners for multiphase flow. (English summary)

Keller, Herbert B. see Giladi, Eldar, 2003j:65088Kelley, Carl T. see Kees, C. E. et al.Lai, Choi-Hong (with Cuffe, A. M.; Pericleous, Koulis A.) A domain decompositiontechnique for viscous/inviscid coupling. (see 2003f:65005)

Lapin, A. V. (with Pieska, J.) On the parallel domain decomposition algorithms for time-dependent problems. (English summary) 2003e:65174

van Lent, Jan (with Vandewalle, Stefan) Multigrid waveform relaxation for anisotropicpartial differential equations. (English summary) 2003m:65171

Le Tallec, Patrick (withMallinger, Francois) Adaptive multimodel domain decompositionin fluid mechanics. (see 2003f:65005)

Liu, Jiangguo seeWang,Hong9 et al., 2003f:65168

Mallinger, Francois see Le Tallec, Patrick, (2003f:65005)Masson, Roland see Gaiffe, Stephanie et al., 2003i:65085Miller, Cass T. see Kees, C. E. et al.

Pericleous, Koulis A. see Lai, Choi-Hong et al., (2003f:65005)Pieska, J. see Lapin, A. V., 2003e:65174Pironneau,Olivier see Achdou,Yves et al., (2003f:65005)Qiu, Yiqi see Duncan, Dugald B., 2003d:65088Rochez, Jonathan (with Rodrigue, Garry) A multigrid upwind strategy for acceleratingsteady-state computations of waves propagating with curvature-dependent speeds.(English summary) 2003c:65088

Rodrigue, Garry see Rochez, Jonathan,2003c:65088Rui, Hong Xing Multiplicative Schwarz methods for parabolic problems. (Englishsummary) 2003h:65130

Ryan, Juliet see D’Anfray, Philippe et al.

Sarkis, Marcus see Cai, Xiao-Chuan et al., (2003f:65005)Subasi, D. see Daoud, Daoud S., 2003f:65167Sun, Xian-He see Zhuang, Yu2, 2003g:65112Tan, Kian Hien (with Borsboom, M. J. A.) Domain decomposition with patched subgrids.(English summary) (see 2003f:65005)

Vandewalle, Stefan see van Lent, Jan, 2003m:65171

Vuik, C. see Brakkee, E. et al., (2003f:65005)Wang, Cai Hua see Hu, Jian Wei, 2003i:65086Wang, Hong9 (with Liu, Jiangguo; Espedal, Magne S.; Ewing, Richard E.) A Eulerian-Lagrangian substructuring domain decomposition method for multidimensional,unsteady-state advection-diffusion equations. (English summary) 2003f:65168

Wesseling, P. see Brakkee, E. et al., (2003f:65005)Yotov, Ivan Advanced techniques and algorithms for reservoir simulation. IV. Multiblocksolvers and preconditioners. (English summary) (see 2003j:76006)

Yu, De Hao see Du, Qi Kui, 2003e:65173Yu, Hong Yi1 A local space-time adaptive scheme in solving two-dimensional parabolicproblems based on domain decomposition methods. (English summary) 2003g:65111

Yu, Xi Jun A multigrid method for nonlinear parabolic problems. (see 2003f:65005)Zhao, Hong-Kai see Gander, Martin J., 2003m:65170

Zhuang, Yu2 (with Sun, Xian-He) Stabilized explicit-implicit domain decompositionmethods for the numerical solution of parabolic equations. (English summary)2003g:65112


Aarnes, Jørg A parallel algorithm for two-phase flow in heterogeneous porous media usingan adaptive upscaling technique. (English summary) 2003d:76121

Averbuch, Amir Z. (with Ruvinsky, K.; Israeli, M.; Vozovoi, L.) Parallel implementationof multidomain Fourier algorithm for 2-D and 3-D Navier-Stokes equations. (see2003f:65005)

Borzı, Alfio (with Kunisch, Karl) A multigrid method for optimal control of time-dependent reaction diffusion processes. (English summary) (see 2003f:49002)

Bouillault, F. (with Buffa, A.; Maday, Yvon; Rapetti, Francesca) Simulation of a magneto-mechanical damping machine: analysis, discretization, results. (English summary)2003f:78021

Bristeau, M. O. (with Dean, Edward J.; Glowinski, Roland; Kwok, V.; Periaux, J.) Exactcontrollability and domain decomposition methods with non-matching grids for thecomputation of scattering waves. (English summary) (see 2003f:65005)

Buffa, A. see Bouillault, F. et al., 2003f:78021Campana, E. F. see Iafrati, A., 2003m:76126

Chiu, Chichia (withWei, Hsiu-Chuan) A multigrid method for pattern formation problemsin biology. (English summary) 2003k:92003

Choi, H. G. see Little, L. et al., 2003c:76093Ciegis, Raimondas (with Papastavrou, Areti; Zemitis, Aivars) Additive splitting methodsfor elliptic-parabolic problems. (English and Italian summaries) 2003b:65082

Dahle, Helge K. see Tai, Xue-Cheng et al., (2003f:65005)Dean, Edward J. (with Glowinski, Roland; Lions, Jacques-Louis) An operator splittingapproach to multilevelmethods. (English summary) 2003g:65040

see also Bristeau,M. O. et al., (2003f:65005)Discacciati, Marco (withMiglio, Edie; Quarteroni, Alfio) Mathematical and numericalmodels for coupling surface and groundwater flows. (English summary) 2003h:76087

Espedal, Magne S. see Tai, Xue-Cheng et al., (2003f:65005) and Wang, Hong9 et al.,(2003f:65005)

Gao, Jia Quan (with He, Guixia) An unconditionally stable parallel difference scheme forparabolic equations. (English summary) 2003h:65105

Ge, Yong Bin (with Tian, Zhen Fu; Wu, Wen Quan) A high accuracymultigrid method forthe 2-D parabolic equation. (Chinese. English and Chinese summaries)

Glowinski, Roland see Domain decomposition methods in sciences and engineer-ing, 2003f:65005;Dean, Edward J. et al., 2003g:65040 and Bristeau, M. O. et al.,(2003f:65005)

Guo, Ben-Yu seeWang, Zhong-Qing,2003g:41019He, Guixia see Gao, Jia Quan, 2003h:65105Huddleston, David see Rivera, Wilson et al., (2003b:76005)Iafrati, A. (with Campana, E. F.) A domain decomposition approach to compute wavebreaking (wave-breaking flows). (English summary) 2003m:76126

Israeli, M. see Averbuch, Amir Z. et al., (2003f:65005)Jimenez, Salvador (with Llorente, Ignacio M.; Mancho, Ana Marıa; Perez-Garcıa, VıctorM.; Vazquez, Luis) A numerical scheme for the simulation of blow-up in the nonlinearSchrodinger equation. (English summary) 2003h:65107

Kunisch, Karl see Borzı, Alfio, (2003f:49002)Kwok, V. see Bristeau, M. O. et al., (2003f:65005)Lagnese, John E. (with Leugering, Gunter) A posteriori error estimates in time-domaindecomposition of final value optimal control of the acoustic wave equation. (Englishsummary) 2003h:49052

(with Leugering, Gunter) Time domain decomposition in final value optimal control ofthe Maxwell system. (English summary) 2003k:49066


(with Leugering, Gunter) Domain decomposition in optimal control problems fordistributed parameter systems. (English summary) 2003j:49001

Laitinen, Erkki J. (with Pieska, J.; Lapin, A. V.) Mesh approximation and iterativesolution of the continuous casting problem. (English summary) 2003i:65072

Lapin, A. V. see Laitinen, Erkki J. et al., 2003i:65072

Leugering, Gunter see Lagnese, John E., 2003h:49052; 2003j:49001 and 2003k:49066

Li, Zhongze see Little, L. et al., 2003c:76093

Lions, Jacques-Louis see Dean, Edward J. et al., 2003g:65040

Little, L. (with Li, Zhongze; Choi, H. G.; Saad, Youcef) Particle partitioning strategies forthe parallel computation of solid-liquid flows. (English summary) 2003c:76093

Llorente, IgnacioM. see Jimenez, Salvador et al., 2003h:65107

Maday, Yvon see Bouillault, F. et al., 2003f:78021

Malafeı, D. A. seeMazhukin,Vladimir I. et al., 2003h:65145

Mancho,Ana Marıa see Jimenez, Salvador et al., 2003h:65107

Matus, Petr P. seeMazhukin, Vladimir I. et al., 2003h:65145

Mazhukin,Vladimir I. (withMalafeı, D. A.; Matus, Petr P.; Samarskiı, A. A.) Differenceschemes on nonuniform grids for equations of mathematical physics with variablecoefficients. (Russian. Russian summary) 2003h:65145

Medina,Miguel A., Jr. see Rao, Prasada, 2003k:76094

Miglio, Edie see Discacciati, Marco et al., 2003h:76087

Neuß, N. A new sparse-matrix storage method for adaptively solving large systems ofreaction-diffusion-transport equations. (English summary) 2003b:65045

Papastavrou,Areti see Ciegis, Raimondas et al., 2003b:65082

(Pavarino, Luca F.) see Recent developments in domain decomposition methods, 2003k:65167

Perez-Garcıa, Vıctor M. see Jimenez, Salvador et al., 2003h:65107

Periaux, J. see Domain decomposition methods in sciences and engineering,2003f:65005 andBristeau, M. O. et al., (2003f:65005)

Pieska, J. see Laitinen, Erkki J. et al., 2003i:65072

Quarteroni, Alfio see Discacciati, Marco et al., 2003h:76087

Rao, Prasada (withMedina, Miguel A., Jr.) Evaluation of V andW multiple grid cyclesfor modeling one and two-dimensional transient free surface flows. (English summary)2003k:76094

Rapetti, Francesca see Bouillault, F. et al., 2003f:78021

Rivera, Wilson (with Zhu, Jian Ping2; Huddleston, David) An efficient parallel algorithmfor solving unsteady Euler equations. (English summary) (see 2003b:76005)

Rui, Hong Xing (with Yang, Dan Ping) Schwarz domain decomposition method with timestepping along characteristic for convection diffusion equations. (see 2003f:65005)

Ruvinsky, K. see Averbuch, Amir Z. et al., (2003f:65005)

Saad, Youcef see Little, L. et al., 2003c:76093

Samarskiı, A. A. seeMazhukin, Vladimir I. et al., 2003h:65145

Saucez,Philippe (with Schiesser, W. E.; Vande Wouwer, Alain) Erratum: “Upwinding inthe method of lines” [Math. Comput. Simulation 56 (2001), no. 2, 171–185; 1833228].

Schiesser, W. E. see Saucez,Philippe et al.

Shen,Wei Dong seeZhang, Bao Lin1, 2003g:65105

(Shi, Zhong Ci) see Domain decomposition methods in sciences and engineering,2003f:65005

Tai, Xue-Cheng (withWidnes Johansen, Torbjørn O.; Dahle, Helge K.; Espedal, Magne S.)A characteristic domain splitting method. (English summary) (see 2003f:65005)

Tian, Zhen Fu seeGe, Yong Bin et al.

(Toselli, Andrea) see Recent developments in domain decompositionmethods, 2003k:65167

Vag, Jan E. seeWang, Hong9 et al., (2003f:65005)

Vande Wouwer, Alain see Saucez, Philippe et al.

Vazquez,Luis see Jimenez, Salvador et al., 2003h:65107

Vozovoi, L. see Averbuch, Amir Z. et al., (2003f:65005)

Wang,Hong9 (with Vag, Jan E.; Espedal, Magne S.) A characteristic-based domaindecomposition and space-time local refinement method for advection-reactionequationswith interfaces. (English summary) (see 2003f:65005)

Wang, Zhong-Qing (with Guo, Ben-Yu) A rational approximation and its applicationsto nonlinear partial differential equations on the whole line. (English summary)2003g:41019

Wei, Hsiu-Chuan see Chiu, Chichia, 2003k:92003

(Widlund,Olof B.) see Domain decompositionmethods in sciences and engineering,2003f:65005

Widnes Johansen,Torbjørn O. see Tai, Xue-Cheng et al., (2003f:65005)

Wu, Wen Quan see Ge, Yong Bin et al.

Yang, Dan Ping seeRui, Hong Xing, (2003f:65005)

Zemitis, Aivars see Ciegis, Raimondas et al., 2003b:65082

Zhang, Bao Lin1 (with Shen, Wei Dong) Notes on a finite difference domain-decomposition algorithm for the solution of a heat equation. (Chinese. English summary)2003g:65105

Zhang, She Sheng A hybrid multigrid method for the unsteady incompressible Navier-Stokes equations. (English summary) 2003k:76095

Zhu, Jian Ping2 see Rivera, Wilson et al., (2003b:76005)




Nonlinear problems in industry, domain decompositionmethods and numerical simulations Sangyo ue no hisenkei mondai to suchi shimyureshon to ryoiki bunkatsuho.(Japanese) [Nonlinear problems in industry, domain decomposition methods andnumerical simulations]

Recent developments in domain decompositionmethods Recent developments in domaindecomposition methods. 2003k:65167

Workshop:



65M60 Finite elements, Rayleigh-Ritz and Galerkin methods,finite methods

Abedi, Jalal (with Aliabadi, Shahrouz) Simulation of incompressible flows with heat andmass transfer using parallel finite element method. (English summary) (see 2003m:65006)

Ackerer, Philippe see Hoteit, H. et al., 2003m:65181Adjerid, Slimane A posteriori finite element error estimation for second-order hyperbolicproblems. (English summary) 2003g:65113

Aizinger, Vadym see Dawson, C. N., (2003j:76006)Aliabadi, Shahrouz see Abedi, Jalal, (2003m:65006)Altiparmak, Kemal Semi-discretized heat equation approximated by linear finite elementsmethod. (English summary)

Asensio, Isabel see Ferragut, Luis, 2003h:65132Atkins, Harold L. see Hu, Fang Q., 2003m:65182Ayati, Bruce P. (with Dupont, Todd F.) Galerkin methods in age and space for apopulation model with nonlinear diffusion. (English summary) 2003k:65112

Bakaev, Nikolai Yu. Analysis of fully discrete approximations to parabolic problems withrough or distribution-valued initial data. (English summary) 2003h:65131

Barrett, John W.1 (with Blowey, James F.) Finite element approximation of a degenerateAllen-Cahn/Cahn-Hilliard system. (English summary) 2003a:65078

(with Blowey, James F.) Finite element approximation of an Allen-Cahn/Cahn-Hilliardsystem. (English summary) 2003b:65099

Becache, Eliane (with Joly, Patrick; Tsogka, Chrysoula) A new family of mixed finiteelements for the linear elastodynamic problem. (English summary) 2003d:65089

Becker, Jurgen (with Grun, Gunther; Lenz, Martin; Rumpf, Martin) Numericalmethods for fourth order nonlinear degenerate diffusion problems. (English summary)2003m:65172

Behiry, S. H. A wavelet-Galerkinmethod for inhomogeneous diffusion equations subject tomass specification. (English summary) 2003k:65113

Benammou, Samir (with Omrani, Khaled) A finite element method for the Sivashinskyequation. (English summary) 2003c:65089

Bergamaschi, L. seeMazzia, A. et al., 2003h:65135Blasco, Jordi see Codina, Ramon, 2003k:65115Blowey, James F. see Barrett, John W.1, 2003a:65078 and 2003b:65099

Bonvin, John (with Picasso, Marco) A finite element/Monte-Carlomethod for polymerdilute solutions. (English summary) 2003m:65173

Chen, Guang Nan see Li, XiangGui et al., 2003j:65090Chen, Han-Taw (with Liu, Kuo-Chi) Analysis of non-Fickian diffusion problems in acomposite medium. (English summary) 2003k:65114

Chen, Harry Y. H. see Sheu, Tony W. H., 2003f:65170Chen, Ying6 (with Lin, Jia Fu; Lin, Qun1) Superconvergence of discontinuous Galerkinmethod for nonstationary hyperbolic equation. (English summary) 2003c:65090

Chen, Zhangxin Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems. (English summary) 2003b:65100

Chiavassa, G. (with Guichaoua, M.; Liandrat, J.) Two adaptive wavelet algorithms fornon-linear parabolic partial differential equations. (English summary) 2003c:65091

Cho, Chung-Ki A new approach for numerical identification of free boundary. (Englishsummary) 2003j:65089

Christov, C. I. see Papanicolaou,N. C., 2003j:65093Chrysafinos, K. (with Hou, LiSheng) Error estimates for semidiscrete finite elementapproximations of linear and semilinear parabolic equations under minimal regularityassumptions. (English summary) 2003e:65175

Codina, Ramon (with Blasco, Jordi) Analysis of a stabilized finite element approximationof the transient convection-diffusion-reaction equation using orthogonal subscales.(English summary) 2003k:65115

Cozic, Marie-Isabelle see Le Roux, Marie Noelle et al., 2003d:65092Csık, Arpad (with Deconinck, Herman) Space-time residual distribution schemes forhyperbolic conservation laws on unstructured linear finite elements. (English summary)2003m:65174

Cui, Ming Mixed finite element method–Galerkin alternating direction finite elementmethod for nonstationary conduction convection problems. (Chinese. English summary)2003k:65116

(with Liang, Dong) Numerical methods for miscible displacement in porous mediainfluenced by mobile water and immobile water. (English summary) 2003m:65175


Dai, Pei Liang (with Huang, Xiu Qin) Lumped-mass nonconforming finite element meth-ods for a parabolic problem. (Chinese. English and Chinese summaries) 2003k:65118

Dargush, G. F. (with Grigoriev, M. M.) Higher-order boundary element methodsfor transient diffusion problems. II. Singular flux formulation. (English summary)2003g:65114

see also Grigoriev, M. M., 2003g:65116Dawson, C. N. (with Aizinger, Vadym) The local discontinuous Galerkin method foradvection-diffusion equations arising in groundwater and surface water applications.(English summary) (see 2003j:76006)(with Proft, Jennifer) Coupling of continuous and discontinuous Galerkin methods fortransport problems. (English summary) 2003d:65090

see alsoMazzia, A. et al., 2003h:65135Deconinck, Herman see Csık, Arpad, 2003m:65174

Deıneka, V. S. see Smyk, M. V., (2003b:00017)Djambazov, Georgi S. (with Lai, Choi-Hong; Pericleous, Koulis A.; Wang, Zong-Kang)A defect correction method for multi-scale problems in computational aeroacoustics.(English summary) (see 2003k:65167)

Dolejsı, Vıt (with Feistauer, Miloslav; Schwab, Christoph) A finite volume discontinuousGalerkin scheme for nonlinear convection-diffusion problems. (English summary)2003d:65091

Donea, Jean see Huerta, Antonio et al.

Du, Qi Kui see Zhu, Chang-jie, 2003c:65098Duan, Huo Yuan (with Liang, Guo Ping) A new stabilized finite element method forsolving the Stokes and Navier-Stokes equations. I. The linear case. (English summary)


2003a:65079

(with Liang, Guo Ping) A new stabilized finite element method for solving the Stokesand Navier-Stokes equations. II. The nonlinear case. (English summary) 2003a:65080

Duong, Thanh-Binh see Tran, Thanh, 2003k:65125Dupont, Todd F. see Ayati, Bruce P., 2003k:65112Eck, Christof (with Knabner, Peter) A two-scale method for liquid-solid phase transitionswith dendritic microstructure. (English summary) (see 2003b:65004)

El-Gamel, Mohamed (with Zayed, Ahmed I.) A comparison between the wavelet-Galerkinand the sinc-Galerkin methods in solving nonhomogeneous heat equations. (Englishsummary) 2003m:65176

Engquist, Bjorn (with Tornberg, Anna-Karin) A finite element based level-set method formultiphase flows. (English summary) (see 2003f:65006)

Erhel, Jocelyne see Hoteit, H. et al., 2003m:65181

Ewing, Richard E. (with Lin, Yan-ping; Sun, Tong; Wang, Jun Ping1; Zhang, Shu Hua3)Sharp L2-error estimates and superconvergence of mixed finite element methods for non-Fickian flows in porous media. (English summary) 2003m:65177see alsoWang,Hong9 et al., 2003g:65122

Fairweather, Graeme see Pani, Amiya K., 2003e:65179 and 2003m:65187Feistauer,Miloslav see Dolejsı, Vıt et al., 2003d:65091Feng, Lian Hai A kind of finite volume element scheme for solving one-dimensionalparabolic partial differential equations. (Chinese. English and Chinese summaries)2003i:65087

Feng, Tao Mixed finite element method and finite difference streamline diffusion methodfor incompressible miscible displacement in porous media. (Chinese. English and Chinesesummaries) 2003m:65178

Ferragut,Luis (with Asensio, Isabel) Mixed finite element methods for a class of nonlinearreaction diffusion problems. (English summary) 2003h:65132

Flaherty, Joseph E. (with Krivodonova, Lilia; Remacle, Jean-Francois; Shephard, Mark S.)Aspects of discontinuous Galerkin methods for hyperbolic conservation laws. (Englishsummary) 2003e:65176

Formaggia, Luca (with Gerbeau, J.-F.; Nobile, Fabio; Quarteroni, Alfio) Numericaltreatment of defective boundary conditions for the Navier-Stokes equations. (Englishsummary) 2003g:65115

Garcıa-Archilla, Bosco (with Novo, Julia; Titi, Edriss S.) Postprocessing Fourier spectralmethods: the case of smooth solutions. (English summary) 2003m:65179

Geijselaers, H. J. M. (with Huetink, J.) A second order discontinuous Galerkin method foradvection on unstructured triangular meshes. (English summary)

Gerbeau, J.-F. see Formaggia, Luca et al., 2003g:65115Gokieli, Maria (withMarcinkowski, Leszek) Numerical solution of coupled Cahn-Hilliardand Allen-Cahn equations with logarithmic entropy. (English summary) 2003h:65133

Gonzalez-Vida, Jose Manuel (with Pares, Carlos) A Lagrangian finite element algorithmfor the numerical solution of one-dimensional shallow water equations. (Spanish. Englishand Spanish summaries)

Gori Nicolo-Amati, Laura (with Pitolli, Francesca; Pezza, Laura) On the Galerkin methodbased on a particular class of scaling functions. (English summary) 2003b:65101

Grigoriev, M. M. (with Dargush, G. F.) Higher-order boundary element methodsfor transient diffusion problems. I. Bounded flux formulation. (English summary)2003g:65116see also Dargush, G. F., 2003g:65114

Grun, Gunther see Becker, Jurgen et al., 2003m:65172

Gu, Hai-ming (withWu, Xiaonan) Least-squares mixed finite element methods for theincompressible Navier-Stokes equations. (English summary) 2003c:65092

Guichaoua,M. see Chiavassa, G. et al., 2003c:65091Handlovicova,A. (withMikula, Karol) Analysis of a semidiscrete scheme for solving imagesmoothing equation of mean curvature flow type. (English summary) 2003m:65180

Hoffmann, Karl-Heinz1 see Voigt, Alexander et al., (2003b:65004)Hong, Tae-Kyung (with Kennett, B. L. N.) On a wavelet-basedmethod for the numericalsimulation of wave propagation. (English summary) 2003k:65119

Hoppe, RonaldH. W. (with Nash, E. M.) A combined spectral element/finite elementapproach to the numerical solution of a nonlinear evolution equation describingamorphous surface growth of thin films. (English summary) 2003g:65117

Hoteit, H. (withMose, R.; Philippe, Bernard; Ackerer, Philippe; Erhel, Jocelyne) Themaximum principle violations of the mixed-hybrid finite-element method applied todiffusion equations. (English summary) 2003m:65181

Hou, LiSheng see Chrysafinos, K., 2003e:65175Hu, Fang Q. (with Atkins, Harold L.) Eigensolution analysis of the discontinuousGalerkin method with nonuniform grids. I. One space dimension. (English summary)2003m:65182

Huang, Xiu Qin see Dai, Pei Liang, 2003k:65118Huerta, Antonio (with Donea, Jean) Time-accurate solution of stabilized convection-diffusion-reaction equations. I. Time and space discretization. (English summary)(with Roig, Bernardino; Donea, Jean) Time-accurate solution of stabilized convection-diffusion-reaction equations. II. Accuracy analysis and examples. (English summary)

Huetink, J. see Geijselaers, H. J. M.

Hussaini,M. Y. see Stanescu,Dan et al., 2003a:65082Jackson, Dennis Iterative finite element approximations of solutions to parabolic equationswith nonlocal conditions. 2003h:65134

Jenkins, Eleanor W. (with Riviere, Beatrice; Wheeler, Mary Fanett) A priori errorestimates for mixed finite element approximations of the acoustic wave equation. (Englishsummary) 2003k:65120

Joly, Patrick see Becache, Eliane et al., 2003d:65089Kennett,B. L. N. see Hong, Tae-Kyung, 2003k:65119Kessler, D. (with Scheid, Jean-Francois) A priori error estimates of a finite-elementmethodfor an isothermal phase-field model related to the solidification process of a binary alloy.(English summary) 2003e:65177

Kimura, Masato (with Notsu, Hirofumi) A level set method using the signed distancefunction. (English summary) 2003i:65088

Knabner, Peter see Eck, Christof, (2003b:65004)Kohno,H. (with Tanahashi, T.) Finite element simulation of single crystal growth processusing GSMAC method. (English summary)

Kopriva, D. A. see Stanescu, Dan et al., 2003a:65082Krivodonova, Lilia see Flaherty, Joseph E. et al., 2003e:65176Kruger, O. (with Picasso, Marco; Scheid, Jean-Francois) A posteriori error estimatesand adaptive finite elements for a nonlinear parabolic problem related to solidification.(English summary) 2003m:65183

Kunisch, Karl (with Volkwein, Stefan) Galerkin proper orthogonal decompositionmethods for parabolic problems. (English summary) 2003g:65118

Lai, Choi-Hong see Djambazov, Georgi S. et al., (2003k:65167)Lee, Hyun Young (with Ohm, Mi Ray; Shin, Jun Yong) Fully discrete approximation for aquasilinear Stefan problem with forcing term. (English summary) 2003g:65119

see also Ohm, Mi Ray et al., 2003m:65186

Lenferink, Wim A second order scheme for a time-dependent, singularly perturbedconvection-diffusion equation. (English summary) 2003b:65102

Lenz, Martin see Becker, Jurgen et al., 2003m:65172

Le Roux, Marie Noelle (with Cozic, Marie-Isabelle; Loubere, Raphael) Analysis ofcompletely discrete finite element method for a free boundary diffusion problem withabsorption. (English summary) 2003d:65092

Li, Jiequan (with Lukacova-Medvid′ova,M.; Warnecke, Gerald G.) Evolution Galerkinschemes applied to two-dimensional Riemann problems for the wave equation system.(English summary) 2003m:65184

Li, Qian1 Strongly superconvergence for finite element approximations to integro-differential problems. (Chinese. English summary) 2003k:65121

Li, Ruo (with Tang, Tao; Zhang, Ping Wen) A moving mesh finite element algorithm forsingular problems in two and three space dimensions. (English summary) 2003c:65093

Li, Xiang Gui (with Chen, Guang Nan; Yu, Xi Jun) Finite element methods for Hamilton-Jacobi equations. (Chinese. English and Chinese summaries) 2003j:65090

Liandrat, J. see Chiavassa, G. et al., 2003c:65091Liang, Dong see Cui, Ming, 2003m:65175Liang, Guo Ping see Duan, Huo Yuan, 2003a:65079; 2003a:65080 andMa, Chang Feng et

al., 2003m:65185Lin, Jia Fu see Chen, Ying6 et al., 2003c:65090Lin, Qun1 see Chen, Ying6 et al., 2003c:65090Lin, Yan-ping see Ewing, Richard E. et al., 2003m:65177Lions, Jacques-Louis (withMetral, Jerome; Vacus, Olivier) Well-posed absorbing layer forhyperbolic problems. (English summary) 2003j:65091

Liu, Kuo-Chi see Chen, Han-Taw, 2003k:65114Liu, Shao Peng seeMa, Chang Feng et al., 2003m:65185Liu, Xiao Hua1 (with Liu, Zhibin) The finite element methods with moving mesh fornonlinear parabolic equation. (Chinese. English and Chinese summaries)

Liu, Yun Xian Galerkin alternating-directionmethods and analyses for the three-dimensional semiconductor problem with heat-conduction. (Chinese. English summary)2003d:65093Alternating direction finite element methods for semiconductor problem on nonrectangu-lar domains. (Chinese. English and Chinese summaries) 2003k:65122

Liu, Zhibin see Liu, Xiao Hua1

Loubere, Raphael see Le Roux, Marie Noelle et al., 2003d:65092Lowrie, R. B. (withMorel, Jim Emanuel) Methods for hyperbolic systems with stiffrelaxation. (English summary) 2003j:65092see also Rider, William J.

Lu, Tong Chao see Sun, Wen Tao

Lukacova-Medvid′ova,M. see Li, Jiequan et al., 2003m:65184Lyons, StephenL. seeWang, Hong9 et al., 2003g:65122Ma, Chang Feng (with Liang, Guo Ping; Liu, Shao Peng) Error analysis of a finiteelement projection method for a class of wave equations. (Chinese. English summary)2003m:65185

Majidi, Mohammad (with Starke, Gerhard) Least-squares Galerkin methods for parabolicproblems. II. The fully discrete case and adaptive algorithms. (English summary)2003e:65178

Marcinkowski, Leszek see Gokieli, Maria, 2003h:65133Mazzia, A. (with Bergamaschi, L.; Dawson, C. N.; Putti, M.) Godunov mixed methods ontriangular grids for advection-dispersion equations. (English summary) 2003h:65135

Mbazi, Donatien Donald Error analysis of the finite element approximations for hyperbolicpartial integro-differential equations. (Chinese. English and Chinese summaries)2003c:65094

Metral, Jerome see Lions, Jacques-Louis et al., 2003j:65091Mikula, Karol see Handlovicova,A., 2003m:65180Morel, Jim Emanuel see Lowrie, R. B., 2003j:65092Mose, R. see Hoteit, H. et al., 2003m:65181Nair, Pradeepa (with Pani, Amiya K.) Finite element approximations to an evolutionaryvariational inequality with a Volterra term. (English summary) 2003k:65123

Nakagiri, Shin-Ichi seeWang,Quan-Fang

Nash, E. M. see Hoppe, RonaldH. W., 2003g:65117Nithiarasu, P. (with Seetharamu, K. N.; Sundararajan, T.) Finite element modellingof flow, heat and mass transfer in fluid saturated porous media. (English summary)2003f:65169

Nitschkowski, J. see Voigt, Alexander et al., (2003b:65004)Noack, Antje Convergence of Rothe’s method for smoothed Stefan problems. 2003g:65120

Nobile, Fabio see Formaggia, Luca et al., 2003g:65115Notsu, Hirofumi see Kimura, Masato, 2003i:65088Novo, Julia see Garcıa-Archilla, Bosco et al., 2003m:65179

Ohm, Mi Ray (with Shin, Jun Yong; Lee, Hyun Young) Error estimates for a single phasequasilinear Stefan problem with a forcing term. (English summary) 2003m:65186see also Lee, Hyun Young et al., 2003g:65119

Omrani, Khaled see Benammou, Samir, 2003c:65089Pani, Amiya K. (with Fairweather, Graeme) H 1-Galerkin mixed finite element methods forparabolic partial integro-differential equations. (English summary) 2003e:65179

(with Fairweather, Graeme) An H 1-Galerkin mixed finite element method for anevolution equation with a positive-typememory term. (English summary) 2003m:65187see also Nair, Pradeepa, 2003k:65123

Papanicolaou,N. C. (with Christov, C. I.) Galerkin spectral method for higher-order


boundary value problems arising in thermal convection. (English summary)(with Christov, C. I.) A Galerkin spectral method for thermo-convectionboundary valueproblems. (English summary) 2003j:65093

Papukashvili, N. (with Peradze, D. G.) Galerkin’s method for a nonlinear equation ofoscillation.

Pares, Carlos see Gonzalez-Vida, Jose ManuelPeradze, D. G. Jacobi nonlinear iteration method for a discrete Kirchhoff system. (Englishand Georgian summaries) 2003c:65095

see also Papukashvili, N.

Pericleous, Koulis A. see Djambazov, Georgi S. et al., (2003k:65167)Pezza, Laura see Gori Nicolo-Amati, Laura et al., 2003b:65101Philippe, Bernard see Hoteit, H. et al., 2003m:65181Picasso, Marco see Bonvin, John, 2003m:65173 and Kruger, O. et al., 2003m:65183

Pitolli, Francesca see Gori Nicolo-Amati, Laura et al., 2003b:65101Pop, Iuliu Sorin Error estimates for a time discretizationmethod for the Richards’ equation.(English summary) 2003h:65136

Proft, Jennifer see Dawson, C. N., 2003d:65090Putti, M. seeMazzia, A. et al., 2003h:65135Qin, Guan seeWang, Hong9 et al., 2003g:65122Quarteroni, Alfio (with Veneziani, Alessandro; Zunino, Paolo) A domain decompositionmethod for advection-diffusion processes with application to blood solutes. (Englishsummary) 2003h:65137see also Formaggia, Luca et al., 2003g:65115

Raslan, K. R. A collocation solution for Burgers equation using quadratic B-spline finiteelements. (English summary)

Remacle, Jean-Francois see Flaherty, Joseph E. et al., 2003e:65176Richter, Gerard R. On the stability of a family of finite element methods for hyperbolicproblems. (English summary) 2003b:65103

Rider, William J. (with Lowrie, R. B.) The use of classical Lax-Friedrichs Riemann solverswith discontinuous Galerkin methods. (English summary)

Riviere, Beatrice see Jenkins, Eleanor W. et al., 2003k:65120Roig, Bernardino see Huerta, Antonio et al.Rui, Hong Xing Symmetric mixed covolume methods for parabolic problems. (Englishsummary) 2003g:65121

Rumpf, Martin see Becker, Jurgen et al., 2003m:65172

Safjan,Andrzej J. On solving structural acoustics problems in time-domain. (Englishsummary) 2003c:65096

Saito, Norikazu (with Suzuki, Takashi1) Numerical solutions for nonlinear semigroup anddegenerate parabolic equations.

Sanfelici, Simona Convergence of the Galerkin approximation of a degenerate evolutionproblem in electrocardiology. (English summary) 2003a:65081

Scheid, Jean-Francois see Kessler, D., 2003e:65177 and Kruger, O. et al., 2003m:65183Schwab, Christoph see Dolejsı, Vıt et al., 2003d:65091Seetharamu,K. N. see Nithiarasu, P. et al., 2003f:65169Semenov, Vitalii Viktorovich An analogue of the Faedo-Galerkin method for pseu-doparabolic equations. (Ukrainian. English and Ukrainian summaries) 2003k:65124

Shephard,Mark S. see Flaherty, Joseph E. et al., 2003e:65176Sheu, Tony W. H. (with Chen, Harry Y. H.) A multi-dimensional monotonic finite elementmodel for solving the convection-diffusion-reaction equation. (English summary)2003f:65170

Shin, Jun Yong see Lee, Hyun Young et al., 2003g:65119 and Ohm, Mi Ray et al.,2003m:65186

Shu, Chi-Wang see Yan, Jue, 2003e:65181Sinha, Rajen Kumar Finite element approximations with quadrature for second-orderhyperbolic equations. (English summary) 2003e:65180

Smyk, M. V. (with Deıneka, V. S.) Highly accurate algorithms for a hyperbolic-typeequation with conjugation conditions of viscous friction type. (Russian. English, Russianand Ukrainian summaries) (see 2003b:00017)

Stanescu,Dan (with Kopriva, D. A.; Hussaini, M. Y.) Dispersion analysis for discontinu-ous spectral element methods. (English summary) 2003a:65082

Starke, Gerhard seeMajidi, Mohammad, 2003e:65178Sun, Tong see Ewing, Richard E. et al., 2003m:65177

Sun,Wen Tao (with Lu, Tong Chao) A maximum principle satisfied numerical methodfor compressible miscible displacement in porous media. (Chinese. English and Chinesesummaries)

Sundararajan,T. see Nithiarasu, P. et al., 2003f:65169Suzuki, Takashi1 see Saito, NorikazuSwann, H. On approximating the solution of the non-stationary Stokes equations using thecell discretization algorithm. (English summary) 2003j:65094

Tanahashi,T. see Kohno,H.

Tang, Tao see Li, Ruo et al., 2003c:65093Titi, Edriss S. see Garcıa-Archilla, Bosco et al., 2003m:65179

Tornberg, Anna-Karin see Engquist, Bjorn, (2003f:65006)Tran, Thanh (with Duong, Thanh-Binh) A complete analysis for some a posteriori errorestimates with the finite element method of lines for a nonlinear parabolic equation.(English summary) 2003k:65125

Tsogka, Chrysoula see Becache, Eliane et al., 2003d:65089Vacus, Olivier see Lions, Jacques-Louis et al., 2003j:65091Vanselow, R. Error estimates of a FEM with lumping for parabolic PDEs. (Englishsummary) 2003d:65094

Veeser, Andreas Stability of flat interfaces during semidiscrete solidification. (Englishsummary) 2003i:65089

Veneziani, Alessandro see Quarteroni, Alfio et al., 2003h:65137Venutelli,Maurizio A fractional-step Pade-Galerkinmodel for dam-break flow simulation.(English summary) 2003i:65090

Voigt, Alexander (with Nitschkowski, J.; Weichmann, Ch.; Hoffmann, Karl-Heinz1)Controlling point defects in single silicon crystals grown by the Czochralski method.(English summary) (see 2003b:65004)

Volkwein, Stefan see Kunisch, Karl, 2003g:65118Wang,Hong9 (with Zhao, W.; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan) An

ELLAM simulator for highly compressible flow in porous media with multiple wells.(English summary) 2003g:65122

Wang, Jun Ping1 see Ewing, Richard E. et al., 2003m:65177

Wang, Quan-Fang (with Nakagiri, Shin-Ichi) Weak solutions and their numerical analysisof nonlinear parabolic equations of fourth order based on FEM.

Wang, Zong-Kang seeDjambazov, Georgi S. et al., (2003k:65167)Warnecke, Gerald G. see Li, Jiequan et al., 2003m:65184Weichmann, Ch. see Voigt, Alexander et al., (2003b:65004)Wheeler, Mary Fanett see Jenkins, Eleanor W. et al., 2003k:65120Wilderotter, Olga Adaptive Finite-Elemente-Methode fur singulare parabolischeProbleme. (German. German summary) [Adaptive finite element method for singularparabolic problems] 2003i:65091

Wu, Xiaonan see Gu, Hai-ming, 2003c:65092Wu, YongHong see Yu, Xi Jun, 2003f:65171Yan, Jue (with Shu, Chi-Wang) A local discontinuous Galerkin method for KdV typeequations. (English summary) 2003e:65181

Yang, Dan Ping see Zhang, Zheng Ru, 2003j:65095Yang, Qing3 A moving-grid finite element method along characteristics for semiconductordevices of heat conduction. (Chinese. English and Chinese summaries) 2003g:65123

Yu, Xi Jun A Taylor-Galerkin finite element method for a one-dimensional hyperbolicsystem of conservational laws. (Chinese. English summary) 2003c:65097

(withWu, Yong Hong) A Taylor-Galerkin finite element method for one-dimensionalhyperbolic conservation laws. (English summary) 2003f:65171

see also Li, Xiang Gui et al., 2003j:65090Zayed, Ahmed I. see El-Gamel, Mohamed, 2003m:65176Zhang, Ping Wen see Li, Ruo et al., 2003c:65093Zhang, Shu Hua3 see Ewing, Richard E. et al., 2003m:65177

Zhang, Tie The numerical methods for American option pricing. (Chinese. English andChinese summaries) 2003h:65138

Zhang, Zheng Ru (with Yang, Dan Ping) C-N difference streamline diffusion method forthree-dimensional semiconductor problem with heat-conduction and numerical analysis.(Chinese. English and Chinese summaries) 2003j:65095

Zhang, Zhi Yue The alternating-direction implicit characteristic finite element methodsfor the three-dimensional generalized nerve conduction equation. (English summary)2003f:65172

The new ADI characteristics finite element methods for the three-dimensionalgeneralized nerve conduction equation. (English summary) 2003k:65126

Zhao, W. seeWang, Hong9 et al., 2003g:65122Zhu, Chang-jie (with Du, Qi Kui) Natural boundary element method for parabolicequations in an unbounded domain. (English and Chinese summaries) 2003c:65098

Zunino, Paolo see Quarteroni, Alfio et al., 2003h:65137

Items with secondary classifications in 65M60Abbassi, H. (with Turki, S.; Ben Nasrallah, S.) Interpolation functions in control volumefinite element method. (English summary)

Abdel-Hamid, B. see Hashish, H. et al., 2003m:65167Achdou, Yves (with Tchou, Nicoletta) Variational analysis for the Black and Scholesequation with stochastic volatility. (English summary) 2003g:91050

Ackerer, Philippe see Hoteit, H. et al., 2003h:76091 and Chavent,Guy et al., 2003m:65201


Aksan, E. N. see Ozis, T. et al., 2003k:76088Alberty, Jochen (with Carstensen, Carsten) Discontinuous Galerkin time discretization inelastoplasticity: motivation, numerical algorithms, and applications. (English summary)2003h:74076

Almeida, Cesar (with Douglas, Jim, Jr.; Pereira, Felipe; Roman, Luis Carlos; Yeh, Li-Ming)Algorithmic aspects of a locally conservative Eulerian-Lagrangianmethod for transport-dominated diffusive systems. 2003e:76102


Alvarez-Vazquez,L. J. (withMartınez Varela, A. M.; Rodrıguez, Carmen; VazquezMendez, M. E.) A wastewater treatment problem: study of the numerical convergence.(English summary) 2003h:65122

Anh, V. V. see Liu, Fa Wang et al., 2003e:65165Bankov, N. G. (with Kaschiev, M. S.; Vinitskiı, S. I.) Adaptivemethod for solving the time-dependent Schrodinger equation. (English summary) 2003k:65108

Bansch, Eberhard (withMikula, Karol) Adaptivity in 3D image processing. (Englishsummary) 2003h:94001

Barrett, John W.1 (with Nurnberg, Robert) Finite-element approximation of a nonlineardegenerate parabolic system describing bacterial pattern formation. (English summary)2003g:35104

Bathe, Klaus Jurgen (with Pontaza, Juan P.) A flow-condition-based interpolation mixedfinite element procedure for higher Reynolds number fluid flows. (English summary)2003b:76115

Behiry, S. H. see Hashish, H. et al., 2003m:65167

Benhamadouche,S. (with Laurence, Dominique) Global kinetic energy conservation withunstructured meshes. (English summary)

Ben Nasrallah, S. see Abbassi, H. et al.

Bensaada, Mohammed (with Esselaoui, Driss) Stability and convergence for modifiedstreamline upwind/Petrov-Galerkinmethod for transport equations. (English summary)(see 2003k:86001)

Bertrand, Francois (with Tanguy, Philippe A.) Krylov-based Uzawa algorithms for thesolution of the Stokes equations using discontinuous-pressure tetrahedral finite elements.(English summary) 2003g:76072

Berzins, Martin seeWalkley, Mark, 2003b:76117Beylkin, Gregory see Alpert, Bradley et al., 2003i:65083Biava, M. (withModugno, D.; Quartapelle, L.; Stoppelli, M.) Weak ?-@ formulation forunsteady flows in 2D multiply connected domains. (English summary) 2003b:76125

Blomker, Dirk (with Gugg, Christoph; Raible, Martin) Thin-film-growth models:roughness and correlation functions. (English summary) 2003k:60148


Borden, Christian see Sandu,Adrian

Bristeau,M. O. (with Girault, Vivette; Glowinski, Roland; Pan, Tsorng-Whay; Periaux,J.; Xiang, Y.) On a fictitious domain method for flow and wave problems. (Englishsummary) (see 2003f:65005)

Califano,F. seeMangeney-Castelnau,Anne et al., 2003f:82091Calvo, N. (with Durany, J.; Vazquez Cendon, C.) Numerical approach of thermomechan-ical coupled problems with moving boundaries in theoretical glaciology. (English sum-mary) 2003a:86008

Caraeni, D. (with Caraeni, M.; Fuchs, Laszlo2) Parallel multidimensional residualdistribution solver for turbulent flow simulations. (English summary) (see 2003b:76005)

Caraeni,M. see Caraeni, D. et al., (2003b:76005)Carey, Graham F. seeMacKinnon,Robert J., 2003k:76087do Carmo Coimbra, Maria (with Sereno, Carlos; Rodrigues, Alırio) A moving finiteelement method for the solution of two-dimensional time-dependent models. (Englishsummary)

Carstensen, Carsten see Alberty, Jochen, 2003h:74076Castillo, Paul (with Cockburn, Bernardo; Schotzau, Dominik; Schwab, Christoph)Optimal a priori error estimates for the hp-version of the local discontinuous Galerkinmethod for convection-diffusion problems. (English summary) 2003e:65214

Castro, Rigoberto G. Sanabria (withMalta, Sandra M. C.; Loula, Abimael F. D.; Landau,Luiz) Numerical analysis of space-time finite element formulations for miscibledisplacements. (English summary) 2003b:76116

Cavazzoni,C. seeMangeney-Castelnau,Anne et al., 2003f:82091Chacon Rebollo, Tomas (with Rodrıguez Gomez, David) Numerical solution of theprimitive equations using a penalty stabilized method. (English summary) (see2003k:86001)

Chavent,Guy (with Younes, Anis; Ackerer, Philippe) On the finite volume reformulationof the mixed finite element method for elliptic and parabolic PDE on triangles. (Englishsummary) 2003m:65201

Chen,Wei7 Implicit-explicit multistep finite element methods for a semiconductor devicewith heat conduction. (English and Chinese summaries) 2003g:80004

Chen, Zhangxin (with Huan, Guanren; Li, Baoyan) Mixed finite element methodsfor multiphase flow in petroleum reservoirs with multiple wells. (English summary)2003e:76073

(with Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M.) Degenerate two-phase incompressible flow. V. Characteristic finite element methods. (English summary)2003m:76106

Cockburn, Bernardo see Castillo, Paul et al., 2003e:65214Codina, Ramon Stabilized finite element approximation of transient incompressible flowsusing orthogonal subscales. (English summary) 2003h:76086

Copetti,M. I. M. A one-dimensional thermoelastic problem with unilateral constraint.(English summary) 2003d:74020


Dai, Jia Zun see Dai, Pei Liang, 2003e:76075Dai, Pei Liang (with Dai, Jia Zun) The Galerkin finite element method for Bingham-fluid.(Chinese. English summary) 2003e:76075

Dawson, C. N. (with Proft, Jennifer) Discontinuous and coupled continu-ous/discontinuous Galerkin methods for the shallow water equations. (Englishsummary) 2003j:76074

Dedner, A. (with Vollmoller, P.) An adaptive higher order method for solving the radiationtransport equation on unstructured grids. (English summary) 2003b:85001

Discacciati,Marco (withMiglio, Edie; Quarteroni, Alfio) Mathematical and numericalmodels for coupling surface and groundwater flows. (English summary) 2003h:76087

Doblare, M. see Ferreira, Chelo, (2003a:00031)Dolejsı, Vıt (with Feistauer, Miloslav; Felcman, Jirı; Klikova, Alice) Error estimates forbarycentric finite volumes combined with nonconforming finite elements applied tononlinear convection-diffusion problems. (English summary) 2003k:65100

Douglas, Jim, Jr. see Almeida, Cesar et al., 2003e:76102Du, Qiang (with Zhang, Tianyu) Numerical approximation of some linear stochasticpartial differential equations driven by special additive noises. (English summary)2003m:65013

Duran, R. G. see Acosta, Gabriel et al., 2003k:65102Durany, J. see Calvo, N. et al., 2003a:86008Dziuk, Gerhard (with Kuwert, Ernst; Schatzle, Reiner) Evolution of elastic curves in R

n:existence and computation. (English summary) 2003f:53117

Eck, Christof (with Knabner, Peter; Korotov, Sergey) A two-scale method for thecomputation of solid-liquid phase transitions with dendritic microstructure. (Englishsummary) 2003b:80007

Erhel, Jocelyne see Hoteit, H. et al., 2003h:76091Esselaoui, Driss see Bensaada,Mohammed, (2003k:86001)Ethier, C. R. see Kaazempur-Mofrad,M. R. et al.

Ewing, Richard E. (withWang, Jun Ping1; Weekes, Suzanne L.; Yang, Yongjun) Anumerical simulation of multicomponent gas flow in porous media by projectionmethods. (English summary) 2003e:76106see also Chen, Zhangxin et al., 2003m:76106

Feistauer,Miloslav (with Najzar, Karel; Svadlenka, Karel) On a parabolic problem withnonlinear Newton boundary conditions. (English summary) 2003f:35174

see also Dolejsı, Vıt et al., 2003k:65100Felcman, Jirı see Dolejsı, Vıt et al., 2003k:65100Feng, Zhen Xing (with Li, Zheng Xiu; Tang, Shao Wu) Analytical treatment of thefundamental solution to a diffusion equation. (Chinese. English and Chinese summaries)2003d:35145

Ferreira, Chelo (with Doblare, M.) Conservative algorithms and their application to thesimulation of systems in mechanical engineering. (Spanish. English summary) (see2003a:00031)

Ferreira, Raul (with Groisman, Pablo; Rossi, Julio Daniel) Numerical blow-up fora nonlinear problem with a nonlinear boundary condition. (English summary)2003f:35012

de Frutos, Javier (with Novo, Julia) A posteriori error estimation with the p-version of the

finite element method for nonlinear parabolic differential equations. (English summary)2003i:65080

Fuchs, Laszlo2 see Caraeni, D. et al., (2003b:76005)Fusai, Gianluca (with Sanfelici, Simona; Tagliani, Aldo) Practical problems in thenumerical solution of PDE’s in finance. (English summary) 2003j:91058

Gabbouhy,Mostafa (withMaslouhi, A.; Mghazli, Zoubida; Saadi, Z.) Modelisationnumerique du transport de solute dans la zone non saturee d’un sol tres sableux. (Englishand French summaries) [Numerical model of solute transport in the unsaturated zone ofvery sandy soil] 2003m:76156

Galkin, V. A. (with Zabud′ko, M. A.) Analytic and numerical solutions of nonlinear heatequations and kinetic equations for modeling crystallization. (Russian. English andRussian summaries) 2003a:35208

Gartling, D. K. see Reddy, J. N., 2003a:80009Gaul, Lothar see Schmidt, Andre

Gines, D. see Alpert, Bradley et al., 2003i:65083Giraldo, F. X. (with Hesthaven, J. S.; Warburton, T.) Nodal high-order discontinuousGalerkin methods for the spherical shallow water equations. (English summary)2003g:86004

Girault, Vivette (with Lions, Jacques-Louis) Two-grid finite-element schemes for thetransient Navier-Stokes problem. (English summary) 2003a:76078

see also Bristeau,M. O. et al., (2003f:65005)Glowinski, Roland see Pan, Tsorng-Whay, 2003g:76088 and Bristeau, M. O. et al.,(2003f:65005)

Gockenbach,Mark S. Partial differential equations. 2003m:35001

Groisman, Pablo see Ferreira, Raul et al., 2003f:35012Grøttum, Per see Lines, Glenn Terje et al.

Guermond, Jean Luc (withMinev, Peter D.) Mixed finite element approximation of anMHD problem involving conducting and insulating regions: the 2D case. (Englishsummary) 2003e:76076

Gugg, Christoph see Blomker, Dirk et al., 2003k:60148Guillen Gonzalez, FranciscoM. Numerical analysis of the primitive equations of the ocean.(Spanish. Spanish summary) 2003k:86002

(with Rodrıguiez Galvan, Rafael) Numerical approximation of the 2D primitiveequations by a projection scheme. (Spanish. Spanish summary) (see 2003k:86001)

Hameyer, Kay see Henrotte, F., (2003f:78001)Han, Hou-de (with Huang, Zhongyi) Exact and approximating boundary conditions forthe parabolic problems on unbounded domains. (English summary) 2003g:35101

Hansbo, Peter see Larsson, Fredrik et al., 2003k:74060Hashish, H. (with Behiry, S. H.; Abdel-Hamid, B.) A wavelet-Galerkin solution for thebackward heat conduction equations. (English summary) 2003m:65167

He, Yinnian Coupling boundary integral and finite element methods for the Oseen coupledproblem. (English summary) 2003i:76026

(with Li, Kai Tai) Stability of Galerkin and inertial algorithms with variable time stepsize. (English summary) 2003f:37157

Henrotte, F. (with Hameyer, Kay) A mathematical framework for the finite elementmodelling of electromechanical problems. (English summary) (see 2003f:78001)

Hesthaven, J. S. (withWarburton, T.) Nodal high-order methods on unstructured grids. I.Time-domain solution of Maxwell’s equations. (English summary) 2003f:78034

see also Giraldo, F. X. et al., 2003g:86004Hetu, J.-F. see Ilinca, F., 2003i:80015Hinze, Michael (with Kunisch, Karl) Newton’s method for tracking type control of theinstationary Navier-Stokes equations. (English summary) (see 2003f:65007)

Hlavacek, Ivan Worst scenario approach for elastoplasticitywith hardening and uncertaininput data. (English and German summaries) 2003h:74015

Hoffman, Johan (with Johnson, Claes) Adaptive finite element methods for incompressiblefluid flow. (English summary) 2003m:76108

Holstad, Astrid (with Lie, Ivar) Transparent boundary conditions for the shallow waterequations with a mixed finite element formulation. (English summary) 2003m:76109

Hon, Yiu-Chung (with Zhang, Jian1; Zhou, Xu) Threshold of global existence for 3-Dattractivenonlinear Schrodinger equations under confined potentials. (English summary)2003c:35148

Hoteit, H. (with Erhel, Jocelyne; Mose, R.; Philippe, Bernard; Ackerer, Philippe)Numerical reliability for mixed methods applied to flow problems in porous media.(English summary) 2003h:76091

Houston, Paul see Suli, Endre, 2003k:65111Huan, Guanren seeChen, Zhangxin et al., 2003e:76073Huang, Zhongyi see Han, Hou-de, 2003g:35101Iliescu, Traian (with John, Volker; Layton, William J.) Convergence of finite elementapproximations of large eddy motion. (English summary) 2003h:76078

Ilinca, F. (with Hetu, J.-F.) Galerkin gradient least-squares formulations for transientconduction heat transfer. (English summary) 2003i:80015

Ispolov, Yu. G. (with Postoyalkina, E. A.; Shabrov, N. N.) Construction of methods andthe organization of algorithms for the numerical integration of a nonstationary heatconduction problem. (Russian. English and Russian summaries) 2003i:80014

Jecl, R. see Skerget, L., 2003m:76114

Jenkins, Eleanor W. see Peszynska, Małgorzata et al., 2003j:76077Jiang, Qiaoyuan see Chen, Zhangxin et al., 2003m:76106

Johansen, Per Michael seeWyller, John et al., 2003a:78008John, Volker see Iliescu, Traian et al., 2003h:76078Johnson, Claes see Hoffman, Johan, 2003m:76108

Jourdain, Benjamin (with Lelievre, Tony; Le Bris, Claude) Numerical analysis ofmicro-macro simulations of polymeric fluid flows: a simple case. (English summary)2003f:76080

Kaazempur-Mofrad,M. R. (withMinev, Peter D.; Ethier, C. R.) A characteristic/finiteelement algorithm for time-dependent 3-D advection-dominated transport usingunstructured grids. (English summary)

Kaschiev, M. S. see Bankov, N. G. et al., 2003k:65108Kikuchi, Fumio Numerical analysis of electromagnetic problems. (English summary)

2003d:78040

Klikova, Alice see Dolejsı, Vıt et al., 2003k:65100


Knabner, Peter (with Schneid, E.) Adaptive hybrid mixed finite element discretizationof instationary variably saturated flow in porous media. (English summary) (see2003b:65004)see also Eck, Christof et al., 2003b:80007

Kollmann,W. (withMcCallen, R. C.; Leone, J. M., Jr.) An examination of LES filteringwithin the finite element method. (English summary) 2003d:76096

Korotov, Sergey see Eck, Christof et al., 2003b:80007Kunisch, Karl (with Volkwein, Stefan) Galerkin proper orthogonal decompositionmethods for a general equation in fluid dynamics. (English summary) 2003g:65107see also Hinze,Michael, (2003f:65007)

Kuwert, Ernst see Dziuk, Gerhard et al., 2003f:53117Kuzmin, D. (with Turek, Stefan) Flux correction tools for finite elements. (Englishsummary) 2003a:76079

Landau,Luiz see Castro, Rigoberto G. Sanabria et al., 2003b:76116Larsson, Fredrik (with Hansbo, Peter; Runesson, Kenneth) Space-time finite elementsand an adaptive strategy for the coupled thermoelasticity problem. (English summary)2003k:74060

Laurence, Dominique see Benhamadouche,S.

Lawton, Wayne Global analysis of wavelet methods for Euler’s equation. (Englishsummary) 2003k:37143

Layton,William J. see Iliescu, Traian et al., 2003h:76078Le Bris, Claude see Jourdain, Benjamin et al., 2003f:76080Lelievre, Tony see Jourdain, Benjamin et al., 2003f:76080Leone, J. M., Jr. see Kollmann,W. et al., 2003d:76096Lew, Adrian (with Ortiz, Michael) Asynchronous variational integrators. (Englishsummary) 2003g:74035

Lezhnına, N. A. see Skopets′kiı, V. V. et al., 2003c:35156Li, Baoyan see Chen, Zhangxin et al., 2003e:76073Li, Kai Tai see He, Yinnian, 2003f:37157Li, Zheng Xiu see Feng, Zhen Xing et al., 2003d:35145Lie, Ivar see Holstad, Astrid, 2003m:76109Lines, Glenn Terje (with Grøttum, Per; Tveito, Aslak) Modeling the electrical activity ofthe heart: a bidomain model of the ventricles embedded in a torso. (English summary)

Lions, Jacques-Louis see Girault, Vivette, 2003a:76078Liu, Chun (withWalkington, Noel J.) Mixed methods for the approximation of liquidcrystal flows. (English summary) 2003c:76011

Liu, Fa Wang (with Turner, Ian W.; Anh, V. V.) An unstructured mesh finite volumemethod for modelling saltwater intrusion into coastal aquifers. (English summary)2003e:65165

Liu, Li Ping2 see Liu, Tang et al., 2003i:65139Liu, Tang (with Liu, Li Ping2; Rao, Ming; Zhang, Shu Hua3) Global superconvergenceanalysis inW 1,∞-norm for Galerkin finite element methods of integro-differential andrelated equations. (English summary) 2003i:65139

Liu, Wen Bin1 (with Yan, Ningning) A posteriori error estimates for optimal controlproblems governed by parabolic equations. (English summary) 2003k:49067

Liu, Xiao Hua1 On the estimation of stability and convergence of the full-discrete finiteelement method for a class of second order nonlinear hyperbolic equations. (Chinese.English summary) 2003d:65086

Loghin, Daniel (withWathen, Andrew J.) Schur complement preconditioners for theNavier-Stokes equations. (English summary) 2003j:76075

Loula, Abimael F. D. see Castro, Rigoberto G. Sanabria et al., 2003b:76116Lube, Gert (with Ol′shanskiı, M. A.) Stable finite-element calculation of incompressibleflows using the rotation form of convection. (English summary) 2003d:76108

Lukacova-Medvid′ova,M. (withMorton, K. W.; Warnecke,Gerald G.) Finite volumeevolution Galerkin methods for multidimensional hyperbolic systems. (Englishsummary) (see 2003j:65004)(withMorton, K. W.; Warnecke,Gerald G.) Finite volume evolution Galerkin methodsfor Euler equations of gas dynamics. (English summary) 2003j:76078

Lyashko, A. D. see Zhelezovskiı, S. E., 2003a:65076Lyra, P. R. M. (withMorgan, Kenneth) A review and comparative study of upwindbiased schemes for compressible flow computation. III. Multidimensional extension onunstructured grids. (English summary) 2003i:65074

MacKinnon,Robert J. (with Carey, Graham F.) Positivity-preserving, flux-limited finite-difference and finite-element methods for reactive transport. (English summary)2003k:76087

Malta, Sandra M. C. see Castro, Rigoberto G. Sanabria et al., 2003b:76116Mangeney-Castelnau,Anne (with Califano, F.; Cavazzoni, C.; Travnicek, P.) A numericalscheme for the integration of the Vlasov-Maxwell system of equations. (Englishsummary) 2003f:82091

Marchenko,O. A. see Skopets′kiı, V. V. et al., 2003c:35156Martınez Varela, A. M. see Alvarez-Vazquez,L. J. et al., 2003h:65122Maslouhi, A. see Gabbouhy,Mostafa et al., 2003m:76156Mazzia, A. (with Putti, M.) Mixed-finite element and finite volume discretization for heavybrine simulations in groundwater. (English summary) 2003h:76093

McCallen, R. C. see Kollmann,W. et al., 2003d:76096Mghazli, Zoubida see Gabbouhy,Mostafa et al., 2003m:76156Micula, G. (withMicula, Maria) On the numerical approach of Korteweg-de Vries-Burger equations by spline finite element and collocation methods. (English summary)2003h:35239

Micula,Maria seeMicula, G., 2003h:35239Miglio, Edie see Discacciati, Marco et al., 2003h:76087Mikula, Karol see Bansch, Eberhard, 2003h:94001Minev, Peter D. see Guermond, Jean Luc, 2003e:76076 and Kaazempur-Mofrad,M. R. et al.


Modugno,D. see Biava, M. et al., 2003b:76125Morgan, Kenneth see Lyra, P. R. M., 2003i:65074Morton, K. W. Evolution Galerkin methods as finite difference schemes. (Englishsummary) (see 2003f:65006)see also Lukacova-Medvid′ova,M. et al., 2003j:76078 and (2003j:65004)

Mose, R. see Hoteit, H. et al., 2003h:76091Moussaoui, Farid A unified approach for inviscid compressible and nearly incompressibleflow by least-squares finite element method. (English summary) 2003m:76111

Najzar, Karel see Feistauer,Miloslav et al., 2003f:35174Nakaguchi, Etsushi (with Yagi, Atsushi) Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems. (English summary) 2003g:35111

Novo, Julia see de Frutos, Javier, 2003i:65080Nurnberg, Robert see Barrett, John W.1, 2003g:35104Ol′shanskiı, M. A. see Lube, Gert, 2003d:76108Ortiz, Michael see Lew, Adrian, 2003g:74035Ozdes, A. see Ozis, T. et al., 2003k:76088Ozis, T. (with Aksan, E. N.; Ozdes, A.) A finite element approach for solution of Burgers’equation. (English summary) 2003k:76088

Pan, Tsorng-Whay (with Glowinski, Roland) Direct simulation of the motion of neutrallybuoyant circular cylinders in plane Poiseuille flow. (English summary) 2003g:76088

see also Bristeau,M. O. et al., (2003f:65005)Pedersen, Geir Energy conservation and physical optics for discrete long wave equations.(English summary) 2003m:35233

Pedersen, Thomas Garm seeWyller, John et al., 2003a:78008Peradze, D. G. Discussion of: “A Galerkin method for a nonlinear integro-differentialwave system” [Comput. Methods Appl. Mech. Engrg. 44 (1984), no. 2, 229–237;MR86a:73027] by I. Christie and J. M. Sanz-Serna.

Pereira, Felipe see Almeida, Cesar et al., 2003e:76102Periaux, J. see Bristeau,M. O. et al., (2003f:65005)Peszynska, Małgorzata (with Jenkins, Eleanor W.; Wheeler, Mary Fanett) Boundaryconditions for fully implicit two-phase flow models. (English summary) 2003j:76077

Philippe, Bernard see Hoteit, H. et al., 2003h:76091Pontaza, Juan P. see Bathe, Klaus Jurgen, 2003b:76115Popovici, C. I. The finite element method for solving the two-dimensional Stefan problemwith two phases. I. (English summary) 2003a:80008

The finite element method for solving the two-dimensional Stefan problem with twophases. II. (English summary) 2003h:80010

Postoyalkina, E. A. see Ispolov, Yu. G. et al., 2003i:80014Preusser, Tobias (with Rumpf, Martin) A level set method for anisotropic geometricdiffusion in 3D image processing. (English summary) 2003h:35139

Proft, Jennifer see Dawson, C. N., 2003j:76074Prohl, Andreas (with Ruzicka, Michael) On fully implicit space-time discretization formotions of incompressible fluids with shear-dependent viscosities: the case p ≤ 2.(English summary) 2003a:76011

Putti, M. seeMazzia, A., 2003h:76093Quartapelle, L. see Biava, M. et al., 2003b:76125Quarteroni, Alfio (with Veneziani, Alessandro; Zunino, Paolo) Mathematical andnumerical modeling of solute dynamics in blood flow and arterial walls. (Englishsummary) 2003b:76167

Mathematicalmodelling of the cardiovascular system. (English summary) 2003m:92030see also Discacciati,Marco et al., 2003h:76087

Raible, Martin see Blomker, Dirk et al., 2003k:60148Rao, Ming see Liu, Tang et al., 2003i:65139Ravindran, S. S. Adaptive reduced-order controllers for a thermal flow system using properorthogonal decomposition. (English summary) 2003g:93058


Ringhofer, Christian (with Schmeiser, C.; Zwirchmayr, A.) Moment methods for thesemiconductor Boltzmann equation on bounded position domains. (English summary)2003a:82072

Rodrigues, Alırio see do Carmo Coimbra, Maria et al.Rodrıguez, Carmen see Alvarez-Vazquez, L. J. et al., 2003h:65122RodrıguezGomez, David see Chacon Rebollo, Tomas, (2003k:86001)Rodrıguiez Galvan, Rafael see Guillen Gonzalez, FranciscoM., (2003k:86001)Roman, Luis Carlos see Almeida, Cesar et al., 2003e:76102Rossi, Julio Daniel see Ferreira, Raul et al., 2003f:35012 and Acosta, Gabriel et al.,

2003k:65102

Rudenko, D. V. (with Utyuzhnikov, S. V.) Application of grids dynamically adapted tothe solution for modeling three-dimensional unsteady gas flows with large gradients.(Russian. Russian summary) 2003e:76084

Rui, Hong Xing (with Tabata, Masahisa) A second order characteristic finite elementscheme for convection-diffusion problems. (English summary) 2003e:65167

Rummler, Bernd Some strange numerical solutions of the non-stationary Navier-Stokesequations in pipes. (English summary) 2003d:76045

Rumpf, Martin see Preusser, Tobias, 2003h:35139Runesson, Kenneth see Larsson, Fredrik et al., 2003k:74060Ruzicka, Michael see Prohl, Andreas, 2003a:76011Saadi, Z. see Gabbouhy,Mostafa et al., 2003m:76156

Sandu, Adrian (with Borden, Christian) A framework for the numerical treatment ofaerosol dynamics. (English summary)

Sanfelici, Simona see Fusai, Gianluca et al., 2003j:91058Schatzle, Reiner see Dziuk, Gerhard et al., 2003f:53117Schmeiser, C. see Ringhofer, Christian et al., 2003a:82072Schmidt, Andre (with Gaul, Lothar) Implementation von Stoffgesetzen mit fraktionalenAbleitungen in die Finite Elemente Methode. (English summary) [Implementation ofmaterial laws with fractional derivatives into the finite element method]

Schneid, E. see Knabner, Peter, (2003b:65004)Schotzau,Dominik see Castillo, Paul et al., 2003e:65214Schwab, Christoph see Castillo, Paul et al., 2003e:65214Sereno, Carlos see do Carmo Coimbra, Maria et al.

Seydel, Rudiger Tools for computational finance. (English summary) 2003h:91068

Shabrov, N. N. see Ispolov, Yu. G. et al., 2003i:80014Shi, Zhong Ci seeMing, Ping-bing, 2003h:65169Shurina, E. P. (with Solonenko, O. P.; Voitovich, T. V.) Technologies of finite volume-finiteelement method for the solution of convection-diffusion problems on unstructured grids.


(Russian summary) 2003g:65103

Skerget, L. (with Jecl, R.) Boundary element method for transport phenomena in porousmedium. (English summary) 2003m:76114

Skopets′kiı, V. V. (withMarchenko, O. A.; Lezhnına, N. A.) System analysis of plantsaffected by interacting processes. (Russian. English and Ukrainian summaries)2003c:35156

Solis, Francisco Javier Local adaptiveGalerkin bases. (English summary)Solonenko,O. P. see Shurina, E. P. et al., 2003g:65103Spagnuolo,Anna M. see Chen, Zhangxin et al., 2003m:76106Steinbach, Jorg1 A variational inequality approach to free boundary problems withapplications in mould filling. (English summary) 2003a:35002

Stoppelli,M. see Biava, M. et al., 2003b:76125Strohmer, Gerhard About the approximation of unsteady flows by the eigenfunctions of acertain differential operator. 2003a:76080

Suli, Endre (with Houston, Paul) Adaptive finite element approximation of hyperbolicproblems. (English summary) 2003k:65111

Sun, Che (with Zhao, Yun Kai) An alternating-direction difference-streamlinediffusionmethod for a convection-diffusion equation. (Chinese. English summary) 2003j:65080

Svadlenka,Karel see Feistauer, Miloslav et al., 2003f:35174(Symes, William W.) see Gockenbach,Mark S., 2003m:35001

Tabata,Masahisa see Rui, Hong Xing, 2003e:65167Tagliani,Aldo see Fusai, Gianluca et al., 2003j:91058Tang, Shao Wu see Feng, Zhen Xing et al., 2003d:35145Tanguy, Philippe A. see Bertrand, Francois, 2003g:76072Tchou, Nicoletta see Achdou,Yves, 2003g:91050Theting, Thomas Gorm Solving parabolic Wick-stochastic boundary value problems usinga finite element method. (English summary) 2003m:60173

Travnicek, P. seeMangeney-Castelnau,Anne et al., 2003f:82091Turek, Stefan see Kuzmin, D., 2003a:76079Turki, S. see Abbassi, H. et al.

Turner, Ian W. see Liu, Fa Wang et al., 2003e:65165Turpault, Rodolphe Construction d’un modele M1-multigroupe pour les equations dutransfert radiatif. (English and French summaries) [Construction of a multigroup M1model for the radiative transfer equations] 2003a:85002

Tveito, Aslak see Lines, Glenn Terje et al.Utyuzhnikov,S. V. see Rudenko, D. V., 2003e:76084Van, Tri (withWood, Aihua W.) Analysis of time-domainMaxwell’s equations for 3-Dcavities. (English summary) 2003e:35298

Vazquez Cendon, C. see Calvo, N. et al., 2003a:86008VazquezMendez,M. E. see Alvarez-Vazquez,L. J. et al., 2003h:65122van der Vegt, J. J. W. (with van der Ven, H.) Space-time discontinuous Galerkin finiteelement method with dynamic grid motion for inviscid compressible flows. I. Generalformulation. (English summary) 2003k:76089

see also van der Ven, H., 2003m:76112

Vejchodsky, Tomas Fully discrete error estimation by the method of lines for a nonlinearparabolic problem. (English summary) 2003m:65162

van der Ven, H. (with van der Vegt, J. J. W.) Space-time discontinuous Galerkin finiteelement method with dynamic grid motion for inviscid compressible flows. II. Efficientflux quadrature. (English summary) 2003m:76112

see also van der Vegt, J. J. W., 2003k:76089Veneziani, Alessandro see Quarteroni, Alfio et al., 2003b:76167Vinitskiı, S. I. see Bankov, N. G. et al., 2003k:65108Voitovich,T. V. see Shurina, E. P. et al., 2003g:65103Volkwein, Stefan see Kunisch, Karl, 2003g:65107Vollmoller, P. see Dedner, A., 2003b:85001Vozovoi, L. see Alpert, Bradley et al., 2003i:65083Walkington,Noel J. see Liu, Chun, 2003c:76011Walkley, Mark (with Berzins, Martin) A finite element method for the two-dimensionalextended Boussinesq equations. (English summary) 2003b:76117

Wang, Jun Ping1 see Ewing, Richard E. et al., 2003e:76106Warburton, T. see Hesthaven, J. S., 2003f:78034and Giraldo, F. X. et al., 2003g:86004Warnecke,Gerald G. see Lukacova-Medvid′ova,M. et al., 2003j:76078 and (2003j:65004)Wathen, Andrew J. see Loghin, Daniel, 2003j:76075Weekes, SuzanneL. see Ewing, Richard E. et al., 2003e:76106Wheeler, Mary Fanett see Peszynska,Małgorzata et al., 2003j:76077Wood, Aihua W. see Van, Tri, 2003e:35298Wu, Yu Jiang A note on the correction term of nonlinear Galerkin method for 2-dimensional Navier-Stokes equations. (Chinese. English and Chinese summaries)2003a:76038

Wyller, John (with Pedersen, Thomas Garm; Johansen, Per Michael) Mathematicalproperties of the rotational diffusion equation. (English summary) 2003a:78008

Xiang, Y. see Bristeau, M. O. et al., (2003f:65005)Yagi, Atsushi see Nakaguchi, Etsushi, 2003g:35111Yan, Ningning see Liu, Wen Bin1, 2003k:49067Yang,Qing3 Amoving grid finite element method along characteristics for a semiconductordevice. (Chinese. English summary) 2003k:65105

Yang, Yongjun see Ewing, Richard E. et al., 2003e:76106Yeh, Li-Ming see Almeida, Cesar et al., 2003e:76102Younes,Anis see Chavent,Guy et al., 2003m:65201Yu, Xi Jun A multigrid method for nonlinear parabolic problems. (see 2003f:65005)Yuan, Yi Rang The modified method of characteristics with finite element operator-splitting procedures for compressible multicomponent displacement problem. (Englishsummary) 2003m:65165

Yue, Xing Ye A local pointwise error estimate for the modified method of characteristics.(Chinese. English and Chinese summaries) 2003e:65168

Zabud′ko,M. A. see Galkin, V. A., 2003a:35208Zhang, Jian1 see Hon, Yiu-Chung et al., 2003c:35148Zhang, Shu Hua3 see Liu, Tang et al., 2003i:65139Zhang, Tianyu see Du, Qiang, 2003m:65013Zhao, Yun Kai see Sun, Che, 2003j:65080

Zhelezovskiı, S. E. (with Lyashko, A. D.) Error estimates for the Galerkin method forquasilinear hyperbolic equations. (Russian. Russian summary) 2003a:65076

Zhou, Xu see Hon, Yiu-Chung et al., 2003c:35148Zunino, Paolo see Quarteroni, Alfio et al., 2003b:76167Zwirchmayr, A. see Ringhofer, Christian et al., 2003a:82072

65M70 Spectral, collocation and related methods

Anttila, Juha A spline collocation method for parabolic pseudodifferential equations.(English summary) 2003i:65092


Bae, Myung-whan seeMochimaru, Yoshihiro

Bialecki, Bernard see Li, Bingkun et al., 2003d:65095Cheng, Xiao Liang see Ye, Xing De, 2003h:65140Christou, M. A. (with Christov, C. I.) Fourier-Galerkin method for localized solutions ofequations with cubic nonlinearity. (English summary) 2003f:65173

Christov, C. I. see Christou,M. A., 2003f:65173Dag, Idris (with Dogan, Abdulkadir; Saka, Bulent) B-spline collocation methods fornumerical solutions of the RLW equation. (English summary)

Derkach, S. B. see Povstenko, Yu. Z.Dogan, Abdulkadir see Dag, Idris et al.

Fairweather, Graeme see Li, Bingkun et al., 2003d:65095Fang, Shao Mei Fourier spectral and pseudo-spectral methods for a class of generalizedKdV equations. (Chinese. English summary) 2003i:65093

Filbet, Francis (with Pareschi, Lorenzo) Numerical solution of the Fokker-Planck-Landauequation by spectral methods. (English summary)

Fok, Johnson C. M. (with Guo, Ben-Yu; Tang, Tao) Combined Hermite spectral-finitedifference method for the Fokker-Planck equation. (English summary) 2003j:65096

Gavrilyuk, Ivan P. (withMakarov, Vladimir L.) Exponentially convergent paralleldiscretization methods for the first order evolution equations. (English summary)2003f:65174

Guo, Ben-Yu see Xu, Cheng-long,2003e:65184 and Fok, Johnson C. M. et al., 2003j:65096He, Li Ping see Sun, Shun Kai, 2003i:65094Herrmann, Norbert BEM with collocation for the heat equation with Neumann and mixedboundary values. (English summary) 2003g:65124

Hou, Jiang Rong (with Huang, Pei Qing; Song, Guo Xiang) Numerical solution of theBurgers equation by an improved algorithm of interval spline wavelet interpolation withspecial points. (Chinese. English and Chinese summaries)

Huang, Pei Qing see Hou, Jiang Rong et al.

Israeli, M. see Averbuch, Amir Z. et al., (2003f:65005)Kim, Mi-Young2 (with Kwon, Yonghoon) A collocation method for the Gurtin-MacCamyequation with finite life-span. (English summary) 2003e:65182

Kwon, Yonghoon see Kim, Mi-Young2, 2003e:65182Li, Bingkun (with Fairweather, Graeme; Bialecki, Bernard) Discrete-time orthogonalspline collocation methods for vibration problems. (English summary) 2003d:65095

Li, Kai Tai seeWang, He-yuan et al., 2003k:65129Liu, Yen seeWang, Zhi Jian4, 2003f:65177Liu, Yun Xian Collocation methods andH 1-error estimates for the semiconductor problemwith heat-conduction. (Chinese. English and Chinese summaries)

Lopez, Juan M. (withMarques, Francisco; Shen, Jie1) An efficient spectral-projectionmethod for the Navier-Stokes equations in cylindrical geometries. II. Three-dimensionalcases. (English summary) 2003b:65104

Ma, He-ping see Tang, Jian Guo2, 2003f:65175Makarov, Vladimir L. see Gavrilyuk, Ivan P., 2003f:65174Marques, Francisco see Lopez, Juan M. et al., 2003b:65104Mead, Jodi L. (with Renaut, Rosemary A.) Accuracy, resolution, and stability propertiesof a modified Chebyshev method. (English summary) 2003k:65127

Mochimaru, Yoshihiro (with Bae, Myung-whan) Analysis of natural convection in aninfinite extension, using a Jacobian elliptic function. (English summary)

Pareschi, Lorenzo (with Toscani, Giuseppe; Villani, Cedric) Spectral methods for the noncut-off Boltzmann equation and numerical grazing collision limit. (English summary)2003k:65128

see also Filbet, Francis

Pazos, Ruben Panta (with Thompson, Mark; Vilhena, Marco Tulio M. B.) Error boundsfor spectral collocation method for the linear Boltzmann equation. (English summary)2003b:65105

Povstenko, Yu. Z. (with Derkach, S. B.) Application of the collocation method for solvingdiffusion-type equations with nonlocal boundary conditions. (Ukrainian. English,Russian and Ukrainian summaries)

Raslan, K. R. see Soliman, A. A., 2003a:65083Renaut, Rosemary A. seeMead, Jodi L., 2003k:65127Ruvinsky, K. see Averbuch, Amir Z. et al., (2003f:65005)Ryaben′kii, Viktor S. (with Turchaninov, V. I.) A spectral approach to the construction ofnonreflecting artificial boundary conditions. (Russian. English and Russian summaries)2003h:65139

Saka, Bulent seeDag, Idris et al.Shen, Jie1 see Lopez, Juan M. et al., 2003b:65104Shizgal, Bernie D. Spectral methods based on nonclassical basis functions: the advection-diffusion equation. (English summary) 2003e:65183

Soliman, A. A. (with Raslan, K. R.) Collocation method using quadratic B-spline for theRLW equation. (English summary) 2003a:65083

Song, Guo Xiang see Hou, Jiang Rong et al.Sun, Shun Kai (with He, Li Ping) Legendre pseudospectral approximation for nonlinearevolutionary problems. (Chinese. English and Chinese summaries) 2003i:65094

Tang, Jian Guo2 (withMa, He-ping) Single and multi-interval Legendre >-methods in timefor parabolic equations. (English summary) 2003f:65175

Tang, Tao see Fok, Johnson C. M. et al., 2003j:65096Thompson, Mark see Pazos, Ruben Panta et al., 2003b:65105


Toscani, Giuseppe see Pareschi, Lorenzo et al., 2003k:65128Turchaninov, V. I. see Ryaben′kii, Viktor S., 2003h:65139Vilhena,Marco Tulio M. B. see Pazos, Ruben Panta et al., 2003b:65105Villani, Cedric see Pareschi, Lorenzo et al., 2003k:65128Vozovoi, L. see Averbuch, Amir Z. et al., (2003f:65005)Wang,Ding see Xiang, Xin Min, 2003c:65099Wang,He-yuan (withWang,Wei-min; Li, Kai Tai) Spectral Galerkin approximationof symmetry breaking bifurcation point of the Navier-Stokes equations. (English andChinese summaries) 2003k:65129

Wang,Wei-min seeWang, He-yuan et al., 2003k:65129Wang, Zhi Jian4 Spectral (finite) volume method for conservation laws on unstructuredgrids. Basic formulation. (English summary) 2003f:65176(with Liu, Yen) Spectral (finite) volume method for conservation laws on unstructuredgrids. II. Extension to two-dimensional scalar equation. (English summary) 2003f:65177

Xiang, Xin Min (withWang, Ding) Large-time behavior of fully discrete Chebyshevpseudospectral approximation for a class of semilinear parabolic equations. (Chinese.English summary) 2003c:65099

Xu, Cheng-long (with Guo, Ben-Yu) Laguerre pseudospectral method for nonlinear partialdifferential equations. (English summary) 2003e:65184

Ye, Xing De (with Cheng, Xiao Liang) Legendre collocation approximation for Cahn-Hilliard equation. (Chinese. English and Chinese summaries) 2003h:65140

The Fourier collocation method for the Cahn-Hilliard equation. (English summary)2003e:65185

The Legendre collocation method for the Cahn-Hilliard equation. (English summary)2003m:65188


Al-Kholi, F. M. R. see Doha, Eid H., 2003b:35011Alonso-Mallo, Isaıas (with Cano, Begona) Spectral/Rosenbrock discretizations withoutorder reduction for linear parabolic problems. (English summary) 2003e:65163


Askar, A. see Hu, Xu-Guang et al., 2003f:81003Bae, Myung-whan seeMochimaru, Yoshihiro

Bao, Weizhu (with Jin, Shi) The random projection method for stiff multispeciesdetonation capturing. (English summary) 2003a:80010

Beylkin, Gregory see Alpert, Bradley et al., 2003i:65083Bontoux, Patrick see Droll, P. et al., 2003m:76120

Borden, Christian see Sandu,AdrianBos, L. P. (withWare, A. F.; Pavlov, Boris S.) On a semi-spectral method for pricing anoption on a mean-reverting asset. (English summary) 2003h:91057

Calvo, Pablo (with Petriz Calvo, Felipe) Determining initial conditions for the direct nu-merical simulation of compressible fluids. (Spanish. English summary) (see 2003a:00031)

Cano, Begona see Alonso-Mallo, Isaıas, 2003e:65163Carpenter,Mark H. (with Gottlieb, David; Shu, Chi-Wang) On the conservation andconvergence to weak solutions of global schemes. (English summary) 2003k:65094

Cattani,Carlo (with Laserra, Ettore) Transport theory of homogeneous reacting solutes.(English and Ukrainian summaries) 2003b:76156

Chang,Qian Shun seeMa, Shuqing,2003j:37138Chauviere, C. A new method for micro-macro simulations of viscoelastic flows. (Englishsummary) 2003g:76089

Christov, C. I. see Papanicolaou,N. C., 2003j:65093Doha, Eid H. (with Al-Kholi, F. M. R.) An efficient double Legendre spectral method forparabolic and elliptic partial differential equations. (English summary) 2003b:35011

Douglas, Craig C. (with Haase, Gundolf; Iskandarani, Mohamed) An accelerationprocedure for the spectral element ocean model formulation of the shallow waterequations. (English summary) 2003d:86003

Driscoll, Tobin A. A composite Runge-Kutta method for the spectral solution of semilinearPDEs. (English summary) 2003i:65081

Droll, P. (with Schafer, Michael; Serre, Eric; Bontoux, Patrick) An implicit pseudo-spectral multi-domain method for the simulation of incompressible flows. (Englishsummary) 2003m:76120

Filbet, Francis (with Pareschi, Lorenzo) A numerical method for the accurate solution ofthe Fokker-Planck-Landau equation in the nonhomogeneous case. (English summary)2003c:82085

de Frutos, Javier (with Novo, Julia) A posteriori error estimation with the p-version of thefinite element method for nonlinear parabolic differential equations. (English summary)2003i:65080

Gines, D. see Alpert, Bradley et al., 2003i:65083Gottlieb, David see Carpenter, Mark H. et al., 2003k:65094Guessab, Allal On a new family of Gaussian quadrature formulae of Birkhoff type andsome lumped mass spectral approximations. II. Generalized Laguerre case on semi-infinite domains. (English summary) 2003k:65020

Haase, Gundolf see Douglas, Craig C. et al., 2003d:86003Ho, Tak-San see Hu, Xu-Guang et al., 2003f:81003Hoppe, RonaldH. W. (with Nash, E. M.) A combined spectral element/finite elementapproach to the numerical solution of a nonlinear evolution equation describingamorphous surface growth of thin films. (English summary) 2003g:65117

Hu, Xu-Guang (with Ho, Tak-San; Rabitz, Herschel; Askar, A.) Multivariate radialbasis interpolation for solving quantum fluid dynamical equations. (English summary)2003f:81003

Huang, De Bin A stable discretization on attractors of the damped and driven periodicallysine-Gordon equation. (English summary) 2003b:35144

Imai, Hitoshi see Shanta,Shewli Shamim et al., 2003d:35283Iskandarani,Mohamed see Douglas, Craig C. et al., 2003d:86003Jackiewicz, Z. (with Renaut, Rosemary A.) A note on stability of pseudospectral methodsfor wave propagation. (English summary) 2003c:35103

(withWelfert, B. D.) Stability of Gauss-Radau pseudospectral approximations of theone-dimensional wave equation. (English summary) 2003m:65155

Jin, Shi see Bao, Weizhu, 2003a:80010

Kantur, O. Yu. (with Tsybulin, VyacheslavG.) A spectral-differencemethod for computingconvectivemotions of a fluid in a porous medium, and cosymmetry preservation.(Russian. Russian summary) 2003e:76081

Kevlahan, N. K.-R. see Vasilyev, Oleg V.

Kouatchou, Jules Comparison of time and spatial collocation methods for the heatequation. (English summary)

Kushida, Masahiro see Shanta, Shewli Shamim et al., 2003d:35283Lang, A. W. (with Sloan, D. M.) Hermite collocation solution of near-singular problemsusing numerical coordinate transformations based on adaptivity. (English summary)2003i:65084

Laserra, Ettore see Cattani, Carlo, 2003b:76156Levy, Mireille Parabolic equation methods for electromagnetic wave propagation.(English summary) 2003b:78001

Liu, Zeng Rong see Tian, Li Xin et al., 2003m:37130Ma, Shuqing (with Chang, Qian Shun) Attractors and dimensions for discretizations of aNLS equation with a non-local nonlinear term. (English summary) 2003j:37138

Mancuso, Massimo (with Ubertini, Francesco) The Nørsett time integrationmethodologyfor finite element transient analysis. (English summary) 2003c:65086

Micula, G. (withMicula, Maria) On the numerical approach of Korteweg-de Vries-Burger equations by spline finite element and collocation methods. (English summary)2003h:35239

Micula, Maria seeMicula, G., 2003h:35239Mochimaru, Yoshihiro (with Bae, Myung-whan) Numerical analysis of heat and fluid flow,using a family of Jacobian elliptic functions. (English summary)

Morosanu, Costica On the numerical stability of the cubic spline approximation to solutionof phase-field transition system. (English summary) 2003c:65085

Naghsh-Nilchi, Ahmad Reza see Stenger, Frank et al., 2003m:35013

Nash, E. M. see Hoppe, RonaldH. W., 2003g:65117Niebsch, Jenny see Stenger, Frank et al., 2003m:35013

Novo, Julia see de Frutos, Javier, 2003i:65080Papanicolaou,N. C. (with Christov, C. I.) Galerkin spectral method for higher-orderboundary value problems arising in thermal convection. (English summary)(with Christov, C. I.) A Galerkin spectral method for thermo-convectionboundary valueproblems. (English summary) 2003j:65093

Pareschi, Lorenzo see Filbet, Francis, 2003c:82085Pavlov, Boris S. see Bos, L. P. et al., 2003h:91057Petriz Calvo, Felipe see Calvo, Pablo, (2003a:00031)Peyret, Roger Spectral methods for incompressible viscous flow. (English summary)

2003d:65002Rabitz, Herschel see Hu, Xu-Guang et al., 2003f:81003Ramlau, Ronny see Stenger, Frank et al., 2003m:35013

Raslan, K. R. A collocation solution for Burgers equation using quadratic B-spline finiteelements. (English summary)

Renaut, Rosemary A. see Jackiewicz, Z., 2003c:35103Rossi, Louis F. A high order Lagrangian scheme for flow through unsaturated porousmedia. (English summary) 2003d:76125

Sandu, Adrian (with Borden, Christian) A framework for the numerical treatment ofaerosol dynamics. (English summary)

Schafer, Michael see Droll, P. et al., 2003m:76120

Serre, Eric see Droll, P. et al., 2003m:76120

Shanta, Shewli Shamim (with Takeuchi, Toshiki; Imai, Hitoshi; Kushida, Masahiro)Numerical computation of attractors in free boundary problems. (English summary)2003d:35283

Shen, Long Jun seeWu, Ji-ming, 2003h:65053Shu, Chi-Wang see Carpenter, Mark H. et al., 2003k:65094Slepcev, Dejan Approximation schemes for propagation of fronts with nonlocal velocitiesand Neumann boundary conditions. (English summary) 2003k:65096

Sloan, D. M. see Lang, A. W., 2003i:65084Stenger, Frank (with Naghsh-Nilchi, Ahmad Reza; Niebsch, Jenny; Ramlau, Ronny)Sampling methods for approximate solution of PDE. (English summary) 2003m:35013

Takeuchi, Toshiki see Shanta, Shewli Shamim et al., 2003d:35283Tian, Li Xin (with Xu, Bo Qiang; Liu, Zeng Rong) Wavelet approximate inertial manifoldand numerical solution of Burgers’ equation. (Chinese. English and Chinese summaries)2003m:37130

Tsybulin, VyacheslavG. see Kantur, O. Yu., 2003e:76081Ubertini, Francesco seeMancuso,Massimo, 2003c:65086Vasilyev, Oleg V. (with Kevlahan,N. K.-R.) Hybrid wavelet collocation—Brinkmanpenalization method for complex geometry flows. (English summary)

Vozovoi, L. see Alpert, Bradley et al., 2003i:65083Ware, A. F. see Bos, L. P. et al., 2003h:91057Welfert, B. D. see Jackiewicz, Z., 2003m:65155

Wu, Ji-ming (with Shen, Long Jun) Spectral analysis of the first-order Hermite cubicspline collocation differentiationmatrices. (English summary) 2003h:65053

Xu, Bo Qiang see Tian, Li Xin et al., 2003m:37130

65M99 None of the above, but in this section

Abbaoui, K. see Ngarhasta, N. et al., 2003d:65097Aloy, M. A. see Ibanez Cabanell, J. M. et al., (2003j:65004)Bao, Weizhu (with Jin, Shi) The random projection method for stiff multi-speciesdetonation computation. (English summary) 2003b:65106

Ben Moussa, B. Meshless particle methods: recent developments for nonlinear conservationlaws in bounded domain. (English summary) (see 2003j:65004)

Blagoveshchens′ka, T. Yu. Construction and investigation of general solutions of parabolic-type equations in a bounded time domain. (Russian. English, Russian and Ukrainiansummaries) (see 2003b:00017)

Bulut, Hasan (with Evans, David John1) Oscillations of solutions of initial value problemsfor parabolic equations by the decomposition method. (English summary)

Castano, J. I. (with Jodar, Lucas; Ponsoda, E.; Sanchez C., J. A.) Continuous numericalsolution of coupled parabolic initial value problems. (English summary) 2003g:65125


Causin, Paola (withMiglio, Edie; Saleri, Fausto) Algebraic factorizations for 3D non-hydrostatic free surface flows. (English summary)

Chapko, Roman On the numerical solution of the Dirichlet initial boundary-value problemfor the heat equation in the case of a torus. (English summary) 2003g:65126

Chen, Cha’o Kuang (with Hung, Chen-I; Lee, Zong-Yi) Double side approach methodto obtain solutions for transient nonlinear heat conduction using genetic algorithms.(English summary) 2003k:65130

Chen, Jing-Bo (withMunthe-Kaas, Hans Z.; Qin, Meng Zhao) Square-conservativeschemes for a class of evolution equations using Lie-group methods. (English summary)2003d:65096

Cherruault,Yves see Ngarhasta, N. et al., 2003d:65097; Inc, M., 2003e:65186 and Khelifa,

S., 2003m:65189Cırulis, T. (with Lietuvietis, O.) Application of DM methods for problems with partialdifferential equations. (English and Lithuanian summaries)

Deıneka, V. S. see Kalynyuk, N. A., (2003b:00018)Ding, Zhihong seeWu, Xiong-hua,2003h:65141Du, Qi Kui (with Yu, De Hao) Dirichlet-Neumann alternating algorithm based on thenatural boundary reduction for time-dependent problems over an unbounded domain.(English summary)

Engquist, Bjorn (with Runborg, Olof; Tornberg, Anna-Karin) High-frequency wavepropagation by the segment projection method. (English summary) 2003c:65100

Evans, David John1 see Bulut, HasanFazio, Riccardo Similarity and numerical analysis of a singular moving boundaryhyperbolic problem. (English summary) (see 2003b:00028)

Font, Jose A. see Ibanez Cabanell, J. M. et al., (2003j:65004)Freistuhler, Heinrich (with Rohde, Christian) Numerical computation of viscous profilesfor hyperbolic conservation laws. (English summary) 2003f:65178

Grossmann, C. (with Horvath, Zalan) Construction of two-sided bounds for initial-boundary value problems. (English summary) 2003g:65127

Horvath, Zalan see Grossmann, C., 2003g:65127Hung, Chen-I see Chen, Cha’o Kuang et al., 2003k:65130Ibanez Cabanell, J. M. (with Aloy, M. A.; Font, Jose A.; Martı, J. Ma.; Miralles, J. A.;Pons, J. A.) Riemann solvers in general relativistic hydrodynamics. (English summary)(see 2003j:65004)

Inc, M. (with Cherruault, Yves) A new approach to solve a diffusion-convection problem.(English summary) 2003e:65186

Jin, Shi (with Pareschi, Lorenzo) Asymptotic-preserving (AP) schemes for multiscalekinetic equations: a unified approach. (English summary) 2003b:65107

see also Bao, Weizhu, 2003b:65106Jodar, Lucas see Castano, J. I. et al., 2003g:65125Kalynyuk, N. A. (with Deıneka, V. S.) Numerical discretization of an initial-boundaryvalue problem for a parabolic equation with nonhomogeneous principal conjugationconditions. (Russian. English, Russian and Ukrainian summaries) (see 2003b:00018)

Kaya, Dogan (with Yokus, Asif) A numerical comparison of partial solutions in thedecomposition method for linear and nonlinear partial differential equations. (Englishsummary)

Khelifa, S. (with Cherruault, Yves) Approximation of the solution for a class of first orderp.d.e. by Adomian method. (English summary) 2003m:65189

Kitahara, Youichi (with Okamura, Makoto1) Mean value for the Kuramoto-Sivashinskyequation by using a projection operator method. (Japanese. Japanese summary)

Krenk, Steen Unified formulation of radiation conditions for the wave equation. (Englishsummary) 2003g:65128

Lee, Zong-Yi see Chen, Cha’o Kuang et al., 2003k:65130Lesnic, D. The decomposition method for forward and backward time-dependentproblems. (English summary) 2003i:65095

Lietuvietis, O. see Cırulis, T.

Makarov, R. N. Combined estimates of the Monte Carlo method for the third boundaryvalue problem for a parabolic-type equation. (English summary) 2003m:65190

Martı, J. Ma. see Ibanez Cabanell, J. M. et al., (2003j:65004)Martınez,Vicente An artificial compression procedure via flux correction. (Englishsummary) (see 2003j:65004)

Matsuka, N. P. see Volkov, V. M., 2003k:65131Miglio, Edie see Causin, Paola et al.Mil′shteın, G. N. The probability approach to numerical solution of nonlinear parabolicequations. (English summary) 2003g:65129

Miralles, J. A. see Ibanez Cabanell, J. M. et al., (2003j:65004)Motta, S. A new formulation and gauge invariance of the MW-CRF method for kineticequations. (English summary) 2003j:65097

Munthe-Kaas,Hans Z. see Chen, Jing-Bo et al., 2003d:65096Na, Shun Bu He (with Zhang, Zhi Yue) The AGE numerical parallel method for a class ofnonlinear evolution equations. (Chinese. English and Chinese summaries)

Natesan, Srinivasan see Vigo-Aguiar, Jesus et al., 2003e:65187Ngarhasta, N. (with Some, B.; Abbaoui, K.; Cherruault, Yves) New numerical study ofAdomian method applied to a diffusion model. (English summary) 2003d:65097

Ohwada, Taku On the construction of kinetic schemes. (English summary) 2003a:65084Okamura, Makoto1 see Kitahara, Youichi

Ostermann, Alexander Stability ofW -methods with applications to operator splitting andto geometric theory. (English summary) 2003g:65130

(with Thalhammer, Mechthild) Convergence of Runge-Kutta methods for nonlinearparabolic equations. (English summary) 2003g:65131

Pareschi, Lorenzo see Jin, Shi, 2003b:65107Pons, J. A. see Ibanez Cabanell, J. M. et al., (2003j:65004)Ponsoda, E. see Castano, J. I. et al., 2003g:65125Qin, Meng Zhao see Chen, Jing-Bo et al., 2003d:65096Quintales,Luis M. see Vigo-Aguiar, Jesus et al., 2003e:65187Rohde,Christian see Freistuhler, Heinrich, 2003f:65178Runborg,Olof see Engquist, Bjorn et al., 2003c:65100Saleri, Fausto see Causin, Paola et al.SanchezC., J. A. see Castano, J. I. et al., 2003g:65125Sarler, Bozidar Towards a mesh-free computation of transport phenomena. (English

summary) (see 2003e:65002)Some, B. see Ngarhasta, N. et al., 2003d:65097Thalhammer, Mechthild see Ostermann, Alexander, 2003g:65131Tornberg, Anna-Karin see Engquist, Bjorn et al., 2003c:65100Vigo-Aguiar, Jesus (with Quintales, Luis M.; Natesan, Srinivasan) An efficient parallelalgorithm for the numerical solution of Schrodinger equation. (English summary)2003e:65187

Volkov, V. M. (withMatsuka, N. P.) On singularities of the numerical solution of problemsfor the generalized nonlinear Schrodinger equation. (Russian. Russian summary)2003k:65131

Wazwaz, Abdul-Majid A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation. (English summary) 2003e:65188

Wu, Xiong-hua (with Ding, Zhihong) Differential quadrature method for pricingAmerican options. (English summary) 2003h:65141

Ying, Long An Convergence study of the Chorin-Marsden formula. (English summary)2003j:65098

Yokus, Asif see Kaya, DoganYu, De Hao see Du, Qi Kui

Zhang, Zhi Yue see Na, Shun Bu He


Abbaoui, K. see Cherruault, Yves et al., 2003h:35221Abdel Gawad, H. I. (with Saad, K. M. A.) On the behaviour of solutions of the two-cellcubic autocatalator reaction model. (English summary)

Adams, Nikolaus A. (with Stolz, Steffen) A subgrid-scale deconvolution approach forshock capturing. (English summary) 2003b:76100

Aristov, Vladimir Vladimirovich (with Zabelok, S. A.) A deterministic method for solvingthe Boltzmann equation with parallel computations. (Russian. Russian summary)2003f:82090

Cerimele, M. M. (with Chiofalo, M. L.; Pistella, F.) Numerical solution of the stationaryGross-Pitaevskii equation: tests of a combined imaginary-time-marching technique withsplitting. (English summary)

Cherruault, Yves (with Inc, M.; Abbaoui, K.) On the solution of the non-linear Korteweg-de Vries equation by the decomposition method. (English summary) 2003h:35221

Chiofalo,M. L. see Cerimele, M. M. et al.

Chopard, Bastien (with Dupuis, Alexandre; Masselot, Alexandre; Luthi, Pascal) Cellularautomata and lattice Boltzmann techniques: an approach to model and simulate complexsystems. (English summary) 2003m:82088

Chopp, David L. see Smith, Kurt A. et al., 2003e:76090Cottet, Georges-Henri A particle model for fluid-structure interaction. (English and Frenchsummaries) 2003i:74016

Dubroca, Bruno (with Klar, Axel) Prise en compte d’un fort desequilibre cinetique parun modele aux demi-moments. (English and French summaries) [Half-momentmodeltaking into account strong kinetic non-equilibrium] 2003f:76079

Dupuis, Alexandre see Chopard, Bastien et al., 2003m:82088Fedkiw, Ronald P. (with Liu, Xu-Dong) The ghost fluid method for viscous flows. (Englishsummary) (see 2003f:65006)

Fox, Bennett L. Filtering the Feynman-Kac formula. (English summary) 2003c:35016

Garcıa-Olivares, Antonio Analytical approximants of time-dependent partial differentialequations with tau methods. (English summary) 2003i:35131

Gosse, Laurent Using K -branch entropy solutions for multivalued geometric opticscomputations. (English summary) 2003d:35250

Gu, Yun seeWei, Guo Wei2, 2003i:76074Guo, Dongming seeWang, Michael Yu et al., 2003m:74105Hazra, SubhenduBikash (with Viens, Frederi G.) Towards pathwise stochastic fastdynamo in magneto-hydrodynamics. (English summary) 2003k:76159

Ida, Masato An improved unified solver for compressible and incompressible fluidsinvolving free surfaces. II. Multi-time-step integration and applications. (Englishsummary)Erratum to: “An improved unified solver for compressible and incompressible fluidsinvolving free surfaces. II. Multi-time-step integration and applications” [Comput. Phys.Comm. 150 (2003), no. 3, 300–322; 1 977 368].

Ikeda, Youichi see Kita, Eisuke et al., (2003e:65002)Inc, M. see Cherruault, Yves et al., 2003h:35221Iwasaki, Hiroshi see Omata, Seiro et al., 2003c:35020Jin, Shi (with Li, Xiantao) Multi-phase computations of the semiclassical limit of theSchrodinger equation. (English summary) 2003i:81075

Kamiya, Norio see Kita, Eisuke et al., (2003e:65002)Katsuragawa, J. see Kita, Eisuke et al., (2003e:65002)Kawagoe, Kenichi see Omata, Seiro et al., 2003c:35020Keeling, Stephen L. (with Stollberger, Rudolf) Nonlinear anisotropic diffusion filtering formultiscale edge enhancement. (English summary) 2003d:94011

Kilbas, A. A. (with Trujillo, Juan J.) Differential equations of fractional order: methods,results and problems. II. (English summary) 2003h:34006

Kinami, S. see Omata, Seiro

Kita, Eisuke (with Ikeda, Youichi; Katsuragawa, J.; Kamiya, Norio) Estimation ofboundary derivatives by Trefftz method and its application to sloshing phenomenon.(English summary) (see 2003e:65002)

Klar, Axel see Dubroca, Bruno, 2003f:76079Kropinski, M. C. A. Numerical methods for multiple inviscid interfaces in creeping flows.(English summary) 2003c:76089

Lecot, Christian Quasi-random walk methods. (English summary) (see 2003a:00039)Lesnic, D. The Cauchy problem for the wave equation using the decomposition method.(English summary) 2003d:35165

Convergence of Adomian’s decomposition method: periodic temperatures. (Englishsummary) 2003e:35009

Li, Xiantao see Jin, Shi, 2003i:81075Liandrat, J. An introduction to wavelet methods for partial differential equations and theirlink with some other multi-scale approaches in numerical analysis. (English summary)2003a:65125

65N Partial differential equations, boundary value problems1927 2003 65N06

Liu, Xu-Dong see Fedkiw, Ronald P., (2003f:65006)Lu, Dian Chen (with Tian, Li Xin) Numerical analysis of lower order models for theweakly damped forced KdV equation. (Chinese. English and Chinese summaries)2003e:37115

Luthi, Pascal see Chopard, Bastien et al., 2003m:82088

Masselot, Alexandre see Chopard, Bastien et al., 2003m:82088

Mayer, Uwe F. (with Simonett, Gieri) A numerical scheme for axisymmetric solutionsof curvature-driven free boundary problems, with applications to the Willmore flow.(English summary) 2003g:53119

McEneaney,WilliamM. Error analysis of a max-plus algorithm for a first-order HJBequation. (English summary) 2003h:49050

Morinishi, K. Parallel computation of gridless type solver for unsteady flow problems.(English summary) (see 2003b:76005)

Niebsch, Jenny Zur numerischen Losung von Evolutionsgleichungen mit nichtlokalenOperatoren auf der Basis approximativer Approximationen. (German) [On thenumerical solution of evolution equations with nonlocal operators on the basis ofapproximate approximations] 2003a:65003

Omata, Seiro (with Iwasaki, Hiroshi; Kawagoe, Kenichi) Numerical calculations for theeikonal equation via the discrete Morse semiflow with Ginzburg-Landau energy. (Englishsummary) 2003c:35020

(with Kinami, S.) A numerical approach to the eikonal equation. (English summary)Pardo, Enrique2 Blurred derivatives and meshless methods. (English summary)

2003k:65086

Pistella, F. see Cerimele, M. M. et al.

Saad, K. M. A. see Abdel Gawad, H. I.

Simonett,Gieri seeMayer, Uwe F., 2003g:53119Smith, Kurt A. (with Solis, Francisco Javier; Chopp, David L.) A projection method formotion of triple junctions by levels sets. (English summary) 2003e:76090

Solis, Francisco Javier see Smith, Kurt A. et al., 2003e:76090Stollberger, Rudolf see Keeling, Stephen L., 2003d:94011Stolz, Steffen see Adams, Nikolaus A., 2003b:76100Tian, Li Xin see Lu, Dian Chen, 2003e:37115Titarev, V. A. see Toro, E. F., 2003g:35140Toro, E. F. (with Titarev, V. A.) Solution of the generalized Riemann problem foradvection-reactionequations. (English summary) 2003g:35140

Trujillo, Juan J. see Kilbas, A. A., 2003h:34006Viens, Frederi G. see Hazra, SubhenduBikash, 2003k:76159Wang,Michael Yu (withWang, Xiao Ming2; Guo, Dongming) A level set method forstructural topology optimization. (English summary) 2003m:74105

Wang, Xiao Ming2 seeWang, Michael Yu et al., 2003m:74105

Wei, Guo Wei2 (with Gu, Yun) Conjugate filter approach for solving Burgers’ equation.(English summary) 2003i:76074

Zabelok, S. A. seeAristov, Vladimir Vladimirovich, 2003f:82090

65Nxx Partial differential equations, boundary valueproblems

Douglas, Craig C. (with Haase, Gundolf; Langer, Ulrich1) A tutorial on elliptic PDEsolvers and their parallelization.

Haase, Gundolf see Douglas, Craig C. et al.

Langer, Ulrich1 see Douglas, Craig C. et al.

Items with secondary classifications in 65Nxx

Cant, Stewart High-performance computing in computational fluid dynamics: progress andchallenges. (English summary)

Chung, T. J. Computational fluid dynamics. (English summary) 2003c:76001

Deville, Michel (with Fischer, Paul F.; Mund, E. H.) High-order methods forincompressible fluid flow. (English summary) 2003g:76071

Fischer, Paul F. see Deville, Michel et al., 2003g:76071Langtangen,Hans Petter Computational partial differential equations. 2003k:65002

(Lazarov, RaytchoD.) see Dedicated to the 60th birthday of Raytcho Lazarov

Lomax, H. (with Pulliam, T. H.; Zingg, D. W.) Fundamentals of computational fluiddynamics. (English summary) 2003b:76114

Mund, E. H. see Deville, Michel et al., 2003g:76071Owens, Robert G. (with Phillips, T. N.) Computational rheology. (English summary)

2003h:76007

Phillips, T. N. see Owens, Robert G., 2003h:76007Pulliam, T. H. see Lomax, H. et al., 2003b:76114(Vassilevski, Panayot S.) see Dedicated to the 60th birthday of Raytcho Lazarov

Zingg, D. W. see Lomax, H. et al., 2003b:76114


Dedicated to the 60th birthday of Raytcho Lazarov Dedicated to the 60th birthday ofRaytcho Lazarov.


Festschrift:

Lazarov, RaytchoD. Dedicated to the 60th birthday of Raytcho Lazarov.

65N06 Finite difference methods

Allahviranloo,Tofigh Difference methods for fuzzy partial differential equations. (Englishsummary) 2003j:65099

Altas, Irfan (with Erhel, Jocelyne; Gupta, Murli M.) High accuracy solution of three-dimensional biharmonic equations. (English summary) 2003c:65101

Andrade,MarinhoG. see do Val, Joao B. R., 2003e:65192

Ayrian, E. A. (with Hayryan, Shura A.; Pokorny, Imrich; Puzynin, Igor V.) Numericalmethod for solving Poisson-Boltzmann equation on the sequence of grids. (Englishsummary) (see 2003c:00022)

Balls, Gregory T. (with Colella, Phillip) A finite difference domain decomposition methodusing local corrections for the solution of Poisson’s equation. (English summary)2003c:65102

Barles, Guy (with Jakobsen, Espen Robstad) On the convergence rate of approximationschemes for Hamilton-Jacobi-Bellmanequations. (English summary) 2003h:65142

Belukhina, I. G. The point source function for a singularly perturbed difference scheme ona uniform 2D grid. (Russian. Russian summary) 2003b:65108

Berikelashvili, Givi On the convergence of finite-difference scheme for a nonlocal ellipticboundary value problem. (English summary) 2003m:65191

Berndt, M. (with Lipnikov, Konstantin; Moulton, J. David; Shashkov, M. Yu.) Conver-gence of mimetic finite difference discretizations of the diffusion equation. (English sum-mary) 2003a:65085

Bonfiglioli, Aldo Hyperbolic-elliptic splitting for the pseudo-compressible Euler equations.(English summary) (see 2003j:65004)

Brayanov, I. A. Finite volume difference scheme for a stiff elliptic reaction-diffusionproblem with a line interface. (English summary) (see 2003e:65003)

Bystrytskyi, M. E. A method for constructing Laplace difference operators on nonorthogo-nal patterns. (Ukrainian. English and Ukrainian summaries) 2003a:65086

Calhoun, Donna A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions. (English summary) 2003a:65087

Chatzipantelidis,Panagiotis Finite volume methods for elliptic PDE’s: a new approach.(English summary) 2003e:65189


Clavero Gracia, Carmelo (with Gracia, J. L.; Lisbona, Francisco J.; Shishkin, Grigorii I.)A robust method of improved order for convection-diffusion problems in a domain withcharacteristic boundaries. (English summary) 2003g:65132

Colella, Phillip Volume-of-fluid methods for partial differential equations. (see2003j:65004)see also Balls, Gregory T., 2003c:65102

Croisille, Jean-Pierre Keller’s box-scheme for the one-dimensional stationary convection-diffusion equation. (English summary) 2003c:65103

Dosiev, Anar A fourth order accurate composite grids method for solving Laplace’sboundary value problems with singularities. (Russian summary) 2003h:65143

Droniou, Jerome (with Gallouet, Thierry) Finite volume methods for convection-diffusionequations with right-hand side inH−1. (English summary) 2003m:65192

Erhel, Jocelyne see Altas, Irfan et al., 2003c:65101Ewing, Richard E. (with Iliev, Oleg P.; Lazarov, Raytcho D.) A modified finite volumeapproximation of second-order elliptic equations with discontinuous coefficients.(English summary) 2003c:65104

Farrell, P. A. (with Hegarty, Alan F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, Grigorii I.)Parameter-uniformnumerical methods for a class of singularly perturbed problems witha Neumann boundary condition. (English summary) (see 2003e:65003)

Fedorenko, R. P. see Zhukov, V. T. et al., 2003c:65108Feodoritova,O. B. see Zhukov, V. T. et al., 2003c:65108Fılımonıkhına,Olena A. see Voıtsekhovs′kiı, Sergıı O.

Fu, Yan Ru The structure of an asynchronous parallel algorithm for a class of ellipticequations with a boundary value condition. (Chinese. English and Chinese summaries)

Gallouet, Thierry see Droniou, Jerome, 2003m:65192Ge, Lixin see Zhang, Jun2 et al., 2003c:65107Ghidaglia, Jean-Michel see Pascal, Frederic, 2003g:65133Gracia, J. L. see Clavero Gracia, Carmelo et al., 2003g:65132Gupta, Murli M. see Altas, Irfan et al., 2003c:65101Hayryan, Shura A. see Ayrian, E. A. et al., (2003c:00022)Hegarty, Alan F. see Farrell, P. A. et al., (2003e:65003)Holtby, Derek W. Higher-order estimates for fully nonlinear difference equations. I.(English summary) 2003b:65109

Higher-order estimates for fully nonlinear difference equations. II. (English summary)2003b:65110

Hyman, James M. (withMorel, Jim Emanuel; Shashkov, M. Yu.; Steinberg, StanlyL.) Mimetic finite difference methods for diffusion equations. (English summary)2003m:65193

Iliev, Oleg P. see Ewing, Richard E. et al., 2003c:65104Jakobsen, Espen Robstad see Barles, Guy, 2003h:65142Jovanovic, Bosko S. (with Kandilarov, Yu. D.; Volkov, Lyuben G.) Construction andconvergence of difference schemes for a model elliptic equation with Dirac-delta functioncoefficient. (English summary) (see 2003e:65003)(with Popovic, Branislav Z.) Convergence of a finite difference scheme for the thirdboundary-value problem for an elliptic equation with variable coefficients. (Englishsummary) 2003e:65190

Kandilarov, Yu. D. see Jovanovic, Bosko S. et al., (2003e:65003)Karaa, S. (with Zhang, Jun2) Convergence and performance of iterativemethods forsolving variable coefficient convection-diffusion equation with a fourth-order compactdifference scheme. (English summary) 2003d:65099

Kostova, Tanya An explicit third-order numerical method for size-structured populationequations. (English summary) 2003k:65132

Kouatchou, Jules see Zhang, Jun2 et al., 2003c:65107 and 2003e:65194

Lai, Ming-Chih (with Lin, Wen-Wei; Wang, Weichung) A fast spectral/differencemethod without pole conditions for Poisson-type equations in cylindrical and sphericalgeometries. (English summary) 2003j:65100

(withWang,Wei-Cheng) Fast direct solvers for Poisson equation on 2D polar andspherical geometries. (English summary) 2003e:65191

Lazarov, RaytchoD. see Ewing, Richard E. et al., 2003c:65104Li, Shou Fu see Zhang, Yuan2

Liang, Shengde (withMa, Xiuling; Zhou, Aihui) A symmetric finite volume scheme forselfadjoint elliptic problems. (English summary) 2003h:65144

Lin, Wen-Wei see Lai, Ming-Chih et al., 2003j:65100

NUMERICAL ANALYSIS65N06 2003 1928

Linß, Torsten seeWollstein, Dirk et al., 2003b:65112Lipnikov, Konstantin see Berndt,M. et al., 2003a:65085Lisbona, Francisco J. seeClavero Gracia, Carmelo et al., 2003g:65132Luce, Robert (with Perez, Sylvie) A numerical upscaling method for an elliptic equationwith heterogeneous tensorial coefficients. (English summary) 2003c:65105

Ma, Xiuling see Liang, Shengde et al., 2003h:65144Malafeı, D. A. seeMazhukin,Vladimir I. et al., 2003h:65145de Malafosse, Bruno seeMedeghri, Ahmed, 2003f:65179Matus, Petr P. seeMazhukin, Vladimir I. et al., 2003h:65145 and Samarskiı, A. A. et al.,

2003h:65147

Mazhukin,Vladimir I. (withMalafeı, D. A.; Matus, Petr P.; Samarskiı, A. A.) Differenceschemes on nonuniform grids for equations of mathematical physics with variablecoefficients. (Russian. Russian summary) 2003h:65145

see also Samarskiı, A. A. et al., 2003h:65147McDonough, James see Schueller, Albert W., (2003b:76005)Medeghri, Ahmed (with de Malafosse, Bruno) Numerical scheme for a complete abstractsecond order differential equation of elliptic type. (English summary) 2003f:65179

Miller, J. J. H. see Farrell, P. A. et al., (2003e:65003)Morel, Jim Emanuel see Hyman, James M. et al., 2003m:65193Moulton, J. David see Berndt,M. et al., 2003a:65085Mozolevskiı, I. E. see Samarskiı, A. A. et al., 2003h:65147Nikolaev, E. S. A direct method for solving the Dirichlet problem for the Helmholtzequation on a triangular grid in a rectangle. (Russian. Russian summary) 2003k:65133

O’Riordan, E. see Farrell, P. A. et al., (2003e:65003)Othman,Mohamed see Zhang, Jun2 et al., 2003e:65194Paasonen, V. I. Compact difference schemes for elliptic equations with mixed derivatives onarbitrary grids. (English summary) 2003h:65146

Pakalnite, V. see Ciegis, Raimondas, 2003d:65098Pascal, Frederic (with Ghidaglia, Jean-Michel) Footbridge between finite volumes andfinite elements with applications to CFD. (English summary) 2003g:65133

Perez, Sylvie see Luce, Robert, 2003c:65105Pokorny, Imrich see Ayrian, E. A. et al., (2003c:00022)Popovic, Branislav Z. see Jovanovic, Bosko S., 2003e:65190Puzynin, Igor V. see Ayrian, E. A. et al., (2003c:00022)Reusken, Arnold Convergence analysis of a multigrid method for convection-diffusionequations. (English summary) 2003c:65106

Roos,Hans-Gorg seeWollstein, Dirk et al., 2003b:65112Rui, Hong Xing Symmetric modified finite volume element methods for self-adjoint ellipticand parabolic problems. (English summary) 2003j:65101

L2-norm error estimates of a generalized difference method for elliptic problems.(Chinese. English summary) 2003j:65102

Saldanha,Godfrey Single cell discretizations of order two and four for self-adjoint ellipticicequations. (English summary)

Samarskiı, A. A. (withMatus, Petr P.; Mazhukin, Vladimir I.; Mozolevskiı, I. E.)Monotone difference schemes for equations with mixed derivatives. (English summary)2003h:65147

see alsoMazhukin, Vladimir I. et al., 2003h:65145 and Vabishchevich, Petr N.,2003j:65103

Schueller, Albert W. (withMcDonough, James) A multilevel, parallel, domain decomposi-tion, finite-difference Poisson solver. (English summary) (see 2003b:76005)

Shapira, Yair Adequacy of finite difference schemes for convection-diffusion equations.(English summary) 2003b:65111

Shashkov,M. Yu. see Berndt, M. et al., 2003a:65085 and Hyman, James M. et al.,2003m:65193

Shishkin, Grigorii I. Grid approximation of solutions and derivatives in the case ofsingularly perturbed elliptic convection-diffusionequations. (Russian) 2003h:65148

see also Clavero Gracia, Carmelo et al., 2003g:65132;Farrell, P. A. et al., (2003e:65003)and Tselishcheva, Irina V., (2003e:65003)

Sidilkover, David Factorizable schemes for the equations of fluid flow. (English summary)(see 2003f:65006)

Steinberg,Stanly L. see Hyman, James M. et al., 2003m:65193Strakhovskaya,L. G. see Zhukov, V. T. et al., 2003c:65108Tselishcheva, Irina V. (with Shishkin, Grigorii I.) A domain decomposition finite differencemethod for singularly perturbed elliptic equations in composed domains. (Englishsummary) (see 2003e:65003)

Vabishchevich, Petr N. (with Samarskiı, A. A.) Monotone difference schemes forconvection-diffusion problems on triangular grids. (Russian. Russian summary)2003j:65103

do Val, Joao B. R. (with Andrade, Marinho G.) On mean value solutions for theHelmholtz equation on square grids. (English summary) 2003e:65192

Voıtsekhovs′kiı, Sergıı O. (with Fılımonıkhına, Olena A.) Increasing the accuracy ofdifference solutions for the problem of the bending of an orthotropic rectangular platewith freely supported edges. (Ukrainian. English and Ukrainian summaries)

Volkov, E. A. On upper and lower bounds of the error of the difference solution tothe Dirichlet problem for the Laplace equation in a cylinder. (English summary)2003e:65193

Volkov, Lyuben G. see Jovanovic, Bosko S. et al., (2003e:65003)Wang, Song1 Solving convection-dominated anisotropic diffusion equations by anexponentially fitted finite volume method. (English summary) 2003k:65134

Wang,Wei-Cheng see Lai, Ming-Chih, 2003e:65191Wang,Weichung see Lai, Ming-Chih et al., 2003j:65100Wollstein, Dirk (with Linß, Torsten; Roos, Hans-Gorg) A uniformly accurate finite volumediscretization for a convection-diffusion problem. (English summary) 2003b:65112

Yamamoto, Tetsuro Convergence of consistent and inconsistent finite difference schemesand an acceleration technique. (English summary) 2003j:65104

Zhang, Jun2 (with Kouatchou, Jules; Othman, Mohamed) On cyclic reduction and finitedifference schemes. (English summary) 2003e:65194(with Kouatchou, Jules; Ge, Lixin) A family of fourth-order difference schemes onrotated grid for two-dimensional convection-diffusion equation. (English summary)2003c:65107

see also Karaa, S., 2003d:65099Zhang, Yuan2 (with Li, Shou Fu) Numerical experiments for five-point and nine-pointdifference approximations of a diffusion operator on irregular quadrilateral grids.(Chinese. English and Chinese summaries)

Zhou, Aihui see Liang, Shengde et al., 2003h:65144Zhukov, V. T. (with Strakhovskaya, L. G.; Fedorenko, R. P.; Feodoritova, O. B.) Ona direction in the construction of difference schemes. (Russian. Russian summary)2003c:65108

Items with secondary classifications in 65N06

Aavatsmark, Ivar An introduction to multipoint flux approximations for quadrilateralgrids. (English summary)

Ansari, Ali R. (with Hegarty, Alan F.; Shishkin, Grigorii I.) A parameter robust methodfor a problem with a symmetry boundary layer. (English summary) (see 2003e:65003)

Berikelashvili, Givi The convergence inW 12 of the difference solution to the third boundary

value problem of elasticity theory.Brigadnov, I. A. A variational-differencemethod for estimating the electrical strength ofdielectrics. (Russian. English and Russian summaries) 2003j:78041

Buikis, Andris (with Kalis, Harijs) Numerical modelling of heat and magnetohydrody-namic flows in a finite cylinder. (English summary) 2003m:78027

Cheung, WilliamM. (with Ng, Michael K.) Block-circulant preconditioners for systemsarising from discretization of the three-dimensional convection-diffusion equation.(English summary) 2003h:65034

Clavero Gracia, Carmelo see Gaspar, Francisco J. et al., (2003e:65003)Coleman, James Henry (with Sulem, Catherine) Numerical simulation of blow-upsolutions of the vector nonlinear Schrodinger equation. (English summary) 2003j:35293

D′yakonov, E. G. Asymptotically optimal algorithms for stationary problems in energyspaces on composite manifolds. (Russian) 2003j:47089

Ferm, Lars (with Lotstedt, Per) On numerical errors in the boundary conditions of theEuler equations. (English summary) 2003a:76083

Fournie,M. Numerical discretization of energy-transportmodel for semiconductors usinghigh-order compact schemes. (English summary) 2003d:82119

Gaspar, Francisco J. (with Lisbona, Francisco J.; Clavero Gracia, Carmelo) Multigridmethods and finite difference schemes for 2D singularly perturbed problems. (Englishsummary) (see 2003e:65003)

Hegarty, Alan F. see Ansari, Ali R. et al., (2003e:65003)Hirano, Hiroyuki (with Niki, Hiroshi; Okamoto, Naotaka) Application of preconditioningiterativemethods to the numerical calculation with a boundary-fitted coordinate system.(English summary)

Jeltsch, Rolf see Scascighini,A. et al., 2003m:76138Kalis, Harijs Effective finite-differencemethods for the solutions of filtration problems inmultilayer domains. (English summary) 2003c:76084see also Buikis, Andris, 2003m:78027

Laurent, Frederique Analyse numerique d’une methode multi-fluide eulerienne pour ladescription de sprays qui s’evaporent. (English and French summaries) [Numericalanalysis of an Eulerian multi-fluid method for the description of evaporating sprays]2003a:76087

Lazarov, RaytchoD. (with Vassilevski, Panayot S.) Numerical methods for convection-diffusion problems on general grids. (English summary) (see 2003h:41001)

Lisbona, Francisco J. seeGaspar, Francisco J. et al., (2003e:65003)Lotstedt, Per see Ferm, Lars, 2003a:76083MacMullen,H. (with O’Riordan, E.; Shishkin, Grigorii I.) The convergence of classicalSchwarz methods applied to convection-diffusion problems with regular boundary layers.(English summary) 2003i:65126

Milyukova, O. Yu. Parallel approximate factorization method for solving discrete ellipticequations. (English summary) 2003e:65200

Ng, Michael K. see Cheung,William M., 2003h:65034Niki, Hiroshi see Hirano, Hiroyuki et al.

Okamoto, Naotaka see Hirano, Hiroyuki et al.

O’Riordan, E. seeMacMullen,H. et al., 2003i:65126Pillai, A. C. Radhakrishna Fourth-order exponential finite differencemethods for boundaryvalue problems of convectivediffusion type. (English summary) 2003d:65070

Ringhofer, Christian A mixed spectral-differencemethod for the steady state Boltzmann-Poisson system. (English summary) 2003m:65216

Roos, Hans-Gorg Optimal convergence of basic schemes for elliptic boundary valueproblems with strong parabolic layers. (English summary) 2003e:65228

Scascighini, A. (with Troxler, A.; Jeltsch, Rolf) A numerical method for inverse designbased on the inverse Euler equations. (English summary) 2003m:76138

Sethian, J. A. Fast algorithms for optimal control, anisotropic front propagation andmultiple arrivals. (English summary) 2003m:49053

Shishkin, Grigorii I. seeMacMullen,H. et al., 2003i:65126 and Ansari, Ali R. et al.,(2003e:65003)

Sidilkover, David Factorizable schemes for the equations of fluid flow. (English summary)2003c:76086

Sulem, Catherine see Coleman, James Henry, 2003j:35293Troxler, A. see Scascighini,A. et al., 2003m:76138

Ushakova, Olga V. Conditions of nondegeneracy of three-dimensional cells. A formula of avolume of cells. (English summary) 2003f:65199

Vassilevski, Panayot S. see Lazarov, RaytchoD., (2003h:41001)Yang, Suh-Yuh Analysis of least-squares approximations to second-order elliptic problems.II. Finite volume method. (English summary) 2003f:65181

Zakharov, Yu. N. On a method for solving a steady-state flow problem. (Russian. Englishsummary)

65N12 Stability and convergence of numerical methods

Bertoluzza, Silvia (with Verani, M.) Convergence of a nonlinear wavelet algorithm for thesolution of PDEs. (English summary) 2003i:65096

Brezzi, Franco (withMarini, Luisa Donatella) Subgrid phenomena and numericalschemes. (English summary) 2003i:65097


Kwon, Kie-Chan see Park, Sang-Hoonet al.

Marini, Luisa Donatella see Brezzi, Franco, 2003i:65097Nafa, Kamel (with Touafek, Nouressadat) Stability of a trilinear-trilinearapproximationfor the Stokes equations. (English summary)

Otelbaev,M. O. see Smagulov, Sh. S., 2003a:65088Park, Sang-Hoon (with Kwon, Kie-Chan; Youn, Sung-Kie) A study on the convergence ofleast-squares meshfree method under inaccurate integration. (English summary)

Smagulov, Sh. S. (with Otelbaev, M. O.) On a new method for approximate solutions ofnonlinear equations in an arbitrary domain. (Russian. English summary) 2003a:65088

Touafek, Nouressadat see Nafa, Kamel

Verani, M. see Bertoluzza, Silvia, 2003i:65096Ye, Xiu Superconvergence of nonconforming finite element method for the Stokesequations. (English summary) 2003c:65109

Youn, Sung-Kie see Park, Sang-Hoon et al.


Allen, Edward J. (with Burns, John A.; Gilliam, D. S.; Hill, J.; Shubov, V. I.) The impact offinite precision arithmetic and sensitivity on the numerical solution of partial differentialequations. (English summary) 2003e:65079

Amara, Mohamed (with Chacon Vera, Eliseo; Trujillo, David) A three field stabilized finiteelement method for the Stokes equations. (English and French summaries) 2003e:65205

(with Capatina-Papaghiuc,Daniela; Chatti, Amna) Bending moment mixed method forthe Kirchhoff-Love plate model. (English summary) 2003k:74058

Arnold, Douglas N. (withWinther, Ragnar) Mixed finite elements for elasticity. (Englishsummary) 2003i:65103

Artyugin, V. G. Methods for solving difference equations in the case of nonhomogeneousmedia. (Russian. Russian summary) 2003e:65198

Arunakirinathar, K. (with Reddy, B. D.) A stable affine-approximate finite element method.(English summary) 2003g:65137

Berikelashvili, Givi On the convergence of finite-difference scheme for a nonlocal ellipticboundary value problem. (English summary) 2003m:65191

Brezzi, Franco (with Hughes, Thomas J. R.; Suli, Endre) Variational approximation of fluxin conforming finite element methods for elliptic partial differential equations: a modelproblem. (English and Italian summaries) 2003e:65210

Burns, John A. see Allen, Edward J. et al., 2003e:65079Capatina-Papaghiuc,Daniela Nonconforming methods and numerical locking. Applica-tions. (English summary) 2003c:65115see also Amara, Mohamed et al., 2003k:74058

Chacon Vera, Eliseo see Amara, Mohamed et al., 2003e:65205Chatti, Amna see Amara, Mohamed et al., 2003k:74058Chavent,Guy (with Kunisch, Karl) The output least squares identifiability of the diffusioncoefficient from an H 1-observation in a 2-D elliptic equation. (English summary)2003k:93101

Chen, Jin-ru (with Xu, Xue-jun) Uniform convergence and Schwarz method for themortar projection nonconforming and mixed element methods for nonselfadjoint andindefinite problems. (English summary) 2003k:65143

Chinosi, C. Remarks on some mixed finite element schemes for Reissner-Mindlin platemodel. (English summary) 2003f:74045

Dauge,Monique (with Schwab, Christoph) hp-FEM for three-dimensional elastic plates.(English summary) 2003h:65155

Davini, Cesare Γ-convergence of external approximations in boundary value problemsinvolving the bi-Laplacian. (English summary) 2003j:65114

Demlow, Alan Suboptimal and optimal convergence in mixed finite element methods.(English summary) 2003e:65216


Droniou, Jerome (with Gallouet, Thierry) Finite volume methods for convection-diffusionequations with right-hand side inH−1. (English summary) 2003m:65192

El Sossa, Hasna (with Paquet, Luc) Refined mixed finite element method for the Poissonproblem in a polygonal domain with a reentrant corner. (English summary) 2003j:65115

Ewing, Richard E. (with Iliev, Oleg P.; Lazarov, Raytcho D.) A modified finite volumeapproximation of second-order elliptic equations with discontinuous coefficients.(English summary) 2003c:65104

Farrell, P. A. (with Hegarty, Alan F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, Grigorii I.)Parameter-uniformnumerical methods for a class of singularly perturbed problems witha Neumann boundary condition. (English summary) (see 2003e:65003)

Gallouet, Thierry see Droniou, Jerome, 2003m:65192

Ge, Lixin see Zhang, Jun2 et al., 2003c:65107Gilliam, D. S. see Allen, Edward J. et al., 2003e:65079Hegarty, Alan F. see Farrell, P. A. et al., (2003e:65003)Hill, J. see Allen, Edward J. et al., 2003e:65079Hochmuth, Reinhard A localized boundary element method for the floating body problem.(English summary) 2003b:65130

Hong, Seungwoo (with Kim, Kyungsoo; Lee, Sungyun) Modified cross-grid finite elementsfor the Stokes problem. (English summary) 2003i:65106

Huang,H. T. see Li, Zi Cai, 2003j:65118Huang, Yun Qing (with Xue, Wei Min1) Convergence of finite element approximations andmultilevel linearization for Ginzburg-Landau model of d -wave superconductors. (Englishsummary) 2003m:82103

Hughes, Thomas J. R. see Brezzi, Franco et al., 2003e:65210Iliev, Oleg P. see Ewing, Richard E. et al., 2003c:65104Jovanovic, Bosko S. (with Kandilarov, Yu. D.; Volkov, Lyuben G.) Construction andconvergence of difference schemes for a model elliptic equation with Dirac-delta functioncoefficient. (English summary) (see 2003e:65003)(with Popovic, Branislav Z.) Convergence of a finite difference scheme for the thirdboundary-value problem for an elliptic equation with variable coefficients. (Englishsummary) 2003e:65190

Kandilarov, Yu. D. see Jovanovic, Bosko S. et al., (2003e:65003)Kim, Kyungsoo see Hong, Seungwoo et al., 2003i:65106Kouatchou, Jules see Zhang, Jun2 et al., 2003c:65107

Kunisch, Karl see Chavent, Guy, 2003k:93101Lazarov, RaytchoD. see Ewing, Richard E. et al., 2003c:65104Lee, Sungyun see Hong, Seungwoo et al., 2003i:65106Li, Ji Chun Uniform convergence of discontinuous finite element methods for singularlyperturbed reaction-diffusion problems. (English summary) 2003c:65127

Li, Kai Tai (withWang, Li Zhou) Spectral Galerkin approximation of branches ofnonsingular solutions for the Navier-Stokes equations. (Chinese. English summary)2003c:76090

Li, Zi Cai (with Huang, H. T.) Global superconvergence of simplified hybrid combinationsof the Ritz-Galerkin and FEMs for elliptic equations with singularities. II. Lagrangeelements and Adini’s elements. (English summary) 2003j:65118

(with Lu, T. T.) Global superconvergence of finite element methods for biharmonicequations and blending surfaces. (English summary) 2003h:65158

Liang, Shengde (withMa, Xiuling; Zhou, Aihui) A symmetric finite volume scheme forselfadjoint elliptic problems. (English summary) 2003h:65144

Lin, Jia Fu (with Lin, Qun1) Superconvergence of a finite element method for thebiharmonic equation. (English summary) 2003b:65123

Lin, Qun1 see Lin, Jia Fu, 2003b:65123Linß, Torsten seeWollstein, Dirk et al., 2003b:65112Lu, T. T. see Li, Zi Cai, 2003h:65158Lui, S. H. On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs.(English summary) 2003j:65128

Ma, Xiuling see Liang, Shengde et al., 2003h:65144MacMullen,H. (with O’Riordan, E.; Shishkin, Grigorii I.) The convergence of classicalSchwarz methods applied to convection-diffusion problems with regular boundary layers.(English summary) 2003i:65126

Maday, Yvon (with Patera, Anthony T.; Turinici, Gabriel) Global a priori convergencetheory for reduced-basis approximations of single-parameter symmetric coercive ellipticpartial differential equations. (English and French summaries) 2003h:65161

Matache, Ana-Maria see Schwab, Christoph, 2003i:65115Miller, J. J. H. see Farrell, P. A. et al., (2003e:65003)O’Riordan, E. seeMacMullen,H. et al., 2003i:65126 and Farrell, P. A. et al., (2003e:65003)Paquet, Luc see El Sossa, Hasna, 2003j:65115Patera, AnthonyT. seeMaday, Yvon et al., 2003h:65161Popovic, Branislav Z. see Jovanovic, Bosko S., 2003e:65190Reddy, B. D. see Arunakirinathar, K., 2003g:65137Roos, Hans-Gorg Optimal convergence of basic schemes for elliptic boundary valueproblems with strong parabolic layers. (English summary) 2003e:65228see alsoWollstein, Dirk et al., 2003b:65112

Schwab, Christoph (withMatache, Ana-Maria) Generalized FEM for homogenizationproblems. (English summary) 2003i:65115

see also Dauge,Monique, 2003h:65155Shishkin, Grigorii I. seeMacMullen,H. et al., 2003i:65126 and Farrell, P. A. et al.,(2003e:65003)

Shubov, V. I. see Allen, Edward J. et al., 2003e:65079Steinbach,Olaf On a generalizedL2 projection and some related stability estimates inSobolev spaces. (English summary) 2003a:65111

Suli, Endre see Brezzi, Franco et al., 2003e:65210Tidriri, Moulay D. Analysis of the hybrid finite element/finite volume methods for linearhyperbolic and convection-dominatedconvection-diffusion problems. (English summary)2003b:65124

Convergence analysis of a transmission algorithm for convection-diffusion problems.(English summary) 2003f:35236

Toselli, Andrea hp discontinuous Galerkin approximations for the Stokes problem.(English summary) 2003m:65211

Trujillo, David see Amara, Mohamed et al., 2003e:65205Turinici, Gabriel seeMaday, Yvon et al., 2003h:65161Veeser, Andreas Convergent adaptive finite elements for the nonlinear Laplacian. (Englishsummary) 2003j:65121

Volkov, Lyuben G. see Jovanovic, Bosko S. et al., (2003e:65003)Wang, Li Zhou see Li, Kai Tai, 2003c:76090Wang, Xiaoshen (with Ye, Xiu) Superconvergence analysis for the Navier-Stokes equations.(English summary) 2003d:76109

Winther, Ragnar see Arnold, Douglas N., 2003i:65103Wollstein, Dirk (with Linß, Torsten; Roos, Hans-Gorg) A uniformly accurate finite volumediscretization for a convection-diffusion problem. (English summary) 2003b:65112

Xu, Xue-jun see Chen, Jin-ru, 2003k:65143Xue, Wei Min1 see Huang, Yun Qing, 2003m:82103Yamamoto, Tetsuro Convergence of consistent and inconsistent finite difference schemesand an acceleration technique. (English summary) 2003j:65104

Ye, Xiu seeWang, Xiaoshen, 2003d:76109Zeng, Jin Ping (with Zhou, Shu Zi) The monotone convergence and convergence rateanalysis of domain decomposition methods for solving unilateral obstacle problems.(Chinese. English summary) 2003m:65214

Zhang, Jun2 (with Kouatchou, Jules; Ge, Lixin) A family of fourth-order differenceschemes on rotated grid for two-dimensional convection-diffusion equation. (Englishsummary) 2003c:65107

Zhou, Aihui see Liang, Shengde et al., 2003h:65144Zhou, Shu Zi see Zeng, Jin Ping, 2003m:65214

Zlotnik, A. A. On superconvergence of a gradient for finite element methods for an ellipticequation with the nonsmooth right-hand side. (English summary) 2003m:65215

65N15 Error bounds

Achchab, B. (with Achchab, Said; Agouzal, Abdellatif; Ellaia, R.) On a posteriori errorestimator for primal, equilibrium and mixed approximation of diffusion equations.(English summary) 2003m:65194

Achchab, Said see Achchab, B. et al., 2003m:65194

Adjerid, Slimane A posteriori error estimates for fourth-order elliptic problems. (Englishsummary) 2003j:65105


Agouzal,Abdellatif see Achchab, B. et al., 2003m:65194

Angermann, Lutz A posteriori error estimates for FEM with violated Galerkin orthogonal-ity. (English summary) 2003b:65113

Babuska, Ivo M. (with Strouboulis, T.) Can we trust the computational analysis ofengineering problems? 2003g:65134

see also Zhang, Lin et al., 2003a:65091 and 2003e:65197Beck, Rudolf (with Hiptmair, R.; Wohlmuth, Barbara I.) Hierarchical error estimator foreddy current computation. (see 2003f:65007)

Becker, Roland (with Hansbo, Peter; Larson, Mats G.) Energy norm a posteriori errorestimation for discontinuous Galerkin methods. (English summary) 2003k:65135

Bernardi, Christine (with Fietier, Nicolas; Owens, Robert G.) An error indicator formortar element solutions to the Stokes problem. (English summary) 2003g:65135

Buß, Hinderk Martens (with Repin, S. I.) A posteriori error estimates for boundary valueproblems with obstacles. (English summary) (see 2003f:65007)

Choi, Hae-Won (with Paraschivoiu,Marius) A posteriori finite element output boundswith adaptivemesh refinement: application to a heat transfer problem in a three-dimensional rectangular duct. (English summary) 2003h:65149

Dıez, Pedro (with Pares, Nuria; Huerta, Antonio) Recovering lower bounds of the error bypostprocessing implicit residual a posteriori error estimates. (English summary)

Dorfler, Willi (with Nochetto, Ricardo H.) Small data oscillation implies the saturationassumption. (English summary) 2003e:65195

Ellaia, R. see Achchab, B. et al., 2003m:65194

Fietier, Nicolas see Bernardi, Christine et al., 2003g:65135Hansbo, Peter see Becker, Roland et al., 2003k:65135Hiptmair, R. see Beck, Rudolf et al., (2003f:65007)Huerta, Antonio see Dıez, Pedro et al.Kang, Tong (with Yu, De Hao) A posteriori error estimate of the DSD method for first-order hyperbolic equations. (Chinese. English and Chinese summaries) 2003k:65136

Kunert, Gerd Robust a posteriori error estimation for a singularly perturbed reaction-diffusion equation on anisotropic tetrahedralmeshes. (English summary) 2003b:65114

Kvamsdal, Trond seeMelbø, Hallgeir, 2003m:65195

Larson, Mats G. see Becker, Roland et al., 2003k:65135Lazarov, RaytchoD. (with Tomov, Stanimire Z.; Vassilevski, Panayot S.) Interior penaltydiscontinuous approximations of elliptic problems. (English summary) 2003e:65196

Liu, Wen Bin1 (withMa, He-ping; Tang, Tao) On mixed error estimates for ellipticobstacle problems. (English summary) 2003a:65089

Ma, He-ping see Liu, Wen Bin1 et al., 2003a:65089Melbø,Hallgeir (with Kvamsdal, Trond) Goal oriented error estimators for Stokesequations based on variationally consistent postprocessing. (English summary)2003m:65195

Nochetto, Ricardo H. see Dorfler, Willi, 2003e:65195Oden, J. Tinsley see Romkes, A. et al.

Owens, Robert G. see Bernardi, Christine et al., 2003g:65135Paraschivoiu,Marius see Choi, Hae-Won, 2003h:65149Pares, Nuria see Dıez, Pedro et al.

Prudhomme, Serge see Romkes, A. et al.

Repin, S. I. see Buß, Hinderk Martens, (2003f:65007)Romkes, A. (with Prudhomme, Serge; Oden, J. Tinsley) A posteriori error estimation for anew stabilized discontinuous Galerkin method. (English summary)

Schieweck, Friedhelm A posteriori error estimates with post-processing for nonconformingfinite elements. (English summary) 2003k:65137

Strouboulis, T. see Zhang, Lin et al., 2003a:65091; 2003e:65197 and Babuska, Ivo M.,2003g:65134

Tang, Tao see Liu, Wen Bin1 et al., 2003a:65089Tomov, Stanimire Z. see Lazarov, RaytchoD. et al., 2003e:65196Vassilevski, Panayot S. see Lazarov, RaytchoD. et al., 2003e:65196Vemaganti, Kumar Local error estimation for dimensionally reduced models of ellipticboundary value problems. (English summary) 2003m:65196

Wohlmuth, Barbara I. see Beck, Rudolf et al., (2003f:65007)Yan,Ningning A posteriori error estimators of gradient recovery type for elliptic obstacleproblems. (English summary) 2003a:65090

Yang, Suh-Yuh Analysis of least-squares approximations to second-order elliptic problems.I. Finite element method. (English summary) 2003f:65180

Analysis of least-squares approximations to second-order elliptic problems. II. Finitevolume method. (English summary) 2003f:65181

Yu,De Hao see Kang, Tong, 2003k:65136Zhang, Lin (with Strouboulis, T.; Babuska, Ivo M.) A posteriori estimators for the FEM:analysis of the robustness of the estimators for the Poisson equation. (English summary)2003a:65091

(with Strouboulis, T.; Babuska, Ivo M.) B%-superconvergenceof finite element solutionsand error estimators. (English summary) 2003e:65197

Zhang, Zhimin A posteriori error estimates on irregular grids based on gradient recovery.(English summary) 2003a:65092

Items with secondary classifications in 65N15Achchab,B. (with Laayouni, L.; Polman, B.; Souissi, A.) Anisotropic a posteriori errorestimations in convection-diffusionwith dominant convection. (English summary)

Adjerid, Slimane (withMassey, Thomas C.) A posteriori discontinuous finite element errorestimation for two-dimensional hyperbolic problems. (English summary) 2003j:65110

Agouzal,Abdellatif On the saturation assumption and hierarchical a posteriori errorestimator. (English summary) 2003j:65111

Ainsworth, Mark (with Oden, J. Tinsley) A posteriori error estimation in finite elementanalysis. (English summary) 2003b:65001(with Kelly, Donald W.) A posteriori error estimators and adaptivity for finite elementapproximation of the non-homogeneous Dirichlet problem. (English summary)2003a:65096

(with Pinchedez,Katia) The hp-MITC finite element for the Reissner-Mindlin plateproblem. (English summary) 2003i:65102

Alami-Idrissi, A. (with Atounti, M.) An error estimate for finite volume methods for theStokes equations. (English summary) 2003c:76080

Amara, Mohamed (with Chacon Vera, Eliseo; Trujillo, David) A three field stabilized finiteelement method for the Stokes equations. (English and French summaries) 2003e:65205


Andrade, MarinhoG. see do Val, Joao B. R., 2003e:65192Andreev, A. B. see Racheva, Milena R., 2003k:65139Apel, Thomas (with Nicaise, Serge; Schoberl, Joachim) A non-conforming finite elementmethod with anisotropic mesh grading for the Stokes problem in domains with edges.(English summary) 2003a:65100

(with Sandig, Anna-Margarete; Solov′ev, S. I.) Computation of 3D vertex singularitiesfor linear elasticity: error estimates for a finite element method on graded meshes.(English summary) 2003k:74024

Araya, Rodolfo (with Barrios, Tomas P.; Gatica, Gabriel N.; Heuer, Norbert) A posteriorierror estimates for a mixed-FEM formulation of a non-linear elliptic problem. (Englishsummary) 2003e:65206

Arnold, Douglas N. (withWinther, Ragnar) Mixed finite elements for elasticity. (Englishsummary) 2003i:65103

Atounti,M. see Alami-Idrissi, A., 2003c:76080Bao, Weizhu An economical finite element approximation of generalizedNewtonian flows.(English summary) 2003d:76102

(with Han, Hou-de) Error bounds for the finite element approximation of an incom-pressible material in an unbounded domain. (English summary) 2003j:74054

Barles, Guy (with Jakobsen, Espen Robstad) On the convergence rate of approximationschemes for Hamilton-Jacobi-Bellmanequations. (English summary) 2003h:65142

Barrenechea, Gabriel R. (with Valentin, Frederic) An unusual stabilized finite elementmethod for a generalized Stokes problem. (English summary) 2003i:76063

Barrientos, Mauricio A. (with Gatica, Gabriel N.; Maischak, Matthias) A posteriori errorestimates for linear exterior problems via mixed-FEM and DtN mappings. (Englishsummary) 2003c:65113

(with Gatica,Gabriel N.; Stephan, Ernst P.) A mixed finite elementmethod for nonlinearelasticity: two-fold saddle point approach and a-posteriori error estimate. (Englishsummary) 2003c:65114

Barrios, Tomas P. see Araya, Rodolfo et al., 2003e:65206Bartels, Soren see Carstensen, Carsten et al., 2003a:65104 and 2003g:65139Becker, Roland (with Heuveline, V.; Rannacher, Rolf) An optimal control approach toadaptivity in computational fluid mechanics. (English summary) 2003i:76064

Bedivan, D. M. Error estimates for least squares finite element methods. (English summary)2003d:65100

Bermudez de Castro, Alfredo (with Hervella-Nieto, Luis; Rodrıguez, Rodolfo) A modalsynthesis method for the elastoacoustic vibration problem. (English summary)2003e:65208

Bernardi, Christine (withMaday, Yvon) Spectral element discretizations of the Poissonequation with mixed boundary conditions. (English and Georgian summaries)2003d:65113

(with Girault, Vivette; Hecht, Frederic; Kawarada, Hideo; Pironneau, Olivier) Afinite element problem issued from fictitious domain techniques. (English summary)2003b:65116

Berrone, Stefano Robustness in a posteriori error analysis for FEM flow models. (Englishsummary) 2003d:76103

Bhattacharyya, Pulin Kumar (with Nataraj, Neela) Error estimates for isoparametricmixed finite element solution of 4th order elliptic problems with variable coefficients.(English summary) 2003c:74089

Bi, Chunjia (with Li, Likang) The mortar finite volume method with the Crouzeix-Raviartelement for elliptic problems. (English summary) 2003m:65199

Boulbrachene,Messaoud Pointwise error estimate for a noncoercive system of quasi-variational inequalities related to the management of energy production. (Englishsummary)

Brayanov, I. A. Finite volume difference scheme for a stiff elliptic reaction-diffusionproblem with a line interface. (English summary) (see 2003e:65003)

Cai, Zhiqiang (with Shin, Byeong Chun) The discrete first-order system least squares: thesecond-order elliptic boundary value problem. (English summary) 2003f:65189

Capatina-Papaghiuc,Daniela see Amara, Mohamed et al., 2003k:74058Carstensen, Carsten (with Bartels, Soren; Klose, Roland) An experimental survey ofa posteriori Courant finite element error control for the Poisson equation. (Englishsummary) 2003a:65104

(with Bartels, Soren; Jansche, Stefan) A posteriori error estimates for nonconformingfinite element methods. (English summary) 2003g:65139

Residual-based a posteriori error estimate for a nonconforming Reissner-Mindlin platefinite element. (English summary) 2003e:65213

Casas Renterıa, Eduardo Error estimates for the numerical approximation of semilinearelliptic control problems with finitely many state constraints. (English summary)2003i:49056

Chacon Vera, Eliseo see Amara, Mohamed et al., 2003e:65205Chatti, Amna see Amara, Mohamed et al., 2003k:74058Chatzipantelidis,Panagiotis Finite volume methods for elliptic PDE’s: a new approach.(English summary) 2003e:65189

Chen, Jin-ru (with Xu, Xue-jun) The mortar element method for rotated Q1 element.(English summary) 2003f:65190

(with Cui, Jun-Zhi) Two-scale curved element method for elliptic problems with smallperiodic coefficients. (English summary) 2003e:65215

Chen, Shao Chun see Qiao, ZhongHuaChen, Wen Bin (with Ling, Shi Bo; Huang, Jian Guo) The cascadic multigrid methodof the mortar finite element method for second-order elliptic problems with cornersingularity. (Chinese. English and Chinese summaries) 2003k:65144

Chen, Zhi Ming1 (with Dai, Shibin) On the efficiency of adaptive finite element methodsfor elliptic problems with discontinuous coefficients. (English summary) 2003k:65160

Ciarlet, Philippe G. The finite element method for elliptic problems. (English summary)Cockburn, Bernardo (with Kanschat, Guido; Schotzau, Dominik; Schwab, Christoph)Local discontinuous Galerkin methods for the Stokes system. (English summary)2003g:65141


Cui, Jun-Zhi see Chen, Jin-ru, 2003e:65215Dai, Shibin see Chen, Zhi Ming1, 2003k:65160Dai, Zhen-dong (with Xie, Xiao Ping3; Feng, Min-fu) A stabilized finite elementapproximation of viscoelastic fluid flow. (English and Chinese summaries) 2003h:65154

Demlow, Alan Suboptimal and optimal convergence in mixed finite element methods.(English summary) 2003e:65216

Dıez, Pedro see Huerta, Antonio et al., 2003d:74088and 2003m:65204

Dimitrov, A. (with Schnack, E.) Asymptotical expansion in non-Lipschitzian domains—anumerical approach. (English summary) 2003i:74020

El Sossa, Hasna (with Paquet, Luc) Refined mixed finite element method for the Poissonproblem in a polygonal domain with a reentrant corner. (English summary) 2003j:65115

Ewing, Richard E. (with Lin, Tao1; Lin, Yan-ping) On the accuracy of the finite volumeelement method based on piecewise linear polynomials. (English summary) 2003d:65105

Eymard, Robert (with Gallouet, Thierry; Herbin, Raphaele) Finite volume approximationof elliptic problems and convergence of an approximate gradient. (English summary)2003c:65118

Feistauer,Miloslav (with Najzar, Karel; Sobotıkova, Veronika) On the finite elementanalysis of problems with nonlinear Newton boundary conditions in nonpolygonaldomains. (English summary) 2003g:65142

Feng,Min-fu see Dai, Zhen-dong et al., 2003h:65154Fernandez-Mendez,Sonia see Huerta, Antonio et al., 2003m:65204Gabaldon,Felipe (with Goicolea, Jose Marıa) Error estimation in nonlinear problemsbased on assumed strain elements. (Spanish. English and Spanish summaries)

Gallouet, Thierry see Eymard, Robert et al., 2003c:65118Gatica, Gabriel N. (with Gatica, Luis F.; Stephan, Ernst P.) A FEM-DtN formulation for anon-linear exterior problem in incompressible elasticity. (English summary) 2003k:74059

see also Barrientos, Mauricio A. et al., 2003c:65113;2003c:65114 and Araya, Rodolfo etal., 2003e:65206

Gatica, Luis F. see Gatica, Gabriel N. et al., 2003k:74059Girault, Vivette (with Scott, L. Ridgway) Hermite interpolation of nonsmooth functionspreserving boundary conditions. (English summary) 2003e:65012see also Bernardi, Christine et al., 2003b:65116

Goicolea, Jose Marıa see Gabaldon, FelipeGradinaru, V. (with Hiptmair, R.) Mixed finite elements on sparse grids. (Englishsummary) 2003m:65202

Gu, Hai-ming (with Xu, Xiu-ling) The least-squares mixed finite element methods for adegenerate elliptic problem. (English and Chinese summaries) 2003b:65119

Han, Hou-de (with Zheng, Chun-xiong) Mixed finite element method and high-orderlocal artificial boundary conditions for exterior problems of elliptic equation. (Englishsummary) 2003a:65107(with Zheng, Chun-xiong) Mixed finite element method and higher-order local artificialboundary conditions for exterior 3-D Poisson equation. (English summary) 2003c:65122see also Bao, Weizhu, 2003j:74054

Hecht, Frederic see Bernardi, Christine et al., 2003b:65116Herbin, Raphaele see Eymard, Robert et al., 2003c:65118Hervella-Nieto, Luis see Bermudez de Castro, Alfredo et al., 2003e:65208Heuer, Norbert An hp-adaptive refinement strategy for hypersingular operators onsurfaces. (English summary) 2003b:65129

see also Araya, Rodolfo et al., 2003e:65206Heuveline,V. see Becker, Roland et al., 2003i:76064Hiptmair, R. see Gradinaru, V., 2003m:65202Hochmuth, Reinhard A localized boundary element method for the floating body problem.(English summary) 2003b:65130

Houston, Paul (with Suli, Endre) hp-adaptive discontinuous Galerkin finite elementmethods for first-order hyperbolic problems. (English summary) 2003e:65222(with Senior, Bill; Suli, Endre) hp-discontinuous Galerkin finite element methods forhyperbolic problems: error analysis and adaptivity. (English summary) 2003g:65144(with Schwab, Christoph; Suli, Endre) Discontinuous hp-finite element methods foradvection-diffusion-reactionproblems. (English summary) 2003d:65108

Hsiao, George C. (withMonk, P. B.; Nigam, Nilima) Error analysis of a finite element-integral equation scheme for approximating the time-harmonicMaxwell system. (Englishsummary) 2003j:78057

Huang,H. T. see Li, Zi Cai, 2003j:65118Huang, Jian Guo see Chen, Wen Bin et al., 2003k:65144Huerta, Antonio (with Rodrıguez-Ferran, Antonio; Dıez, Pedro) Error estimation andadaptivity for nonlinear FE analysis. (English summary) 2003d:74088

(with Fernandez-Mendez, Sonia; Dıez, Pedro) Enrichissement des interpolationsd’elements finis en utilisant des methodes sans maillage. (English and French summaries)[Enrichment of finite-element interpolations using mesh-free methods] 2003m:65204

Ibiejugba,Matthew A. see Odekunle,M. R. et al., 2003m:65229Il′in, Valeriı Pavlovich (with Laevskiı, Yu. M.) On high-order compact schemes in the finiteelement method. (English summary) 2003f:65192

Jakobsen, Espen Robstad see Barles, Guy, 2003h:65142Jansche, Stefan see Carstensen, Carsten et al., 2003g:65139Jovanovic, Bosko S. (with Popovic, Branislav Z.) Convergence of a finite difference schemefor the third boundary-value problem for an elliptic equation with variable coefficients.(English summary) 2003e:65190

Jung,Michael1 (with Steinbach, Olaf) A finite element-boundary element algorithm forinhomogeneous boundary value problems. (English summary) 2003b:65120

Kanschat,Guido see Cockburn, Bernardo et al., 2003g:65141Kawarada, Hideo see Bernardi, Christine et al., 2003b:65116Kelly, Donald W. see Ainsworth, Mark, 2003a:65096Kim, SangDong see Ryoo, Cheon Seoung et al., 2003i:65113Kim, Seki see Kim, Yongdeok,2003g:65145Kim, Yongdeok (with Kim, Seki) Stable low order nonconforming quadrilateral finiteelements for the Stokes problem. (English summary) 2003g:65145

Klose, Roland see Carstensen, Carsten et al., 2003a:65104Knopp, T. (with Lube, Gert; Rapin, G.) Stabilized finite element methods with shockcapturing for advection-diffusion problems. (English summary) 2003c:65125

Kunert, Gerd Toward anisotropic mesh construction and error estimation in the finite

element method. (English summary) 2003g:65153

Laayouni, L. see Achchab, B. et al.Laevskiı, Yu. M. see Il′in, Valeriı Pavlovich, 2003f:65192Lazaar, J. (with Nicaise, Serge) A nonconforming finite element method with anisotropicmesh grading for the incompressible Navier-Stokes equations in domains with edges.(English summary) 2003j:65117

Li, Likang see Bi, Chunjia, 2003m:65199

Li, Zi Cai (with Huang, H. T.) Global superconvergence of simplified hybrid combinationsof the Ritz-Galerkin and FEMs for elliptic equations with singularities. II. Lagrangeelements and Adini’s elements. (English summary) 2003j:65118

(with Yan, Ningning) New error estimates of bi-cubic Hermite finite element methodsfor biharmonic equations. (English summary) 2003e:65223

Liberman, Elsa A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate. (English summary) 2003c:74094


Lin, Qun1 see Lin, Jia Fu, 2003b:65123Lin, Tao1 see Ewing, Richard E. et al., 2003d:65105Lin, Yan-ping see Ewing, Richard E. et al., 2003d:65105Ling, Shi Bo see Chen,Wen Bin et al., 2003k:65144Liu, Wen Bin1 (with Yan, Ningning) A posteriori error analysis for control problemgoverned by a nonlinear elliptic equation. (English summary) (see 2003f:65007)(with Yan, Ningning) A posteriori error estimates for distributed convex optimal controlproblems. (English summary) 2003a:49041

(with Yan, Ningning) A posteriori error estimates for control problems governed byStokes equations. (English summary) 2003j:65119

(with Yan, Ningning) On quasi-norm interpolation error estimation and a posteriorierror estimates for p-Laplacian. (English summary) 2003m:65207

Lube, Gert see Otto, F. C. et al., 2003a:65110 and Knopp, T. et al., 2003c:65125Ludwig, M. J. (with Shaw, Simon; Whiteman, J. R.) Adaptive numerical solution of thickplates using first-order shear deformation theory. I. Error estimates. (English summary)2003m:74079(with Shaw, Simon; Whiteman, J. R.) Adaptive numerical solution of thick plates usingfirst-order shear deformation theory. II. Adaptivity. (English summary) 2003m:74080

Maday, Yvon see Bernardi, Christine, 2003d:65113Maischak, Matthias see Barrientos, Mauricio A. et al., 2003c:65113Mardal, Kent Andre (with Tai, Xue-Cheng; Winther, Ragnar) A robust finite elementmethod for Darcy-Stokes flow. (English summary) 2003m:76110

Massey, Thomas C. see Adjerid, Slimane, 2003j:65110Matache, Ana-Maria (with Schwab, Christoph) Two-scale FEM for homogenizationproblems. (English summary) 2003h:65162

Mignot, Alain (with Surry, Claude) Estimation de l’erreur d’interpolation pour deselements finis anisotropes. (English, French and Polish summaries) [Interpolation errorestimates for anisotropic finite elements] 2003i:65109

Ming, Ping-bing (with Shi, Zhong Ci) OptimalL 2 error bounds for MITC3 type element.(English summary) 2003e:65225

Monk, P. B. seeHsiao, George C. et al., 2003j:78057Muller, L. see Otto, F. C. et al., 2003a:65110Muzalevsky, A. V. (with Repin, S. I.) On two-sided error estimates for approximatesolutions of problems in the linear theory of elasticity. (English summary) 2003m:74041

Najzar, Karel see Feistauer,Miloslav et al., 2003g:65142Nataraj, Neela see Bhattacharyya, Pulin Kumar, 2003c:74089Nicaise, Serge see Apel, Thomas et al., 2003a:65100and Lazaar, J., 2003j:65117Nigam, Nilima see Hsiao, George C. et al., 2003j:78057Odekunle,M. R. (with Ibiejugba, MatthewA.; Onumanyi, P.) A posteriori error estimatorfor Lanczos-Chebyshev reduction method. (English summary) 2003m:65229

Oden, J. Tinsley see Ainsworth, Mark, 2003b:65001 and Prudhomme, Serge, 2003m:65222

Onumanyi, P. see Odekunle,M. R. et al., 2003m:65229Otto, F. C. (with Lube, Gert; Muller, L.) An iterative substructuring method for div-stablefinite element approximations of the Oseen problem. (English summary) 2003a:65110

Paquet, Luc see El Sossa, Hasna, 2003j:65115Patera, AnthonyT. see Veroy, Karen et al., 2003m:35052Pinchedez, Katia see Ainsworth, Mark, 2003i:65102Pironneau,Olivier see Bernardi, Christine et al., 2003b:65116Polman, B. seeAchchab, B. et al.

Popovic, Branislav Z. see Jovanovic, Bosko S., 2003e:65190Prudhomme, Serge (with Oden, J. Tinsley) Computable error estimators and adaptivetechniques for fluid flow problems. (English summary) 2003m:65222

Qiao, ZhongHua (with Chen, Shao Chun) Narrow bicubic Hermite rectangular elements.(Chinese. English and Chinese summaries)

Racheva, Milena R. (with Andreev, A. B.) Superconvergence postprocessing for eigenval-ues. (English summary) 2003k:65139

Rannacher, Rolf see Becker, Roland et al., 2003i:76064Rapin, G. see Knopp, T. et al., 2003c:65125Repin, S. I. seeMuzalevsky, A. V., 2003m:74041

Rodrıguez, Rodolfo see Bermudez de Castro, Alfredo et al., 2003e:65208Rodrıguez-Ferran, Antonio seeHuerta, Antonio et al., 2003d:74088Rovas, Dimitrios V. see Veroy, Karen et al., 2003m:35052

Rui, Hong Xing Symmetric modified finite volume element methods for self-adjoint ellipticand parabolic problems. (English summary) 2003j:65101

L2-norm error estimates of a generalized difference method for elliptic problems.(Chinese. English summary) 2003j:65102

Ryoo, Cheon Seoung (with Song, Howan; Kim, Sang Dong) Numerical verification ofsolutions for some unilateral boundary value problems. (English summary) 2003i:65113

Sandig, Anna-Margarete see Apel, Thomas et al., 2003k:74024Schnack, E. see Dimitrov, A., 2003i:74020Schoberl, Joachim see Apel, Thomas et al., 2003a:65100Schotzau,Dominik see Cockburn, Bernardo et al., 2003g:65141Schwab, Christoph see Houston, Paul et al., 2003d:65108;Cockburn, Bernardo et al.,

2003g:65141 andMatache,Ana-Maria, 2003h:65162


Scott,L. Ridgway see Girault, Vivette, 2003e:65012Senior, Bill see Houston, Paul et al., 2003g:65144Shaw, Simon see Ludwig, M. J. et al., 2003m:74079and 2003m:74080

Shi, Dong Yang (with Song, Shi Cang) New error estimates of the incomplete biquadraticnonconforming plate element when the load belongs toH−1(Ω). (Chinese. English andChinese summaries)

Shi, Zhong Ci seeMing, Ping-bing, 2003e:65225Shin, Byeong Chun see Cai, Zhiqiang, 2003f:65189Sobotıkova,Veronika see Feistauer,Miloslav et al., 2003g:65142Solov′ev, S. I. see Apel, Thomas et al., 2003k:74024Song,Howan see Ryoo, Cheon Seoung et al., 2003i:65113Song, Shi Cang see Shi, Dong Yang

Souissi, A. see Achchab, B. et al.

Steinbach,Olaf see Jung, Michael1, 2003b:65120Stephan,Ernst P. see Barrientos, Mauricio A. et al., 2003c:65114 and Gatica, Gabriel N. et

al., 2003k:74059Suli, Endre see Houston, Paul et al., 2003d:65108;2003e:65222 and 2003g:65144

Surry, Claude seeMignot,Alain, 2003i:65109Tai, Xue-Cheng seeMardal, Kent Andre et al., 2003m:76110

Trujillo, David see Amara, Mohamed et al., 2003e:65205do Val, Joao B. R. (with Andrade, Marinho G.) On mean value solutions for theHelmholtz equation on square grids. (English summary) 2003e:65192

Valentin, Frederic see Barrenechea, Gabriel R., 2003i:76063Veroy, Karen (with Rovas, Dimitrios V.; Patera, Anthony T.) A posteriori error estimationfor reduced-basis approximation of parametrized elliptic coercive partial differentialequations: “convex inverse” bound conditioners. (English summary) 2003m:35052

Whiteman, J. R. see Ludwig, M. J. et al., 2003m:74079 and 2003m:74080

Winther, Ragnar see Arnold, Douglas N., 2003i:65103 and Mardal, Kent Andre et al.,2003m:76110

Wu, Jin Biao Numerical approximation of interface problems for elliptic differentialequations. (Chinese. English and Chinese summaries)

Xie, Xiao Ping3 see Dai, Zhen-dong et al., 2003h:65154Xu, Xiu-ling see Gu, Hai-ming, 2003b:65119Xu, Xue-jun see Chen, Jin-ru, 2003f:65190Yan, Jia Bin see Zhang, TieYan, Ningning see Liu, Wen Bin1, 2003a:49041;2003j:65119;2003m:65207; (2003f:65007)and Li, Zi Cai, 2003e:65223

Yang, Suh-Yuh On the subdomain-Galerkin/least squares method for 2- and 3-D mixedelliptic problems with reaction terms. (English summary) 2003g:65148

Zhang, Tie (with Yan, Jia Bin) Derivative recovery techniques for linear finite elements andtheir superconvergence. (Chinese. English and Chinese summaries)

Zhang, Zhimin Derivative superconvergent points in finite element solutions of harmonicfunctions—a theoretical justification. (English summary) 2003k:65155

Zheng, Chun-xiong see Han, Hou-de, 2003a:65107 and 2003c:65122

65N21 Inverse problems

Ait Maalem Lahcen, R. see Białecki, R. A. et al.

Banks, H. T. (with Joyner, Michele L.; Wincheski, Buzz; Winfree, William P.) Real timecomputational algorithms for eddy-current-based damage detection. (English summary)2003h:65150

Białecki, R. A. (with Divo, E.; Kassab, A. J.; Ait Maalem Lahcen, R.) Explicit calculationof smoothed sensitivity coefficients for linear problems. (English summary)

Dimitriu, Gabriel Convergence rate for a convection parameter identified using Tikhonovregularization. (English summary) 2003j:65106

Divo, E. see Białecki, R. A. et al.

Djellouli, Rabia see Farhat, Charbel et al., 2003i:65098Farhat, Charbel (with Tezaur, Radek; Djellouli, Rabia) On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newtonmethod. (English summary) 2003i:65098

Hu, Guo Jun see Yang,Hai Tian et al.

Ikehata,Masaru (with Ohe, Takashi) A numerical method for finding the convex hull ofpolygonal cavities using the enclosure method. (English summary) 2003a:65093

Jia, Xian Zheng seeWang, Yan Bo1

Johnson,Christopher R. (withMohr, M.; Rude, Ulrich; Samsonov, Alexei Anatolii; Zyp,K.) Multilevelmethods for inverse bioelectric field problems. (English summary) (see2003d:65004)

Joyner, Michele L. see Banks, H. T. et al., 2003h:65150Kassab, A. J. see Białecki, R. A. et al.Kress, Rainer (with Kuhn, Lars) Linear sampling methods for inverse boundary valueproblems in potential theory. (English summary) 2003i:65099

Kuhn, Lars see Kress, Rainer, 2003i:65099Makky, Sadia M. see Sayfy, AliMohr, M. see Johnson, ChristopherR. et al., (2003d:65004)Ohe, Takashi see Ikehata,Masaru, 2003a:65093Olson, Lorraine G. see Throne, Robert D., (2003m:92002)Rude, Ulrich see Johnson, ChristopherR. et al., (2003d:65004)Samsonov, Alexei Anatolii see Johnson, ChristopherR. et al., (2003d:65004)Sayfy, Ali (withMakky, Sadia M.) Numerical solution of inverse problem for ellipticPDEs. (English summary)

Tezaur, Radek see Farhat, Charbel et al., 2003i:65098Throne, Robert D. (with Olson, Lorraine G.) Algorithms for the inverse problem ofelectrocardiography. (see 2003m:92002)

Wang, Yan Bo1 (with Jia, Xian Zheng) Error estimation of inverse problems from themethod of moments. (Chinese. English and Chinese summaries)

Wincheski, Buzz see Banks, H. T. et al., 2003h:65150Winfree,William P. see Banks, H. T. et al., 2003h:65150Xue, Qi Wen see Yang, Hai Tian et al.

Yang,Hai Tian (with Hu, Guo Jun; Xue, Qi Wen) Solving inverse heat transfer problemswith multi-variable boundary conditions in steady state via conjugated gradient method.

(Chinese. English and Chinese summaries)Zyp, K. see Johnson, ChristopherR. et al., (2003d:65004)


Antyufeev, V. S. Reconstruction of a phase function of the transport equation. (Englishsummary) 2003b:82052

(Banks, H. T.) see Vogel, Curtis R., 2003i:65004Bezuglova, M. A. (with Derevtsov, E. Yu.; Sorokin, S. B.) The reconstruction of a vectorfield by finite difference methods. (English summary) 2003a:65054

Bomba, Andrıı Ya. (with Prigornits′kiı, Dmitro O.) Numerical solution of inversenonlinear boundary value problems for conformal and quasiconformal mappingsin doubly connected domains. (Ukrainian. English and Ukrainian summaries)2003h:30011

(with Kashtan, Sergıı S.) Nonlinear referencing of boundary value problems forquasiconformal mappings in anisotropic ambiences. (Ukrainian. English and Ukrainiansummaries) 2003j:30016(with Kashtan, Sergıı S.) Nonlinear inversions of boundary value problems onquasiconformal mappings in the modeling of the influence of the pressure gradienton the filtration process. (Ukrainian. English, Russian and Ukrainian summaries)2003m:65033

Cimetiere, A. see Delvare, F. et al., 2003c:65134Delvare, F. (with Cimetiere, A.; Pons, Frederic) An iterativeboundary element method forCauchy inverse problems. (English summary) 2003c:65134

Denisov, A. M. (with Shores, T. S.) An inverse coefficient problem for an integro-differential equation. (English summary) 2003j:35321

Derevtsov, E. Yu. see Bezuglova, M. A. et al., 2003a:65054Dierkes, Thomas (with Dorn, Oliver; Natterer, Frank; Palamodov, V. P.; Sielschott,Helmut) Frechet derivatives for some bilinear inverse problems. (English summary)2003g:35223

Dorn, Oliver see Dierkes, Thomas et al., 2003g:35223Grinberg, N. (with Kirsch, Andreas) The linear sampling method in inverse obstaclescattering for impedance boundary conditions. (English summary) 2003d:35264

Gutman, Semion (with Ramm, Alexander G.) Numerical implementation of the MRCmethod for obstacle scattering problems. (English summary) 2003k:35039

Isaacson, David see Siltanen, Samuli et al., 2003e:35316Kaltenbacher, Barbara (with Schoberl, Joachim) A saddle point variational formulation forprojection-regularized parameter identification. (English summary) 2003f:65107

Kashtan, Sergıı S. see Bomba, Andrıı Ya., 2003j:30016 and 2003m:65033

Kim, Jeong-Hoon A note on scattering operator symbols for elliptic wave propagation.(English summary) 2003g:35167

Kirsch, Andreas see Grinberg, N., 2003d:35264Kress, Rainer (with Kuhn, Lars; Potthast, Roland) Reconstruction of a current distribu-tion from its magnetic field. (English summary) 2003j:78017

Kuhn, Lars see Kress, Rainer et al., 2003j:78017Luce, Robert (with Perez, Sylvie) Identification de parametres a partir de mesuresdistribuees et bruitees. (English summary) [Parameter identification from noisydistributed data] (see 2003a:00031)

Mueller, Jennifer L. see Siltanen,Samuli et al., 2003e:35316Natterer, Frank see Dierkes, Thomas et al., 2003g:35223Palamodov, V. P. see Dierkes, Thomas et al., 2003g:35223Peng, Yue-Jun (with Tan, Yong Ji) Multi-parameter identification and applications in well-logging. (English summary) 2003b:86022

Perez, Sylvie see Luce, Robert, (2003a:00031)Pons, Frederic see Delvare, F. et al., 2003c:65134Potthast, Roland see Kress, Rainer et al., 2003j:78017Prigornits′kiı, Dmitro O. see Bomba, Andrıı Ya., 2003h:30011Ramm, AlexanderG. see Gutman, Semion, 2003k:35039Schoberl, Joachim see Kaltenbacher, Barbara, 2003f:65107Serdyukova, S. I. Inverse problem for the two-dimensional discrete Schrodinger equation.(English summary) 2003a:65035

Shores, T. S. see Denisov, A. M., 2003j:35321Sielschott, Helmut see Dierkes, Thomas et al., 2003g:35223Siltanen, Samuli (withMueller, Jennifer L.; Isaacson, David) Reconstruction of highcontrast 2-D conductivities by the algorithm of A. Nachman. (English summary)2003e:35316

Sorokin, S. B. see Bezuglova,M. A. et al., 2003a:65054Stepanova, I. E. On some variational formulations of an inverse three-dimensionalpotential problem of mining type. (Russian. Russian summary) 2003h:35282

Tan, Yong Ji see Peng, Yue-Jun,2003b:86022Vogel, Curtis R. Computational methods for inverse problems. (English summary)

2003i:65004

65N22 Solution of discretized equations [see also 65Fxx, 65Hxx]


Belyavskiı, S. S. (withMulyarchik, S. G.) Two-level preconditioners of grid equations inpseudo-dual direction methods. (Russian. Russian summary) 2003a:65094

Bencheva, Gergana Comparative analysis of marching algorithms for separable ellipticproblems. (English summary) (see 2003e:65003)

Brezina, Marian see Vanek, Petr et al., (2003f:65005)Darrigrand, Eric Coupling of fast multipole method and microlocal discretization for the3-D Helmholtz equation. (English summary) 2003h:65151

Dryja, Maksymilian see Klawonn, Axel et al., (2003k:65167)Elman, Howard C. (with Ernst, Oliver G.; O’Leary, Dianne P.) A multigrid methodenhanced by Krylov subspace iteration for discrete Helmhotz equations. (Englishsummary) 2003b:65115

Ernst, Oliver G. see Elman, Howard C. et al., 2003b:65115Gatica, Gabriel N. (with Heuer, Norbert) A preconditioned MINRES method for thecoupling of mixed-FEM and BEM for some nonlinear problems. (English summary)


2003m:65197

Giannoutakis,KonstantinosM. see Gravvanis, George A.Goldfeld, Paulo (with Pavarino, Luca F.; Widlund, Olof B.) Balancing Neumann-Neumann methods for mixed approximations of linear elasticity. (English summary) (see2003k:65167)

Golub, Gene H. (with Greif, Chen; Varah, JamesM.) Block orderings for tensor-productgrids in two and three dimensions. (English summary) 2003f:65182

Gravvanis, George A. (with Giannoutakis, Konstantinos M.) Normalized explicit finiteelement approximate inverses. (English summary)

Greif, Chen see Golub, Gene H. et al., 2003f:65182Hendrickx, Jef (with Van Barel, Marc) A Kronecker product variant of the FACR methodfor solving the generalized Poisson equation. (English summary) 2003i:65100

Heuer, Norbert see Gatica, Gabriel N., 2003m:65197Huttunen,Tomi (withMonk, P. B.; Kaipio, Jari P.) Computational aspects of the ultra-weak variational formulation. (English summary) 2003j:65107

Iliev, Oleg P. On second-order-accurate discretization of 3D interface problems and its fastsolution with a pointwise multigrid solver. (English summary) 2003g:65136

Kaipio, Jari P. see Huttunen,Tomi et al., 2003j:65107Kang, Kab Seok (with Kwak, Do Young) Convergence estimates for multigrid algorithmswith Kaczmarz smoothing. (English summary) (see 2003f:65005)

Klawonn, Axel (withWidlund, Olof B.; Dryja, Maksymilian) Dual-primal FETI methodswith face constraints. (English summary) (see 2003k:65167)

Korneev,Vadim G. An almost optimal method for solving Dirichlet problems ondecomposition subdomains of the hierarchical hp-version. (Russian. Russian summary)2003e:65199

Krızkova, Jitka see Vanek, Petr et al., (2003f:65005)Kwak, Do Young see Kang, Kab Seok, (2003f:65005)Lasser, Caroline (with Toselli, Andrea) Convergence of some two-level overlappingdomain decomposition preconditioners with smoothed aggregation coarse spaces.(English summary) (see 2003k:65167)

Martikainen, Janne (with Rossi, Tuomo; Toivanen, Jari) A fast direct solver for ellipticproblems with a divergence constraint. (English summary) 2003k:65138

Milyukova,O. Yu. Parallel approximate factorization method for solving discrete ellipticequations. (English summary) 2003e:65200

Miranville, Alain (withMuresan, Adrian) Block incremental unknowns for anisotropicelliptic equations. (English summary) 2003i:65101

Monk, P. B. see Huttunen,Tomi et al., 2003j:65107Mulder, W. A. see Plessix, R. E., 2003m:65198Mulyarchik, S. G. see Belyavskiı, S. S., 2003a:65094Muresan, Adrian seeMiranville, Alain, 2003i:65101O’Leary, Dianne P. see Elman, Howard C. et al., 2003b:65115Pasciak, Joseph E. (with Zhao, J.) Overlapping Schwarz methods inH (curl) on polyhedraldomains. (English summary) 2003j:65108

Pavarino, Luca F. see Goldfeld, Paulo et al., (2003k:65167)Plessix, R. E. (withMulder, W. A.) Separation-of-variables as a preconditioner for aniterativeHelmholtz solver. (English summary) 2003m:65198

Rossi, Tuomo seeMartikainen, Janne et al., 2003k:65138Stefanica, Dan A numerical study of FETI algorithms for mortar finite element methods.(English summary) 2003e:65201

Tezaur, Radek see Vanek, Petr et al., (2003f:65005)Toivanen, Jari seeMartikainen, Janne et al., 2003k:65138Toselli, Andrea see Lasser, Caroline, (2003k:65167)Van Barel, Marc see Hendrickx, Jef, 2003i:65100Vanek, Petr (with Tezaur, Radek; Brezina, Marian; Krızkova, Jitka) Two-level methodwith coarse space size independent convergence. (see 2003f:65005)

Varah, James M. see Golub, Gene H. et al., 2003f:65182Widlund,Olof B. see Klawonn, Axel et al., (2003k:65167) and Goldfeld, Paulo et al.,(2003k:65167)

Yang, Daoqi Iterative schemes for mixed finite element methods with applications toelasticity and compressible flow problems. (English summary) 2003j:65109

Zhao, J. see Pasciak, Joseph E., 2003j:65108Zulehner,Walter Analysis of iterativemethods for saddle point problems: a unifiedapproach. (English summary) 2003f:65183


Achdou,Yves (withMaday, Yvon) The mortar element method with overlappingsubdomains. (English summary) 2003f:65186

Ademoyero,Ore (with Bartholomew-Biggs, Michael; Davies, Alan J.) Linear solvers forthe Galerkin boundary element method. (see 2003a:00028)

Ainsworth, Mark (with Guo, Benqi) Analysis of iterative sub-structuring techniques forboundary element approximation of the hypersingular operator in three dimensions.(English summary) 2003m:65223


Axelsson, Owe (with Karatson, Janos) On the rate of convergence of the conjugategradient method for linear operators in Hilbert space. (English summary) 2003f:65096

(with Farago, Istvan; Karatson, Janos) Sobolev space preconditioning for Newton’smethod using domain decomposition. (English summary) 2003j:65025

Baines, Michael Fluctuation distribution schemes on adjustable meshes for scalarhyperbolic equations. (English summary) (see 2003f:65006)

Bank, Randolph E. (with Jimack, Peter K.; Nadeem, Sarfraz A.; Nepomnyashchikh, SergeıV.) A weakly overlapping domain decomposition preconditioner for the finite elementsolution of elliptic partial differential equations. (English summary) 2003f:65047

Bartholomew-Biggs,Michael see Ademoyero, Ore et al., (2003a:00028)Bhuruth,Muddun (with Jain, Mahinder Kumar; Gopaul, Ashvin) Preconditioned iterativemethods for the nine-point approximation to the convection-diffusion equation. (Englishsummary) 2003a:65027

see also Gopaul, Ashvin, 2003d:65021Blaheta, Radim (with Byczanski, P.; Kohut, R.) Composite grid finite element method:implementation and iterative solution with inexact subproblems. (English summary)

2003d:65101


Bychenkov, Yu. V. On a three-parameter method for solving Navier-Stokes equations.(Russian. Russian summary) 2003f:76026

Byczanski, P. see Blaheta, Radim et al., 2003d:65101Cai, Zhiqiang (with Shin, Byeong Chun) The discrete first-order system least squares: thesecond-order elliptic boundary value problem. (English summary) 2003f:65189

Cao, Weiming (with Guo, Benqi) A preconditioner with inexact element face solver forthree dimensional p-version finite element methods. (English summary) 2003c:65024

Cendes, Zoltan see Sun, Din-Kow et al., 2003c:65128Chang, Da-Wei On convergence of the parallel Schwarz algorithm with pseudo-boundaryand the parallel multisplitting iterativemethod. (see 2003f:65005)

Chen, Jin-ru (with Cui, Jun-Zhi) A multiscale rectangular element method for ellipticproblems with entirely small periodic coefficients. (English summary) 2003d:65104

Chen, Ke1 see Ford, JudithM. et al.Cheng, Xiao Liang (with Zou, Jun) An inexactUzawa-type iterativemethod for solvingsaddle point problems. (English summary) 2003m:65040

Cheung, WilliamM. (with Ng, Michael K.) Block-circulant preconditioners for systemsarising from discretization of the three-dimensional convection-diffusion equation.(English summary) 2003h:65034

Chizhonkov, E. V. On a solution of a Stokes-type algebraic system under block-diagonalpreconditioning. (Russian. Russian summary) 2003h:65035


Claramunt, K. see Soria, Manel et al., (2003b:76005)Cui, Jun-Zhi see Chen, Jin-ru, 2003d:65104Davies, Alan J. see Ademoyero, Ore et al., (2003a:00028)Dryja, Maksymilian (withWidlund, Olof B.) A FETI-DP method for a mortar discretiza-tion of elliptic problems. (English summary) (see 2003k:65167)A Dirichlet-Neumann algorithm for mortar saddle point problems. (English summary)2003k:65146see also Klawonn, Axel et al., 2003g:65044


Erhel, Jocelyne see Altas, Irfan et al., 2003c:65101Evans, David John1 seeMartins, M. Madalena et al., 2003e:65045 and Ford, JudithM. et al.Farago, Istvan see Axelsson, Owe et al., 2003j:65025Ford, Judith M. (with Chen, Ke1; Evans, David John1) On a recursive Schur precondi-tioner for iterative solution of a class of dense matrix problems. (English summary)

Formaggia, Luca (with Sala, Marzio) Algebraic coarse grid operators for domaindecomposition based preconditioners. (English summary) (see 2003b:76005)

Galligani, Emanuele A two-stage iterativemethod for solving weakly nonlinear systems.(English summary) 2003d:65046

Gander, Martin J. (withMagoules, Frederic; Nataf, Frederic) Optimized Schwarz methodswithout overlap for the Helmholtz equation. (English summary) 2003i:65124

Ge, Lixin see Zhang, Jun2 et al., 2003c:65107Gopalakrishnan, Jayadeep (with Pasciak, Joseph E.) Overlapping Schwarz preconditionersfor indefinite time harmonic Maxwell equations. (English summary) 2003i:78020

Gopaul, Ashvin (with Bhuruth, Muddun) Analysis of algebraic systems arising fromfourth-order compact discretizations of convection-diffusion equations. (Englishsummary) 2003d:65021see also Bhuruth,Muddun et al., 2003a:65027


Guo, Benqi see Cao, Weiming, 2003c:65024 and Ainsworth, Mark, 2003m:65223

Gupta, Murli M. see Altas, Irfan et al., 2003c:65101Haase, Gundolf (with Langer, Ulrich1; Reitzinger, Stefan; Schoberl, Joachim) Algebraicmultigrid methods based on element preconditioning. (English summary) 2003d:65022

Hakopian, Yu. R. (with Hovhannisyan, H. A.) Algebraic multilevel preconditioners forthird order finite element approximations in rectangular domains. (English summary)2003j:65127

Hirano, Hiroyuki (with Niki, Hiroshi; Okamoto, Naotaka) Application of preconditioningiterativemethods to the numerical calculation with a boundary-fitted coordinate system.(English summary)

Holtby, Derek W. Higher-order estimates for fully nonlinear difference equations. II.(English summary) 2003b:65110

Hovhannisyan,H. A. see Hakopian, Yu. R., 2003j:65127Hu, Qi Ya A preconditioner for domain decomposition methods with mortar Lagrangemultipliers. (English summary) 2003i:65125

Huang, Wen Bin (with Xu, Chuan Ju) A finite-element preconditioning analysis of aspectral element method for the Poisson equation. (Chinese. English and Chinesesummaries)

Jain, Mahinder Kumar see Bhuruth,Muddun et al., 2003a:65027Jimack, Peter K. see Bank, Randolph E. et al., 2003f:65047 and Nadeem, Sarfraz A.,

2003k:65166Juncu, Gh. (with Popa, Constantin) Preconditioning by Gram matrix approximationfor diffusion-convection-reaction equations with discontinuous coefficients. (Englishsummary) 2003h:65037

Karaa, S. (with Zhang, Jun2) Convergence and performance of iterativemethods forsolving variable coefficient convection-diffusion equation with a fourth-order compactdifference scheme. (English summary) 2003d:65099

Karatson, Janos see Axelsson, Owe et al., 2003f:65096 and 2003j:65025Katti, C. P. (with Srivastava,Deepak Kumar; Sivaloganathan, S.) Highly efficient parallelalgorithm for finite difference solution to Navier-Stokes equation on a hypercube.(English summary) 2003e:76082

Kay, David (with Loghin, Daniel; Wathen, Andrew J.) A preconditioner for the steady-state Navier-Stokes equations. (English summary) 2003h:65038

Kim, SangDong (with Shin, Byeong Chun) PreconditioningC 1 Lagrange polynomialspline collocation method of elliptic equations by finite element method. (English


summary) 2003g:65149

Klawonn, Axel (withWidlund, Olof B.; Dryja, Maksymilian) Dual-primal FETI methodsfor three-dimensional elliptic problems with heterogeneous coefficients. (Englishsummary) 2003g:65044

Kohut,R. see Blaheta, Radim et al., 2003d:65101Kolev, Tzanio (withMargenov, Svetozar) AMLI preconditioning of pure displacementnon-conforming elasticity FEM systems. (English summary) (see 2003e:65003)

Kouatchou, Jules see Zhang, Jun2 et al., 2003c:65107 and 2003e:65194

Kumar, Rajesh see Sharma, P. K.

Kuznetsov, Yuriı Alekseevich1 (with Lipnikov, Konstantin) Fast separable solver for mixedfinite element methods and applications. (English summary) 2003k:65152

Lai, Ming-Chih (withWang,Wei-Cheng) Fast direct solvers for Poisson equation on 2Dpolar and spherical geometries. (English summary) 2003e:65191

Langer, Ulrich1 see Haase, Gundolf et al., 2003d:65022Lazarov, RaytchoD. (with Tomov, Stanimire Z.; Vassilevski, Panayot S.) Interior penaltydiscontinuous approximations of elliptic problems. (English summary) 2003e:65196

Lee, Jin-Fa see Sun, Din-Kow et al., 2003c:65128Lifante, C. see Soria, Manel et al., (2003b:76005)Lipnikov, Konstantin see Kuznetsov, Yuriı Alekseevich1, 2003k:65152Loghin, Daniel seeKay, David et al., 2003h:65038Lozinskiı, A. S. Finite-element realization of iterative processes with splitting of boundaryconditions for a Stokes-type system in nonconcentric annuli. (Russian. Russiansummary) 2003f:76076

Maday, Yvon see Achdou, Yves, 2003f:65186Magoules, Frederic see Gander, Martin J. et al., 2003i:65124Marcinkowski, Leszek A mortar element method for some discretizations of a plateproblem. (English summary) 2003m:65208

Margenov, Svetozar see Kolev, Tzanio, (2003e:65003)Martins,M. Madalena (with Evans, David John1; Yousif, W.) Further results on thepreconditioned SOR method. (English summary) 2003e:65045

Nadeem, Sarfraz A. (with Jimack, Peter K.) Parallel implementation of an optimal twolevel additive Schwarz preconditioner for the 3-D finite element solution of elliptic partialdifferential equations. (English summary) 2003k:65166see also Bank, Randolph E. et al., 2003f:65047

Nataf, Frederic see Gander, Martin J. et al., 2003i:65124Nepomnyashchikh,Sergeı V. see Bank, RandolphE. et al., 2003f:65047Ng, Michael K. see Cheung,William M., 2003h:65034Niki, Hiroshi see Hirano, Hiroyuki et al.Okamoto, Naotaka see Hirano, Hiroyuki et al.

Ol′shanskiı,M. A. A low order Galerkin finite element method for the Navier-Stokesequations of steady incompressible flow: a stabilization issue and iterativemethods.(English summary) 2003j:76076

Othman,Mohamed see Zhang, Jun2 et al., 2003e:65194Pakalnite, V. see Ciegis, Raimondas, 2003d:65098Pasciak, Joseph E. see Gopalakrishnan, Jayadeep,2003i:78020Perez-Segarra, C. D. see Soria, Manel et al., (2003b:76005)Popa, Constantin see Juncu, Gh., 2003h:65037Reitzinger, Stefan (with Schoberl, Joachim) An algebraic multigrid method for finiteelement discretizations with edge elements. (English summary) 2003f:78033

see also Haase, Gundolf et al., 2003d:65022Rice, John Rischard (with Tsompanopoulou, P.; Vavalis, Emmanuel) Fine tuning interfacerelaxationmethods for elliptic differential equations. (English summary) 2003m:65227

Sala,Marzio see Formaggia, Luca, (2003b:76005)Schoberl, Joachim see Haase, Gundolf et al., 2003d:65022 and Reitzinger, Stefan,

2003f:78033

Serdyukova, S. I. Inverse problem for the two-dimensional discrete Schrodinger equation.(English summary) 2003a:65035

Serra Capizzano, Stefano (with Tablino Possio, Cristina) Finite element matrix sequences:the case of rectangular domains. (English summary) 2003b:65034

Sharma, P. K. (with Kumar, Rajesh) Numerical solution of the steady state Navier-Stokesequations using elliptic solver. (English summary)

Shi, Zhong Ci (with Xie, Zhenghui) Substructure preconditioners for nonconforming plateelements. (see 2003f:65005)

Shin, Byeong Chun see Cai, Zhiqiang, 2003f:65189 and Kim, SangDong, 2003g:65149Sivaloganathan,S. see Katti, C. P. et al., 2003e:76082Soria,Manel (with Perez-Segarra,C. D.; Claramunt, K.; Lifante, C.) A direct algorithmfor the efficient solution of the Poisson equations arising in incompressible flow problems.(English summary) (see 2003b:76005)

Sprengel, Frauke Comparing multilevel coarsening strategies. (English summary)2003j:65129

Srivastava,Deepak Kumar see Katti, C. P. et al., 2003e:76082Steinbach,Olaf (withWendland, Wolfgang L.) Efficient preconditioners for boundaryelement methods and their use in domain decomposition methods. (see 2003f:65005)

Sun, Din-Kow (with Lee, Jin-Fa; Cendes, Zoltan) Construction of nearly orthogonalNedelec bases for rapid convergence with multilevel preconditioned solvers. (Englishsummary) 2003c:65128

Tablino Possio, Cristina see Serra Capizzano, Stefano,2003b:65034Tidriri, Moulay D. Development and study of Newton-Krylov-Schwarz algorithms.(English summary) 2003d:65028

Tomov, Stanimire Z. see Lazarov, RaytchoD. et al., 2003e:65196Tsompanopoulou,P. see Rice, John Rischard et al., 2003m:65227Tuma, Miroslav A note on the LDLT decomposition of matrices from saddle-pointproblems. (English summary) 2003g:65036

Vassilevski, Panayot S. Sparse matrix element topology with application to AMG(e) andpreconditioning. (English summary) 2003i:65033

see also Lazarov, RaytchoD. et al., 2003e:65196Vavalis, Emmanuel see Rice, John Rischard et al., 2003m:65227Wang,Guang Hui (withWang, Lie Heng) Uzawa type algorithm based on dual mixedvariational formulation. (English and Chinese summaries) 2003k:65154

Wang, Lie Heng seeWang,Guang Hui, 2003k:65154

Wang, Wei-Cheng see Lai, Ming-Chih, 2003e:65191Wathen, Andrew J. see Kay, David et al., 2003h:65038Wendland,Wolfgang L. see Steinbach,Olaf, (2003f:65005)Widlund,Olof B. Preconditioners for spectral and mortar finite element methods. (see

2003f:65005)see also Klawonn, Axel et al., 2003g:65044 and Dryja, Maksymilian, (2003k:65167)

Xie, Zhenghui see Shi, Zhong Ci, (2003f:65005)Xu, Chuan Ju see Huang,Wen Bin

Yousif, W. seeMartins, M. Madalena et al., 2003e:65045Zhang, Jun2 (with Kouatchou, Jules; Othman, Mohamed) On cyclic reduction and finitedifference schemes. (English summary) 2003e:65194

(with Kouatchou, Jules; Ge, Lixin) A family of fourth-order difference schemes onrotated grid for two-dimensional convection-diffusion equation. (English summary)2003c:65107

see also Karaa, S., 2003d:65099Zou, Jun see Cheng, Xiao Liang, 2003m:65040

65N25 Eigenvalue problems

Andreev, A. B. (with Racheva, Milena R.) Superconvergent FE postprocessing foreigenfunctions. (English summary) 2003a:65095

see also Racheva,Milena R., 2003k:65139Belingeri, C. (with Germano, B.) Numerical approximation of eigenvalues for transversevibrations of a wedge-shaped beam. (English and Georgian summaries) 2003e:65202

Bermudez de Castro, Alfredo (with Pedreira, Dolores Gomez; Joly, Patrick) A hybridapproach for the computation of guided modes in integrated optics. (English summary)2003c:65110

Brandt, Achi see Livne, Oren E., (2003d:65004)Dubrovskiı, V. V. (with Kadchenko, S. I.; Kravchenko, V. F.; Sadovnichiı, V. A.) A newmethod for computing the first eigenvalues of a spectral problem in the hydrodynamictheory of the stability of a viscous fluid flow between two rotating cylinders. (Russian)2003f:65184

El-Hawary, H. M. Double ultraspherical solution of eigenvalue problems for partialdifferential equations. (English summary) 2003f:65185

Germano, B. see Belingeri, C., 2003e:65202Gnaneshwar, N. see Kulkarni, Rekha P., 2003e:65203Hiptmair, R. (with Neymeyr, Klaus) Multilevelmethod for mixed eigenproblems. (Englishsummary) 2003h:65152

Jin, Jian Ming Error analysis of a plate eigenvalue problem. (Chinese. English and Chinesesummaries)

Joly, Patrick see Bermudez de Castro, Alfredo et al., 2003c:65110Kadchenko, S. I. see Dubrovskiı, V. V. et al., 2003f:65184Kravchenko, V. F. see Dubrovskiı, V. V. et al., 2003f:65184Kulkarni, Rekha P. (with Gnaneshwar, N.) Spectral approximation using iterated discreteGalerkin method. (English summary) 2003e:65203

Liu, Hui Po (with Liu, Li Jun) Expansion and extrapolation of the eigenvalue problembased on Qrot1 element. (Chinese. English and Chinese summaries)

Liu, Li Jun see Liu, Hui Po

Livne, Oren E. (with Brandt, Achi) Multiscale eigenbasis calculations:N eigenfunctions inO(N logN ). (English summary) (see 2003d:65004)

Neymeyr, Klaus A posteriori error estimation for elliptic eigenproblems. (Englishsummary) 2003c:65111

see also Hiptmair, R., 2003h:65152Pedreira, Dolores Gomez Numerical computation of electromagnetic guided waves in ageneral perturbed stratified medium. (see 2003f:35004)see also Bermudez de Castro, Alfredo et al., 2003c:65110

Racheva, Milena R. (with Andreev, A. B.) Superconvergence postprocessing for eigenval-ues. (English summary) 2003k:65139

see also Andreev, A. B., 2003a:65095Sadovnichiı,V. A. see Dubrovskiı, V. V. et al., 2003f:65184


Alonso, Ana Esther (with Dello Russo, Anahı; Padra, Claudio; Rodrıguez, Rodolfo) Aposteriori error estimates and a local refinement strategy for a finite element method tosolve structural-acoustic vibration problems. (English summary) 2003a:65099

(with Dello Russo, Anahı; Otero-Souto, Cesar; Padra, Claudio; Rodrıguez, Rodolfo)An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids. (English summary) 2003m:76103

Andreev, A. B. (with Racheva, Milena R.) On the points of superconvergence for fourth-order eigenvalue problems. (English summary)

Bassotti Rizza, Lucilla Fichera’s orthogonal invariants method and numerical applications.2003f:65097


Bhattacharyya, Pulin Kumar (with Nataraj, Neela) Isoparametric mixed finite elementapproximation of eigenvalues and eigenvectors of 4th order eigenvalue problems withvariable coefficients. (English summary) 2003f:65188

Boffi, Daniele (with Gastaldi, Lucia) Eigenmodes computation on quadrilateral meshes.(English summary)

Dauge, Monique (with Suri, M.) Numerical approximation of the spectra of non-compactoperators arising in buckling problems. (English summary) 2003i:74046

Dello Russo, Anahı see Alonso, Ana Esther et al., 2003a:65099 and 2003m:76103

Demkowicz, L. see Vardapetyan, L., 2003k:78032Dimitrov, A. (with Schnack, E.) Asymptotical expansion in non-Lipschitzian domains—anumerical approach. (English summary) 2003i:74020

Forastiere, Michele A. (with Righini, Giancarlo C.) Improved scalar analysis of integratedoptical structures by the mapped Galerkin method and Arnoldi iteration. (Englishsummary) 2003a:78007


Fujisaki,Masatoshi (with Ibuki, Kazuhiko) Neumann problem for the maximizingoperator and its probabilistic characterization. (English summary) 2003e:35222

Gastaldi, Lucia see Boffi, DanieleHervella-Nieto, Luis see Bermudez de Castro, Alfredo et al., 2003e:65208Ibuki, Kazuhiko see Fujisaki, Masatoshi, 2003e:35222Joly, Patrick see Pedreira, Dolores Gomez, 2003f:78004Ling, Xiaohui (with Shi, Dong Yang) Finite element approximation for eigenvalue ofstructural-acoustic coupled problems. (English and Chinese summaries)

Nataraj, Neela see Bhattacharyya, Pulin Kumar, 2003f:65188Otero-Souto, Cesar see Alonso, Ana Esther et al., 2003m:76103Padra, Claudio see Alonso, Ana Esther et al., 2003a:65099 and 2003m:76103

Pedreira, Dolores Gomez (with Joly, Patrick) A method for computing guided waves inintegrated optics. II. Numerical approximation and error analysis. (English summary)2003f:78004

Racheva,Milena R. see Andreev, A. B.Righini, Giancarlo C. see Forastiere, Michele A., 2003a:78007Rodrıguez,Rodolfo see Alonso, Ana Esther et al., 2003a:65099;2003m:76103 and Bermudez

de Castro, Alfredo et al., 2003e:65208Schnack,E. see Dimitrov, A., 2003i:74020Shi, Dong Yang see Ling, XiaohuiSuri, M. see Dauge, Monique,2003i:74046Todorov, Todor Dimitrov2 21-node 3-simplex isoparametric finite element. (Englishsummary)

Vardapetyan,L. (with Demkowicz, L.) Full-wave analysis of dielectric waveguides at agiven frequency. (English summary) 2003k:78032

65N30 Finite elements, Rayleigh-Ritz and Galerkin methods,finite methods

Abram, Richard A. see Bettess, Peter, 2003e:65209Achchab,B. (with Laayouni, L.; Polman, B.; Souissi, A.) Anisotropic a posteriori errorestimations in convection-diffusionwith dominant convection. (English summary)

Achdou,Yves (withMaday, Yvon) The mortar element method with overlappingsubdomains. (English summary) 2003f:65186

Ackerer, Philippe see Chavent,Guy et al., 2003m:65201Adjerid, Slimane (withMassey, Thomas C.) A posteriori discontinuous finite element errorestimation for two-dimensional hyperbolic problems. (English summary) 2003j:65110

Agouzal,Abdellatif On the saturation assumption and hierarchical a posteriori errorestimator. (English summary) 2003j:65111

Ainsworth, Mark (with Kelly, Donald W.) A posteriori error estimators and adaptivityfor finite element approximation of the non-homogeneous Dirichlet problem. (Englishsummary) 2003a:65096(with Coggins, Patrick) A uniformly stable family of mixed hp-finite elements withcontinuous pressures for incompressible flow. (English summary) 2003e:65204

(with Pinchedez,Katia) The hp-MITC finite element for the Reissner-Mindlin plateproblem. (English summary) 2003i:65102

Alam, M. Jahrul see Islam, Md. Shafiqul, 2003k:65149Alfeld, Peter (with Schumaker, Larry L.) Smooth macro-elements based on Powell-Sabintriangle splits. (English summary) 2003a:65097

(with Schumaker, Larry L.) Smooth macro-elements based on Clough-Tocher trianglesplits. (English summary) 2003a:65098

Alonso, Ana Esther (with Dello Russo, Anahı; Padra, Claudio; Rodrıguez, Rodolfo) Aposteriori error estimates and a local refinement strategy for a finite element method tosolve structural-acoustic vibration problems. (English summary) 2003a:65099

Alonso, Beatriz see Gavete, Luis, 2003a:65105Amara, Mohamed (with Chacon Vera, Eliseo; Trujillo, David) A three field stabilized finiteelement method for the Stokes equations. (English and French summaries) 2003e:65205

Andreev, A. B. (with Racheva, Milena R.) On the points of superconvergence for fourth-order eigenvalue problems. (English summary)

Apel, Thomas (with Nicaise, Serge; Schoberl, Joachim) A non-conforming finite elementmethod with anisotropic mesh grading for the Stokes problem in domains with edges.(English summary) 2003a:65100

Arada, Nadir (with Casas Renterıa, Eduardo; Troltzsch, Fredi) Error estimates for thenumerical approximation of a semilinear elliptic control problem. (English summary)2003k:65140

Araya, Rodolfo (with Barrios, Tomas P.; Gatica, Gabriel N.; Heuer, Norbert) A posteriorierror estimates for a mixed-FEM formulation of a non-linear elliptic problem. (Englishsummary) 2003e:65206

Arnold, Douglas N. (with Boffi, Daniele; Falk, Richard S.) Approximation by quadrilateralfinite elements. (English summary) 2003c:65112

(withWinther, Ragnar) Mixed finite elements for elasticity. (English summary)2003i:65103

Arunakirinathar, K. (with Reddy, B. D.) A stable affine-approximate finite element method.(English summary) 2003g:65137

Babuska, Ivo M. (with Guo, Benqi) Direct and inverse approximation theorems for thep-version of the finite element method in the framework of weighted Besov spaces.I. Approximability of functions in the weighted Besov spaces. (English summary)2003a:65101(with Guo, Benqi) Direct and inverse approximation theorems for the p-version of thefinite element method in the framework of weighted Besov spaces. II. Optimal rate ofconvergence of the p-version finite element solutions. (English summary) 2003f:65187

Barrientos,Mauricio A. (with Gatica, Gabriel N.; Maischak, Matthias) A posteriori errorestimates for linear exterior problems via mixed-FEM and DtN mappings. (Englishsummary) 2003c:65113(with Gatica,Gabriel N.; Stephan, Ernst P.) A mixed finite elementmethod for nonlinearelasticity: two-fold saddle point approach and a-posteriori error estimate. (Englishsummary) 2003c:65114

Barrios, Tomas P. see Araya, Rodolfo et al., 2003e:65206Bartels, Soren (with Carstensen, Carsten) Each averaging technique yields reliable aposteriori error control in FEM on unstructured grids. II. Higher order FEM. (English

summary) 2003e:65207

see also Carstensen, Carsten et al., 2003a:65104;2003e:65212 and 2003g:65139Bass, Jon see Prudhomme, Serge et al.

Becker, Roland Mesh adaptation for Dirichlet flow control via Nitsche’s method. (Englishsummary) 2003g:65138

Bedivan, D. M. Error estimates for least squares finite element methods. (English summary)2003d:65100

Belash, V. O. (with Pal′tsev, B. V.) Bicubic finite-element realizations of methods withsplitting of boundary conditions for a Stokes-type system in a strip under the periodicitycondition. (Russian. Russian summary) 2003k:65141

Ben Belgacem, Faker (with Chilton, Lawrence K.; Seshaiyer, Padmanabhan) Non-conforming hp finite element methods for Stokes problems. (English summary) (see2003k:65167)


Bernardi, Christine (with Girault, Vivette; Hecht, Frederic; Kawarada,Hideo; Pironneau,Olivier) A finite element problem issued from fictitious domain techniques. (Englishsummary) 2003b:65116

Berrone, Stefano (with Emmel, L.) A realization of a wavelet Galerkin method onnontrivial domains. (English summary) 2003i:65104

Bertoluzza, Silvia (with Perrier, Valerie) The mortar wavelet method. (English summary)(see 2003f:65007)

Bettess, Peter (with Abram, Richard A.) Finite and infinite elements for a simple problemin quantum mechanics. (English summary) 2003e:65209see also Sugimoto,Rie et al.

Bhattacharyya, Pulin Kumar (with Nataraj, Neela) Isoparametric mixed finite elementapproximation of eigenvalues and eigenvectors of 4th order eigenvalue problems withvariable coefficients. (English summary) 2003f:65188

Bi, Chunjia (with Li, Likang) The mortar finite volume method with the Crouzeix-Raviartelement for elliptic problems. (English summary) 2003m:65199

Blaheta, Radim (with Byczanski, P.; Kohut, R.) Composite grid finite element method:implementation and iterative solution with inexact subproblems. (English summary)2003d:65101

Boffi, Daniele (with Gastaldi, Lucia) Eigenmodes computation on quadrilateral meshes.(English summary)see also Arnold, Douglas N. et al., 2003c:65112


Botkin, Mark E. see Prudhomme, Serge et al.

Bottasso, Carlo L. (withMicheletti, Stefano; Sacco, Riccardo) The discontinuous Petrov-Galerkin method for elliptic problems. (English summary) 2003h:65153

Brandts, Jan The Cauchy-Riemann equations: discretization by finite elements, fastsolution of the second variable, and a posteriori error estimation. (English summary)2003a:65102

Brenner, Susanne C. (with Scott, L. Ridgway) The mathematical theory of finite elementmethods. (English summary) 2003a:65103

Brezzi, Franco (with Hughes, Thomas J. R.; Suli, Endre) Variational approximation of fluxin conforming finite element methods for elliptic partial differential equations: a modelproblem. (English and Italian summaries) 2003e:65210

(withMarini, Luisa Donatella) Augmented spaces, two-levelmethods, and stabilizingsubgrids. (English summary) 2003k:65142

Bristeau, M. O. (with Girault, Vivette; Glowinski, Roland; Pan, Tsorng-Whay; Periaux,J.; Xiang, Y.) On a fictitious domain method for flow and wave problems. (Englishsummary) (see 2003f:65005)

Burman, Erik (with Ern, Alexandre) Nonlinear diffusion and discrete maximum principlefor stabilized Galerkin approximations of the convection–diffusion-reaction equation.(English summary) 2003e:65211

Byczanski, P. see Blaheta, Radim et al., 2003d:65101Cai, Zhiqiang (with Shin, Byeong Chun) The discrete first-order system least squares: thesecond-order elliptic boundary value problem. (English summary) 2003f:65189

Canuto, Claudio (with Tabacco Vignati, Anita) An anisotropic functional setting forconvection-diffusion problems. (English summary) 2003d:65102

Capatina-Papaghiuc,Daniela Nonconforming methods and numerical locking. Applica-tions. (English summary) 2003c:65115

Carrera, Erasmo Theories and finite elements for multilayered, anisotropic, compositeplates and shells. (English summary)

Carstensen, Carsten (with Bartels, Soren; Klose, Roland) An experimental survey ofa posteriori Courant finite element error control for the Poisson equation. (Englishsummary) 2003a:65104(with Bartels, Soren) Each averaging technique yields reliable a posteriori error controlin FEM on unstructured grids. I. Low order conforming, nonconforming, and mixedFEM. (English summary) 2003e:65212

(with Bartels, Soren; Jansche, Stefan) A posteriori error estimates for nonconformingfinite element methods. (English summary) 2003g:65139

Residual-based a posteriori error estimate for a nonconforming Reissner-Mindlin platefinite element. (English summary) 2003e:65213

see also Bartels, Soren, 2003e:65207Casas Renterıa, Eduardo see Arada, Nadir et al., 2003k:65140Castillo, Paul (with Cockburn, Bernardo; Schotzau, Dominik; Schwab, Christoph)Optimal a priori error estimates for the hp-version of the local discontinuous Galerkinmethod for convection-diffusion problems. (English summary) 2003e:65214Performance of discontinuous Galerkin methods for elliptic PDEs. (English summary)2003m:65200

Cendes, Zoltan see Sun, Din-Kow et al., 2003c:65128Chacon Rebollo, Tomas (with Gomez Marmol, Macarena) Numerical approximation ofelliptic problems with nonregular data. (Spanish. Spanish summary) (see 2003a:00034)

Chacon Vera, Eliseo see Amara, Mohamed et al., 2003e:65205Chang, Ching L. (with Yang, Suh-Yuh) Analysis of the L2 least-squares finite elementmethod for the velocity-vorticity-pressure Stokes equations with velocity boundary


conditions. (English summary) 2003d:65103

Chang,Qian Shun seeMa, Liming, (2003f:65005)Chavent,Guy (with Younes, Anis; Ackerer, Philippe) On the finite volume reformulationof the mixed finite element method for elliptic and parabolic PDE on triangles. (Englishsummary) 2003m:65201

Chen, Jin-ru (with Cui, Jun-Zhi) A multiscale rectangular element method for ellipticproblems with entirely small periodic coefficients. (English summary) 2003d:65104

(with Xu, Xue-jun) Uniform convergence and Schwarz method for the mortar projectionnonconforming and mixed element methods for nonselfadjoint and indefinite problems.(English summary) 2003k:65143

(with Xu, Xue-jun) The mortar element method for rotated Q1 element. (Englishsummary) 2003f:65190

(with Cui, Jun-Zhi) Two-scale curved element method for elliptic problems with smallperiodic coefficients. (English summary) 2003e:65215

(with Xu, Xue-jun) Uniform convergence and Schwarz method for the mortar elementmethod for non-selfadjoint and indefinite problems. (English summary) 2003j:65113

Chen, Jiun-Shyan see You, Yang et al., 2003m:65213

Chen, Shao Chun see Li, Qing Shan, 2003g:65146;2003m:65206;Qu, ShuangHong andQiao, Zhong Hua

Chen,Wen Bin (with Ling, Shi Bo; Huang, Jian Guo) The cascadic multigrid methodof the mortar finite element method for second-order elliptic problems with cornersingularity. (Chinese. English and Chinese summaries) 2003k:65144

Chen, Zhangxin (with Ewing, Richard E.) Domain decomposition methods and multilevelpreconditioners for nonconforming and mixed methods for partial differential problems.(English summary) (see 2003f:65005)Uniform convergence of Galerkin-multigrid methods for nonconforming finite elementsfor second-order problems with less than full elliptic regularity. (English summary)2003c:65116

Cheng, Xiao Liang (with Ye, Xing De) Analysis of the checkerboard mode and inf-supcondition. (English summary) 2003f:65191

Chilton, Lawrence K. see Ben Belgacem, Faker et al., (2003k:65167)Chopp, David L. (with Sukumar, N.) Fatigue crack propagation of multiple coplanarcracks with the coupled extended finite element/fast marching method. (Englishsummary)

Chou, So-Hsiang (with Kwak, Do Young; Kim, Kwang Yeon) Flux recovery from primalhybrid finite element methods. (English summary) 2003g:65140

Ciarlet, Philippe G. The finite element method for elliptic problems. (English summary)Cockburn, Bernardo (with Kanschat, Guido; Schotzau, Dominik; Schwab, Christoph)Local discontinuous Galerkin methods for the Stokes system. (English summary)2003g:65141see also Castillo, Paul et al., 2003e:65214

Coggins,Patrick see Ainsworth, Mark, 2003e:65204Croisille, Jean-Pierre (with Greff, Isabelle) Some nonconforming mixed box schemes forelliptic problems. (English summary) 2003c:65117

Cui, Jun-Zhi see Chen, Jin-ru, 2003d:65104 and 2003e:65215

Dahmen, Wolfgang (with Urban, Karsten; Vorloeper, Jurgen) Adaptive wavelet methods—basic concepts and applications to the Stokes problem. (English summary) (see2003f:42002)

Dai, Zhen-dong (with Xie, Xiao Ping3; Feng, Min-fu) A stabilized finite elementapproximation of viscoelastic fluid flow. (English and Chinese summaries) 2003h:65154

Dauge,Monique (with Schwab, Christoph) hp-FEM for three-dimensional elastic plates.(English summary) 2003h:65155

Davini, Cesare Γ-convergence of external approximations in boundary value problemsinvolving the bi-Laplacian. (English summary) 2003j:65114

Dean, Edward J. (with Glowinski, Roland) Numerical solution of the two-dimensionalelliptic Monge-Ampere equation with Dirichlet boundary conditions: an augmentedLagrangian approach. (English and French summaries)

Deckelnick, Klaus (with Dziuk, Gerhard) A fully discrete numerical scheme for weightedmean curvature flow. (English summary) 2003k:65145

Deıneka, V. S. (with Lyashko, V. I.) Computation schemes of the finite element methodfor the Neumann problem with conjugation conditions. (Russian. English, Russian andUkrainian summaries) (see 2003b:00018)

Dello Russo, Anahı see Alonso, Ana Esther et al., 2003a:65099Demlow, Alan Suboptimal and optimal convergence in mixed finite element methods.(English summary) 2003e:65216

Deuring, Paul Approximating exterior flows by flows on truncated exterior domains:piecewise polygonal artificial boundaries. (English summary) (see 2003f:35004)

Dıez, Pedro see Huerta, Antonio et al., 2003m:65204

Dobrev, Vesselin A. (with Vassilevski, Panayot S.) Local refinement in non-overlappingdomain decomposition. (English summary) (see 2003e:65003)

Dryja, Maksymilian (withWidlund, Olof B.) A FETI-DP method for a mortar discretiza-tion of elliptic problems. (English summary) (see 2003k:65167)A Dirichlet-Neumann algorithm for mortar saddle point problems. (English summary)2003k:65146

Du, Nai-lin (with Du, Nai-xia) A principal theorem of generalized Galerkin’s schemes.(English summary)

Du, Nai-xia see Du, Nai-lin

Du, Qiang Optimization based nonoverlapping domain decomposition algorithms andtheir convergence. (English summary) 2003b:65117

Dutt, Pravir (with Tomar, Satyendra; Rathish Kumar, B. V.) Stability estimates for h-pspectral element methods for elliptic problems. (English summary) 2003k:65147

Dziuk, Gerhard see Deckelnick, Klaus, 2003k:65145El Sossa, Hasna (with Paquet, Luc) Refined mixed finite element method for the Poissonproblem in a polygonal domain with a reentrant corner. (English summary) 2003j:65115

Emmel, L. see Berrone, Stefano,2003i:65104Ern, Alexandre see Burman, Erik, 2003e:65211Ewing, Richard E. (with Lin, Tao1; Lin, Yan-ping) On the accuracy of the finite volumeelement method based on piecewise linear polynomials. (English summary) 2003d:65105see also Chen, Zhangxin, (2003f:65005)

Eymard, Robert (with Gallouet, Thierry; Herbin, Raphaele) Finite volume approximation

of elliptic problems and convergence of an approximate gradient. (English summary)2003c:65118

Fairag, Faisal Two level finite element technique for pressure recovery from stream functionformulation of the Navier-Stokes equations. (English summary) (see 2003d:65004)

Falcon, Santiago (with Gavete, Luis) Essential boundary conditions in a meshless method.An error indicator. (Spanish. English and Spanish summaries) 2003c:65119

Falk, Richard S. see Arnold, Douglas N. et al., 2003c:65112Fan, S. C.2 see Liu, Xin4 et al., 2003h:65159Farhat, Charbel (with Harari, Isaac; Hetmaniuk, Ulrich) A discontinuous Galerkinmethod with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime. (English summary)

Farhloul, M. (with Fortin, Michel) Review and complements on mixed-hybrid finiteelement methods for fluid flows. (English summary) 2003k:65148(with Paquet, Luc) Refined mixed finite element method for the elasticity problem in apolygonal domain. (English summary) 2003c:65120

Feistauer, Miloslav (with Najzar, Karel; Sobotıkova, Veronika) On the finite elementanalysis of problems with nonlinear Newton boundary conditions in nonpolygonaldomains. (English summary) 2003g:65142

Feng, Min-fu see Dai, Zhen-dong et al., 2003h:65154Fernandez-Mendez,Sonia see Huerta, Antonio et al., 2003m:65204

Fish, Jacob see Korneev, Vadim G. et al., 2003m:65205Flaherty, Joseph E. see Korneev, Vadim G. et al., 2003m:65205

Fortin, Michel see Farhloul,M., 2003k:65148de Freitas, J. A. Teixeira Mixed finite element formulation for the solution of parabolicproblems. (English summary) 2003e:65217

Funken, S. A. Reliability of a posteriori estimate techniques in finite element schemes.(English summary) (see 2003f:65007)

Galanin, M. (with Savenkov, E.) Fedorenko finite superelement method as special Galerkinapproximation. (English and Lithuanian summaries) 2003e:65218

Galba, E. F. (with Gladkaya, Yu. A.) Discretization of a conditionally well-posedboundary value problem for a fourth-order elliptic equation. (Russian. English, Russianand Ukrainian summaries) (see 2003b:00018)

Gallouet, Thierry see Eymard, Robert et al., 2003c:65118Gastaldi, Lucia see Boffi, Daniele

Gatica, Gabriel N. see Barrientos, Mauricio A. et al., 2003c:65113;2003c:65114 and Araya,Rodolfo et al., 2003e:65206

Gavete, Luis (with Alonso, Beatriz) Galerkin method with moving least squaresapproximation. (Spanish. Spanish summary) 2003a:65105

see also Falcon, Santiago,2003c:65119Girault, Vivette see Bernardi, Christine et al., 2003b:65116 and Bristeau, M. O. et al.,(2003f:65005)

Givoli, Dan (with Patlashenko, Igor) An optimal high-order non-reflecting finite elementscheme for wave scattering problems. (English summary) 2003a:65106

Gladkaya, Yu. A. see Galba, E. F., (2003b:00018)Glowinski, Roland see Bristeau, M. O. et al., (2003f:65005) and Dean, Edward J.Gomez Marmol, Macarena see Chacon Rebollo, Tomas, (2003a:00034)Gradinaru, V. (with Hiptmair, R.) Mixed finite elements on sparse grids. (Englishsummary) 2003m:65202

Greff, Isabelle see Croisille, Jean-Pierre, 2003c:65117Griebel, Michael (with Schweitzer, Marc Alexander) A particle-partition of unity method.II. Efficient cover construction and reliable integration. (English summary) 2003b:65118

Gu, Hai-ming (with Xu, Xiu-ling) The least-squares mixed finite element methods for adegenerate elliptic problem. (English and Chinese summaries) 2003b:65119

Guo, Benqi see Babuska, Ivo M., 2003a:65101 and 2003f:65187

Guo, Han-Ying (with Ji, Xiao-Mei; Li, Yu-Qi; Wu, Ke1) A note on symplectic, multisym-plectic scheme in finite element method. (English summary) 2003e:65219

Hackbusch, Wolfgang (with Khoromskiı, B. N.) Blended kernel approximation in theH -matrix techniques. (English summary) 2003c:65121

Han, Hou-de (with Zheng, Chun-xiong) Mixed finite element method and high-orderlocal artificial boundary conditions for exterior problems of elliptic equation. (Englishsummary) 2003a:65107

(with Zheng, Chun-xiong) Mixed finite element method and higher-order local artificialboundary conditions for exterior 3-D Poisson equation. (English summary) 2003c:65122

Hansbo, Anita (with Hansbo, Peter) An unfitted finite element method, based on Nitsche’smethod, for elliptic interface problems. (English summary) 2003i:65105

Hansbo, Peter (with Larson, Mats G.) A discontinuous Galerkin method for the plateequation. (English summary) 2003c:65123

see also Hansbo, Anita, 2003i:65105Harari, Isaac see Farhat, Charbel et al.

Harbrecht, H. (with Paiva, Freddy; Perez, C.; Schneider, Reinhold) Biorthogonal waveletapproximation for the coupling of FEM-BEM. (English summary) 2003g:65143

Hauke, G. A simple subgrid scale stabilized method for the advection–diffusion-reactionequation. (English summary) 2003d:65106

Havu, Ville (with Pitkaranta, Juhani) Analysis of a bilinear finite element for shallowshells. I. Approximation of inextensional deformations. (English summary) 2003e:65220

Hecht, Frederic see Bernardi, Christine et al., 2003b:65116Heinrich, B. (with Pietsch, K.) Nitsche type mortaring for some elliptic problem withcorner singularities. (English summary) 2003d:65107

Herbin, Raphaele see Eymard, Robert et al., 2003c:65118Hervella-Nieto, Luis see Bermudez de Castro, Alfredo et al., 2003e:65208Hetmaniuk, Ulrich see Farhat, Charbel et al.

Heuer, Norbert see Araya, Rodolfo et al., 2003e:65206Hild, Patrick (with Laborde, Patrick) Quadratic finite element methods for unilateralcontact problems. (English summary) 2003e:65221

Hiptmair, R. see Gradinaru, V., 2003m:65202Hoffman, Johan Dynamic subgrid modeling for scalar convection-diffusion-reactionequations with fractal coefficients. (English summary) (see 2003d:65004)

Hollig, Klaus Finite element approximation with splines. (see 2003g:65001)Holst, Michael Jay Adaptive numerical treatment of elliptic systems on manifolds. (Englishsummary) 2003a:65108


Hong, Seungwoo (with Kim, Kyungsoo; Lee, Sungyun) Modified cross-grid finite elementsfor the Stokes problem. (English summary) 2003i:65106

Houston, Paul (with Suli, Endre) hp-adaptive discontinuous Galerkin finite elementmethods for first-order hyperbolic problems. (English summary) 2003e:65222

(with Senior, Bill; Suli, Endre) hp-discontinuous Galerkin finite element methods forhyperbolic problems: error analysis and adaptivity. (English summary) 2003g:65144

(with Schwab, Christoph; Suli, Endre) Discontinuous hp-finite element methods foradvection-diffusion-reactionproblems. (English summary) 2003d:65108

Huang,H. T. see Li, Zi Cai, 2003j:65118Huang, Jian Guo (with Zou, Jun) Construction of explicit extension operators on generalfinite element grids. (English summary) 2003m:65203(with Zou, Jun) A mortar element method for elliptic problems with discontinuouscoefficients. (English summary) 2003j:65116see also Chen,Wen Bin et al., 2003k:65144

Huang, Zi Ping see Shu, Ying et al., 2003i:65116Huerta, Antonio (with Fernandez-Mendez, Sonia; Dıez, Pedro) Enrichissement desinterpolations d’elements finis en utilisant des methodes sans maillage. (English andFrench summaries) [Enrichment of finite-element interpolations using mesh-freemethods] 2003m:65204

Hughes, Thomas J. R. see Brezzi, Franco et al., 2003e:65210Hunter, Peter J. see Tomlinson, Karl A. et al., 2003m:65210Idone, Giovanna (withMaugeri, Antonino; Vitanza, Carmela) Equilibrium problems inelastic-plastic torsion. (English summary) (see 2003i:65005)

Il′in, Valeriı Pavlovich (with Laevskiı, Yu. M.) On high-order compact schemes in the finiteelement method. (English summary) 2003f:65192

Islam, Md. Shafiqul (with Alam, M. Jahrul) Accuracy of the quadratic quadrilateral finiteelements of straight sides. (English summary) 2003k:65149

see also Rathod,H. T., 2003i:65112Jansche, Stefan see Carstensen, Carsten et al., 2003g:65139Ji, Xiao-Mei see Guo, Han-Ying et al., 2003e:65219Jung,Michael1 (with Steinbach, Olaf) A finite element-boundary element algorithm forinhomogeneous boundary value problems. (English summary) 2003b:65120

Kako, Takashi (with Nasir, HaniffaM.) Essential spectrum and mixed type finite elementmethod. (English summary) 2003k:65150

see also Nasir, Haniffa M.Kanschat,Guido see Cockburn, Bernardo et al., 2003g:65141Karatson, Janos Sobolev space preconditioning of strongly nonlinear 4th order ellipticproblems. (English summary) (see 2003e:65003)

Kawarada, Hideo see Bernardi, Christine et al., 2003b:65116Kelly, Donald W. see Ainsworth, Mark, 2003a:65096Khoromskiı, B. N. see Hackbusch,Wolfgang, 2003c:65121Khvedelidze, R. On re-iterated method of finite elements.Kim, Hyun-Gyu Interface element method (IEM) for a partitioned system with non-matching interfaces. (English summary) 2003c:65124

Kim, Kwang Yeon see Chou, So-Hsiang et al., 2003g:65140Kim, Kyungsoo see Hong, Seungwoo et al., 2003i:65106Kim, SangDong see Ryoo, Cheon Seoung et al., 2003i:65113Kim, Seki see Kim, Yongdeoket al., 2003b:65121 and 2003g:65145Kim, Yongdeok (with Lee, Sungyun; Kim, Seki) A parallel iterativeGalerkin method basedon nonconforming quadrilateral elements for second-order partial differential equations.(English summary) 2003b:65121

(with Kim, Seki) Stable low order nonconforming quadrilateral finite elements for theStokes problem. (English summary) 2003g:65145

Klose, Roland see Carstensen, Carsten et al., 2003a:65104Knopp, T. (with Lube, Gert; Rapin, G.) Stabilized finite element methods with shockcapturing for advection-diffusion problems. (English summary) 2003c:65125

Knyazev,Andreı Vladimirovich (withWidlund, Olof B.) Lavrentiev regularization+ Ritzapproximation = uniform finite element error estimates for differential equations withrough coefficients. (English summary) 2003i:65107

Kohut,R. see Blaheta, Radim et al., 2003d:65101Korneev,Vadim G. (with Flaherty, Joseph E.; Oden, J. Tinsley; Fish, Jacob) AdditiveSchwarz algorithms for solving hp-version finite element systems on triangular meshes.(English summary) 2003m:65205

Kuhn, Michael (with Steinbach, Olaf) FEM-BEM coupling for 3D exterior magnetic fieldproblems. (English summary) 2003k:65151(with Steinbach, Olaf) Symmetric coupling of finite and boundary elements for exteriormagnetic field problems. (English summary) 2003b:65122

Kuznetsov, Yuriı Alekseevich1 (with Lipnikov, Konstantin) Fast separable solver for mixedfinite element methods and applications. (English summary) 2003k:65152

Kwak, Do Young see Chou, So-Hsiang et al., 2003g:65140Laayouni,L. see Achchab, B. et al.Laborde, Patrick see Hild, Patrick, 2003e:65221Laevskiı, Yu. M. see Il′in, Valeriı Pavlovich, 2003f:65192Lai, Ming-Jun (withWenston, Paul; Ying, Long An) Bivariate C 1 cubic splines forexterior biharmonic equations. (English summary) 2003h:65156

Larson, Mats G. see Hansbo, Peter, 2003c:65123Lazaar, J. (with Nicaise, Serge) A nonconforming finite element method with anisotropicmesh grading for the incompressible Navier-Stokes equations in domains with edges.(English summary) 2003j:65117

Lazarov, RaytchoD. (with Vassilevski, Panayot S.) Numerical methods for convection-diffusion problems on general grids. (English summary) (see 2003h:41001)

Leborgne, G. An optimally consistent stabilization of the inf-sup condition. (Englishsummary) 2003h:65157

Lee, Chang-Ock2 Locking-free finite element methods for planar linear elasticity.(Korean.Korean summary) 2003c:65126

Lee, Chi King see Liu, Xin4 et al., 2003h:65159Lee, Jin-Fa see Sun, Din-Kow et al., 2003c:65128Lee, Sungyun see Kim, Yongdeok et al., 2003b:65121 and Hong, Seungwoo et al.,

2003i:65106

Li, Chang-Pin (with Yang, Zhong Hua1) Remark on Galerkin method for two-

dimensional steady state Kuramoto-Sivashinsky equation. (English summary)2003f:65193

Li, Ji Chun A multiblock mixed finite element method for 2D and 3D elliptic problems onmixed unstructured grids and its parallelization. (English summary) 2003f:65194

Uniform convergence of discontinuous finite element methods for singularly perturbedreaction-diffusion problems. (English summary) 2003c:65127

Li, Likang see Bi, Chunjia, 2003m:65199Li, Qing Shan (with Chen, Shao Chun) Bounds of interpolation error for arbitrary narrowquadrilateral quasi-Wilson element. (English and Chinese summaries) 2003g:65146(with Chen, Shao Chun) A finite element method of narrow quadrilateral for thestationary Stokes equations. (English and Chinese summaries) 2003m:65206

Li, Yu-Qi see Guo, Han-Ying et al., 2003e:65219Li, Zi Cai (with Huang, H. T.) Global superconvergence of simplified hybrid combinationsof the Ritz-Galerkin and FEMs for elliptic equations with singularities. II. Lagrangeelements and Adini’s elements. (English summary) 2003j:65118(with Lu, T. T.) Global superconvergence of finite element methods for biharmonicequations and blending surfaces. (English summary) 2003h:65158(with Yan, Ningning) New error estimates of bi-cubic Hermite finite element methodsfor biharmonic equations. (English summary) 2003e:65223


Lin, Qun1 see Lin, Jia Fu, 2003b:65123Lin, Tao1 see Ewing, Richard E. et al., 2003d:65105Lin, Yan-ping see Zhang, Tie et al., 2003b:65125 and Ewing, Richard E. et al., 2003d:65105Ling, Shi Bo see Chen,Wen Bin et al., 2003k:65144Lipnikov, Konstantin see Kuznetsov, Yuriı Alekseevich1, 2003k:65152Litvin, O. N. (with Nosov, K. V.) Existence and uniqueness of solutions of symmetricboundary value problems that arise in an optimal finite element method. (Ukrainian.Ukrainian summary) (see 2003e:00027)

Liu, Wen Bin1 (with Yan, Ningning) A posteriori error estimates for control problemsgoverned by Stokes equations. (English summary) 2003j:65119(with Yan, Ningning) On quasi-norm interpolation error estimation and a posteriorierror estimates for p-Laplacian. (English summary) 2003m:65207

Liu, Xin4 (with Lee, Chi King; Fan, S. C.2) On using enriched cover function in thepartition-of-unitymethod for singular boundary-value problems. (English summary)2003h:65159

Lu, Ming Wan see Zhang, Xiong et al.

Lu, T. T. see Li, Zi Cai, 2003h:65158Lube, Gert see Otto, F. C. et al., 2003a:65110 and Knopp, T. et al., 2003c:65125Luo, Ping1 (with Zhou, Aihui) Accurate parallel algorithm for Adini nonconforming finiteelement. (English summary)

Lyashko, V. I. see Deıneka, V. S., (2003b:00018)Ma, Liming (with Chang, Qian Shun) Compensation method of an optimal-orderWilsonnonconforming multigrid. (see 2003f:65005)

Maday, Yvon (with Patera, Anthony T.; Rovas, Dimitrios V.) A blackbox reduced-basisoutput bound method for noncoercive linear problems. 2003j:65120

(with Rapetti, Francesca; Wohlmuth, Barbara I.) The influence of quadrature formulasin 2D and 3D mortar element methods. (English summary) (see 2003k:65167)(with Rønquist, Einar M.) A reduced-basis element method. (English and Frenchsummaries) 2003h:65160(with Patera, Anthony T.; Turinici, Gabriel) Global a priori convergence theory forreduced-basis approximations of single-parameter symmetric coercive elliptic partialdifferential equations. (English and French summaries) 2003h:65161

(with Rønquist, Einar M.) A reduced-basis element method. (English summary)2003e:65224

see also Achdou,Yves, 2003f:65186Maischak, Matthias see Barrientos, Mauricio A. et al., 2003c:65113Marcinkowski, Leszek A mortar element method for some discretizations of a plateproblem. (English summary) 2003m:65208

Marini, Luisa Donatella see Brezzi, Franco, 2003k:65142Marquez Gentil, Antonio seeMeddahi, Salim, 2003m:65209

Massey, Thomas C. see Adjerid, Slimane, 2003j:65110Matache, Ana-Maria (with Schwab, Christoph) Two-scale FEM for homogenizationproblems. (English summary) 2003h:65162

see also Schwab, Christoph, 2003i:65114 and 2003i:65115Maugeri, Antonino see Idone, Giovanna et al., (2003i:65005)Meddahi, Salim (withMarquez Gentil, Antonio) A combination of spectral and finiteelements for an exterior problem in the plane. (English summary) 2003m:65209

Melenk, Jens M. hp-finite element methods for singular perturbations. 2003i:65108Micheletti, Stefano see Bottasso, Carlo L. et al., 2003h:65153Mignot, Alain (with Surry, Claude) Estimation de l’erreur d’interpolation pour deselements finis anisotropes. (English, French and Polish summaries) [Interpolation errorestimates for anisotropic finite elements] 2003i:65109


(with Shi, Zhong Ci) OptimalL 2 error bounds for MITC3 type element. (Englishsummary) 2003e:65225

Morin, Pedro (with Nochetto, Ricardo H.; Siebert, Kunibert G.) Convergence of adaptivefinite element methods. (English summary)

Muller, L. see Otto, F. C. et al., 2003a:65110Najib, K. (with Sandri, D.) High order finite element and decoupled algorithm for theapproximation of viscoelastic fluid flow. (English summary) 2003e:65226

Najzar, Karel see Feistauer,Miloslav et al., 2003g:65142Nakao, Mitsuhiro T. (with Ryoo, Cheon Seoung) Numerical verification methods forsolutions of free boundary problems. (English summary) 2003d:65109

Nasir, Haniffa M. (with Kako, Takashi) A numerical approximation method for a non-local operator applied to radiation problem. (English summary)see also Kako, Takashi, 2003k:65150

Nataraj, Neela see Bhattacharyya, Pulin Kumar, 2003f:65188Newman, Michael Glen see Safjan, Andrzej J., 2003d:65110


Nicaise, Serge see Apel, Thomas et al., 2003a:65100and Lazaar, J., 2003j:65117Niekamp, R. (with Stein, Erwin) The hierarchically graded multilevel finite elementmethod. A new approach to combine the h- and the p-method using multilevel gradedansatz-spaces. (English summary) 2003a:65109

Nochetto, Ricardo H. (withWahlbin, Lars B.) Positivity preserving finite elementapproximation. (English summary) 2003i:65110

see alsoMorin, Pedro et al.Nosov, K. V. see Litvin, O. N., (2003e:00027)Oden, J. Tinsley see Korneev,Vadim G. et al., 2003m:65205 and Prudhomme, Serge et al.Otto, F. C. (with Lube, Gert; Muller, L.) An iterative substructuring method for div-stablefinite element approximations of the Oseen problem. (English summary) 2003a:65110

Padra, Claudio see Alonso, Ana Esther et al., 2003a:65099Paiva, Freddy see Harbrecht, H. et al., 2003g:65143Pal′tsev, B. V. see Belash, V. O., 2003k:65141Pan, Lu (with You, Xiong) A stabilized finite element method for viscoelastic fluid flows.(Chinese. English and Chinese summaries) 2003i:65111

Pan, Tsorng-Whay see Bristeau, M. O. et al., (2003f:65005)Paquet, Luc see Farhloul,M., 2003c:65120 and El Sossa, Hasna, 2003j:65115Patera, AnthonyT. seeMaday, Yvon et al., 2003h:65161 and 2003j:65120

Patlashenko, Igor see Givoli, Dan, 2003a:65106Perez, C. see Harbrecht, H. et al., 2003g:65143Periaux, J. see Bristeau, M. O. et al., (2003f:65005)Perrier, Valerie see Bertoluzza, Silvia, (2003f:65007)Pietsch, K. see Heinrich, B., 2003d:65107Pinchedez,Katia see Ainsworth, Mark, 2003i:65102Pironneau,Olivier see Bernardi, Christine et al., 2003b:65116Pitkaranta, Juhani see Havu, Ville, 2003e:65220Polman, B. see Achchab,B. et al.

Price, T. E. Numerically exact integration of a family of axisymmetric finite elements.(English summary)

Prudhomme, Serge (with Oden, J. Tinsley; Westermann, Tim; Bass, Jon; Botkin, Mark E.)Practicalmethods for a posteriori error estimation in engineering applications. (Englishsummary)

Pullan, Andrew J. see Tomlinson, Karl A. et al., 2003m:65210Qiao, ZhongHua (with Chen, Shao Chun) Narrow bicubic Hermite rectangular elements.(Chinese. English and Chinese summaries)

Qin, Qing-Hua The Trefftz finite and boundary element method. (English summary)2003e:65227

Qu, ShuangHong (with Chen, Shao Chun) Narrow Hermite triangular element forsecond-order problems. (Chinese. English and Chinese summaries)

Racheva,Milena R. see Andreev, A. B.

Rapetti, Francesca seeMaday, Yvon et al., (2003k:65167)Rapin, G. see Knopp, T. et al., 2003c:65125Rathish Kumar, B. V. see Dutt, Pravir et al., 2003k:65147Rathod,H. T. (with Islam, Md. Shafiqul) Technical note: Reduction of rational inte-grals related to linear and convex quadrilateral finite elements. (English summary)2003i:65112

Reddy, B. D. see Arunakirinathar, K., 2003g:65137Rodrıguez,Rodolfo see Alonso, Ana Esther et al., 2003a:65099 and Bermudez de Castro,

Alfredo et al., 2003e:65208Rønquist,Einar M. seeMaday, Yvon, 2003e:65224 and 2003h:65160

Roos,Hans-Gorg Optimal convergence of basic schemes for elliptic boundary valueproblems with strong parabolic layers. (English summary) 2003e:65228

Rovas, Dimitrios V. seeMaday, Yvon et al., 2003j:65120Ryoo, Cheon Seoung (with Song, Howan; Kim, Sang Dong) Numerical verification ofsolutions for some unilateral boundary value problems. (English summary) 2003i:65113

see also Nakao, Mitsuhiro T., 2003d:65109Sacco, Riccardo see Bottasso, Carlo L. et al., 2003h:65153Safjan,Andrzej J. (with Newman, Michael Glen) Three-dimensional infinite elementsutilizing basis functions with compact support. (English summary) 2003d:65110

Sandri, D. see Najib, K., 2003e:65226Sarkis, Marcus Partition of unity coarse spaces and Schwarz methods with harmonicoverlap. (English summary) (see 2003k:65167)

Savenkov,E. see Galanin, M., 2003e:65218Schneider, Reinhold see Harbrecht, H. et al., 2003g:65143Schoberl, Joachim see Apel, Thomas et al., 2003a:65100Schotzau,Dominik see Castillo, Paul et al., 2003e:65214 and Cockburn, Bernardo et al.,

2003g:65141

Schumaker, Larry L. see Alfeld, Peter, 2003a:65097and 2003a:65098

Schwab, Christoph (withMatache, Ana-Maria) High order generalized FEM for latticematerials. (English summary) 2003i:65114

Two scale FEM for homogenization problems. (English summary) 2003e:65229(withMatache, Ana-Maria) Generalized FEM for homogenization problems. (Englishsummary) 2003i:65115

see also Houston, Paul et al., 2003d:65108;Castillo, Paul et al., 2003e:65214;Cockburn,Bernardo et al., 2003g:65141;Dauge, Monique, 2003h:65155 andMatache, Ana-Maria,2003h:65162

Schweitzer, Marc Alexander see Griebel, Michael, 2003b:65118Scott,L. Ridgway see Brenner, Susanne C., 2003a:65103Senior, Bill see Houston, Paul et al., 2003g:65144Seshaiyer, Padmanabhan (with Smith, Philip Wesley) A non-conforming finite elementmethod for sub-meshing. (English summary) 2003k:65153

see also Ben Belgacem, Faker et al., (2003k:65167)Shi, Dong Yang (with Song, Shi Cang) New error estimates of the incomplete biquadraticnonconforming plate element when the load belongs toH−1(Ω). (Chinese. English andChinese summaries)

Shi, Zhong Ci (with Xie, Zhenghui) Substructure preconditioners for nonconforming plateelements. (see 2003f:65005)see alsoMing, Ping-bing, 2003e:65225 and 2003h:65163

Shin, Byeong Chun see Cai, Zhiqiang, 2003f:65189

Shu, Ying (with Zhang, Shun; Wu, Wen Qing; Huang, Zi Ping) A mortar finite elementmethod for a linear Poisson-Boltzmann equation. (Chinese. English and Chinesesummaries) 2003i:65116

Siebert, Kunibert G. seeMorin, Pedro et al.

Smith, Philip Wesley see Seshaiyer, Padmanabhan,2003k:65153Sobotıkova, Veronika see Feistauer,Miloslav et al., 2003g:65142Song, Howan see Ryoo, Cheon Seoung et al., 2003i:65113Song, Kang Zu see Zhang, Xiong et al.Song, Shi Cang see Shi, Dong Yang

Souissi, A. see Achchab,B. et al.Stathopoulos,Andreas (with Teng, Shang-Hua) Recovering mesh geometry from a stiffnessmatrix. (English summary) 2003h:65164

Stein, Erwin see Niekamp, R., 2003a:65109Steinbach,Olaf On a generalizedL2 projection and some related stability estimates inSobolev spaces. (English summary) 2003a:65111

see also Jung,Michael1, 2003b:65120;Kuhn, Michael, 2003b:65122 and 2003k:65151Stephan, Ernst P. see Barrientos,Mauricio A. et al., 2003c:65114Stevenson, Rob A stable, direct solver for the gradient equation. (English summary)

2003i:65117

Sugimoto, Rie (with Bettess, Peter; Trevelyan, Jon) A numerical integration scheme forspecial quadrilateral finite elements for the Helmholtz equation. (English summary)

Sukumar, N. see Chopp, David L.Suli, Endre see Houston, Paul et al., 2003d:65108; 2003e:65222; 2003g:65144 and Brezzi,

Franco et al., 2003e:65210Sun, Din-Kow (with Lee, Jin-Fa; Cendes, Zoltan) Construction of nearly orthogonalNedelec bases for rapid convergence with multilevel preconditioned solvers. (Englishsummary) 2003c:65128

Surry, Claude seeMignot, Alain, 2003i:65109Suzuki, Atsushi Implementation of non-overlapping domain decomposition methods onparallel computer ADENA. (see 2003f:65005)

Tabacco Vignati, Anita see Canuto, Claudio, 2003d:65102Tait, Robert J. see Zhang, Tie et al., 2003b:65125Teng, Shang-Hua see Stathopoulos,Andreas, 2003h:65164Tidriri, Moulay D. Analysis of the hybrid finite element/finite volume methods for linearhyperbolic and convection-dominatedconvection-diffusion problems. (English summary)2003b:65124

Todorov, Todor Dimitrov2 21-node 3-simplex isoparametric finite element. (Englishsummary)

Tomar, Satyendra see Dutt, Pravir et al., 2003k:65147Tomlinson, Karl A. (with Hunter, Peter J.; Pullan, Andrew J.) A finite element method foran eikonal equation model of myocardial excitation wavefront propagation. (Englishsummary) 2003m:65210

Toselli, Andrea hp discontinuous Galerkin approximations for the Stokes problem.(English summary) 2003m:65211

Trevelyan, Jon see Sugimoto, Rie et al.

Trif, Damian On sinc methods for partial differential equations. (English summary)Troltzsch, Fredi see Arada, Nadir et al., 2003k:65140Trujillo, David see Amara, Mohamed et al., 2003e:65205Turinici, Gabriel seeMaday, Yvon et al., 2003h:65161Urban, Karsten see Dahmen, Wolfgang et al., (2003f:42002)Uson-Fornies, Fernando A method of discretization for the Lagerstrom-Cole modelequation. (English summary) 2003d:65111

Vassilevski, Panayot S. see Dobrev, Vesselin A., (2003e:65003) and Lazarov, Raytcho D.,(2003h:41001)

Veeser, Andreas Convergent adaptive finite elements for the nonlinear Laplacian. (Englishsummary) 2003j:65121

Venkatasubban,Chittur S. EULAIR: a novel finite-element-basedCartesian grid Euler flowsolver that does not require cut-cell geometric information at solid boundaries. (Englishsummary) 2003g:65147

Vitanza, Carmela see Idone, Giovanna et al., (2003i:65005)Vorloeper, Jurgen see Dahmen, Wolfgang et al., (2003f:42002)Voth, Thomas E. see You, Yang et al., 2003m:65213Wahlbin, Lars B. see Nochetto, Ricardo H., 2003i:65110Wang, Guang Hui (withWang, Lie Heng) Uzawa type algorithm based on dual mixedvariational formulation. (English and Chinese summaries) 2003k:65154

Wang, Lie Heng On the quadratic finite element approximation to the obstacle problem.(English summary) 2003i:65118

see alsoWang,Guang Hui, 2003k:65154Wenston, Paul see Lai, Ming-Jun et al., 2003h:65156Westermann, Tim see Prudhomme, Serge et al.Widlund,Olof B. see Knyazev, Andreı Vladimirovich, 2003i:65107 and Dryja, Maksymilian,(2003k:65167)

Winther, Ragnar see Arnold, Douglas N., 2003i:65103Wohlmuth, Barbara I. seeMaday, Yvon et al., (2003k:65167)Wu, Jin Biao Numerical approximation of interface problems for elliptic differentialequations. (Chinese. English and Chinese summaries)

Wu, Ke1 seeGuo, Han-Ying et al., 2003e:65219Wu, Wen Qing see Shu, Ying et al., 2003i:65116Xiang, Y. see Bristeau, M. O. et al., (2003f:65005)Xie, Xiao Ping3 see Dai, Zhen-dong et al., 2003h:65154Xie, Zhenghui see Shi, Zhong Ci, (2003f:65005)Xu, Xiu-ling see Gu, Hai-ming, 2003b:65119Xu, Xue-jun see Chen, Jin-ru, 2003f:65190; 2003j:65113 and 2003k:65143Yan, Jia Bin see Zhang, Tie

Yan, Ningning see Li, Zi Cai, 2003e:65223;Liu, Wen Bin1, 2003j:65119and 2003m:65207Yang, Suh-Yuh Analysis of piecewise linear approximations to the generalized Stokesproblem in the velocity-stress-pressure formulation. (English summary) 2003m:65212On the subdomain-Galerkin/least squares method for 2- and 3-D mixed elliptic problemswith reaction terms. (English summary) 2003g:65148see also Chang, Ching L., 2003d:65103


Yang, ZhongHua1 see Li, Chang-Pin, 2003f:65193Ye, Xing De see Cheng, Xiao Liang, 2003f:65191Ying, Long An see Lai, Ming-Jun et al., 2003h:65156You, Xiong see Pan, Lu, 2003i:65111You, Yang (with Chen, Jiun-Shyan; Voth, Thomas E.) Characteristics of semi- and fulldiscretization of stabilized Galerkin meshfree method. (English summary) 2003m:65213

Younes,Anis see Chavent,Guy et al., 2003m:65201

Zeng, Jin Ping (with Zhou, Shu Zi) The monotone convergence and convergence rateanalysis of domain decomposition methods for solving unilateral obstacle problems.(Chinese. English summary) 2003m:65214

Zhang, Shun see Shu, Ying et al., 2003i:65116Zhang, Tie (with Lin, Yan-ping; Tait, Robert J.) Superapproximation properties ofthe interpolation operator of projection type and applications. (English summary)2003b:65125(with Yan, Jia Bin) Derivative recovery techniques for linear finite elements and theirsuperconvergence. (Chinese. English and Chinese summaries)

Zhang, Xiong (with Song, Kang Zu; Lu, Ming Wan) Weighted residual method withcompactly supported trial functions. (Chinese. English and Chinese summaries)


Zheng, Chun-xiong see Han, Hou-de, 2003a:65107 and 2003c:65122Zheng,Quan1 A coupling method of curved FEM and natural BEM for solving theexterior problem. (Chinese. English summary) 2003f:65195

Zhou, Aihui see Luo, Ping1

Zhou, Shu Zi see Zeng, Jin Ping, 2003m:65214

Zhu,Qi Ding A probabilistic computing method for elliptic boundary value problems.(Chinese. English and Chinese summaries) 2003d:65112

Zlotnik, A. A. On superconvergence of a gradient for finite element methods for an ellipticequation with the nonsmooth right-hand side. (English summary) 2003m:65215

Zou, Jun see Huang, Jian Guo, 2003j:65116 and 2003m:65203


Lecture Notes in Mathematics seeMelenk, Jens M., 2003i:65108


Abboud,Toufic (with Salaun, Michel; Salmon, Stephanie) Integral method for the Stokesproblem. (English and French summaries) 2003a:76041

Achchab,B. (with Achchab, Said; Agouzal, Abdellatif; Ellaia, R.) On a posteriori errorestimator for primal, equilibrium and mixed approximation of diffusion equations.(English summary) 2003m:65194

Achchab,Said see Achchab, B. et al., 2003m:65194

Achdou,Yves (with Kuznetsov, Yuriı Alekseevich1) Algorithms for the mortar elementmethod. (English summary) (see 2003f:65005)

Ackerer, Philippe see Hoteit, H. et al., 2003h:76091Adjerid, Slimane A posteriori error estimates for fourth-order elliptic problems. (Englishsummary) 2003j:65105

Agouzal,Abdellatif see Achchab, B. et al., 2003m:65194

Aifantis, Elias C. see Tenek, L. TeneketzisAlberty, Jochen (with Carstensen, Carsten; Funken, S. A.; Klose, Roland) Matlab imple-mentation of the finite element method in elasticity. (English summary) 2003m:74101

Alfonzetti, Salvatore (with Borzı, Giuseppe) Finite-element solution to electromagneticscattering problems by means of the Robin boundary condition iteration method.(English summary) 2003d:78039

Al-Gahtani,Husain J. see El-Gebeily, Mohamed A. et al., 2003g:65155Amara, Mohamed (with Ben Younes, Meriem; Bernardi, Christine) Error indicators for theStokes equations in stream-vorticity formulation. (English summary) (see 2003a:00031)(with Capatina-Papaghiuc,Daniela; Chatti, Amna) New locking-freemixed method forthe Reissner-Mindlin thin plate model. (English summary) 2003k:74046


Andreev, A. B. (with Racheva, Milena R.) Superconvergent FE postprocessing foreigenfunctions. (English summary) 2003a:65095

Angermann, Lutz A posteriori error estimates for FEM with violated Galerkin orthogonal-ity. (English summary) 2003b:65113

Apel, Thomas (with Sandig, Anna-Margarete; Solov′ev, S. I.) Computation of 3D vertexsingularities for linear elasticity: error estimates for a finite element method on gradedmeshes. (English summary) 2003k:74024

Asadzadeh,Mohammad (with Sopasakis, Alexandros) On fully discrete schemes for theFermi pencil-beam equation. (English summary) 2003k:82097

Atluri, Satya N. (with Shen, Shengping) The meshless local Petrov-Galerkin (MLPG)method: a simple & less-costly alternative to the finite element and boundary elementmethods. (English summary) 2003a:65114

Axelsson, Owe (with Barker, V. A.; Neytcheva, M.; Polman, B.) Solving the Stokesproblem on a massively parallel computer. (English and Lithuanian summaries)2003c:65155

Babuska, Ivo M. (with Banerjee, Uday; Osborn, John E.) On principles for the selectionof shape functions for the generalized finite element method. (English summary)2003i:65062

see also Zhang, Lin et al., 2003a:65091; 2003e:65197 and Deb, Manas K. et al.,2003g:65009

Baillet, Laurent (with Sassi, Taoufik) Methode d’elements finis avec hybridisation frontierepour les problemes de contact avec frottement. (English and French summaries)[Finite element method with Lagrange multipliers for contact problems with friction]2003h:74068

Banerjee, Uday see Babuska, Ivo M. et al., 2003i:65062Bank, Randolph E. (with Jimack, Peter K.; Nadeem, Sarfraz A.; Nepomnyashchikh, SergeıV.) A weakly overlapping domain decomposition preconditioner for the finite elementsolution of elliptic partial differential equations. (English summary) 2003f:65047

Bao, Weizhu An economical finite element approximation of generalizedNewtonian flows.(English summary) 2003d:76102

(with Han, Hou-de) Error bounds for the finite element approximation of an incom-pressible material in an unbounded domain. (English summary) 2003j:74054

Barboteu,Mikael (with Han, Weimin; Sofonea, Mircea) Numerical analysis of a bilateralfrictional contact problem for linearly elastic materials. (English summary) 2003g:74065

Barker, V. A. see Axelsson, Owe et al., 2003c:65155Barrenechea, Gabriel R. (with Valentin, Frederic) An unusual stabilized finite elementmethod for a generalized Stokes problem. (English summary) 2003i:76063

Bathe, Klaus Jurgen (with Brezzi, Franco) Stability of finite element mixed interpolationsfor contact problems. (English and Italian summaries) 2003c:74088

Beck, Rudolf (with Hiptmair, R.; Wohlmuth, Barbara I.) Hierarchical error estimator foreddy current computation. (see 2003f:65007)

Belhachmi, Z. (with Ben Belgacem, Faker) Quadratic finite element approximation of theSignorini problem. (English summary) 2003i:74037

Belytschko, Ted (with Liu, Wing Kam; Moran, Brian) Nonlinear finite elements forcontinua and structures. (English summary) 2003a:74052

Benamou, Jean-David (with Brenier, Yann; Guittet, K.) The Monge-Kantorovitchmass transfer and its computational fluid mechanics formulation. (English summary)2003i:35228

Ben Belgacem, Faker (with Buffa, A.; Maday, Yvon) The mortar finite element method for3DMaxwell equations: first results. (English summary) 2003i:78019

see also Belhachmi, Z., 2003i:74037Bendali, Abderrahmane see Slimane, Leila et al., 2003d:49017Ben Younes,Meriem see Amara, Mohamed et al., (2003a:00031)Bernardi, Christine (with Fietier, Nicolas; Owens, Robert G.) An error indicator formortar element solutions to the Stokes problem. (English summary) 2003g:65135

see also Amara, Mohamed et al., (2003a:00031)Berndt, M. (with Lipnikov, Konstantin; Moulton, J. David; Shashkov, M. Yu.) Conver-gence of mimetic finite difference discretizations of the diffusion equation. (English sum-mary) 2003a:65085

Berrone, Stefano Robustness in a posteriori error analysis for FEM flow models. (Englishsummary) 2003d:76103

Bertoluzza, Silvia (with Falletta, Silvia; Perrier, Valerie) Wavelet/FEMcoupling by themortar method. (English summary) (see 2003k:65167)

Bertrand, Francois (with Tanguy, Philippe A.) Krylov-based Uzawa algorithms for thesolution of the Stokes equations using discontinuous-pressure tetrahedral finite elements.(English summary) 2003g:76072

Bhattacharyya, Pulin Kumar (with Nataraj, Neela) Error estimates for isoparametricmixed finite element solution of 4th order elliptic problems with variable coefficients.(English summary) 2003c:74089

Boffi, Daniele (with Gastaldi, Lucia) On the quadrilateralQ2-P1 element for the Stokesproblem. (English summary) 2003g:76073(with Gastaldi, Lucia) Edge finite elements for the approximation of Maxwell resolventoperator. (English summary) 2003c:78011

Bonet, Javier (with Huerta, Antonio; Peraire, J.) The efficient computation of bounds forfunctionals of finite element solutions in large strain elasticity. (English summary)

Bonnet-Bendhia,Anne-Sophie (with Tillequin, A.) A generalized mode matching methodfor scattering problems with unbounded obstacles. (English summary) 2003e:76072

Borm, Steffen (with Hiptmair, R.) Multigrid computation of axisymmetric electromagneticfields. (English summary) 2003d:78042

Borrvall, Thomas (with Petersson, Joakim) Topology optimization of fluids in Stokes flow.(English summary) 2003j:76042

Borzı, Giuseppe see Alfonzetti, Salvatore, 2003d:78039Boulbrachene,Messaoud (with Haiour, M.; Chentouf, Boumediene) On a noncoercivesystem of quasi-variational inequalities related to stochastic control problems. (Englishsummary) 2003b:93093

Pointwise error estimate for a noncoercive system of quasi-variational inequalities relatedto the management of energy production. (English summary)

Brenier, Yann see Benamou, Jean-David et al., 2003i:35228Brezzi, Franco see Bathe, Klaus Jurgen, 2003c:74088Budd, Chris J. (with Humphries, A. R.) Numerical and analytical estimates of existenceregions for semi-linear elliptic equations with critical Sobolev exponents in cuboid andcylindrical domains. (English summary) 2003m:35061

Buffa, A. see Ben Belgacem, Faker et al., 2003i:78019Cai, Wei Algorithmic issues for electromagnetic scattering in layered media: Green’sfunctions, current basis, and fast solver. (English summary) 2003e:78014

Cai, Zhiqiang (with Kim, Seokchan; Woo, Gyungsoo) A finite element method usingsingular functions for the Poisson equation: crack singularities. (English summary)2003i:74045

Capatina-Papaghiuc,Daniela see Amara, Mohamed et al., 2003k:74046 and 2003k:74058Carstensen, Carsten (with Plechac, Petr) Numerical analysis of a relaxed variational modelof hysteresis in two-phase solids. (English summary) 2003c:74071(with Klose, Roland) Elastoviscoplastic finite element analysis in 100 lines of Matlab.(English summary) 2003h:74069see also Alberty, Jochen et al., 2003m:74101

Casas Renterıa, Eduardo Error estimates for the numerical approximation of semilinearelliptic control problems with finitely many state constraints. (English summary)2003i:49056

Castro-Dıaz, Manuel Jesus see Pares, Carlos et al., 2003g:49011Causin, Paola (with Sacco, Riccardo) A dual-mixed hybrid formulation for fluidmechanics problems: mathematical analysis and application to semiconductor processtechnology. (English summary) 2003m:76105

Chakib, Abdelkrim (with Ghemires, Touria; Nachaoui, Abdeljalil) An optimal shapedesign formulation for inhomogeneous dam problems. (English summary) 2003a:49053

Chatti, Amna see Amara, Mohamed et al., 2003k:74046 and 2003k:74058

Chatzipantelidis,Panagiotis Finite volume methods for elliptic PDE’s: a new approach.(English summary) 2003e:65189

Chen, Hongsen (with Chen, Zhangxin; Huan, Guanren; Wang, Zhongxiao) Mixeddiscontinuous FE methods and their applications to two-phase flow in porous media.(English summary) 2003d:76104

Chen, Jian Ye (with Xu, Di-hong; Sun, Le Lin) Application of splitting extrapolation to


Stokes equation. (English summary)Chen, Shao Chun see Song, Shi Cang et al.Chen, Zhangxin see Chen, Hongsen et al., 2003d:76104Chen, Zhi Ming1 (with Dai, Shibin) On the efficiency of adaptive finite element methodsfor elliptic problems with discontinuous coefficients. (English summary) 2003k:65160

Chentouf,Boumediene see Boulbrachene,Messaoud et al., 2003b:93093Chinosi, C. Remarks on some mixed finite element schemes for Reissner-Mindlin platemodel. (English summary) 2003f:74045


Chugunov,V. A. (with Vasilevskiı, Yu. V.) Parallel multilevel data structures for anonconforming finite element problem on unstructured meshes. (English summary)

Cohen, Albert (with Dahmen, Wolfgang;DeVore, R. A.) Adaptive wavelet methods. II.Beyond the elliptic case. (English summary) 2003f:65212

Copetti,M. I. M. A one-dimensional thermoelastic problem with unilateral constraint.(English summary) 2003d:74020

Croisille, Jean-Pierre Keller’s box-scheme for the one-dimensional stationary convection-diffusion equation. (English summary) 2003c:65103

Dahmen, Wolfgang see Cohen, Albert et al., 2003f:65212Dai, Shibin see Chen, Zhi Ming1, 2003k:65160Davydov,Oleg On local refinement of smooth finite elements and splines. (Englishsummary) 2003m:65221

Deb, ManasK. (with Babuska, Ivo M.; Oden, J. Tinsley) Solution of stochastic partialdifferential equations using Galerkin finite element techniques. (English summary)2003g:65009

Demkowicz, L. see Vardapetyan, L., 2003k:78032Desai, Chandrakant S. (with Kundu, Tribikram) Introductory finite element method.(English summary) 2003a:65001

Deuring, Paul Calculating Stokes flows around a sphere: comparison of artificial boundaryconditions. (English and Italian summaries) 2003d:35213

DeVore, R. A. see Cohen, Albert et al., 2003f:65212Dicky, Jozef see Lovısek, Jan, 2003j:74049Dimitrov, A. (with Schnack, E.) Asymptotical expansion in non-Lipschitzian domains—anumerical approach. (English summary) 2003i:74020

Dorfler, Willi (with Nochetto, Ricardo H.) Small data oscillation implies the saturationassumption. (English summary) 2003e:65195

Dryja, Maksymilian see Klawonn, Axel et al., 2003g:65044 and (2003k:65167)Duan, Huo Yuan (with Liang, Guo Ping) An improved Reissner-Mindlin triangularelement. (English summary) 2003c:74092

Dubois, Francois (with Salaun, Michel; Salmon, Stephanie) Discrete harmonics for streamfunction-vorticity Stokes problem. (English summary) 2003h:76088

Dufour, E. see Vuik, C. et al., 2003e:65052Dular, P. Dual magnetodynamic finite element formulations with natural definitions ofglobal quantities for electric circuit coupling. (see 2003f:78001)

El-Gebeily, Mohamed A. (with Elleithy, Wael M.; Al-Gahtani, Husain J.) Convergence ofthe domain decomposition finite element-boundary element coupling methods. (Englishsummary) 2003g:65155

Ellaia, R. see Achchab, B. et al., 2003m:65194Elleithy,Wael M. see El-Gebeily, Mohamed A. et al., 2003g:65155Elman, Howard C. (with Ramage, Alison) An analysis of smoothing effects of upwindingstrategies for the convection-diffusionequation. (English summary) 2003g:76074

Elschner, Johannes (with Hinder, Rainer; Schmidt, Gunther) Finite element solution ofconical diffraction problems. (English summary) 2003e:78015

Engel, Gerald (with Garikipati, K.; Hughes, Thomas J. R.; Larson, Mats G.; Mazzei, L.;Taylor, Robert Leroy) Continuous/discontinuous finite element approximations offourth-order elliptic problems in structural and continuum mechanics with applicationsto thin beams and plates, and strain gradient elasticity. (English summary) 2003d:74086

Erhel, Jocelyne see Hoteit, H. et al., 2003h:76091Falletta, Silvia see Bertoluzza, Silvia et al., (2003k:65167)Farhat, Charbel see Hetmaniuk, Ulrich, (2003k:65167)Farhloul,M. (with Zine, A. M.) A mixed finite element method for a Ladyzhenskayamodel. (English summary) 2003h:76089(with Zine, A. M.) A new mixed finite element method for the Stokes problem. (Englishsummary) 2003k:76083

Feng,Min-fu (withMing, Ping-bing; Yang, Rong-kui) Absolute stable homotopy finiteelement methods for circular arch problem and asymptotic exactness posteriori errorestimate. (English summary) 2003i:74047

Fernandes,Luis M. (with Figueiredo, Isabel M. N.; Judice, Joaquim J.) On the solutionof a finite element approximation of a linear obstacle plate problem. (English summary)2003d:74087

FernandezGarcıa, Jose Ramon (with Sofonea, Mircea; Viano Rey, Juan M.) A frictionlesscontact problem for elastic-viscoplasticmaterials with normal compliance: numericalanalysis and computational experiments. (English summary) 2003b:74053

Fietier, Nicolas see Bernardi, Christine et al., 2003g:65135Figueiredo, Isabel M. N. see Fernandes,Luis M. et al., 2003d:74087Fish, Jacob see Korneev, Vadim G. et al., 2003k:65165Flaherty, Joseph E. see Korneev, Vadim G. et al., 2003k:65165Florez,W. F. Nonlinear flow using dual reciprocity. (English summary) 2003g:65150

Funken, S. A. see Alberty, Jochen et al., 2003m:74101

Garikipati, K. see Engel, Gerald et al., 2003d:74086Gartling, D. K. see Reddy, J. N., 2003a:80009Gastaldi, Lucia see Boffi, Daniele, 2003c:78011and 2003g:76073

Gatica, Gabriel N. (with Heuer, Norbert) A preconditioned MINRES method for thecoupling of mixed-FEM and BEM for some nonlinear problems. (English summary)2003m:65197

Solvability and Galerkin approximations of a class of nonlinear operator equations.(English summary) 2003h:65074

(with Gatica, Luis F.; Stephan, Ernst P.) A FEM-DtN formulation for a non-linearexterior problem in incompressible elasticity. (English summary) 2003k:74059

Gatica, Luis F. see Gatica, Gabriel N. et al., 2003k:74059Gerrtisma, M. I. see Proot, M. M. J., 2003g:76083Ghemires, Touria see Chakib, Abdelkrim et al., 2003a:49053Ghidaglia, Jean-Michel see Pascal, Frederic, 2003g:65133Giannoutakis, KonstantinosM. see Gravvanis, George A.

Giordana, S. see Peiro, J. et al., 2003g:76082Girault, Vivette (with Scott, L. Ridgway) Hermite interpolation of nonsmooth functionspreserving boundary conditions. (English summary) 2003e:65012

Gnaneshwar, N. see Kulkarni, Rekha P., 2003e:65203Gockenbach,Mark S. Partial differential equations. 2003m:35001

Goldfeld, Paulo (with Pavarino, Luca F.; Widlund, Olof B.) Balancing Neumann-Neumann methods for mixed approximations of linear elasticity. (English summary) (see2003k:65167)

Gopalakrishnan, Jayadeep (with Pasciak, Joseph E.) Overlapping Schwarz preconditionersfor indefinite time harmonic Maxwell equations. (English summary) 2003i:78020

Gravvanis, George A. (with Giannoutakis, Konstantinos M.) Normalized explicit finiteelement approximate inverses. (English summary)

Griffith, C. see Peiro, J. et al., 2003g:76082Grinspun, Eitan see Krysl, Petr et al.

Gu, Jinsheng (with Hu, Xiancheng) Some recent developments in domain decompositionmethods with nonconforming finite elements. (see 2003f:65005)

Guediri, Hocine A regularization procedure for a boundary variational inequality of thesecond kind. (English summary) 2003a:65052

Guittet, K. see Benamou, Jean-David et al., 2003i:35228Guo, Yong-Ming (with Nakanishi, Kenji2; Yokouchi, Yasuto) Rigid-plastic hybrid elementanalyses of the plane strain upsetting. (English summary)

Haiour, M. see Boulbrachene,Messaoud et al., 2003b:93093Hameyer, Kay see Henrotte, F., (2003f:78001)Han, Hou-de see Bao, Weizhu, 2003j:74054Han, Weimin see Barboteu,Mikael et al., 2003g:74065Hansbo, Peter (with Larson, Mats G.) Discontinuous Galerkin methods for incom-pressible and nearly incompressible elasticity by Nitsche’s method. (English summary)2003j:74057

Haraldsson, A. seeWriggers, P.

Harrild, David M. see Penland, R. Christian et al.Hartmann, Ralf (with Houston, Paul) Adaptive discontinuous Galerkin finite elementmethods for the compressible Euler equations. (English summary) 2003k:76084

Hayashi, Keisuke (with Onishi, Kazuei) Alternating direction method for the externalHelmholtz equation. (English summary) (see 2003i:65005)

Heitzer, Michael Structural optimization with FEM-based shakedown analyses. (Englishsummary) 2003h:49074

Henriquez, Craig S. see Penland, R. Christian et al.

Henrotte, F. (with Hameyer, Kay) A mathematical framework for the finite elementmodelling of electromechanical problems. (English summary) (see 2003f:78001)

Hetmaniuk, Ulrich (with Farhat, Charbel) A blended fictitious/real domain decompo-sition method for partially axisymmetric exterior Helmholtz problems with Dirichletboundary conditions. (English summary) (see 2003k:65167)

Heuer, Norbert see Gatica, Gabriel N., 2003m:65197Hild, Patrick On finite element uniqueness studies for Coulomb’s frictional contact model.(English summary) 2003h:74055

Hinder, Rainer see Elschner, Johannes et al., 2003e:78015Hiptmair, R. Symmetric coupling for eddy current problems. (English summary)

2003j:78056

(with Neymeyr, Klaus) Multilevelmethod for mixed eigenproblems. (English summary)2003h:65152

see also Borm, Steffen, 2003d:78042and Beck, Rudolf et al., (2003f:65007)Hlavacek, Ivan (with Nedoma, Jirı) On a solution of a generalized semi-coercive contactproblem in thermo-elasticity. (English summary) 2003f:74037see also Nedoma, Jirı, 2003f:74039

Hollig, Klaus (with Reif, Ulrich; Wipper, Joachim) Multigrid methods with web-splines.(English summary) 2003c:65138Finite element methods with B-splines. 2003j:65001

Hoteit, H. (with Erhel, Jocelyne; Mose, R.; Philippe, Bernard; Ackerer, Philippe)Numerical reliability for mixed methods applied to flow problems in porous media.(English summary) 2003h:76091

Houston, Paul see Hartmann, Ralf, 2003k:76084Hsiao, George C. (withMonk, P. B.; Nigam, Nilima) Error analysis of a finite element-integral equation scheme for approximating the time-harmonicMaxwell system. (Englishsummary) 2003j:78057

Hu, Qi Ya (with Yu, De Hao) A preconditioner for coupling system of natural boundaryelement and composite grid finite element. (English summary) 2003a:65112

Hu, Xiancheng see Gu, Jinsheng, (2003f:65005)Huan, Guanren seeChen, Hongsen et al., 2003d:76104Huang, Wen Bin (with Xu, Chuan Ju) A finite-element preconditioning analysis of aspectral element method for the Poisson equation. (Chinese. English and Chinesesummaries)

Huang, Yun Qing (with Xue, Wei Min1) Convergence of finite element approximations andmultilevel linearization for Ginzburg-Landau model of d -wave superconductors. (Englishsummary) 2003m:82103

Huerta, Antonio see Bonet, Javier et al.

Hughes, Thomas J. R. see Engel, Gerald et al., 2003d:74086andMasud, Arif, 2003g:76076Humphries, A. R. see Budd, Chris J., 2003m:35061

Jimack, Peter K. (with Nadeem, Sarfraz A.) A weakly overlapping parallel domaindecomposition preconditioner for the finite element solution of convection-dominatedproblems in three dimensions. (English summary) (see 2003b:76005)see also Bank, Randolph E. et al., 2003f:65047

Jin, Jian Ming Error analysis of a plate eigenvalue problem. (Chinese. English and Chinesesummaries)

John, Volker (with Knobloch, P.; Matthies, G.; Tobiska, L.) Non-nested multi-level solversfor finite element discretisations of mixed problems. (English summary) 2003f:65200


Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations—numerical tests and aspects of the implementation. (Englishsummary) 2003h:76033

Judice, Joaquim J. see Fernandes, Luis M. et al., 2003d:74087Karami, G. (withMalekzadeh, P.) An efficient differential quadrature methodology for freevibration analysis of arbitrary straight-sided quadrilateral thin plates. (English summary)

Kim, Seokchan seeCai, Zhiqiang et al., 2003i:74045Klawonn, Axel (withWidlund, Olof B.; Dryja, Maksymilian) Dual-primal FETI methodswith face constraints. (English summary) (see 2003k:65167)(withWidlund, Olof B.; Dryja, Maksymilian) Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. (English summary)2003g:65044

Klose, Roland see Carstensen, Carsten, 2003h:74069 and Alberty, Jochen et al., 2003m:74101

Kloucek, Petr (withMelara, Luis A.) The computational modelling of branching finestructures in constrained crystals. (English summary) 2003j:74044

Knobloch,P. see John, Volker et al., 2003f:65200Korneev,Vadim G. (with Flaherty, Joseph E.; Oden, T.; Fish, Jacob) hp-version ad-ditive Schwarz algorithms on triangular meshes. (English and Russian summaries)2003k:65165

Kornhuber, Ralf (with Krause, Rolf H.) Adaptive multigrid methods for Signorini’sproblem in linear elasticity. (English summary) 2003h:74073

Krause, Rolf H. (withWohlmuth, Barbara I.) A Dirichlet-Neumann type algorithm forcontact problems with friction. (English summary)see also Kornhuber, Ralf, 2003h:74073

Krysl, Petr (with Grinspun, Eitan; Schroder, Peter) Natural hierarchical refinement forfinite element methods. (English summary)

Kulkarni, Rekha P. (with Gnaneshwar, N.) Spectral approximation using iterated discreteGalerkin method. (English summary) 2003e:65203

Kundu, Tribikram see Desai, ChandrakantS., 2003a:65001Kunert, Gerd Robust a posteriori error estimation for a singularly perturbed reaction-diffusion equation on anisotropic tetrahedralmeshes. (English summary) 2003b:65114

Kuznetsov, Yuriı Alekseevich1 see Achdou,Yves, (2003f:65005)Laborde, Patrick see Slimane, Leila et al., 2003d:49017Larson, Mats G. see Engel, Gerald et al., 2003d:74086 and Hansbo, Peter, 2003j:74057Lasser, Caroline (with Toselli, Andrea) Convergence of some two-level overlappingdomain decomposition preconditioners with smoothed aggregation coarse spaces.(English summary) (see 2003k:65167)

Layton,William J. (with Lee, Hyesuk Kwon; Peterson, Janet S.) A defect-correctionmethod for the incompressible Navier-Stokes equations. (English summary)2003b:74052

A connection between subgrid scale eddy viscosity and mixed methods. (Englishsummary) 2003h:76102

Lazarov, RaytchoD. (with Tomov, Stanimire Z.; Vassilevski, Panayot S.) Interior penaltydiscontinuous approximations of elliptic problems. (English summary) 2003e:65196

Lee, Hyesuk Kwon see Layton, William J. et al., 2003b:74052Lengsfeld,Markus seeMerz, Beat R. et al.Li, Kai Tai (withWang, Li Zhou) Spectral Galerkin approximation of branches ofnonsingular solutions for the Navier-Stokes equations. (Chinese. English summary)2003c:76090see alsoWang, Li Zhou, 2003j:65052

Li, Shaofan (with Simkins, Daniel C., Jr.) Conserving Galerkin weak formulations forcomputational fracturemechanics. (English summary) 2003m:74102

Li, Zi Cai Domain decomposition methods to penalty combinations for singularityproblem. (English summary) (see 2003f:65005)

Liang, Guo Ping see Duan, Huo Yuan, 2003c:74092Liberman, Elsa A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate. (English summary) 2003c:74094

Lipnikov, Konstantin see Berndt,M. et al., 2003a:65085Liu, Gui-Rong seeWang, Jian Guo, 2003c:65002Liu, Wen Bin1 Recent advances in mesh adaptivity for optimal control problems. (Englishsummary) 2003h:49053

(withMa, He-ping; Tang, Tao) On mixed error estimates for elliptic obstacle problems.(English summary) 2003a:65089

(with Yan, Ningning) A posteriori error estimates for distributed convex optimal controlproblems. (English summary) 2003a:49041

Liu, Wing Kam see Belytschko, Ted et al., 2003a:74052Lovısek, Jan (with Dicky, Jozef) Reliable solution of an elastic pseudoplate problem withuncertain data. (English summary) 2003j:74049

Lu, Jing2 see Lu, Tao, 2003b:65133Lu, Tao (with Lu, Jing2) Splitting extrapolation for solving second order elliptic systemswith curved boundary in Rd by using d -quadratic isoparametric finite element. (Englishsummary) 2003b:65133

Ludwig, M. J. (with Shaw, Simon; Whiteman, J. R.) Adaptive numerical solution of thickplates using first-order shear deformation theory. I. Error estimates. (English summary)2003m:74079

(with Shaw, Simon; Whiteman, J. R.) Adaptive numerical solution of thick plates usingfirst-order shear deformation theory. II. Adaptivity. (English summary) 2003m:74080

Lui, S. H. On Schwarz alternating methods for the subsonic full potential equation.(English summary) 2003c:76075

Luo, Zhen Dong (with Zhu, Jiang3) A nonlinear Galerkin mixed element method and aposteriori error estimator for the stationary Navier-Stokes equations. (Chinese. Englishand Chinese summaries) 2003k:76085

(with Zhu, Jiang3) Convergence of simplified and stabilized mixed element formatsbased on bubble function for the Stokes problem. (Chinese. English and Chinesesummaries) 2003k:76086

Luskin, Mitchell Computational modeling of microstructure. (English summary)2003k:49033

Lyche, Tom (with Nilssen, Trygve K.; Winther, Ragnar) Preconditioned iterativemethodsfor scattered data interpolation. (English summary) 2003h:65039

Lyly, Mikko (with Stenberg, Rolf) A survey of stabilized plate elements. (English

summary) 2003c:74095

Ma, He-ping see Liu, Wen Bin1 et al., 2003a:65089Ma, Yi Chen see Ren, Chun Feng, 2003h:76095Macıas Sanchez, Jorge see Pares, Carlos et al., 2003g:49011

Maday, Yvon (with Rapetti, Francesca; Wohlmuth, Barbara I.) Coupling between scalarand vector potentials by the mortar element method. (English and French summaries)2003d:78041

see also Ben Belgacem, Faker et al., 2003i:78019Malekzadeh, P. see Karami, G.

Malengier, B. (with Van Keer, Roger) An analysis of groundwater flow in a finite regionwith a sinusoidal top. (English summary) 2003f:76096

Mardal, Kent Andre (with Tai, Xue-Cheng; Winther, Ragnar) A robust finite elementmethod for Darcy-Stokes flow. (English summary) 2003m:76110

Marotti de Sciarra, Francesco Relations between enhanced strain methods and the HRmethod. (English summary) 2003e:74058

Masud, Arif (with Hughes, Thomas J. R.) A stabilized mixed finite element method forDarcy flow. (English summary) 2003g:76076

Matthies, G. see John, Volker et al., 2003f:65200Mazzei, L. see Engel, Gerald et al., 2003d:74086Mehdizadeh,Omid Z. (with Paraschivoiu,Marius) Investigation of a two-dimensionalspectral element method for Helmholtz’s equation. (English summary)

Melara, Luis A. see Kloucek, Petr, 2003j:74044Merz, Beat R. (withMuller, Ralph; Lengsfeld, Markus) Automated three dimensionalfinite element modeling techniques of bone and bone implant systems.


see also Feng,Min-fu et al., 2003i:74047Mishev, Ilya D. Nonconforming finite volume methods. (English summary)Monk, P. B. seeHsiao, George C. et al., 2003j:78057 and Perugia, I. et al., 2003j:78058Moran, Brian see Belytschko, Ted et al., 2003a:74052Mose, R. see Hoteit, H. et al., 2003h:76091Moulton, J. David see Berndt,M. et al., 2003a:65085

Mroz, Monika Domain decomposition methods with strip substructures. (Englishsummary) (see 2003f:65005)

Muller, Ralph seeMerz, Beat R. et al.

Muzalevsky, A. V. (with Repin, S. I.) On two-sided error estimates for approximatesolutions of problems in the linear theory of elasticity. (English summary) 2003m:74041

Nachaoui, Abdeljalil see Chakib, Abdelkrim et al., 2003a:49053Nadeem, Sarfraz A. see Bank, Randolph E. et al., 2003f:65047 and Jimack, Peter K.,(2003b:76005)

Nakanishi, Kenji2 see Guo, Yong-Ming et al.

Nataraj, Neela see Bhattacharyya, Pulin Kumar, 2003c:74089Nedoma, Jirı (with Hlavacek, Ivan) Solution of a semi-coercive contact problem in a non-linear thermo-elastic rheology. (English summary) 2003f:74039

see also Hlavacek, Ivan, 2003f:74037Nepomnyashchikh,Sergeı V. see Bank, RandolphE. et al., 2003f:65047Neymeyr, Klaus see Hiptmair, R., 2003h:65152Neytcheva, M. see Axelsson, Owe et al., 2003c:65155Nigam, Nilima see Hsiao, George C. et al., 2003j:78057Nilssen, Trygve K. see Lyche, Tom et al., 2003h:65039Nochetto, Ricardo H. see Dorfler, Willi, 2003e:65195Oden, J. Tinsley see Deb, Manas K. et al., 2003g:65009

Oden, T. see Korneev, Vadim G. et al., 2003k:65165Ol′shanskiı, M. A. A low order Galerkin finite element method for the Navier-Stokesequations of steady incompressible flow: a stabilization issue and iterativemethods.(English summary) 2003j:76076

Onate, E. see Tschope, H. et al., 2003i:74022

Onishi, Kazuei seeHayashi, Keisuke, (2003i:65005)Osborn, John E. see Babuska, Ivo M. et al., 2003i:65062Ouazzi, Abderrahim see Turek, Stefan et al., 2003j:65130Owens, Robert G. see Bernardi, Christine et al., 2003g:65135Paraschivoiu,Marius see Choi, Hae-Won, 2003h:65149 andMehdizadeh,Omid Z.

Pares, Carlos (with Castro-Dıaz,Manuel Jesus; Macıas Sanchez, Jorge) On the conver-gence of the Bermudez-Moreno algorithm with constant parameters. (English summary)2003g:49011

Pascal, Frederic (with Ghidaglia, Jean-Michel) Footbridge between finite volumes andfinite elements with applications to CFD. (English summary) 2003g:65133

Pasciak, Joseph E. (with Zhao, J.) Overlapping Schwarz methods inH (curl) on polyhedraldomains. (English summary) 2003j:65108

see also Gopalakrishnan, Jayadeep,2003i:78020Pavarino, Luca F. see Goldfeld, Paulo et al., (2003k:65167)Peiro, J. (with Giordana, S.; Griffith, C.; Sherwin, S. J.) High-order algorithms forvascular flow modelling. (English summary) 2003g:76082

Pencheva, Gergina (with Yotov, Ivan) Balancing domain decomposition for porous mediaflow in multiblock domains. 2003e:65233

Penland, R. Christian (with Harrild, David M.; Henriquez, Craig S.) Modeling impulsepropagation and extracellular potential distributions in anisotropic cardiac tissue usinga finite volume element discretization. (English summary)

Peraire, J. see Bonet, Javier et al.

Perrier, Valerie see Bertoluzza, Silvia et al., (2003k:65167)Perugia, I. (with Schotzau, Dominik; Monk, P. B.) Stabilized interior penalty methods forthe time-harmonicMaxwell equations. (English summary) 2003j:78058

Peszynska, Małgorzata (withWheeler, Mary Fanett; Yotov, Ivan) Mortar upscaling formultiphase flow in porous media. (English summary) 2003f:76077

Peterson, Janet S. see Layton,William J. et al., 2003b:74052Petersson, Joakim see Borrvall, Thomas, 2003j:76042Philippe, Bernard see Hoteit, H. et al., 2003h:76091Plechac, Petr see Carstensen, Carsten, 2003c:74071Polman, B. seeAxelsson, Owe et al., 2003c:65155


Popescu, V. A. Combination of the variational and finite element methods for the D-dimensional generalized anharmonic oscillator. (English summary) 2003d:81062

Proot, M. M. J. (with Gerrtisma, M. I.) Least-squares spectral elements applied to theStokes problem. (English summary) 2003g:76083

Racheva,Milena R. see Andreev, A. B., 2003a:65095Ramage, Alison see Elman, Howard C., 2003g:76074Rapetti, Francesca seeMaday, Yvon et al., 2003d:78041Rashed, Youssef F. Dual reciprocity formulation for elasticity problems using compactsupported radial basis functions. (English summary) (see 2003i:65005)

Rathod,H. T. (with Shajedul Karim, Md.) An explicit integration scheme based onrecursion for the curved triangular finite elements. (English summary) 2003b:65022


Reese, Stefanie On the equivalence of mixed element formulations and the concept ofreduced integration in large deformation problems. (English summary) 2003b:74067

Reif, Ulrich see Hollig, Klaus et al., 2003c:65138Reitzinger, Stefan (with Schoberl, Joachim) An algebraic multigrid method for finiteelement discretizations with edge elements. (English summary) 2003f:78033

Ren, Chun Feng (withMa, Yi Chen) Two-grid error estimates for the stream function formof Navier-Stokes equations. (Chinese. English and Chinese summaries) 2003h:76095

(withMa, Yi Chen) A two-grid technique for the penalty method of the steady Navier-Stokes equations. (English summary)

Repin, S. I. seeMuzalevsky, A. V., 2003m:74041

Sacco, Riccardo see Causin, Paola, 2003m:76105

Salaun,Michel see Abboud, Toufic et al., 2003a:76041 and Dubois, Francois et al.,2003h:76088

Salmon, Stephanie see Abboud, Toufic et al., 2003a:76041 and Dubois, Francois et al.,2003h:76088

Sandig,Anna-Margarete see Apel, Thomas et al., 2003k:74024Sandri, D. On a FEM method for a linearized version of the Oldroyd’s problem. (Englishsummary) 2003i:76065

Saranen, Jukka (with Vainikko, Gennadi) Periodic integral and pseudodifferentialequations with numerical approximation. (English summary) 2003h:47088

Sassi, Taoufik see Baillet, Laurent, 2003h:74068Schieweck, Friedhelm A posteriori error estimates with post-processing for nonconformingfinite elements. (English summary) 2003k:65137

Schmachtel,R. see Turek, Stefan et al., 2003j:65130Schmidt, Gunther see Elschner, Johannes et al., 2003e:78015Schnack,E. see Dimitrov, A., 2003i:74020Schoberl, Joachim see Reitzinger, Stefan,2003f:78033Schotzau,Dominik see Perugia, I. et al., 2003j:78058Schroder, Peter see Krysl, Petr et al.

Scott,L. Ridgway see Girault, Vivette, 2003e:65012Segal, August see Vuik, C. et al., 2003e:65052ShajedulKarim, Md. see Rathod,H. T., 2003b:65022Shashkov,M. Yu. see Berndt, M. et al., 2003a:65085Shaw, Simon see Ludwig, M. J. et al., 2003m:74079and 2003m:74080Shen, Shengping see Atluri, Satya N., 2003a:65114Sherwin, S. J. see Peiro, J. et al., 2003g:76082Shi, Zhong Ci seeMing, Ping-bing, 2003h:65169Simkins, Daniel C., Jr. see Li, Shaofan,2003m:74102

Slimane, Leila (with Bendali, Abderrahmane; Laborde, Patrick) Mixed formulations for aclass of variational inequalities. (English and French summaries) 2003d:49017

Sofonea,Mircea see FernandezGarcıa, Jose Ramon et al., 2003b:74053 and Barboteu,Mikael et al., 2003g:74065

Solov′ev, S. I. see Apel, Thomas et al., 2003k:74024Song, Shi Cang (with Chen, Shao Chun; Sun, Hui Xia) Some estimates for linearinterpolation with application to the finite element method. (Chinese. English andChinese summaries)

Sopasakis,Alexandros see Asadzadeh,Mohammad, 2003k:82097Stefanica, Dan A numerical study of FETI algorithms for mortar finite element methods.(English summary) 2003e:65201

Stenberg,Rolf see Lyly, Mikko, 2003c:74095Stephan,Ernst P. see Gatica, Gabriel N. et al., 2003k:74059Stevenson,Rob An analysis of nonconforming multi-grid methods, leading to an improvedmethod for the Morley element. (English summary) 2003i:65127

Stewart, Dawn L. Numerical methods for accurate computation of design sensitivities fortwo-dimensional Navier-Stokes problems. (English summary) 2003d:76057

Strouboulis, T. see Zhang, Lin et al., 2003a:65091 and 2003e:65197Sun,Hui Xia see Song, Shi Cang et al.

Sun, Le Lin see Chen, Jian Ye et al.(Symes, William W.) see Gockenbach,Mark S., 2003m:35001

Tai, Xue-Cheng seeMardal, Kent Andre et al., 2003m:76110Tang, Li (with Zou, Jie Zhong; Zhu, Qi Ding) Probabilistic methods for numericalsolutions of Dirichlet-Poisson problems over ordinary domains. (Chinese. English andChinese summaries) 2003m:60235

Tang, Tao see Liu, Wen Bin1 et al., 2003a:65089Tanguy, Philippe A. see Bertrand, Francois, 2003g:76072Taylor, Robert Leroy see Engel, Gerald et al., 2003d:74086Tenek, L. Teneketzis (with Aifantis, Elias C.) A two-dimensional finite element implemen-tation of a special form of gradient elasticity. (English summary)

Tillequin, A. see Bonnet-Bendhia,Anne-Sophie,2003e:76072Tobiska, L. see John, Volker et al., 2003f:65200Tomov, Stanimire Z. see Lazarov, RaytchoD. et al., 2003e:65196Toselli, Andrea see Lasser, Caroline, (2003k:65167)Tschope,H. (with Onate, E.; Wriggers, P.) Direct computation of instability points withinequality constraints using the finite element method. 2003i:74022

Turek, Stefan (with Ouazzi, Abderrahim; Schmachtel, R.) Multigrid methods forstabilized nonconforming finite elements for incompressible flow involving thedeformation tensor formulation. (English summary) 2003j:65130


Vainikko, Gennadi see Saranen, Jukka, 2003h:47088Valentin, Frederic see Barrenechea, Gabriel R., 2003i:76063Van Keer, Roger seeMalengier, B., 2003f:76096Vardapetyan, L. (with Demkowicz, L.) Full-wave analysis of dielectric waveguides at agiven frequency. (English summary) 2003k:78032

Vasilevskiı, Yu. V. see Chugunov, V. A.

Vassilevski, Panayot S. see Lazarov, RaytchoD. et al., 2003e:65196Viano Rey, Juan M. see FernandezGarcıa, Jose Ramon et al., 2003b:74053Vuik, C. (with Segal, August; el Yaakoubi, L.; Dufour, E.) A comparison of variousdeflation vectors applied to elliptic problems with discontinuous coefficients. (Englishsummary) 2003e:65052

Wang, Jian Guo (with Liu, Gui-Rong) On the optimal shape parameters of radial basisfunctions used for 2-D meshless methods. (English summary) 2003c:65002

Wang, Li Zhou (with Li, Kai Tai) One step Newton-iterations of the extended system forthe nondegenerate turning point of the Navier-Stokes equations. (Chinese. English andChinese summaries) 2003j:65052

see also Li, Kai Tai, 2003c:76090Wang, Xiaoshen (with Ye, Xiu) Superconvergence analysis for the Navier-Stokes equations.(English summary) 2003d:76109

Wang, Zhongxiao see Chen, Hongsen et al., 2003d:76104Weigang, Zhang see Yaqun, Zhu et al.

Wheeler, Mary Fanett see Peszynska,Małgorzata et al., 2003f:76077Whiteman, J. R. see Ludwig, M. J. et al., 2003m:74079 and 2003m:74080

Widlund,Olof B. see Klawonn, Axel et al., 2003g:65044; (2003k:65167) and Goldfeld, Pauloet al., (2003k:65167)

Winther, Ragnar see Lyche, Tom et al., 2003h:65039 andMardal, Kent Andre et al.,2003m:76110

Wipper, Joachim see Hollig, Klaus et al., 2003c:65138Wohlmuth, Barbara I. seeMaday, Yvon et al., 2003d:78041;Beck, Rudolf et al.,(2003f:65007)and Krause, Rolf H.

Woo, Gyungsoo see Cai, Zhiqiang et al., 2003i:74045Wriggers, P. (with Haraldsson, A.) A simple formulation for two-dimensional contactproblems using a moving friction cone. (English summary)see also Tschope,H. et al., 2003i:74022

Xie, Xiao Ping3 see Zhou, Tian-xiao, 2003h:74026Xu, Chuan Ju see Huang,Wen Bin

Xu, Di-hong see Chen, Jian Ye et al.Xue, Wei Min1 see Huang, Yun Qing, 2003m:82103

el Yaakoubi, L. see Vuik, C. et al., 2003e:65052Yan, Ningning A posteriori error estimators of gradient recovery type for elliptic obstacleproblems. (English summary) 2003a:65090

see also Liu, Wen Bin1, 2003a:49041Yang, Daoqi Iterative schemes for mixed finite element methods with applications toelasticity and compressible flow problems. (English summary) 2003j:65109

Yang, Min1 see Zhang, Lei

Yang, Rong-kui see Feng,Min-fu et al., 2003i:74047Yang, Suh-Yuh Analysis of least-squares approximations to second-order elliptic problems.I. Finite element method. (English summary) 2003f:65180

Yaqun, Zhu (with Zhongqin, Lin; Weigang, Zhang) A quadrilateral thin shell elementbased on area co-ordinate for explicit dynamic analysis. (English summary)

Ye, Xiu Superconvergence of nonconforming finite element method for the Stokesequations. (English summary) 2003c:65109

see alsoWang, Xiaoshen, 2003d:76109Yokouchi, Yasuto see Guo, Yong-Ming et al.

Yotov, Ivan see Pencheva, Gergina, 2003e:65233 and Peszynska, Małgorzata et al.,2003f:76077

Yu, De Hao see Hu, Qi Ya, 2003a:65112Zhang, Lei (with Yang, Min1) A V -cyclemultigrid method for the mortar element methodfor P1 nonconforming element. (Chinese. English and Chinese summaries)

Zhang, Lin (with Strouboulis, T.; Babuska, Ivo M.) A posteriori estimators for the FEM:analysis of the robustness of the estimators for the Poisson equation. (English summary)2003a:65091(with Strouboulis, T.; Babuska, Ivo M.) B%-superconvergenceof finite element solutionsand error estimators. (English summary) 2003e:65197

Zhang, Zhimin A posteriori error estimates on irregular grids based on gradient recovery.(English summary) 2003a:65092

Zhao, J. see Pasciak, Joseph E., 2003j:65108Zhongqin, Lin see Yaqun, Zhu et al.

Zhou, Aihui A multi-parameter parallel algorithm for local higher accuracy approximation.(see 2003f:65005)

Zhou, Tian-xiao (with Xie, Xiao Ping3) A unified analysis for stress/strain hybrid methodsof high performance. (English summary) 2003h:74026

Zhu, Jiang3 see Luo, Zhen Dong, 2003k:76085 and 2003k:76086

Zhu, Qi Ding see Tang, Li et al., 2003m:60235

Zine, A. M. see Farhloul,M., 2003h:76089 and 2003k:76083

Zou, Jie Zhong see Tang, Li et al., 2003m:60235

65N35 Spectral, collocation and related methods

Abd-Elhameed,Waleed M. see Doha, Eid H., 2003k:65156Aliyev, A. Y. (withMamedov, Y. C.) Effective truncation error of discrete Fourier methodfor nonlocal Dirichlet problem. (English and Azerbaijani summaries)

Baye, D. (with Hesse, Michel; Vincke, M.) The unexplained accuracy of the Lagrange-mesh method. (English summary) 2003c:65129

Bernardi, Christine (withMaday, Yvon) Spectral element discretizations of the Poissonequation with mixed boundary conditions. (English and Georgian summaries)2003d:65113


(with Chorfi, Nejmeddine) Mortar spectral element methods for elliptic equations withdiscontinuous coefficients. (English summary) 2003c:65130

Chen, Ching Shyang (with Kuhn, Gunther; Li, Ji Chun; Mishuris, G.) Radial basisfunctions for solving near singular Poisson problems. (English summary)

Chorfi, Nejmeddine see Bernardi, Christine, 2003c:65130Doha, Eid H. (with Abd-Elhameed, WaleedM.) Efficient spectral-Galerkin algorithmsfor direct solution of second-order equations using ultraspherical polynomials. (Englishsummary) 2003k:65156

Elbarbary, Elsayed M. E. M. Legendre expansion method for the solution of the second-and fourth-order elliptic equations. (English summary) 2003c:65131

Fasshauer, Gregory E. Nonsymmetric multilevel RBF collocation within an operatorNewton framework for nonlinear PDEs. (English summary) 2003i:65119

Fedotov,A. I. On the asymptotic convergence of the polynomial collocation method forsingular integral equations and periodic pseudodifferential equations. (English summary)2003d:65114

Gallagher, Isabelle Mathematical analysis of a structure-preserving approximation of thebidimensional vorticity equation. (English summary) 2003e:65230

Golberg, M. A. see Li, Xin7, (2003i:65005)Hesse, Michel see Baye, D. et al., 2003c:65129Hon, Yiu-Chung (with Schaback, Robert; Zhou, Xu) An adaptive greedy algorithm forsolving large RBF collocation problems. (English summary) 2003k:65157

see also Zhou, Xu et al., 2003m:65217Huang,Wen Bin (with Xu, Chuan Ju) A finite-element preconditioning analysis of aspectral element method for the Poisson equation. (Chinese. English and Chinesesummaries)

Imai, Hitoshi (with Takeuchi, Toshiki) Some advanced applications of the spectralcollocation method. (English summary) (see 2003f:00022)

Ke, Yun Quan Spline solution of self-conjugate elliptic equations. (Chinese. English andChinese summaries)

Kim, SangDong (with Shin, Byeong Chun) PreconditioningC 1 Lagrange polynomialspline collocation method of elliptic equations by finite element method. (Englishsummary) 2003g:65149

Kuhn, Gunther see Chen, Ching Shyang et al.

Li, He Long (with Yi, Xu Ming) Wavelets-gear solution of two-dimensional stiff boundaryproblems. (Chinese. English and Chinese summaries)

Li, Ji Chun see Zhou, Xu et al., 2003m:65217 and Chen, Ching Shyang et al.

Li, Xin7 (with Golberg, M. A.) On methods for solving the Dirichlet problem for Poisson’sequation. (English summary) (see 2003i:65005)

Maday, Yvon see Bernardi, Christine, 2003d:65113Mamedov, Y. C. see Aliyev, A. Y.

Mehdizadeh,Omid Z. (with Paraschivoiu,Marius) Investigation of a two-dimensionalspectral element method for Helmholtz’s equation. (English summary)

Mishuris, G. see Chen, Ching Shyang et al.

Morton, TanyaM. Improved error bounds for solving pseudodifferential equations onspheres by collocation with zonal kernels. (English summary) 2003k:65158

Paraschivoiu,Marius seeMehdizadeh,Omid Z.Pinder, G. F. seeWu, Li1, 2003f:65196Rashed, Youssef F. Dual reciprocity formulation for elasticity problems using compactsupported radial basis functions. (English summary) (see 2003i:65005)

Ringhofer, Christian A mixed spectral-differencemethod for the steady state Boltzmann-Poisson system. (English summary) 2003m:65216

Sayas, Francisco Javier Neumann data from Dirichlet data in Laplace’s equation: anumerical algorithm. (English summary) 2003b:65126

Schaback,Robert see Hon, Yiu-Chung et al., 2003k:65157Shin, Byeong Chun see Kim, Sang Dong, 2003g:65149Sloan, Ian H. Qualocation. (English summary) 2003b:65127

Takeuchi, Toshiki see Imai, Hitoshi, (2003f:00022)Vincke,M. see Baye, D. et al., 2003c:65129Wang, Jian Zhong2 Spline wavelets in numerical resolution of partial differential equations.(English summary) 2003d:65115

Wu, Li1 (with Pinder, G. F.) Single-degree freedom collocation method using Hermitepolynomials. (English summary) 2003f:65196

Xu, Chuan Ju see Huang,Wen Bin

Yi, Xu Ming see Li, He Long

Zhou, Xu (with Hon, Yiu-Chung; Li, Ji Chun) Overlapping domain decompositionmethod by radial basis functions. (English summary) 2003m:65217

see also Hon, Yiu-Chung et al., 2003k:65157

Items with secondary classifications in 65N35Al-Kholi, F. M. R. see Doha, Eid H., 2003b:35011Chen,Wensheng (with Lin, Wei1) Trigonometric Hermite wavelet and natural integralequations for Stokes problem. (English summary) 2003b:65128

Doha, Eid H. (with Al-Kholi, F. M. R.) An efficient double Legendre spectral method forparabolic and elliptic partial differential equations. (English summary) 2003b:35011

Dutt, Pravir (with Tomar, Satyendra; Rathish Kumar, B. V.) Stability estimates for h-pspectral element methods for elliptic problems. (English summary) 2003k:65147

Elbarbary, Elsayed M. E. M. see Khalifa, Ahmed K. et al., 2003i:35032El-Hawary, H. M. Double ultraspherical solution of eigenvalue problems for partialdifferential equations. (English summary) 2003f:65185

Elrazek, Mohamed A. Abd seeKhalifa, Ahmed K. et al., 2003i:35032Gerrtisma, M. I. see Proot, M. M. J., 2003g:76083Giordana, S. see Peiro, J. et al., 2003g:76082Griffith, C. see Peiro, J. et al., 2003g:76082Khalifa, Ahmed K. (with Elbarbary, Elsayed M. E. M.; Elrazek, Mohamed A. Abd)Chebyshev expansion method for solving second and fourth-order elliptic equations.(English summary) 2003i:35032

Lai, Ming-Chih (with Lin, Wen-Wei; Wang, Weichung) A fast spectral/differencemethod without pole conditions for Poisson-type equations in cylindrical and sphericalgeometries. (English summary) 2003j:65100

Li, Kai Tai (withWang, Li Zhou) Spectral Galerkin approximation of branches of

nonsingular solutions for the Navier-Stokes equations. (Chinese. English summary)2003c:76090

see alsoWang, Li Zhou, 2003j:65052Lin, Wei1 see Chen, Wensheng, 2003b:65128Lin, Wen-Wei see Lai, Ming-Chih et al., 2003j:65100Maday, Yvon (with Rønquist, Einar M.) A reduced-basis element method. (Englishsummary) 2003e:65224

Marquez Gentil, Antonio seeMeddahi, Salim, 2003m:65209

Meddahi, Salim (withMarquez Gentil, Antonio) A combination of spectral and finiteelements for an exterior problem in the plane. (English summary) 2003m:65209

Naghsh-Nilchi, Ahmad Reza see Stenger, Frank et al., 2003m:35013Niebsch, Jenny see Stenger, Frank et al., 2003m:35013

Peiro, J. (with Giordana, S.; Griffith, C.; Sherwin, S. J.) High-order algorithms forvascular flow modelling. (English summary) 2003g:76082

Peyret, Roger Spectral methods for incompressible viscous flow. (English summary)2003d:65002

Proot, M. M. J. (with Gerrtisma, M. I.) Least-squares spectral elements applied to theStokes problem. (English summary) 2003g:76083

Ramlau, Ronny see Stenger, Frank et al., 2003m:35013Rathish Kumar, B. V. see Dutt, Pravir et al., 2003k:65147Rønquist, Einar M. seeMaday, Yvon, 2003e:65224Saranen, Jukka (with Vainikko, Gennadi) Periodic integral and pseudodifferentialequations with numerical approximation. (English summary) 2003h:47088

Sherwin, S. J. see Peiro, J. et al., 2003g:76082Stenger, Frank (with Naghsh-Nilchi, Ahmad Reza; Niebsch, Jenny; Ramlau, Ronny)Sampling methods for approximate solution of PDE. (English summary) 2003m:35013

Tomar, Satyendra see Dutt, Pravir et al., 2003k:65147Vainikko, Gennadi see Saranen, Jukka, 2003h:47088Wang, Li Zhou (with Li, Kai Tai) One step Newton-iterations of the extended system forthe nondegenerate turning point of the Navier-Stokes equations. (Chinese. English andChinese summaries) 2003j:65052

see also Li, Kai Tai, 2003c:76090Wang, Weichung see Lai, Ming-Chih et al., 2003j:65100

65N38 Boundary element methods

Abe, Kazuhisa (with Koro, Kazuhiro) Gauss quadrature method using wavelet basis as aweighting function for boundary element analysis. (English summary) (see 2003e:65002)see also Koro, Kazuhiro, (2003e:65002)

Ademoyero, Ore (with Bartholomew-Biggs, Michael; Davies, Alan J.) Linear solvers forthe Galerkin boundary element method. (see 2003a:00028)

Aimi, A. (with Diligenti, M.) Numerical integration in 3D Galerkin BEM solution ofHBIEs. (English summary) 2003c:65132

(with Diligenti, M.; Lunardini, F.; Salvadori, Alberto) A new application of the panelclustering method for 3D SGBEM. (English summary)

Ang, Whye-Teong A note on the CVBEM for the two-dimensional Helmholtz equation orits modified form. (English summary)

Bartholomew-Biggs, Michael see Ademoyero, Ore et al., (2003a:00028)Buffa, A. (with Costabel, Martin; Schwab, Christoph) Boundary element methods forMaxwell’s equations on non-smooth domains. (English summary) 2003k:65159

Calvo Calzada, Elena (with Gracia, Luis) Non-nodal collocation strategies in theboundary element method applied to two-dimensional elasticity.(Spanish. English andSpanish summaries)

Carini, A. (with Salvadori, Alberto) Analytical integrations in 3D BEM: preliminaries.(English summary) 2003c:65133

Chan, Cho Lik Boundary element methods for biological systems.Chejne, F. see Florez, W. F. et al., 2003e:65231a; 2003e:65231b and Addenda: “Numerical

solution of thermal convection problems using the multidomain boundary element method”,2003e:65231b

Chen, Haibo (with Schnack, E.) A simple error indicator and adaptive algorithm for 2Delastic BEM. (English summary) (see 2003e:65002)

Chen, Ke1 Solution of singular boundary element equations based on domain splitting.(see 2003f:65005)

Chen, Wensheng (with Lin, Wei1) Trigonometric Hermite wavelet and natural integralequations for Stokes problem. (English summary) 2003b:65128

Cimetiere, A. see Delvare, F. et al., 2003c:65134Costabel, Martin see Buffa, A. et al., 2003k:65159Davies, Alan J. Domain decomposition approaches to the boundary element method.(English summary) (see 2003e:65002)see also Ademoyero,Ore et al., (2003a:00028)

Delvare, F. (with Cimetiere, A.; Pons, Frederic) An iterativeboundary element method forCauchy inverse problems. (English summary) 2003c:65134

Didenko, V. D. (with Silbermann, Bernd) Spline approximation methods for thebiharmonic Dirichlet problem on non-smooth domains. (English summary) 2003j:65122

Diligenti, M. see Aimi, A. et al., 2003c:65132Dong, Zheng Zhu see Li, Shun Cai et al., 2003j:65123Duddeck, Fabian M. E. (with Geisenhofer, M.) A generalization of BEM by Fouriertransform. (English summary) 2003c:65135

Elliott, David see Johnston, Peter R., 2003g:65151Elliott, Lionel seeMarin, Liviu et al., 2003m:65218

Faermann, Birgit Localization of the Aronszajn-Slobodeckij norm and application toadaptive boundary element methods. II. The three-dimensional case. (English summary)2003i:65120

Feng, Yang-De (withWang, Yue-Sheng; Zhang, Zi-Mao) Transient scattering of SH wavesfrom an inclusion with a unilateral frictional interface—a 2D time domain boundaryelement analysis. (English summary)

Fisher, Timothy S. see Jorge, Ariosto B. et al.

Florez, W. F. Nonlinear flow using dual reciprocity. (English summary) 2003g:65150

(with Power, H.; Chejne, F.) Numerical solution of thermal convection problems usingthe multidomain boundary element method. (English summary) 2003e:65231a


see also Addenda: “Numerical solution of thermal convection problems using themultidomain boundary element method”, 2003e:65231b

Geisenhofer,M. see Duddeck, FabianM. E., 2003c:65135Gracia, Luis see Calvo Calzada, Elena

Gu, Y. T. see Liu, Gui-Rong, (2003i:65005)Hayashi, Keisuke (with Onishi, Kazuei) Alternating direction method for the externalHelmholtz equation. (English summary) (see 2003i:65005)

Heggs, P. J. seeMarin, Liviu et al., 2003m:65218

Heuer, Norbert (withMellado, M. E.; Stephan, Ernst P.) hp-adaptive two-levelmethodsfor boundary integral equations on curves. (English summary) 2003c:65136

An hp-adaptive refinement strategy for hypersingular operators on surfaces. (Englishsummary) 2003b:65129

Hochmuth, Reinhard A localized boundary element method for the floating body problem.(English summary) 2003b:65130

Hromadka, T. V., II Amulti-dimensional complex variable boundary element method.(English summary) 2003i:65121

Hu, Qi Ya (with Yu, De Hao) A preconditioner for coupling system of natural boundaryelement and composite grid finite element. (English summary) 2003a:65112

Ikeda, Youichi see Kita, Eisuke et al.

Ingham,Derek B. The solution of the two-dimensional Stokes equations. (Englishsummary) (see 2003i:65005)see alsoMarin, Liviu et al., 2003m:65218

Jia, Zu Peng see Yu, De Hao, 2003j:65124Johnston,Peter R. (with Elliott, David) Transformations for evaluating singular boundaryelement integrals. (English summary) 2003g:65151

Jorge, Ariosto B. (with Ribeiro, Gabriel O.; Fisher, Timothy S.) New approaches forerror estimation and adaptivity for 2D potential boundary element methods. (Englishsummary)

Kamiya, Norio see Kita, Eisuke et al.

Kita, Eisuke (with Ikeda, Youichi; Kamiya, Norio) Solution of non-linear Poissonequation by Trefftz method. (Japanese. English and Japanese summaries)

Koro, Kazuhiro (with Abe, Kazuhisa) Determination of optimal threshold for matrixcompression in wavelet BEM. (English summary) (see 2003e:65002)see also Abe, Kazuhisa, (2003e:65002)

Lesnic, D. seeMarin, Liviu et al., 2003m:65218

Li, Shun Cai (with Dong, Zheng Zhu; Xie, Wei Hong) Application of natural boundaryelement mehtod to the bending problem of the elastic thin circular plate. (Chinese.English and Chinese summaries) 2003j:65123

Lin, Wei1 see Chen, Wensheng, 2003b:65128Liu, Gui-Rong (with Gu, Y. T.) Boundary meshfree methods based on the boundary pointinterpolation methods. (English summary) (see 2003i:65005)

Lunardini, F. see Aimi, A. et al.

Marin, Liviu (with Elliott, Lionel; Heggs, P. J.; Ingham, Derek B.; Lesnic, D.; Wen, XianYun) An alternating iterative algorithm for the Cauchy problem associated to theHelmholtz equation. (English summary) 2003m:65218

Mellado,M. E. see Heuer, Norbert et al., 2003c:65136

Onishi, Kazuei see Hayashi, Keisuke, (2003i:65005)Petrila, Titus Complex value boundary elements methods (CVBEM) for some mixed BVP.(English summary) 2003f:65197

Pons, Frederic see Delvare, F. et al., 2003c:65134Power, H. see Florez, W. F. et al., 2003e:65231a; 2003e:65231b and Addenda: “Numerical

solution of thermal convection problems using the multidomain boundary element method”,2003e:65231b

Reidinger, B. (with Steinbach, Olaf) A symmetric boundary element method for the Stokesproblem in multiple connected domains. (English summary) 2003m:65219

Ribeiro, Gabriel O. see Jorge, Ariosto B. et al.

Salvadori, Alberto see Carini, A., 2003c:65133 and Aimi, A. et al.

Schmidlin, Gregor (with Schwab, Christoph) WaveletGalerkin BEM on unstructuredmeshes by aggregation. (English summary) (see 2003d:65004)

Schnack,E. see Chen, Haibo, (2003e:65002) andWestphal, T., Jr., (2003i:65005)Schwab, Christoph see Buffa, A. et al., 2003k:65159 and Schmidlin, Gregor, (2003d:65004)Silbermann, Bernd see Didenko, V. D., 2003j:65122Steinbach,Olaf see Reidinger, B., 2003m:65219

Stephan,Ernst P. see Heuer, Norbert et al., 2003c:65136Tausch, Johannes Multiwavelets for geometrically complicated domains and theirapplication to boundary element methods. 2003f:65198

Wang, Yue-Sheng see Feng, Yang-De et al.

Wen, Xian Yun seeMarin, Liviu et al., 2003m:65218

Westphal, T., Jr. (with Schnack, E.) Hierarchical plate modelling by boundary elements.(English summary) (see 2003i:65005)

Xie, Wei Hong see Li, Shun Cai et al., 2003j:65123Yu,De Hao (with Jia, Zu Peng) Natural integral operator on elliptic boundaries and acoupling method for an anisotropic problem. (Chinese. English summary) 2003j:65124

see also Hu, Qi Ya, 2003a:65112Zhang, Zi-Mao see Feng, Yang-De et al.


Addenda:

“Numerical solution of thermal convection problems using the multidomain boundaryelement method” Addendum to: “Numerical solution of thermal convection problemsusing the multidomain boundary element method” by W. F. Florez, H. Power and F.Chejne. 2003e:65231b



Al-Gahtani,Husain J. see El-Gebeily, Mohamed A. et al., 2003g:65155(Beskos, D. E.) see Boundary elements, 2003e:65002

Bonnet, Marc Exploiting partial or complete geometrical symmetry in boundary integralequation formulations of elastodynamic problems. (English summary) 2003c:74019

(Brebbia, C. A.) see Boundary elements, 2003e:65002 and 2003i:65005

Celorrio, Ricardo (with Domınguez, Vıctor; Sayas, Francisco Javier) Periodic Dirac deltadistributions in the boundary element method. (English summary) 2003h:65176

Dargush, G. F. (with Grigoriev, M. M.) Higher-order boundary element methodsfor transient diffusion problems. II. Singular flux formulation. (English summary)2003g:65114

see also Grigoriev, M. M., 2003g:65116Davies, Trevor G. see Gao, Xiao-Wei, 2003a:74055Ding, Fang Yun see Ding, Rui et al., 2003b:74028Ding, Rui (with Ding, Fang Yun; Zhang, Ying) Boundary element method for bucklingeigenvalue problem and its convergence analysis. (Chinese. English and Chinesesummaries) 2003b:74028

Dinh Nho Hao seeMarin, Liviu et al., 2003c:74022Domınguez, Vıctor see Celorrio, Ricardo et al., 2003h:65176Donescu, Pompiliu (with Virgin, Lawrence N.) An implicit boundary element solution withconsistent linearization for free surface flows and non-linear fluid-structure interaction offloating bodies. (English summary) 2003d:76111


Elleithy, Wael M. see El-Gebeily, Mohamed A. et al., 2003g:65155de Freitas, J. A. Teixeira Mixed finite element formulation for the solution of parabolicproblems. (English summary) 2003e:65217

Gao, Xiao-Wei (with Davies, Trevor G.) Boundary element programming in mechanics.(English summary) 2003a:74055

Gatica, Gabriel N. (with Heuer, Norbert) A preconditioned MINRES method for thecoupling of mixed-FEM and BEM for some nonlinear problems. (English summary)2003m:65197

Gelbard, F. (withMalloy, K. J.) Modeling quantum structures with the boundary elementmethod. (English summary) 2003a:81003

Grigoriev, M. M. (with Dargush, G. F.) Higher-order boundary element methodsfor transient diffusion problems. I. Bounded flux formulation. (English summary)2003g:65116

see also Dargush, G. F., 2003g:65114Guo, Benqi see Ainsworth, Mark, 2003m:65223

Hackbusch, Wolfgang Direct integration of the Newton potential over cubes. (Englishsummary) 2003d:65120

(with Khoromskiı, B. N.) Blended kernel approximation in the H -matrix techniques.(English summary) 2003c:65121


Heuer, Norbert see Gatica, Gabriel N., 2003m:65197Hiptmair, R. Symmetric coupling for eddy current problems. (English summary)

2003j:78056

(with Schwab, Christoph) Natural boundary element methods for the electric fieldintegral equation on polyhedra. (English summary) 2003j:78059

Hsiao, George C. (with Rathsfeld, Andreas) Wavelet collocation methods for a first kindboundary integral equation in acoustic scattering. (English summary) 2003e:76100

Ibanez, M.-T. (with Power, H.) Advanced boundary elements for heat transfer. (Englishsummary) 2003k:65001

Jecl, R. see Skerget, L., 2003m:76114Jung, Michael1 (with Steinbach, Olaf) A finite element-boundary element algorithm forinhomogeneous boundary value problems. (English summary) 2003b:65120

(Katsikadelis, J. T.) see Boundary elements, 2003e:65002Khoromskiı, B. N. see Hackbusch,Wolfgang, 2003c:65121Kuhn, Michael (with Steinbach, Olaf) FEM-BEM coupling for 3D exterior magnetic fieldproblems. (English summary) 2003k:65151

(with Steinbach, Olaf) Symmetric coupling of finite and boundary elements for exteriormagnetic field problems. (English summary) 2003b:65122

Lesnic, D. seeMarin, Liviu et al., 2003c:74022Liu, Huan-Wen (with Zhu, Song-Ping) The dual reciprocity boundary element method formagnetohydrodynamic channel flows. (English summary) 2003h:76097

Malloy, K. J. see Gelbard, F., 2003a:81003(Manolis, George D.) see Boundary elements, 2003e:65002Marin, Liviu (with Dinh Nho Hao; Lesnic, D.) Conjugate gradient-boundary elementmethod for the Cauchy problem in elasticity. (English summary) 2003c:74022

Marquez Gentil, Antonio seeMeddahi, Salim, 2003m:65209

Meddahi, Salim (withMarquez Gentil, Antonio) A combination of spectral and finiteelements for an exterior problem in the plane. (English summary) 2003m:65209

Miranda-Valenzuela, Jose Carlos (withMuci-Kuchler, KarimHeinz) Adaptive meshingwith boundary elements. (English summary) 2003g:65002

Muci-Kuchler, Karim Heinz seeMiranda-Valenzuela, Jose Carlos, 2003g:65002Paiva, Freddy see Harbrecht, H. et al., 2003g:65143Perez, C. see Harbrecht, H. et al., 2003g:65143(Popov, Viktor) see Boundary elements, 2003i:65005Power, H. see Ibanez,M.-T., 2003k:65001Pozrikidis, C. A practical guide to boundary element methods with the software libraryBEMLIB. (English summary) 2003f:65002

Qin, Qing-Hua The Trefftz finite and boundary element method. (English summary)2003e:65227

Rathsfeld, Andreas see Hsiao, George C., 2003e:76100Sayas, Francisco Javier see Celorrio, Ricardo et al., 2003h:65176Schneider, Reinhold see Harbrecht, H. et al., 2003g:65143Schwab, Christoph see Hiptmair, R., 2003j:78059 and Sterz, O., (2003f:78001)Shen, You Jian Wavelet solution of plane elasticity problem in the upper half-plane.(English summary) 2003m:74042

Skerget, L. (with Jecl, R.) Boundary element method for transport phenomena in porousmedium. (English summary) 2003m:76114


Sloan, Ian H. Qualocation. (English summary) 2003b:65127

Steinbach,Olaf (withWendland, Wolfgang L.) Efficient preconditioners for boundaryelement methods and their use in domain decomposition methods. (see 2003f:65005)see also Jung,Michael1, 2003b:65120;Kuhn, Michael, 2003b:65122 and 2003k:65151

Sterz, O. (with Schwab, Christoph) A scalar BEM for time harmonic eddy currentproblems with impedance boundary conditions. (English summary) (see 2003f:78001)

(Tadeu, A.) see Boundary elements, 2003i:65005Virgin, Lawrence N. seeDonescu, Pompiliu, 2003d:76111Wendland,Wolfgang L. see Steinbach,Olaf, (2003f:65005)Zhang, Ying see Ding, Rui et al., 2003b:74028Zheng,Quan1 A coupling method of curved FEM and natural BEM for solving theexterior problem. (Chinese. English summary) 2003f:65195

Zhu, Song-Ping see Liu, Huan-Wen, 2003h:76097


Boundary elements Boundary elements XXIII. 2003e:65002Boundary elements. XXIV. 2003i:65005

Conference:

Boundary Element Method Boundary elements XXIII. 2003e:65002Boundary Element Methods Boundary elements. XXIV. 2003i:65005

Lemnos Boundary elements XXIII. 2003e:65002

Sintra Boundary elements. XXIV. 2003i:65005

65N40 Method of lines

Kandilarov, Yu. D. (with Volkov, Lyuben G.; Zadorin, A. I.) A method of lines approach tothe numerical solution of singularly perturbed elliptic problems. (English summary) (see2003e:65003)

Volkov, Lyuben G. see Kandilarov, Yu. D. et al., (2003e:65003)Zadorin, A. I. see Kandilarov, Yu. D. et al., (2003e:65003)


Honma, Toshihisa seeWatanabe,Kota et al.

Igarashi, Hajime seeWatanabe,Kota et al.

Watanabe, Kota (with Igarashi, Hajime; Honma, Toshihisa) Applications of the multigridmethod to the finite element method in electromagnetic field analysis. (Japanese)

65N50 Mesh generation and refinement

Agouzal,Abdellatif (with Vasilevskiı, Yu. V.) On a discrete Hessian recovery for P1 finiteelements. (English summary) 2003c:65137

Arushanyan, I. O. (with Kobel′kov, G. M.) Implementation of least-squares finite elementmethod for solving the generalized Stokes problem. (English summary) (see 2003f:65007)

Baines, Michael Fluctuation distribution schemes on adjustable meshes for scalarhyperbolic equations. (English summary) (see 2003f:65006)Moving meshes, conservation laws and least squares equidistribution. (English summary)2003j:65125

Bern, Marshall Adaptive mesh generation. (English summary) 2003m:65220

Branets, L. V. (with Garanzha, V. A.) Distortion measure of trilinear mapping. Applica-tion to 3-D grid generation. (English summary) 2003h:65165

Chen, Song-can see Lu, Hong-qiang et al., 2003k:65163Chen, Zhi Ming1 (with Dai, Shibin) On the efficiency of adaptive finite element methodsfor elliptic problems with discontinuous coefficients. (English summary) 2003k:65160

Dai, Shibin see Chen, Zhi Ming1, 2003k:65160Davydov,Oleg On local refinement of smooth finite elements and splines. (Englishsummary) 2003m:65221

Driessen, Brian J. Direct stiffness-modification route to linear consistency betweenincompatible finite element meshes. (see 2003a:00028)

Du, Qiang (with Gunzburger, Max D.) Grid generation and optimization based oncentroidal Voronoi tessellations. (English summary) 2003h:65166

see also Ju, Lili et al.Escobar, J. M. seeMontenegro,R. et al.

Garanzha, V. A. Maximum norm optimization of quasi-isometric mappings. (Englishsummary) 2003i:65122

see also Branets, L. V., 2003h:65165Grinspun, Eitan see Krysl, Petr et al.Gunzburger,Max D. see Du, Qiang, 2003h:65166 and Ju, Lili et al.

Heinstein,M. W. (with Laursen, Tod A.) A three dimensional surface-to-surfaceprojection algorithm for non-coincident domains. (English summary)

Hu, Jian Wei see Tian, Chun Song

Huang,Wei Zhang1 (with Sun, Wei Wei) Variational mesh adaptation. II. Error estimatesand monitor functions. (English summary)

Ivanenko, S. A. On the existence of equations for describing classes of nondegenerate curvi-linear coordinates in an arbitrary domain. (Russian. Russian summary) 2003d:65116

Ju, Lili (with Du, Qiang; Gunzburger, Max D.) Probabilistic methods for centroidalVoronoi tessellations and their parallel implementations. (English summary)

Kapp,Hartmut An approach to adaptivity in optimization problems. (English summary)(see 2003f:65007)

Khaırullin, A. F. (with Khaırullina, O. B.) Automatic construction of an initial approxima-tion of a block-structured curvilinear grid. (Russian. English summary) 2003k:65161

Khaırullina,O. B. see Khaırullin, A. F., 2003k:65161Khakimzyanov,G. S. see Lebedev, A. S. et al., 2003i:65123Knupp, Patrick M. Algebraic mesh quality metrics. (English summary) 2003k:65162

Kobel′kov, G. M. see Arushanyan, I. O., (2003f:65007)Korotov, Sergey (with Stando, Jacek) Yellow-red and nonobtuse refinements of planartriangulations. (English summary) 2003g:65152

Krysl, Petr (with Grinspun, Eitan; Schroder, Peter) Natural hierarchical refinement forfinite element methods. (English summary)

Kunert, Gerd Toward anisotropic mesh construction and error estimation in the finiteelement method. (English summary) 2003g:65153

Laursen, Tod A. see Heinstein, M. W.

Lebedev, A. S. (with Liseıkin, V. D.; Khakimzyanov, G. S.) Development of methods forconstructing additive grids. (Russian. English summary) 2003i:65123

Liao, Guojun (with Pan, Tsorng-Whay; de la Pena, Gary C.; Su, Jianzhong) Deformationmethod in grid generation, theory and applications: qualitative behavior. (Englishsummary) 2003h:65167

Lipnikov, Konstantin (with Vasilevskiı, Yu. V.) Parallel adaptive solution of 3D boundaryvalue problems by Hessian recovery. (English summary)

Liseıkin, V. D. Analysis of quality of numerical grids produced by a comprehensive gridgenerator. (English summary) 2003h:65168

see also Lebedev, A. S. et al., 2003i:65123Liu, Jianfei see Lo, Sai-HuenLo, Sai-Huen (with Liu, Jianfei) Automatic mesh generation on a regular backgroundgrid. (English summary)

Lu, Hong-qiang (withWu, Yi-zhao; Chen, Song-can) A new method based on SOMnetwork to generate coarse meshes for overlapping unstructured multigrid algorithm.(English summary) 2003k:65163


Montenegro, R. (withMontero Garcıa, Gustavo; Escobar, J. M.; Rodrıguez, E.) Efficientstrategies for adaptive 3-Dmesh generation over complex orography. (English summary)

Montero Garcıa, Gustavo seeMontenegro, R. et al.Nishikawa, Hiroaki see Roe, Philip L., 2003g:65154Oden, J. Tinsley see Prudhomme, Serge, 2003m:65222

Pan, Tsorng-Whay see Liao, Guojun et al., 2003h:65167de la Pena, Gary C. see Liao, Guojun et al., 2003h:65167Polyakov, S. V. see Popov, I. V.

Popov, I. V. (with Polyakov, S. V.) Construction of adaptive irregular triangular grids fortwo-dimensional multiply connected nonconvex domains. (Russian. English and Russiansummaries)

Prudhomme, Serge (with Oden, J. Tinsley) Computable error estimators and adaptivetechniques for fluid flow problems. (English summary) 2003m:65222

Rodrıguez, E. seeMontenegro,R. et al.

Roe, Philip L. (with Nishikawa, Hiroaki) Adaptive grid generation by minimizingresiduals. (English summary) 2003g:65154

Schroder, Peter see Krysl, Petr et al.

Sheffer, Alla see Ungor, Alper, 2003e:65232Shewchuk, JonathanRichard Delaunay refinement algorithms for triangular meshgeneration. (English summary) 2003b:65131

Shi, Zhong Ci seeMing, Ping-bing, 2003h:65169Stando, Jacek see Korotov, Sergey, 2003g:65152Su, Jianzhong see Liao, Guojun et al., 2003h:65167Sun, Wei Wei see Huang, Wei Zhang1

Tang, Huazhong see Tang, Tao

Tang, Tao (with Tang, Huazhong) Computational fluid dynamics with mesh adaptivity.(English summary)

Tian, Chun Song (with Hu, JianWei) Local refinement for a kind of triangular mesh andits application. (Chinese. English summary)

Ungor, Alper (with Sheffer, Alla) Pitching tents in space-time: mesh generation fordiscontinuous Galerkin method. (English summary) 2003e:65232


Vasilevskiı, Yu. V. see Agouzal, Abdellatif,2003c:65137 and Lipnikov, KonstantinWu, Yi-zhao see Lu, Hong-qiang et al., 2003k:65163


Ainsworth, Mark (with Kelly, Donald W.) A posteriori error estimators and adaptivityfor finite element approximation of the non-homogeneous Dirichlet problem. (Englishsummary) 2003a:65096

Beal, Pierre (with Koko, Jonas; Touzani, Rachid) Mesh r-adaptation for unilateral contactproblems. (English summary) 2003d:74084

Becker, Roland Mesh adaptation for Dirichlet flow control via Nitsche’s method. (Englishsummary) 2003g:65138(with Heuveline, V.; Rannacher, Rolf) An optimal control approach to adaptivity incomputational fluid mechanics. (English summary) 2003i:76064

Bernardi, Christine (with Fietier, Nicolas; Owens, Robert G.) An error indicator formortar element solutions to the Stokes problem. (English summary) 2003g:65135

Bugeda, G. see Ribo, R. et al., 2003g:68157Carstensen, Carsten (with Plechac, Petr) Numerical analysis of a relaxed variational modelof hysteresis in two-phase solids. (English summary) 2003c:74071

Chen, Haibo (with Schnack, E.) A simple error indicator and adaptive algorithm for 2Delastic BEM. (English summary) (see 2003e:65002)

Cheng, Xiao Liang (with Ye, Xing De) Analysis of the checkerboard mode and inf-supcondition. (English summary) 2003f:65191


Chugunov, V. A. (with Vasilevskiı, Yu. V.) Parallel multilevel data structures for anonconforming finite element problem on unstructured meshes. (English summary)

Dıez, Pedro see Huerta, Antonio et al., 2003d:74088Dimitrov, A. (with Schnack, E.) Asymptotical expansion in non-Lipschitzian domains—anumerical approach. (English summary) 2003i:74020


Edelsbrunner, Herbert Triangulations and meshes in computational geometry. (Englishsummary) 2003f:65035

Fietier, Nicolas see Bernardi, Christine et al., 2003g:65135Fisher, Timothy S. see Jorge, Ariosto B. et al.Giordana, S. see Peiro, J. et al., 2003g:76082Giralt, Francesc see Herrera, B. et al., 2003m:76124


Gotovac, S. see Kovac, N. et al., 2003e:65027

Grau, F. X. see Herrera, B. et al., 2003m:76124

Griebel, Michael (with Schweitzer, Marc Alexander) A particle-partition of unity method.II. Efficient cover construction and reliable integration. (English summary) 2003b:65118

Griffith, C. see Peiro, J. et al., 2003g:76082Hartmann, Ralf (with Houston, Paul) Adaptive discontinuous Galerkin finite elementmethods for the compressible Euler equations. (English summary) 2003k:76084

Herrera, B. (with Grau, F. X.; Giralt, Francesc) Orthogonal grids around convex bodiesusing foliations. (English summary) 2003m:76124

Heuveline,V. see Becker, Roland et al., 2003i:76064Holst, Michael Jay Adaptive numerical treatment of elliptic systems on manifolds. (Englishsummary) 2003a:65108

Houston, Paul (with Senior, Bill; Suli, Endre) hp-discontinuous Galerkin finite elementmethods for hyperbolic problems: error analysis and adaptivity. (English summary)2003g:65144

see also Hartmann, Ralf, 2003k:76084Huerta, Antonio (with Rodrıguez-Ferran, Antonio; Dıez, Pedro) Error estimation andadaptivity for nonlinear FE analysis. (English summary) 2003d:74088

Jorge, Ariosto B. (with Ribeiro, Gabriel O.; Fisher, Timothy S.) New approaches forerror estimation and adaptivity for 2D potential boundary element methods. (Englishsummary)

Kang, Tong (with Yu, De Hao) A posteriori error estimate of the DSD method for first-order hyperbolic equations. (Chinese. English and Chinese summaries) 2003k:65136

Kelly, Donald W. see Ainsworth, Mark, 2003a:65096

Koko, Jonas see Beal, Pierre et al., 2003d:74084

Kompatsiaris, Ioannis (with Tzovaras, Dimitrios; Strintzis, Michael G.) Hierarchicalrepresentation and coding of surfaces using 3-D polygon meshes. (English summary)2003d:65014

Kovac, N. (with Gotovac, S.; Poljak, D.) A new front updating solution applied to someengineering problems. (English summary) 2003e:65027

Leguillon, D. (with Sanchez Palencia, Evariste; de Souza, Carlos E.) Singular perturba-tions without limit in the energy space. Convergence and computation of the associatedlayers. 2003m:35019

Liu, Wen Bin1 Recent advances in mesh adaptivity for optimal control problems. (Englishsummary) 2003h:49053

(with Yan, Ningning) A posteriori error estimates for control problems governed byStokes equations. (English summary) 2003j:65119


Miranda-Valenzuela, Jose Carlos (withMuci-Kuchler, KarimHeinz) Adaptive meshingwith boundary elements. (English summary) 2003g:65002

Muci-Kuchler,Karim Heinz seeMiranda-Valenzuela, Jose Carlos, 2003g:65002Onate, E. see Ribo, R. et al., 2003g:68157

Owens, Robert G. see Bernardi, Christine et al., 2003g:65135

Paraschivoiu,Marius see Choi, Hae-Won, 2003h:65149

Peiro, J. (with Giordana, S.; Griffith, C.; Sherwin, S. J.) High-order algorithms forvascular flow modelling. (English summary) 2003g:76082

Plechac, Petr see Carstensen, Carsten, 2003c:74071Poljak, D. see Kovac, N. et al., 2003e:65027

Rannacher,Rolf see Becker, Roland et al., 2003i:76064

Ribeiro, Gabriel O. see Jorge, Ariosto B. et al.

Ribo, R. (with Bugeda, G.; Onate, E.) Some algorithms to correct a geometry in order tocreate a finite element mesh. (English summary) 2003g:68157

Rodrıguez-Ferran, Antonio see Huerta, Antonio et al., 2003d:74088

SanchezPalencia, Evariste see Leguillon, D. et al., 2003m:35019

Schnack,E. see Dimitrov, A., 2003i:74020 and Chen, Haibo, (2003e:65002)

Schweitzer, Marc Alexander see Griebel, Michael, 2003b:65118

Senior, Bill see Houston, Paul et al., 2003g:65144Sherwin, S. J. see Peiro, J. et al., 2003g:76082

Shi, Zhong Ci seeMing, Ping-bing, 2003h:65163

de Souza, Carlos E. see Leguillon, D. et al., 2003m:35019

Stathopoulos,Andreas (with Teng, Shang-Hua) Recovering mesh geometry from a stiffnessmatrix. (English summary) 2003h:65164

Strintzis,Michael G. see Kompatsiaris, Ioannis et al., 2003d:65014

Suli, Endre see Houston, Paul et al., 2003g:65144Sun,Haiwei see Zhang, Jun2 et al.

Tai, Xue-Cheng (with Tseng, Paul) Convergence rate analysis of an asynchronous spacedecomposition method for convexminimization. (English summary) 2003b:90070

Temlyakov, V. N. Nonlinear approximation with regard to bases. (English summary)2003f:41032

Teng, Shang-Hua see Stathopoulos,Andreas, 2003h:65164

Touzani, Rachid see Beal, Pierre et al., 2003d:74084

Tseng, Paul see Tai, Xue-Cheng,2003b:90070Tzovaras, Dimitrios see Kompatsiaris, Ioannis et al., 2003d:65014


Wang, Song1 Solving convection-dominated anisotropic diffusion equations by anexponentially fitted finite volume method. (English summary) 2003k:65134

Weigang, Zhang see Yaqun, Zhu et al.

Yan, Ningning see Liu, Wen Bin1, 2003j:65119Yaqun, Zhu (with Zhongqin, Lin; Weigang, Zhang) A quadrilateral thin shell elementbased on area co-ordinate for explicit dynamic analysis. (English summary)

Ye, Xing De see Cheng, Xiao Liang, 2003f:65191

Yu,De Hao see Kang, Tong, 2003k:65136

Zhang, Jun2 (with Sun, Haiwei; Zhao, Jennifer J.) High order compact scheme withmultigrid local mesh refinement procedure for convection diffusion problems. (Englishsummary)

Zhao, Jennifer J. see Zhang, Jun2 et al.

Zhongqin,Lin see Yaqun, Zhu et al.

65N55 Multigrid methods; domain decomposition

Achdou, Yves (with Kuznetsov, Yuriı Alekseevich1) Algorithms for the mortar elementmethod. (English summary) (see 2003f:65005)


Akimov, V. V. Overlapping domain decomposition for elliptic problems on locally refinedmeshes: Dirichlet boundary conditions. (English summary) 2003m:65224

Albarreal, I. I. (with Calzada Canalejo, M. C.; Cruz Soto, J. L.; Fernandez Cara, Enrique;Galo, J. R.; Marın Beltran, Mercedes) A parallel algorithm for the Helmholtz equation.(Spanish. Spanish summary) (see 2003a:00034)

Al-Gahtani, Husain J. see El-Gebeily, Mohamed A. et al., 2003g:65155Anwander, A. seeWolters, C. H. et al.

Apel, Thomas (with Schoberl, Joachim) Multigrid methods for anisotropic edgerefinement. (English summary) 2003m:65225

Barberou, N. (with Garbey, M.; Hess, M.; Rossi, Tuomo; Resh, M.; Toivanen, Jari;Tromeur-Dervout, D.) Scalable numerical algorithms for efficient meta-computing ofelliptic equations. (English summary) (see 2003b:76005)

Bertoluzza, Silvia (with Falletta, Silvia; Perrier, Valerie) Wavelet/FEMcoupling by themortar method. (English summary) (see 2003k:65167)

Bjørstad, Petter E. (with Dryja, Maksymilian; Vainikko, Eero) Additive Schwarz methodswithout subdomain overlap and with new coarse spaces. (see 2003f:65005)

Bornemann, Folkmar A. (with Deuflhard, Peter) Cascadic multigrid methods. (see2003f:65005)

Brenner, Susanne C. Smoothers, mesh dependent norms, interpolation and multigrid.(English summary) 2003j:65126Convergence of the multigrid V -cycle algorithm for second-order boundary valueproblems without full elliptic regularity. (English summary) 2003b:65132

Bristeau, M. O. (with Dean, Edward J.; Glowinski, Roland; Kwok, V.; Periaux, J.) Exactcontrollability and domain decomposition methods with non-matching grids for thecomputation of scattering waves. (English summary) (see 2003f:65005)

Calzada Canalejo,M. C. see Albarreal, I. I. et al., (2003a:00034)Chan, Tony F. (with Go, Susie; Zou, Jun) Multilevel domain decomposition and multigridmethods for unstructured meshes: algorithms and theory. (see 2003f:65005)

Chen, Hong Quan see Periaux, J., (2003f:65005)Chu, De Lin (with Hu, Xiancheng) Domain decomposition algorithms for a generalizedStokes problem. (see 2003f:65005)

Clavero Gracia, Carmelo see Gaspar, Francisco J. et al., (2003e:65003)Cruz Soto, J. L. see Albarreal, I. I. et al., (2003a:00034)Dean, Edward J. see Bristeau, M. O. et al., (2003f:65005)Delpino, S. (with Lions, Jacques-Louis; Pironneau, Olivier) A-priori domain decomposi-tion of PDE systems and applications. (English summary) (see 2002m:65002)

Deuflhard, Peter see Bornemann, Folkmar A., (2003f:65005)Diaz, Martin see Herrera, Ismael et al., 2003d:65117Douglas, Craig C. (with Thorne, Dan T.) A note on cache memory methods for multigridin three dimensions. (English summary) 2003k:65164

Dryja, Maksymilian see Bjørstad, Petter E. et al., (2003f:65005)Dzhangveladze,T. A. (with Kiguradze, Z.) Domain decomposition for Bitsadze-Samarskiiboundary value problem.


Elleithy, Wael M. see El-Gebeily, Mohamed A. et al., 2003g:65155El Mansouri, Noureddine see Oualibouch,Said, (2003f:65005)Falletta, Silvia see Bertoluzza, Silvia et al., (2003k:65167)Farhat, Charbel see Hetmaniuk, Ulrich, (2003k:65167)Feng, Xiaobing (with Karakashian, Ohannes A.) Two-level additive Schwarz methodsfor a discontinuous Galerkin approximation of second order elliptic problems. (Englishsummary) 2003a:65113

FernandezCara, Enrique see Albarreal, I. I. et al., (2003a:00034)Fish, Jacob see Korneev, Vadim G. et al., 2003k:65165Flaherty, Joseph E. see Korneev, Vadim G. et al., 2003k:65165Galo, J. R. see Albarreal, I. I. et al., (2003a:00034)Gander, Martin J. (withMagoules, Frederic; Nataf, Frederic) Optimized Schwarz methodswithout overlap for the Helmholtz equation. (English summary) 2003i:65124

Garbey, M. see Barberou, N. et al., (2003b:76005)Gaspar, Francisco J. (with Lisbona, Francisco J.; Clavero Gracia, Carmelo) Multigridmethods and finite difference schemes for 2D singularly perturbed problems. (Englishsummary) (see 2003e:65003)

Glowinski, Roland see Bristeau, M. O. et al., (2003f:65005)Go, Susie see Chan, Tony F. et al., (2003f:65005)Gu, Jinsheng (with Hu, Xiancheng) Some recent developments in domain decompositionmethods with nonconforming finite elements. (see 2003f:65005)

Guo, Benqi see Ainsworth, Mark, 2003m:65223

Hakopian, Yu. R. (with Hovhannisyan, H. A.) Algebraic multilevel preconditioners forthird order finite element approximations in rectangular domains. (English summary)2003j:65127

Herrera, Ismael (with Yates, Robert E.; Diaz, Martin) General theory of domaindecomposition: indirect methods. (English summary) 2003d:65117

Hess, M. see Barberou, N. et al., (2003b:76005)Hetmaniuk, Ulrich (with Farhat, Charbel) A blended fictitious/real domain decompo-sition method for partially axisymmetric exterior Helmholtz problems with Dirichletboundary conditions. (English summary) (see 2003k:65167)

Hollig, Klaus (with Reif, Ulrich; Wipper, Joachim) Multigrid methods with web-splines.(English summary) 2003c:65138

Honma, Toshihisa seeWatanabe,Kota et al.

Hovhannisyan,H. A. see Hakopian, Yu. R., 2003j:65127Hu, Qi Ya A preconditioner for domain decomposition methods with mortar Lagrangemultipliers. (English summary) 2003i:65125


Hu, Xiancheng see Gu, Jinsheng, (2003f:65005)and Chu, De Lin, (2003f:65005)Huang, Yun Qing see Xiao, Jie et al.Igarashi, Hajime seeWatanabe,Kota et al.

Jiang, Ying Jun (with Zeng, Jin Ping) A cascade multigrid method for solving non-symmetric elliptic problems. (Chinese. English and Chinese summaries)

Jimack, Peter K. see Nadeem, Sarfraz A., 2003k:65166John, Volker (with Knobloch, P.; Matthies, G.; Tobiska, L.) Non-nested multi-level solversfor finite element discretisations of mixed problems. (English summary) 2003f:65200

Karakashian,OhannesA. see Feng, Xiaobing, 2003a:65113Kiguradze,Z. see Dzhangveladze,T. A.Kim, Seongjai (with Kim, Soohyun) Multigrid simulation for high-frequency solutions ofthe Helmholtz problem in heterogeneous media. (English summary) 2003m:65226

Kim, Soohyun see Kim, Seongjai,2003m:65226

Knobloch,P. see John, Volker et al., 2003f:65200Korneev,Vadim G. (with Flaherty, Joseph E.; Oden, T.; Fish, Jacob) hp-version ad-ditive Schwarz algorithms on triangular meshes. (English and Russian summaries)2003k:65165

Kornhuber, Ralf On constrained Newton linearization and multigrid for variationalinequalities. (English summary) 2003f:65201

Kuhn, Michael seeWolters, C. H. et al.

Kuznetsov, Yuriı Alekseevich1 see Achdou,Yves, (2003f:65005)Kwak, Do Young A general multigrid framework for a class of perturbed problems.(English summary) 2003h:65170

Kwok, V. see Bristeau, M. O. et al., (2003f:65005)Li, Cuihua see Li, Kai Tai, (2003f:65005)Li, Kai Tai (with Li, Cuihua) Convergence analysis of parallel domain decompositionalgorithm for Navier-Stokes equations. (see 2003f:65005)

Li, Zi Cai Domain decomposition methods to penalty combinations for singularityproblem. (English summary) (see 2003f:65005)

Liem, Chin Bo (with Shih, Tsi Min; Lu, Tao) Splitting extrapolationmethod for solvingmultidimensional problems in parallel. (English summary) (see 2003f:65005)

Lions, Jacques-Louis see Delpino, S. et al., (2002m:65002)Lisbona, Francisco J. seeGaspar, Francisco J. et al., (2003e:65003)Liu, Wen Bin1 see Xiao, Jie et al.

Lu, Jing2 see Lu, Tao, 2003b:65133Lu, Tao (with Lu, Jing2) Splitting extrapolation for solving second order elliptic systemswith curved boundary in Rd by using d -quadratic isoparametric finite element. (Englishsummary) 2003b:65133

see also Liem, Chin Bo et al., (2003f:65005)Lui, S. H. On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs.(English summary) 2003j:65128

MacMullen,H. (with O’Riordan, E.; Shishkin, Grigorii I.) Schwarz methods forconvection-diffusion problems. (English summary) (see 2003e:65003)(with O’Riordan, E.; Shishkin, Grigorii I.) The convergence of classical Schwarzmethods applied to convection-diffusion problems with regular boundary layers. (Englishsummary) 2003i:65126

Magoules, Frederic see Gander, Martin J. et al., 2003i:65124Marın Beltran, Mercedes see Albarreal, I. I. et al., (2003a:00034)Matthies,G. see John, Volker et al., 2003f:65200Mroz, Monika Domain decomposition methods with strip substructures. (Englishsummary) (see 2003f:65005)

Nadeem, Sarfraz A. (with Jimack, Peter K.) Parallel implementation of an optimal twolevel additive Schwarz preconditioner for the 3-D finite element solution of elliptic partialdifferential equations. (English summary) 2003k:65166

Nataf, Frederic see Gander, Martin J. et al., 2003i:65124Nepomnyashchikh,Sergeı V. Domain decomposition and multilevel techniques forpreconditioning operators. (see 2003f:65005)

Oden, T. see Korneev, Vadim G. et al., 2003k:65165O’Riordan, E. seeMacMullen,H. et al., 2003i:65126 and (2003e:65003)Oualibouch,Said (with El Mansouri, Noureddine) Proximal domain decompositionalgorithms and application to elliptic problems. (English summary) (see 2003f:65005)

Ouazzi, Abderrahim see Turek, Stefan et al., 2003j:65130(Pavarino, Luca F.) see Recent developments in domain decomposition methods, 2003k:65167Pencheva, Gergina (with Yotov, Ivan) Balancing domain decomposition for porous mediaflow in multiblock domains. 2003e:65233

Periaux, J. (with Chen, Hong Quan) Domain decomposition method using geneticalgorithms for solving transonic aerodynamic problems. (see 2003f:65005)see also Bristeau, M. O. et al., (2003f:65005)

Perrier, Valerie see Bertoluzza, Silvia et al., (2003k:65167)Pironneau,Olivier see Delpino, S. et al., (2002m:65002)Reif, Ulrich see Hollig, Klaus et al., 2003c:65138Reitzinger, Stefan seeWolters, C. H. et al.

Resh, M. see Barberou, N. et al., (2003b:76005)Rice, John Rischard (with Tsompanopoulou, P.; Vavalis, Emmanuel) Fine tuning interfacerelaxationmethods for elliptic differential equations. (English summary) 2003m:65227

Rossi, Tuomo see Barberou, N. et al., (2003b:76005)Rude, Ulrich Stability of implicit extrapolationmethods. (see 2003f:65005)Sarkis, Marcus Partition of unity coarse spaces. (English summary) 2003e:65234

Schmachtel,R. see Turek, Stefan et al., 2003j:65130Schoberl, Joachim see Apel, Thomas, 2003m:65225

Shih, Tsi Min see Liem, Chin Bo et al., (2003f:65005)Shishkin, Grigorii I. seeMacMullen,H. et al., 2003i:65126 and (2003e:65003)Sirotkin, V. (with Tarvainen, Pasi) Parallel Schwarz methods for convection-dominatedsemilinear diffusion problems. (English summary) 2003e:65235

Sprengel, Frauke Comparing multilevel coarsening strategies. (English summary)2003j:65129

Steinbach,Olaf (withWendland, Wolfgang L.) Efficient preconditioners for boundaryelement methods and their use in domain decomposition methods. (see 2003f:65005)

Stevenson,Rob Nonconforming finite elements and the cascadic multi-grid method.(English summary) 2003c:65139

An analysis of nonconforming multi-grid methods, leading to an improved method forthe Morley element. (English summary) 2003i:65127

Sun, Haiwei see Zhang, Jun2 et al.

Tarvainen, Pasi see Sirotkin, V., 2003e:65235Thorne, Dan T. see Douglas, Craig C., 2003k:65164Tobiska, L. see John, Volker et al., 2003f:65200Toivanen, Jari see Barberou, N. et al., (2003b:76005)(Toselli, Andrea) see Recent developments in domain decompositionmethods, 2003k:65167Tromeur-Dervout, D. see Barberou, N. et al., (2003b:76005)Tsompanopoulou,P. see Rice, John Rischard et al., 2003m:65227

Turek, Stefan (with Ouazzi, Abderrahim; Schmachtel, R.) Multigrid methods forstabilized nonconforming finite elements for incompressible flow involving thedeformation tensor formulation. (English summary) 2003j:65130

Vainikko, Eero see Bjørstad, Petter E. et al., (2003f:65005)Vavalis, Emmanuel see Rice, John Rischard et al., 2003m:65227

Wang, Jun Ping1 (with Yan, Ningning) A parallel domain decomposition procedure forconvection diffusion problems. (see 2003f:65005)

Washio, Takumi Conservative discretization of Poisson’s equation on locally refined gridsand its solution method by multigrid.

Watanabe,Kota (with Igarashi, Hajime; Honma, Toshihisa) Applications of the multigridmethod to the finite element method in electromagnetic field analysis. (Japanese)

Wendland,Wolfgang L. see Steinbach,Olaf, (2003f:65005)Widlund,Olof B. Preconditioners for spectral and mortar finite element methods. (see

2003f:65005)Wipper, Joachim see Hollig, Klaus et al., 2003c:65138Wolters, C. H. (with Kuhn, Michael; Anwander, A.; Reitzinger, Stefan) A parallelalgebraicmultigrid solver for finite element method based source localization in thehuman brain. (English summary)

Xiao, Jie (with Huang, Yun Qing; Liu, Wen Bin1) Some multigrid methods for solving thep-Laplace equation. (Chinese. English and Chinese summaries)

Yan, Ningning seeWang, Jun Ping1, (2003f:65005)Yang, Dan Ping A parallel domain decomposition algorithm of mixed element equation forsecond-order elliptic Dirichlet boundary value problem. (English summary) 2003f:65202

Yang, Min1 (with Zhang, Lei) A non-overlapping domain decomposition algorithm forelliptic boundary value problems with infinite concave angle domain. (Chinese. Englishand Chinese summaries)see also Zhang, Lei

Yates, Robert E. see Herrera, Ismael et al., 2003d:65117Yotov, Ivan see Pencheva, Gergina, 2003e:65233Yu, De Hao Domain decomposition methods for unbounded domains. (see 2003f:65005)Zeng, Jin Ping see Jiang, Ying Jun

Zhang, Jun2 (with Sun, Haiwei; Zhao, Jennifer J.) High order compact scheme withmultigrid local mesh refinement procedure for convection diffusion problems. (Englishsummary)

Zhang, Lei (with Yang, Min1) A V -cyclemultigrid method for the mortar element methodfor P1 nonconforming element. (Chinese. English and Chinese summaries)see also Yang,Min1

Zhao, Jennifer J. see Zhang, Jun2 et al.

Zhou, Aihui A multi-parameter parallel algorithm for local higher accuracy approximation.(see 2003f:65005)

Zhou, Guohui A new domain decomposition method for convection-dominated problems.(English summary) (see 2003f:65005)

Zhou, Shu Zi An additiveSchwarz algorithm for a variational inequality. (see 2003f:65005)see also Zhu, Shu Jin

Zhu, Shu Jin (with Zhou, Shu Zi) A cascadic multigrid method for nonlinear ellipticproblems. (Chinese. English and Chinese summaries)

Zou, Jun see Chan, Tony F. et al., (2003f:65005)


Recent developments in domain decompositionmethods Recent developments in domaindecomposition methods. 2003k:65167

Workshop:




Achdou, Yves (withMaday, Yvon) The mortar element method with overlappingsubdomains. (English summary) 2003f:65186

Adams, Mark F. Evaluation of three unstructured multigrid methods on 3D finite elementproblems in solid mechanics. (English summary)

Alonso Rodrıguez, Ana (with Valli, Alberto) Domain decomposition methods for time-harmonic Maxwell equations: numerical results. (English summary) (see 2003k:65167)




Bank, Randolph E. (with Jimack, Peter K.; Nadeem, Sarfraz A.; Nepomnyashchikh, SergeıV.) A weakly overlapping domain decomposition preconditioner for the finite elementsolution of elliptic partial differential equations. (English summary) 2003f:65047

Bayada, Guy (with Sabil, Jalila; Sassi, Taoufik) Algorithme de Neumann-Dirichlet pourdes problemes de contact unilateral: resultat de convergence. (English and Frenchsummaries) [Neumann-Dirichlet algorithm for unilateral contact problems: convergenceresults] 2003g:74066

Ben Belgacem, Faker (with Buffa, A.; Maday, Yvon) The mortar finite element method for3DMaxwell equations: first results. (English summary) 2003i:78019


Bernardi, Christine (with Chorfi, Nejmeddine) Mortar spectral element methods forelliptic equations with discontinuous coefficients. (English summary) 2003c:65130

Blaheta, Radim (with Byczanski, P.; Kohut, R.) Composite grid finite element method:implementation and iterative solution with inexact subproblems. (English summary)2003d:65101

Borm, Steffen (with Hiptmair, R.) Multigrid computation of axisymmetric electromagneticfields. (English summary) 2003d:78042

Brezina, Marian see Vanek, Petr et al., (2003f:65005)Buffa, A. see Ben Belgacem, Faker et al., 2003i:78019Byczanski, P. see Blaheta, Radim et al., 2003d:65101Cai, Xiao-Chuan (with Zou, Jun) Some observations on the l2 convergence of the additiveSchwarz preconditioned GMRES method. (English summary) 2003f:65049

Celorrio, Ricardo (with Domınguez, Vıctor; Sayas, Francisco Javier) An interior-exteriorSchwarz algorithm and its convergence. (English and French summaries) 2003g:35034

Chacon Rebollo, Tomas (with Chacon Vera, Eliseo; Domınguez Delgado, Antonio) Aparallel method for the Navier-Stokes equations. (English summary) (see 2003k:86001)(with Chacon Vera, Eliseo) A non-overlapping domain decomposition method for theStokes equations via a penalty term on the interface. (English and French summaries)2003b:76045

Chacon Vera, Eliseo see Chacon Rebollo, Tomas et al., 2003b:76045 and (2003k:86001)Chang, Da-Wei On convergence of the parallel Schwarz algorithm with pseudo-boundaryand the parallel multisplitting iterativemethod. (see 2003f:65005)

Chang,Qian Shun seeMa, Liming, (2003f:65005)Chen, Jian Ye (with Xu, Di-hong; Sun, Le Lin) Application of splitting extrapolation toStokes equation. (English summary)

Chen, Jin-ru (with Xu, Xue-jun) Uniform convergence and Schwarz method for themortar element method for non-selfadjoint and indefinite problems. (English summary)2003j:65113

Chen, Ke1 Solution of singular boundary element equations based on domain splitting.(see 2003f:65005)

Chen, Song-can see Lu, Hong-qiang et al., 2003k:65163Chen,Wen Bin (with Ling, Shi Bo; Huang, Jian Guo) The cascadic multigrid methodof the mortar finite element method for second-order elliptic problems with cornersingularity. (Chinese. English and Chinese summaries) 2003k:65144

Chen, Zhangxin (with Ewing, Richard E.) Domain decomposition methods and multilevelpreconditioners for nonconforming and mixed methods for partial differential problems.(English summary) (see 2003f:65005)Uniform convergence of Galerkin-multigrid methods for nonconforming finite elementsfor second-order problems with less than full elliptic regularity. (English summary)2003c:65116

Chorfi, Nejmeddine see Bernardi, Christine, 2003c:65130Colella, Phillip see Balls, Gregory T., 2003c:65102Davies, Alan J. Domain decomposition approaches to the boundary element method.(English summary) (see 2003e:65002)

Dobrev, Vesselin A. (with Vassilevski, Panayot S.) Local refinement in non-overlappingdomain decomposition. (English summary) (see 2003e:65003)

Dolean, Victorita (with Lanteri, Stephane; Nataf, Frederic) Optimized interface conditionsfor domain decomposition methods in fluid dynamics. (English summary) 2003m:76122

Domınguez, Vıctor see Celorrio, Ricardo et al., 2003g:35034DomınguezDelgado, Antonio see Chacon Rebollo, Tomas et al., (2003k:86001)Dryja, Maksymilian see Klawonn, Axel et al., 2003g:65044Du, Qiang Optimization based nonoverlapping domain decomposition algorithms andtheir convergence. (English summary) 2003b:65117

Elman, Howard C. (with Ernst, Oliver G.; O’Leary, Dianne P.) A multigrid methodenhanced by Krylov subspace iteration for discrete Helmhotz equations. (Englishsummary) 2003b:65115

Engquist, Bjorn (with Runborg, Olof) Wavelet-based numerical homogenization withapplications. (English summary) 2003k:65180

Erhel, Jocelyne see Altas, Irfan et al., 2003c:65101Ernst, Oliver G. see Elman, Howard C. et al., 2003b:65115Ewing, Richard E. see Chen, Zhangxin, (2003f:65005)Fairag, Faisal Two level finite element technique for pressure recovery from stream functionformulation of the Navier-Stokes equations. (English summary) (see 2003d:65004)

Farago, Istvan see Axelsson, Owe et al., 2003j:65025Farhat, Charbel (with Hetmaniuk, Ulrich) A fictitious domain decomposition method forthe solution of partially axisymmetric acoustic scattering problems. I. Dirichlet boundaryconditions. (English summary) 2003d:76124

Fatone,L. (with Gervasio, P.; Quarteroni, Alfio) Multimodels for incompressibleflows: iterative solutions for the Navier-Stokes/Oseen coupling. (English summary)2003b:76041

Feng, Xiaobing (with Rahman, T.) An additive average Schwarz method for the platebending problem. (English summary) 2003d:74055

Fish, Jacob see Korneev, Vadim G. et al., 2003m:65205

Flaherty, Joseph E. see Korneev, Vadim G. et al., 2003m:65205

Formaggia, Luca (with Sala, Marzio) Algebraic coarse grid operators for domaindecomposition based preconditioners. (English summary) (see 2003b:76005)

Galanin,M. (with Savenkov, E.) Fedorenko finite superelement method as special Galerkinapproximation. (English and Lithuanian summaries) 2003e:65218

Gervasio, P. see Fatone, L. et al., 2003b:76041(Glowinski, Roland) see Domain decomposition methods in sciences and engineering,

2003f:65005Goldfeld, Paulo (with Pavarino, Luca F.; Widlund, Olof B.) Balancing Neumann-Neumann methods for mixed approximations of linear elasticity. (English summary) (see2003k:65167)


Gupta,Murli M. see Altas, Irfan et al., 2003c:65101Han, Bo (with Zhou, Xiaoyan; Liu, Jia Qi) Adaptive multigrid method for numericalsolutions of elastic wave equation. (English summary) 2003g:74081

Han, D. R. (with Sun, Wenyu) New decomposition methods for solving variational

inequality problems. (English summary) 2003k:90070

Hayashi, Keisuke (with Onishi, Kazuei) Alternating direction method for the externalHelmholtz equation. (English summary) (see 2003i:65005)

He, Yuhong see Zhong,HongzhiHeinrich, B. (with Pietsch, K.) Nitsche type mortaring for some elliptic problem withcorner singularities. (English summary) 2003d:65107

Henn, Stefan (withWitsch, Kristian) Iterativemultigrid regularization techniques forimage matching. (English summary) 2003f:65103

Hetmaniuk, Ulrich see Farhat, Charbel, 2003d:76124Hiptmair, R. see Borm, Steffen, 2003d:78042Hollig, Klaus Finite element methods with B-splines. 2003j:65001

Hon, Yiu-Chung see Zhou, Xu et al., 2003m:65217Hu, Qi Ya (with Liang, Guo Ping) Acceleration of the non-symmetrized two-leveliteration. (English summary) 2003e:65042

Huang, Jian Guo (with Zou, Jun) Construction of explicit extension operators on generalfinite element grids. (English summary) 2003m:65203see also Chen,Wen Bin et al., 2003k:65144

Iliev, Oleg P. On second-order-accurate discretization of 3D interface problems and its fastsolution with a pointwise multigrid solver. (English summary) 2003g:65136

Jimack, Peter K. (with Nadeem, Sarfraz A.) A weakly overlapping parallel domaindecomposition preconditioner for the finite element solution of convection-dominatedproblems in three dimensions. (English summary) (see 2003b:76005)see also Bank, Randolph E. et al., 2003f:65047

Kang, Kab Seok (with Kwak, Do Young) Convergence estimates for multigrid algorithmswith Kaczmarz smoothing. (English summary) (see 2003f:65005)

Karatson, Janos see Axelsson, Owe et al., 2003j:65025Klawonn, Axel (withWidlund, Olof B.; Dryja, Maksymilian) Dual-primal FETI methodsfor three-dimensional elliptic problems with heterogeneous coefficients. (Englishsummary) 2003g:65044

Kohut, R. see Blaheta, Radim et al., 2003d:65101Koko, Jonas An optimization-based domain decomposition method for a bonded structure.(English summary) 2003d:74009

Korneev, Vadim G. An almost optimal method for solving Dirichlet problems ondecomposition subdomains of the hierarchical hp-version. (Russian. Russian summary)2003e:65199

(with Flaherty, Joseph E.; Oden, J. Tinsley; Fish, Jacob) Additive Schwarz algorithmsfor solving hp-version finite element systems on triangular meshes. (English summary)2003m:65205

Kornhuber, Ralf Adaptive monotone multigrid methods for some non-smooth optimizationproblems. (see 2003f:65005)(with Krause, Rolf H.) Adaptive multigrid methods for Signorini’s problem in linearelasticity. (English summary) 2003h:74073

Krause, Rolf H. see Kornhuber, Ralf, 2003h:74073Krızkova, Jitka see Vanek, Petr et al., (2003f:65005)Kwak, Do Young see Kang, Kab Seok, (2003f:65005)Ladeveze, P. (with Nouy, A.; Loiseau, O.) A multiscale computational approach forcontact problems. (English summary) 2003k:74062

Lagnese, John E. (with Leugering, Gunter) Domain decomposition in optimal controlproblems for distributed parameter systems. (English summary) 2003j:49001

Lanteri, Stephane see Dolean, Victorita et al., 2003m:76122Lapin, A. V. Geometric convergence of iterativemethods for a problem withM -matricesand diagonal multivalued operators. (English summary) 2003e:65043

Lasser, Caroline (with Toselli, Andrea) Convergence of some two-level overlappingdomain decomposition preconditioners with smoothed aggregation coarse spaces.(English summary) (see 2003k:65167)

Leugering, Gunter see Lagnese, John E., 2003j:49001Li, Ji Chun see Zhou, Xu et al., 2003m:65217

Liang, Guo Ping see Hu, Qi Ya, 2003e:65042Ling, Shi Bo see Chen,Wen Bin et al., 2003k:65144Liu, Jia Qi see Han, Bo et al., 2003g:74081Loiseau, O. see Ladeveze, P. et al., 2003k:74062Lu, Hong-qiang (withWu, Yi-zhao; Chen, Song-can) A new method based on SOMnetwork to generate coarse meshes for overlapping unstructured multigrid algorithm.(English summary) 2003k:65163

Lube, Gert see Otto, F. C. et al., 2003a:65110Lui, S. H. On Schwarz alternating methods for the subsonic full potential equation.(English summary) 2003c:76075

Ma, Liming (with Chang, Qian Shun) Compensation method of an optimal-orderWilsonnonconforming multigrid. (see 2003f:65005)

Ma, Yi Chen see Ren, Chun FengMaday, Yvon see Achdou, Yves, 2003f:65186 and Ben Belgacem, Faker et al., 2003i:78019Malafeı, D. A. seeMazhukin,Vladimir I. et al., 2003h:65145Marcinkowski, Leszek A mortar element method for some discretizations of a plateproblem. (English summary) 2003m:65208

Matus, Petr P. seeMazhukin, Vladimir I. et al., 2003h:65145Mazhukin, Vladimir I. (withMalafeı, D. A.; Matus, Petr P.; Samarskiı, A. A.) Differenceschemes on nonuniform grids for equations of mathematical physics with variablecoefficients. (Russian. Russian summary) 2003h:65145

McDonough, James see Schueller, Albert W., (2003b:76005)Morin, Pedro (with Nochetto, Ricardo H.; Siebert, Kunibert G.) Convergence of adaptivefinite element methods. (English summary)

Muller, L. see Otto, F. C. et al., 2003a:65110Nadeem, Sarfraz A. see Bank, Randolph E. et al., 2003f:65047 and Jimack, Peter K.,(2003b:76005)

Nataf, Frederic see Dolean, Victorita et al., 2003m:76122

Nepomnyashchikh,Sergeı V. see Bank, RandolphE. et al., 2003f:65047Nochetto, Ricardo H. seeMorin, Pedro et al.

Nouy, A. see Ladeveze, P. et al., 2003k:74062Oden, J. Tinsley see Korneev,Vadim G. et al., 2003m:65205

O’Leary, Dianne P. see Elman, Howard C. et al., 2003b:65115


Onishi, Kazuei see Hayashi, Keisuke, (2003i:65005)Otto, F. C. (with Lube, Gert; Muller, L.) An iterative substructuring method for div-stablefinite element approximations of the Oseen problem. (English summary) 2003a:65110

Pasciak, Joseph E. (with Zhao, J.) Overlapping Schwarz methods inH (curl) on polyhedraldomains. (English summary) 2003j:65108

Pavarino, Luca F. see Goldfeld, Paulo et al., (2003k:65167)(Periaux, J.) see Domain decompositionmethods in sciences and engineering,2003f:65005Pietsch, K. see Heinrich, B., 2003d:65107Quarteroni, Alfio see Fatone, L. et al., 2003b:76041Rahman, T. see Feng, Xiaobing,2003d:74055Ren, Chun Feng (withMa, Yi Chen) A two-grid technique for the penalty method of thesteady Navier-Stokes equations. (English summary)

Reusken, Arnold Convergence analysis of a multigrid method for convection-diffusionequations. (English summary) 2003c:65106

Rochez, Jonathan (with Rodrigue, Garry) A multigrid upwind strategy for acceleratingsteady-state computations of waves propagating with curvature-dependent speeds.(English summary) 2003c:65088

Rodrigue,Garry see Rochez, Jonathan,2003c:65088Runborg,Olof see Engquist, Bjorn, 2003k:65180Sabil, Jalila see Bayada, Guy et al., 2003g:74066Sala,Marzio see Formaggia, Luca, (2003b:76005)Samarskiı, A. A. seeMazhukin, Vladimir I. et al., 2003h:65145Sarkis, Marcus Partition of unity coarse spaces and Schwarz methods with harmonicoverlap. (English summary) (see 2003k:65167)

Sassi, Taoufik see Bayada, Guy et al., 2003g:74066Savenkov,E. see Galanin, M., 2003e:65218Sayas, Francisco Javier see Celorrio, Ricardo et al., 2003g:35034Schueller, Albert W. (withMcDonough, James) A multilevel, parallel, domain decomposi-tion, finite-difference Poisson solver. (English summary) (see 2003b:76005)

Seshaiyer, Padmanabhan (with Smith, Philip Wesley) A non-conforming finite elementmethod for sub-meshing. (English summary) 2003k:65153

Shi, Zhong Ci (with Xie, Zhenghui) Substructure preconditioners for nonconforming plateelements. (see 2003f:65005)see also Domain decompositionmethods in sciences and engineering,2003f:65005

Shishkin, Grigorii I. see Tselishcheva, Irina V., (2003e:65003)Siebert, Kunibert G. seeMorin, Pedro et al.

Smith, Philip Wesley see Seshaiyer, Padmanabhan,2003k:65153Stefanica, Dan A numerical study of FETI algorithms for mortar finite element methods.(English summary) 2003e:65201

Steinbach,Olaf On a generalized L2 projection and some related stability estimates inSobolev spaces. (English summary) 2003a:65111

Sun, Le Lin see Chen, Jian Ye et al.

Sun,Wenyu see Han, D. R., 2003k:90070Suzuki, Atsushi Implementation of non-overlapping domain decomposition methods onparallel computer ADENA. (see 2003f:65005)

Tezaur, Radek see Vanek, Petr et al., (2003f:65005)Tidriri, Moulay D. Development and study of Newton-Krylov-Schwarz algorithms.(English summary) 2003d:65028

Toselli, Andrea see Lasser, Caroline, (2003k:65167)Tselishcheva, Irina V. (with Shishkin, Grigorii I.) A domain decomposition finite differencemethod for singularly perturbed elliptic equations in composed domains. (Englishsummary) (see 2003e:65003)

Valli, Alberto see Alonso Rodrıguez,Ana, (2003k:65167)Vanek, Petr (with Tezaur, Radek; Brezina, Marian; Krızkova, Jitka) Two-level methodwith coarse space size independent convergence. (see 2003f:65005)

Vassilevski, Panayot S. see Dobrev, Vesselin A., (2003e:65003)Widlund,Olof B. see Domain decomposition methods in sciences and engineering,

2003f:65005;Klawonn, Axel et al., 2003g:65044 and Goldfeld, Paulo et al., (2003k:65167)Witsch, Kristian see Henn, Stefan, 2003f:65103Wu, Yi-zhao see Lu, Hong-qiang et al., 2003k:65163Xie, Zhenghui see Shi, Zhong Ci, (2003f:65005)Xu, Di-hong see Chen, Jian Ye et al.Xu, Xue-jun see Chen, Jin-ru, 2003j:65113Zeng, Jin Ping (with Zhou, Shu Zi) A domain decomposition method for a kind ofoptimization problems. (English summary) 2003k:90067


Zhao, J. see Pasciak, Joseph E., 2003j:65108Zhong,Hongzhi (with He, Yuhong) A note on incorporation of domain decompositioninto the differential quadrature method. (English summary)

Zhou, Shu Zi see Zeng, Jin Ping, 2003k:90067Zhou, Xiaoyan see Han, Bo et al., 2003g:74081Zhou, Xu (with Hon, Yiu-Chung; Li, Ji Chun) Overlapping domain decompositionmethod by radial basis functions. (English summary) 2003m:65217

Zou, Jun see Cai, Xiao-Chuan,2003f:65049 and Huang, Jian Guo, 2003m:65203




Nonlinear problems in industry, domain decompositionmethods and numerical simulations Sangyo ue no hisenkei mondai to suchi shimyureshon to ryoiki bunkatsuho.(Japanese) [Nonlinear problems in industry, domain decomposition methods andnumerical simulations]

65N99 None of the above, but in this section

Aluru, N. R. see Li, Gang, 2003d:65118Alves, Carlos J. S. (with Chen, Ching Shyang; Saler, B.) The method of fundamentalsolutions for solving Poisson problems. (English summary) (see 2003i:65005)

Atluri, Satya N. (with Shen, Shengping) The meshless local Petrov-Galerkin (MLPG)method: a simple & less-costly alternative to the finite element and boundary elementmethods. (English summary) 2003a:65114

Badea, Lori (with Daripa, Prabir) A fast algorithm for two-dimensional elliptic problems.(English summary) 2003h:65171

Bercovier, Michel see Ricou,Olivier, 2003a:65115Chen, Ching Shyang see Golberg, M. A. et al., 2003k:65168 and Alves, Carlos J. S. et al.,(2003i:65005)

Cheng, A. H.-D. see Golberg, M. A. et al., 2003k:65168Cherruault, Yves see Khelifa, S., 2003i:65128Daripa, Prabir see Badea, Lori, 2003h:65171Didenko, V. D. Stability of a quadrature method for the biharmonic Dirichlet problem.(English summary) (see 2003a:00032)

Gladkaya, Yu. A. see Gladkiı, A. V., (2003e:00027)Gladkiı, A. V. (with Gladkaya, Yu. A.) On a numerical investigationof a control problemfor the wave equation. (Ukrainian. Ukrainian summary) (see 2003e:00027)

Golberg, M. A. (withMuleshkov, A. S.; Chen, Ching Shyang; Cheng, A. H.-D.) Polyno-mial particular solutions for certain partial differential operators. (English summary)2003k:65168

Henrot, Antoine see Jackowska-Strumillo,L. et al., 2003j:65131Ibiejugba,Matthew A. see Odekunle,M. R. et al., 2003m:65229Ikeda, Youichi see Kita, Eisuke et al., (2003i:65005)Jackowska-Strumillo,L. (with Sokołowski, Jan; Zochowski, Antoni; Henrot, Antoine) Onnumerical solution of shape inverse problems. (English summary) 2003j:65131

Kamiya, Norio see Kita, Eisuke et al., (2003i:65005)Khelifa, S. (with Cherruault, Yves) Biomedical and biocybernetics applications: thedecomposition method for solving first order partial differential equations. (Englishsummary) 2003i:65128

Kita, Eisuke (with Ikeda, Youichi; Kamiya,Norio) Solution of Poisson equation by Trefftzmethod. (English summary) (see 2003i:65005)

Kolpakov, A. G. A finite-dimensional conductivity model for densely packed particles.(Russian. Russian summary) 2003m:65228

Kovalev, O. V. see Vatul′yan, A. O. et al., 2003g:65157Kunishima, Wataru (with Tokihiro, Tetsuji; Tanaka, Hiroshi4) Error estimation ofrecursive orthogonal polynomial expansion method for large Hamiltonian system.(English summary) 2003i:65129

Li, Gang (with Aluru, N. R.) Boundary cloud method: a combined scatteredpoint/boundary integral approach for boundary-only analysis. (English summary)2003d:65118

Lin, Tzu-Chu (withWarnapala-Yehiya, Y.) The numerical solution of the exterior Dirichletproblem for Helmholtz’s equation via modified Green’s functions approach. (Englishsummary) 2003j:65132

Mattheij, R. M. M. see Nefedov, V. L., 2003e:65236Muleshkov, A. S. see Golberg, M. A. et al., 2003k:65168Nefedov, V. L. (withMattheij, R. M. M.) Local defect correction with different grid types.(English summary) 2003e:65236

Odekunle,M. R. Solution of boundary value problems by Lanczos-Legendre reductionmethod. (English summary) 2003g:65156(with Ibiejugba, Matthew A.; Onumanyi, P.) A posteriori error estimator for Lanczos-Chebyshev reduction method. (English summary) 2003m:65229

Onumanyi, P. see Odekunle,M. R. et al., 2003m:65229

Payne, Fred R. Hybrid Laplace and Poisson solvers. I. Dirichlet boundary conditions. (see2003a:00028)

Prokhur, Yurıı Z. see Velikoıvanenko, Ivan M. et al.

Ricou, Olivier (with Bercovier, Michel) A dimensional reduction of the Stokes problem.(English summary) 2003a:65115

Saler, B. see Alves, Carlos J. S. et al., (2003i:65005)Shen, Shengping see Atluri, Satya N., 2003a:65114Sklepoviı, Vıktor M. see Velikoıvanenko, Ivan M. et al.

Sokołowski, Jan see Jackowska-Strumillo,L. et al., 2003j:65131Soloviev, Arkadiy Nikolaevich see Vatul′yan,A. O. et al., 2003g:65157Tanaka, Hiroshi4 see Kunishima, Wataru et al., 2003i:65129Tokihiro, Tetsuji see Kunishima, Wataru et al., 2003i:65129Vatul′yan, A. O. (with Kovalev, O. V.; Soloviev, Arkadiy Nikolaevich) A new method ofboundary integral equations in boundary value problems for elliptic operators and itsnumerical realization. (Russian. English summary) 2003g:65157

Velikoıvanenko, Ivan M. (with Prokhur, Yurıı Z.; Sklepoviı, Vıktor M.) Numerical-analyticsolutions of some boundary value problems for elliptic differential equations withpiecewise-constant coefficients. (Ukrainian. English and Ukrainian summaries)

Warnapala-Yehiya, Y. see Lin, Tzu-Chu, 2003j:65132Zochowski, Antoni see Jackowska-Strumillo, L. et al., 2003j:65131

Items with secondary classifications in 65N99Athanassoulis, G. A. see Belibassakis, K. A., 2003g:76016Belibassakis, K. A. (with Athanassoulis, G. A.) Extension of second-order Stokes theoryto variable bathymetry. (English summary) 2003g:76016

Bonnet-Bendhia,Anne-Sophie (with Ramdani, Karim) Diffraction by an acoustic gratingperturbed by a bounded obstacle. (English summary) 2003d:78011

Chervov, V. V. Numerical modeling of three-dimensional convection problems in the Earth’smantle using a series of grids. (Russian. English summary) 2003f:86011

De Baerdemaeker, J. see Tijskens, E. et al., 2003h:35039Dimov, Ivan T. see Gurov, T. V. et al., (2003e:65003)Farmer, C. L. Upscaling: a review. (English summary)Fox, Bennett L. Filtering the Feynman-Kac formula. (English summary) 2003c:35016

Gahan, B. (withMiller, J. J. H.; Shishkin, Grigorii I.) Reynolds-uniform numericalmethod for Prandtl’s problem with suction-blowing based on Blasius’ approach. (Englishsummary) (see 2003e:65003)

Gilbert, Anna C. Multiresolution homogenization schemes for differential equations andapplications. (English summary) 2003b:35017

Goldner, Gavrila (with Trımbitas, Radu T.) A combined method for differential equations.


Greengard, Leslie F. (with Huang, Jingfang) A new version of the fast multipole methodfor screened Coulomb interactions in three dimensions. (English summary) 2003h:78014

Gurov, T. V. (withWhitlock, P. A.; Dimov, Ivan T.) A grid free Monte Carlo algorithm forsolving elliptic boundary value problems. (English summary) (see 2003e:65003)

Huang, Jingfang see Greengard, Leslie F., 2003h:78014Ikeda, Youichi see Kita, Eisuke et al., (2003e:65002)Kamiya, Norio see Kita, Eisuke et al., (2003e:65002)Katsuragawa, J. see Kita, Eisuke et al., (2003e:65002)Kinami, S. see Omata, Seiro

Kita, Eisuke (with Ikeda, Youichi; Katsuragawa, J.; Kamiya, Norio) Estimation ofboundary derivatives by Trefftz method and its application to sloshing phenomenon.(English summary) (see 2003e:65002)

Kobayashi, Shoichi see Yoshida, Ken-ichi3 et al., 2003c:74100(Kulman, Nikolai K.) see Ryaben′kii,Viktor S., 2003a:65004Lei, Jin Gan (with Sun, Le Lin) Approximate solutions for multivalued quasilinear ellipticdifferential equations. (Chinese. English and Chinese summaries) 2003e:35092

Miller, J. J. H. see Gahan, B. et al., (2003e:65003)Nakane, Kazuaki Numerical calculation of singularities for Ginzburg-Landau functionalswith a variable coefficient. (English summary)

Nishimura, Naoshi see Yoshida, Ken-ichi3 et al., 2003c:74100Omata, Seiro (with Kinami, S.) A numerical approach to the eikonal equation. (Englishsummary)

Ramdani, Karim see Bonnet-Bendhia,Anne-Sophie, 2003d:78011Ramon, H. see Tijskens, E. et al., 2003h:35039Roose, Dirk see Tijskens, E. et al., 2003h:35039Ryaben′kii,Viktor S. Method of difference potentials and its applications. (Englishsummary) 2003a:65004

Shishkin, Grigorii I. see Gahan, B. et al., (2003e:65003)Sun, Le Lin see Lei, Jin Gan, 2003e:35092Tijskens, E. (with Roose, Dirk; Ramon, H.; De Baerdemaeker, J.) Automatic differentia-tion for solving nonlinear partial differential equations: an efficient operator overloadingapproach. (English summary) 2003h:35039

Toll, S. A solution technique for longitudinal Stokes flow around multiple alignedcylinders. (English summary) 2003a:76045

Trımbitas, Radu T. see Goldner, Gavrila

Whitlock, P. A. see Gurov, T. V. et al., (2003e:65003)Wu, Bo Ying Analytical numerical solutions of a partial differential equation in areproducing kernel space. (Chinese. English summary) 2003a:35028

Yoshida,Ken-ichi3 (with Nishimura, Naoshi; Kobayashi, Shoichi) A new fast multipoleboundary integral equation method in elastostatic crack problems in 3D. (Englishsummary) 2003c:74100

65Pxx Numerical problems in dynamical systems[see also 37Mxx]

Items with secondary classifications in 65Pxx


65P10 Hamiltonian systems including symplectic integrators

Chen, Jing-Bo see Tang, Yi-Fa et al., 2003h:65172Fomel, S. (with Sethian, J. A.) Fast-phase space computation of multiple arrivals. (Englishsummary) 2003c:65140

Gortz, Peter Backward error analysis of symplectic integrators for linear separableHamiltonian systems. (English summary) 2003i:65130

Hairer, Ernst (with Lubich, Christian; Wanner, Gerhard) Geometric numericalintegration. (English summary) 2003f:65203

Huang, Lang Yang Leap-frog symplectic scheme constructed via function sinh(x) for therod vibration equation of fourth order. (Chinese. English and Chinese summaries)see also Zeng,Wen Ping et al., 2003h:65173

Laburta,M. P. Integration of Hamiltonian systems via RK methods of order 6. (Spanish.English summary) (see 2003a:00031)

Lubich, Christian see Hairer, Ernst et al., 2003f:65203Moga, Rodica Numerical methods for Hamiltonian systems. (Romanian. Romaniansummary)

Paliı, Yu. G. Correction of numerical integration as an optimal control problem. (Russian.Russian summary) 2003m:65230

Qin, Meng Zhao see Zeng, Wen Ping et al., 2003h:65173 andWang, Yu Shun, 2003m:65231

Sasa, Narimasa Symplectic numerical solutions to nonlinear wave systems and theirextensions. (Japanese)

Sethian, J. A. see Fomel, S., 2003c:65140Tang, Yi-Fa (with Xiao, Ai-Guo; Chen, Jing-Bo) Is the formal energy of the mid-point ruleconvergent? (English summary) 2003h:65172

see also Xiao, Ai-Guo, 2003m:65232Vetekha, V. G. Parameter continuation method for ordinary differential equations. (Englishsummary) (see 2003g:00024)

Wang, Yu Shun (with Qin, Meng Zhao) Multisymplectic schemes for the nonlinear Klein-Gordon equation. (English summary) 2003m:65231

Wanner, Gerhard see Hairer, Ernst et al., 2003f:65203Xiao, Ai-Guo (with Tang, Yi-Fa) Symplectic properties of multistep Runge-Kuttamethods. (English summary) 2003m:65232see also Tang, Yi-Fa et al., 2003h:65172

Zeng,Wen Ping (with Huang, Lang Yang; Qin, Meng Zhao) The multi-symplectic algo-rithm for “good” Boussinesq equation. (English and Chinese summaries) 2003h:65173

Items with secondary classifications in 65P10

Abdullaev,S. S. The Hamilton-Jacobimethod and Hamiltonian maps. (English summary)

2003h:37145

Blanes, Sergio (withMoan, P. C.) Practical symplectic partitioned Runge-Kutta andRunge-Kutta-Nystrommethods. (English summary) 2003c:37120

Bowman, John C. see Kotovych,Oksana, 2003k:70009Chen, Jing-Bo New schemes for the nonlinear Shrodinger equation. (English summary)[New schemes for the nonlinear Schrodinger equation] 2003j:65075

(with Qin, Meng Zhao; Tang, Yi-Fa) Symplectic and multi-symplecticmethods for thenonlinear Schrodinger equation. (English summary) 2003m:37134

Gheorghiu, Calin Ioan (withMuresan, Adrian) On the significance of integral properties oforbits in some superlinear fixed-period problems. (English summary) 2003i:34043

Hong, Jialin (with Qin, Meng Zhao) Multisymplecticity of the centred box discretizationfor Hamiltonian PDEs withm ≥ 2 space dimensions. (English summary) 2003g:37153

Huang, Lang Yang Symplectic schemes for a fourth-order rod vibration equation via thefunction tanh(x). (Chinese. English and Chinese summaries)

Islas, A. L. (with Karpeev, D. A.; Schober, C. M.) Geometric integrators for the nonlinearSchrodinger equation. (English summary) 2003e:65148

Karpeev, D. A. see Islas, A. L. et al., 2003e:65148Kotovych,Oksana (with Bowman, John C.) An exactly conservative integrator for the n-body problem. (English summary) 2003k:70009

Lewis, Debra (with Olver, Peter J.) Geometric integration algorithms on homogeneousmanifolds. (English summary) 2003g:37154

Liu, Tingting (with Qin, Meng Zhao) Multisymplectic geometry and multisymplecticPreissman scheme for the KP equation. (English summary) 2003d:37100

Maeda, Shigeru seeMiyahara,Mieko, 2003h:37146Mil′shteın, G. N. (with Repin, Yu. M.; Tret′yakov, Mikhail V.) Symplectic integration ofHamiltonian systems with additivenoise. (English summary) 2003e:37126

Miyahara,Mieko (withMaeda, Shigeru) On 3-stageRunge-Kutta methods which are bothsymplectic and symmetric. (English summary) 2003h:37146

Moan, P. C. see Blanes, Sergio, 2003c:37120Muresan, Adrian see Gheorghiu,Calin Ioan, 2003i:34043Olver, Peter J. see Lewis, Debra, 2003g:37154Pop, Camelia Geometrical and dynamical aspects of the Lie group H (4). (Englishsummary) 2003d:37151

Qin, Meng Zhao see Liu, Tingting, 2003d:37100;Hong, Jialin, 2003g:37153 and Chen, Jing-Bo et al., 2003m:37134

Regan, Helen M. Von Neumann stability analysis of symplectic integrators applied toHamiltonian PDEs. (English summary) 2003i:37093

Repin, Yu. M. seeMil′shteın, G. N. et al., 2003e:37126Schober, C. M. see Islas, A. L. et al., 2003e:65148Sun, Geng Structure-preserving algorithms for dynamical systems. (English summary)

2003i:37094Tanaka, Nobuatsu On Hamiltonian particle dynamics. (English summary) 2003a:37118

Tang, Yi-Fa A note on the construction of symplectic schemes for splitable HamiltonianH =H (1) +H (2) +H (3). (English summary) 2003h:37147

Symplectic computation of Hamiltonian systems. I. (English summary) 2003d:37145

see also Chen, Jing-Bo et al., 2003m:37134

Tret′yakov, Mikhail V. seeMil′shteın, G. N. et al., 2003e:37126

65P20 Numerical chaos


Adamopoulos,Miltiadis see Kofidis, Nikos et al., 2003d:37144Dieci, Luca Jacobian free computation of Lyapunov exponents. (English summary)

2003h:34106

Gelfreich, V. G. Numerics and exponential smallness. 2003k:37095

Huang, Jian Guo Chaotic iterativemethods by space decomposition and subspacecorrection. (see 2003f:65005)

Kofidis, Nikos (with Roumeliotis, Manos; Adamopoulos, Miltiadis) Chaotic propertiesof neural networks: chaotic response of RMS series and effects on the absolute errordistribution. (English summary) 2003d:37144

Roumeliotis,Manos see Kofidis, Nikos et al., 2003d:37144Wilczak, Daniel Computer assisted proof of chaotic dynamics in the Rossler map. (Englishsummary) 2003e:37127

Yang, ZhongHua1 (with Zhu, Ying) Numerical determination of symmetry-increasingbifurcation of chaotic attractors in a class of planarD3-equivariant mappings. (Chinese.English and Chinese summaries)

Youssef, Ahmed H. Some estimation properties of the random coefficients regression.(English summary) 2003c:65045

Zhu, Ying see Yang, ZhongHua1

65P30 Bifurcation problems

Baguet, S. (with Cochelin, B.) On the behaviour of the ANM continuation in the presenceof bifurcations. (English summary)

Bohmer, Klaus (with Janovska, Drahoslava; Janovsky, Vladimır) On the numericalanalysis of the imperfect bifurcation of codim ≤ 3. (English summary) 2003g:65158

(with Geiger, Ch.; Rodriguez, J. D.) On a numerical Liapunov-Schmidt spectral methodand its application to biological pattern formation. (English summary) 2003e:65237

Chen, Ke1 (with Hussein, Anwar; Wan, Hai-Bin) An analysis of Seydel’s test functionmethods for nonlinear power flow equations. (English summary) 2003g:65159

(with Hussein, Anwar; Wan, Hai-Bin) On a class of new and practical performanceindexes for approximation of fold bifurcations of nonlinear power flow equations.(English summary) 2003k:65169

Cochelin, B. see Baguet, S.

Du, Zhengdong (with Hassard, Brian) Precise computation of Hopf bifurcation and twoapplications. (English summary) 2003c:65141

Engelborghs, Koen (with Luzyanina, T.; Roose, Dirk) Numerical bifurcation analysis ofdelay differential equations using DDE-BIFTOOL. (English summary)

Geiger, Ch. see Bohmer, Klaus et al., 2003e:65237

65Q Difference and functional equations, recurrence relations1951 2003 65Q05

Hassard, Brian see Du, Zhengdong, 2003c:65141Hussein, Anwar see Chen, Ke1 et al., 2003g:65159and 2003k:65169Janovska, Drahoslava see Bohmer, Klaus et al., 2003g:65158Janovsky, Vladimır see Bohmer, Klaus et al., 2003g:65158Ji, Hai Bo Numerical methods for static and periodic bifurcation problems. (Englishsummary) 2003c:65142

Lust, Kurt Improved numerical Floquet multipliers. (English summary) 2003c:65143Luzyanina,T. see Engelborghs, Koen et al.

Pan, Zhuang Yuan (with Song, Ying Chun2) Calculation of symmetry-breaking bifurca-tion problems with two parameters. (Chinese. English and Chinese summaries)

Rodriguez, J. D. see Bohmer, Klaus et al., 2003e:65237Roose, Dirk see Engelborghs,Koen et al.Song, Ying Chun2 see Pan, Zhuang Yuan

Wan, Hai-Bin see Chen, Ke1 et al., 2003g:65159 and 2003k:65169

Ye, Rui Song A new approach for the computation of Hopf bifurcation points. (Chinese.English and Chinese summaries) 2003a:65116

Items with secondary classifications in 65P30Ampilova, N. B. Numerical methods for constructing periodic orbits in a neighborhoodof an invariant curve of a Hopf bifurcation. (Russian. English and Russian summaries)2003m:37135

Backer, Arnd see Dullin, Holger R., 2003h:37046Beyn, Wolf-Jurgen (with Champneys, Alan R.; Doedel, Eusebius; Govaerts, Willy;Kuznetsov, Yuriı Aleksandrovich; Sandstede, Bjorn) Numerical continuation, andcomputation of normal forms. 2003f:37160

Bode, M. (with Liehr, A. W.; Schenk, C. P.; Purwins, Hans-Georg) Interaction ofdissipative solitons: particle-like behaviour of localized structures in a three-componentreaction-diffusion system. (English summary) 2003c:35078a

(with Liehr, A. W.; Schenk, C. P.; Purwins, Hans-Georg) Erratum to: “Interaction ofdissipative solitons: particle-like behaviour of localized structures in a three-componentreaction-diffusion system”. 2003c:35078b

Boer, M. P. see Kooi, B. W. et al., 2003k:92019Bratus′, A. S. (with Khalin, A. L.) A method of searching for Andronov-Hopf bifurcationpoints. (Russian. Russian summary) 2003i:34102

Caraballo Garrido, Tomas (with Langa, Jose Antonio; Robinson, James Cooper) Astochastic pitchfork bifurcation in a reaction-diffusion equation. (English summary)2003a:60106

Champneys,Alan R. see Beyn, Wolf-Jurgen et al., 2003f:37160Chen, Luonan see Jing, Zhujun et al.

Cliffe, K. A. (with Spence, A.; Tavener, S. J.) The numerical analysis of bifurcationproblems with application to fluid mechanics. (English summary) 2003b:37125

Doedel, Eusebius see Beyn, Wolf-Jurgen et al., 2003f:37160Dullin, Holger R. (with Backer, Arnd) About ergodicity in the family of limacon billiards.(English summary) 2003h:37046

El-Bassiouny, A. F. Parametrically excited nonlinear systems: a comparison of twomethods. (English summary) 2003m:34123

Farkas, Gyula2 Conjugacy in the discretized fold bifurcation. (English summary)2003a:37119

Galias, Zbigniew Proving the existence of long periodic orbits in 1D maps using intervalNewton method and backward shooting. (English summary) 2003f:37063

Gervais, Jean-Jacques (with Sadiky, Hassan) A new steplength control for continuationwith the asymptotic numerical method. (English summary) 2003a:47126

Geum, YoungHee (with Kim, Young Ik) An improved computation of component centersin the degree-n bifurcation set. (English summary) 2003f:37077

(with Kim, Young Ik) A study on computation of component centers in the degree-nbifurcation set. (English summary) 2003m:37067

Govaerts, Willy see Beyn, Wolf-Jurgen et al., 2003f:37160Guckenheimer, John Numerical analysis of dynamical systems. 2003i:37001Higuera,Marıa (with Porter, Jeffrey; Knobloch, Edgar) Heteroclinic dynamics in thenonlocal parametrically driven nonlinear Schrodinger equation. (English summary)2003a:37112

Jing, Zhujun (withWang, Jinliang; Chen, Luonan) Computation of limit cycle via higherorder harmonic balance approximation and its application to a 3-bus power system.(English summary)

Khalin, A. L. see Bratus′, A. S., 2003i:34102Kim, Young Ik see Geum, YoungHee, 2003f:37077 and 2003m:37067Knobloch,Edgar seeHiguera, Marıa et al., 2003a:37112Kooi, B. W. (with Kuijper, L. D. J.; Boer, M. P.; Kooijman, S. A. L. M.) Numericalbifurcation analysis of a tri-trophic food web with omnivory. (English summary)2003k:92019

Kooijman, S. A. L. M. see Kooi, B. W. et al., 2003k:92019Kuijper, L. D. J. see Kooi, B. W. et al., 2003k:92019Kuznetsov, Yuriı Aleksandrovich see Beyn, Wolf-Jurgen et al., 2003f:37160Langa, Jose Antonio see Caraballo Garrido, Tomas et al., 2003a:60106Liehr, A. W. see Bode, M. et al., 2003c:35078aand 2003c:35078b

Lopez, Juan M. see SanchezUmbrıa, Juan Jose et al., 2003d:76126Marques, Francisco see SanchezUmbrıa, Juan Jose et al., 2003d:76126Porter, Jeffrey see Higuera, Marıa et al., 2003a:37112Purwins, Hans-Georg see Bode, M. et al., 2003c:35078a and 2003c:35078bRobinson, James Cooper see Caraballo Garrido, Tomas et al., 2003a:60106Sadiky,Hassan see Gervais, Jean-Jacques,2003a:47126SanchezUmbrıa, Juan Jose (withMarques, Francisco; Lopez, Juan M.) A continuationand bifurcation technique for Navier-Stokes flows. (English summary) 2003d:76126

Sandstede, Bjorn see Beyn, Wolf-Jurgen et al., 2003f:37160Schenk, C. P. see Bode, M. et al., 2003c:35078a and 2003c:35078b

Sidorov, Nikolaı Aleksandrovich Parametrizationof simple branching solutions of full rankand iterations in nonlinear analysis. (Russian) 2003a:47123

Spence,A. see Cliffe, K. A. et al., 2003b:37125Su, Yi seeWu, Wei1, 2003c:37074Tang, Yun see Yasir, Kamal H., 2003k:65084

Tavener, S. J. see Cliffe, K. A. et al., 2003b:37125Thiffeault, Jean-Luc Derivatives and constraints in chaotic flows: asymptotic behaviourand a numerical method. (English summary) 2003k:37031

Tiesinga, G. (withWubs, F. W.; Veldman, A. E. P.) Bifurcation analysis of incompressibleflow in a driven cavity by the Newton-Picardmethod. (English summary) 2003h:76071

Tsuchiya, Takuya Finite element approximations of parametrized strongly nonlinearboundary value problems. (English summary) 2003h:47129

Veldman, A. E. P. see Tiesinga, G. et al., 2003h:76071Wang, He-yuan Bifurcation solution branches and its numerical analysis of a semi-linearelliptic problem. (English summary) 2003g:34040

Wang, Jinliang see Jing, Zhujun et al.

Wu, Wei1 (with Su, Yi) Hopf bifurcation near a double singular point with Z2-symmetryand X0-breaking. (English summary) 2003c:37074

Wubs, F. W. see Tiesinga, G. et al., 2003h:76071Yang, ZhongHua1 (with Zhu, Ying) Numerical determination of symmetry-increasingbifurcation of chaotic attractors in a class of planarD3-equivariant mappings. (Chinese.English and Chinese summaries)

Yasir, Kamal H. (with Tang, Yun) Computation of the singularity induced bifurcationpoints in DAEs via extended system reduction. (English summary) 2003k:65084

Ye, Rui Song A splitting iteration method for detecting Takens-Bogdanov bifurcationpoints. (Chinese. English and Chinese summaries) 2003f:58027

Zhu, Ying see Yang, ZhongHua1

65P40 Nonlinear stabilities

Deng, Xiao Yan (with Tian, Li Xin; Xu, Gang) Numerical analysis of longtime dynamicbehavior of the mKdV-Burgers equation. (Chinese. English and Chinese summaries)

Efrem, Raluca Numerical methods for locating closed orbits. (English summary)2003k:65170

Plaza S., Sergio Conjugacies classes of some numerical methods. (English summary)2003a:65117

Solis, Francisco Javier Local adaptiveGalerkin bases. (English summary)Tian, Li Xin see Deng, Xiao Yan et al.

Xu, Gang see Deng, Xiao Yan et al.


Ashimov, A. A. (with Sakabekov, A. S.; Borovskiı, Yu. V.; Volobueva, O. P.) On algorithmsfor investigating the attractors of dynamical systems. (Russian)

Borovskiı, Yu. V. see Ashimov, A. A. et al.

Engelborghs, Koen see Samaey, Giovanni et al., 2003g:34155Farkas, Gyula2 Discretizing hyperbolic periodic orbits of delay differential equations.(English summary) 2003k:34124

Hu, Zong Yi see Yin, Zhi Yun

McKenna, P. J. (withMoore, K. S.) The global structure of periodic solutions to asuspension bridge mechanicalmodel. (English summary) 2003i:34099

Moore, K. S. seeMcKenna, P. J., 2003i:34099Robinson, James Cooper Stability of random attractors under perturbation and approxima-tion. (English summary) 2003k:37078

Roose, Dirk see Samaey, Giovanni et al., 2003g:34155Sakabekov, A. S. see Ashimov, A. A. et al.

Samaey, Giovanni (with Engelborghs, Koen; Roose, Dirk) Numerical computation ofconnecting orbits in delay differential equations. (English summary) 2003g:34155

Tucker, Warwick Computing accurate Poincare maps. (English summary) 2003h:37149

Volobueva,O. P. see Ashimov, A. A. et al.

Yin, Zhi Yun (with Hu, Zong Yi) Development of the Lindstedt [ ] function. (Chinese.English and Chinese summaries)

65P99 None of the above, but in this section

Barton, Paul I. see Tolsma, John E., 2003k:65171Tolsma, John E. (with Barton, Paul I.) Hidden discontinuities and parametric sensitivitycalculations. (English summary) 2003k:65171


von Bremen, Hubertus F. see Udwadia, Firdaus E.

Dellnitz, Michael (with Junge, Oliver) Set oriented numerical methods for dynamicalsystems. 2003f:37161

Dieci, Luca (with Van Vleck, Erik S.) Lyapunov spectral intervals: theory and computa-tion. (English summary) 2003h:34107

Junge, Oliver see Dellnitz, Michael, 2003f:37161Sabatini,M. (with Trussoni, L. G.) Localizing attractors via a generalized La Salleprinciple. (English summary) 2003m:37025

Trussoni, L. G. see Sabatini,M., 2003m:37025

Udwadia, Firdaus E. (with von Bremen, Hubertus F.) Erratum: “Computation ofLyapunov characteristic exponents for continuous dynamical systems” [Z. Angew.Math.Phys. 53 (2002), no. 1, 123–146;MR 2002m:34074].

Van Vleck, Erik S. see Dieci, Luca, 2003h:34107

65Q05 Difference and functional equations, recurrencerelations

Gao, Min (with Kato, Yasuyuki; Ito, Masaaki) Calculation of the conserved quantity forrational difference equations through REDUCE. (Japanese)

Ito, Masaaki see Gao, Min et al.

Kato, Yasuyuki see Gao, Min et al.

Wu, Shu Jin (with Zhang, Shu Nian) Stability of difference systems with finite delay.(English and Chinese summaries) 2003d:65119

Zhang, Shu Nian seeWu, Shu Jin, 2003d:65119

NUMERICAL ANALYSIS65Q05 2003 1952

Items with secondary classifications in 65Q05


Bi, Ning (with Huang, Da Ren; Zhang, Ze Yin) On parametric factorization of bi-orthogonal Laurent polynomial wavelet filters. (English summary) 2003h:42054

Deng, Xing Hua see Zhang, Bing Gen, 2003a:39006Dorodnitsyn, Vladimir Noether-type theorems for difference equations. (English summary)

2003a:39015

Edwards, John T. (with Ford, Neville J.) Boundedness and stability of solutions todifference equations. (English summary) 2003h:39008


Farkas, Gyula2 A Hartman-Grobman result for retarded functional differential equationswith an application to the numerics around hyperbolic equilibria. (English summary)2003c:34120

Ford, Neville J. see Edwards, John T., 2003h:39008Gilmour, Robert F., Jr. see Stubna,Michael D. et al., 2003m:39024

Gohberg, Israel (with Kaashoek, Marinus A.; van Schagen, F.) Finite section method fordifference equations. (English summary) 2003b:39005

Huang, Da Ren see Bi, Ning et al., 2003h:42054Kaashoek,Marinus A. see Gohberg, Israel et al., 2003b:39005Lewanowicz, Stanisław Recurrences for the coefficients of series expansions with respect toclassical orthogonal polynomials. (English summary) 2003d:33017

Li, Wan Tong Classification schemes for nonoscillatory solutions of two-dimensionalnonlinear difference systems. (English summary) 2003a:39009

Luo, Jiao Wan Oscillation criteria for second-order quasi-linear neutral differenceequations. (English summary) 2003f:39042

Mickens, Ronald E. Asymptotic solutions to a discrete Airy equation. (English summary)2003g:39016

Rand, Richard H. see Stubna,Michael D. et al., 2003m:39024

Roose, Dirk see Engelborghs,Koen, 2003e:65106van Schagen,F. see Gohberg, Israel et al., 2003b:39005Serban, Marcel-Adrian Iterativemethods for some functional-differential equations.(English summary) 2003a:34103

Stubna,Michael D. (with Rand, Richard H.; Gilmour, Robert F., Jr.) Analysis of a non-linear partial difference equation, and its application to cardiac dynamics. (Englishsummary) 2003m:39024

Tang, Xian Hua Asymptotic behavior of solutions for neutral difference equations. (Englishsummary) 2003f:39027

Bounded oscillation of second-order delay difference equations of unstable type. (Englishsummary) 2003j:39009

Zhang, Bing Gen (with Deng, Xing Hua) The stability of certain partial differenceequations. (English summary) 2003a:39006

Zhang, Ze Yin see Bi, Ning et al., 2003h:42054

65Rxx Integral equations, integral transforms

65R10 Integral transforms

Ahues,Mario (with Titaud, Olivier) Spectral approximation of weakly singular integrablekernels using projections. 2003g:65160

Baxter, B. J. C. (with Roussos, George) A new error estimate of the fast Gauss transform.(English summary) 2003h:65174

Capobianco,M. R. (with Criscuolo, Giuliana; Giova, R.) A stable and convergentalgorithm to evaluateHilbert transform. (English summary) 2003b:65134

Criscuolo, Giuliana see Capobianco,M. R. et al., 2003b:65134D’Amore, Luisa (withMurli, Almerico) Regularization of a Fourier series method for theLaplace transform inversion with real data. (English summary) 2003i:65131

De Marchi, Stefano (with Vianello, Marco) Approximating the approximant: a numericalcode for polynomial compression of discrete integral operators. (English summary)2003b:65135

Donolato,C. Analytical and numerical inversion of the Laplace-Carson transform by adifferential method. (English summary) 2003b:65136

Dragomir, N. M. (with Dragomir, Sever Silvestru; Farrell, Peter) Approximating the finiteHilbert transform via trapezoid type inequalities. (English summary) 2003e:65238

Dragomir, Sever Silvestru see Dragomir, N. M. et al., 2003e:65238Farrell, Peter see Dragomir, N. M. et al., 2003e:65238Giova, R. see Capobianco,M. R. et al., 2003b:65134Helleloid, Geir T. see King, Frederick W. et al., 2003c:65144Iqbal,Mohammad1 Bayesian regularization of numerical inversion of Mellin transform.(English summary) 2003e:65239

The numerical inversion of the Laplace transform in reproducing kernel Hilbert spaces ofill-posed problems. (English summary) 2003i:65132

King, Frederick W. (with Smethells, Gregory J.; Helleloid, Geir T.; Pelzl, Paul J.)Numerical evaluation of Hilbert transforms for oscillatory functions: a convergenceaccelerator approach. (English summary) 2003c:65144

Mastroianni,Giuseppe (withMonegato, G.) Numerical solution of Mellin type equationsvia Wiener-Hopf equations. (English summary) 2003i:65133

Monegato, G. seeMastroianni,Giuseppe, 2003i:65133Murli, Almerico see D’Amore, Luisa, 2003i:65131Pelzl, Paul J. see King, Frederick W. et al., 2003c:65144Prokhorov, I. V. Determination of the boundary surface between media from X-raytomography data. (Russian. Russian summary) 2003j:65133

Roussos, George see Baxter, B. J. C., 2003h:65174Smethells, Gregory J. see King, Frederick W. et al., 2003c:65144Tagliani,Aldo Numerical inversion of Laplace transform on the real line from expectedvalues. (English summary) 2003h:65175

Titaud,Olivier see Ahues, Mario, 2003g:65160

Vianello,Marco see De Marchi, Stefano, 2003b:65135

Items with secondary classifications in 65R10

Alexandris, Nikos see Girtis, KonstantinosG. et al.

Al-Shuaibi, Abdulaziz Inversion of the Laplace transform via Post-Widder formula.(English summary) 2003d:44001

Anikonov, D. S. (with Prokhorov, I. V.) Necessary and sufficient conditions for theuniqueness of the solution of a problem in tomography. (Russian. Russian summary)2003j:44006

Bladt, Mogens (withMeini, Beatrice; Neuts, Marcel F.; Sericola, Bruno) Distributions ofreward functions on continuous-time Markov chains. (English summary) 2003d:60147

Blanc, J. P. C. Computation of autocorrelations of interdeparture times by numericaltransform inversion. (English summary)On the numerical inversion of busy-period related transforms. (English summary)2003b:90020

Crouzet, Jean-Francois Radon transform over cones and related deconvolution problems.(English summary) 2003c:44003

De Bonis, M. C. (with Della Vecchia, Biancamaria; Mastroianni, Giuseppe) Approxima-tion of the Hilbert transform on the real line using Hermite zeros. (English summary)2003e:42019

Della Vecchia, Biancamaria see De Bonis, M. C. et al., 2003e:42019Demkin, A. M. see Khovanskiı, A. V., 2003c:44004Diethelm, Kai Erratum to: “Error bounds for spline-based quadrature methods for stronglysingular integrals” [J. Comput. Appl. Math. 89 (1998), no. 2, 257–261;MR 99e:65037].2003f:65038

Du, Jin Yuan seeWang, Jin Ping, 2003c:44005Girtis, KonstantinosG. (with Tsihrintzis, George A.; Alexandris, Nikos) Diffractiontomography of periodically time-varying scatterers. (English summary)

Heyman, D. Numerical methods in queueing theory. (see 2003m:60005)Ibraghimov, Ilghiz Application of the three-way decomposition for matrix compression.(English summary) 2003j:65028

Iqbal, Mohammad1 Deconvolution and regularization for numerical solutions of incorrectlyposed problems. (English summary) 2003m:65243

Kanungo, Tapas seeMount, David M. et al., 2003c:94003Katsevich, Alexander Microlocal analysis of an FBP algorithm for truncated spiral conebeam data. (English summary) 2003e:44003Theoretically exact filtered backprojection-type inversion algorithm for spiral CT.(English summary) 2003f:92024

Khovanskiı, A. V. (with Demkin, A. M.) Block-cyclic inversion methods in computertomography. (Russian. English and Russian summaries) 2003c:44004

Litvin, O. N. (withMıkhalkın, V. V.) An error estimate for the solution of a planeproblem of computer tomography using piecewise-constant splines. (Ukrainian. Englishsummary) 2003m:44003

Lubich, Christian (with Schadle, Achim) Fast convolution for nonreflecting boundaryconditions. (English summary) 2003h:44007

Mastroianni, Giuseppe see De Bonis, M. C. et al., 2003e:42019Matveeva, T. A. (with Ryabov, V. M.) Some properties of quadrature formulas for theLaplace transform numerical inversion. (English summary) 2003m:65032

Meini, Beatrice see Bladt, Mogens et al., 2003d:60147Mıkhalkın, V. V. see Litvin, O. N., 2003m:44003

Mount, David M. (with Kanungo, Tapas; Netanyahu, Nathan S.; Piatko, Christine;Silverman, Ruth; Wu, Angela Y.) Approximating large convolutions in digital images.(English summary) 2003c:94003

Netanyahu,Nathan S. seeMount, David M. et al., 2003c:94003Neuts, Marcel F. see Bladt,Mogens et al., 2003d:60147Novikov, Roman G. An inversion formula for the attenuatedX-ray transformation. (Englishsummary) 2003k:44004

Piatko, Christine seeMount, David M. et al., 2003c:94003Prokhorov, I. V. see Anikonov, D. S., 2003j:44006Ryabov, V. M. seeMatveeva, T. A., 2003m:65032

Schadle, Achim see Lubich, Christian, 2003h:44007Sericola, Bruno see Bladt, Mogens et al., 2003d:60147Silverman, Ruth seeMount, David M. et al., 2003c:94003Smolders, S. M. P. (with Urbach, H. P.) On the determination of dopant-concentrationprofiles by grazing emission X-ray fluorescence spectroscopy using the maximum-entropymethod. (English summary)

Tsihrintzis, George A. see Girtis, KonstantinosG. et al.

Urbach, H. P. see Smolders, S. M. P.Wang, Jin Ping (with Du, Jin Yuan) Some estimate results of the Radon transform.(English and Chinese summaries) 2003c:44005

Wu, Angela Y. seeMount, David M. et al., 2003c:94003

65R20 Integral equations

Abdel-Aziz,Mohammedi R. see El-Sayed, Salah M., 2003j:65135Abou El-seoud, A. A. M. (with El-Kady, M. M.; El-Ameen, M. A.) On approximatesolution of Hammerstein integral equations in the space Lp (p ≥ 1). (English summary)2003m:65233

Akesbi, S. (withMaitre, Emmanuel) Theoretical and numerical analysis of a minimalresidual solver for 2D Boltzmann transport equation. (English summary) 2003k:65172

Aliabadi,M. Hosseini (with Shahmorad, S.) A matrix formulation of the tau methodfor Fredholm and Volterra linear integro-differential equations. (English summary)2003e:65240


Babolian, E. (with Biazar, J.) Solution of a system of linear Volterra equations byAdomian decomposition method. (English summary) 2003f:65204

(with Biazar, J.) Solving concrete examples by Adomian method. (English summary)Bandurin, N. G. A new numerical method of order n for solving integrodifferentialequations of general form. (Russian. English summary) 2003j:65134

65R Integral equations, integral transforms1953 2003 65R20

Basarab, M. O. see Kravchenko, V. F., 2003j:65137Bertram, Barbara S. (with Cheng, Haiyan) On the use of the conjugate gradient methodfor the numerical solution of first-kind integral equations in two variables. (see2003a:00028)see also Cheng,Haiyan, (2003a:00028)

Biazar, J. see Babolian, E., 2003f:65204Boıkov, I. V. (with Kudryashova, N. Yu.) Approximate methods for solving singularintegral equations in exceptional cases. (Russian. Russian summary) 2003b:65138

Brunner, Hermann (with Hu, Qi Ya; Lin, Qun1) Geometric meshes in collocation methodsfor Volterra integral equations with proportional delays. (English summary) 2003f:65205

Cao, Thang Adaptive-additivemultilevelmethods for hypersingular integral equation.(English summary) 2003m:65234

Carstensen, Carsten (with Rynne, Bryan P.) A posteriori error control for finite elementapproximations of the integral equation for thin wire antennas. (English summary)2003c:65145

Celorrio, Ricardo (with Sayas, Francisco Javier) The collocation method for periodicintegral equations of the second kind. (English summary) 2003c:65146

(with Domınguez, Vıctor; Sayas, Francisco Javier) Periodic Dirac delta distributions inthe boundary element method. (English summary) 2003h:65176

Chan, Chi Fai seeChan, Raymond H. et al., 2003c:65147Chan, Raymond H. (with Lin, Fu Rong; Chan, Chi Fai) A fast solver for Fredholmequations of the second kind with weakly singular kernels. (English summary)2003c:65147

Chandler-Wilde,Simon N. (with Rahman,Mizanur; Ross, Christopher R.) A fast two-gridand finite section method for a class of integral equations on the real line with applicationto an acoustic scattering problem in the half-plane. (English summary) 2003h:65177

Chapko, Roman The numerical solution of an evolution problem of second order in time ona closed smooth boundary. (English summary) 2003e:65241

Chen, Yu5 A fast, direct algorithm for the Lippmann-Schwinger integral equation in twodimensions. (English summary) 2003b:65139

Chen, Zhongying (withMicchelli, Charles A.; Xu, Yuesheng) Fast collocation methods forsecond kind integral equations. (English summary) 2003f:65206

Cheng,Haiyan (with Bertram, Barbara S.) On the stopping criteria for conjugate gradientsolutions of first-kind integral equations in two variables. (see 2003a:00028)see also Bertram, Barbara S., (2003a:00028)

Christiansen, Snorre H. (with Nedelec, Jean-Claude) A preconditioner for the electric fieldintegral equation based on Calderon formulas. (English summary) 2003m:65235

Cibotaru,Tudor Approximate solution of integral equations of the third kind. (Romanian.Romanian summary)

Cui, Ming Gen see Li, Chun Li


Davies, Penny J. see Zubik-Kowal, Barbara, 2003c:65151Didenko, V. D. (with Silbermann, Bernd) On stability of approximation methods for theMuskhelishvili equation. (English summary) 2003h:65178

Diogo, Teresa see Lima, P. M., 2003i:65138Dobner, Hans-Jurgen Kernel-splitting technique for enclosing the solution of Fredholmequations of the first kind. (English summary) 2003m:65236

Domınguez, Vıctor see Celorrio, Ricardo et al., 2003h:65176Dreyfuss, P. (with Rappaz, J.) Numerical analysis of a non-singular boundary integralmethod. II. The general case. (English summary) 2003b:65140

Duszczyk, Bernard (with Newell, Michael P.; Sugden, Stephen J.) Numerical methodsfor solving the eigenvalue problem for a positive branch confocal unstable resonator.(English summary)

El-Ameen, M. A. see Abou El-seoud, A. A. M. et al., 2003m:65233

El-Kady, M. M. see Abou El-seoud, A. A. M. et al., 2003m:65233El-Sayed, SalahM. (with Abdel-Aziz, Mohammedi R.) A comparison of Adomian’sdecomposition method and wavelet-Galerkinmethod for solving integro-differentialequations. (English summary) 2003j:65135

Ermolaeva, L. B. Solution of integral equations by the subdomain method. (Russian)2003i:65134

Evans, David John1 see Salama, A. A., 2003a:65119Fagnani, Fabio (with Pandolfi, Luciano) A recursive algorithm for the approximatesolution of Volterra integral equations of the first kind of convolution type. (Englishsummary) 2003m:65237

Fedotov,A. I. On convergence of quadrature-differencesmethod for linear singular integro-differential equations on the interval. 2003b:65141

Gabbasov, N. S. New versions of spline methods for a class of integro-differential equations.(Russian. Russian summary) 2003j:65136

Gabdulkhaev, B. G. Solution of operator and integral equations by the Bogolyubov-Krylovmethod. (Russian) 2003k:65174

Graham, I. G. (with Sloan, Ian H.) Fully discrete spectral boundary integral methods forHelmholtz problems on smooth closed surfaces in R

3. (English summary) 2003h:65179Hacia, Lechosław Projection methods for integral equations in epidemic. (English andLithuanian summaries)Methods for the approximate solution of certain types of integral equations andinequalities and their applications. (Polish. English and Polish summaries) 2003i:65135

Hackbusch,Wolfgang Direct integration of the Newton potential over cubes. (Englishsummary) 2003d:65120

Hansen,Olaf On the stability of the collocation method for the radiosity equation onpolyhedral domains. (English summary) 2003g:65161

Horvat, Vilmos (with Rogina, Mladen) Tension spline collocation methods for singularlyperturbed Volterra integro-differential and Volterra integral equations. (Englishsummary) 2003h:65180

Hosseini, S. Mohammad (with Shahmorad, S.) Numerical solution of a class of integro-differential equations by the tau method with an error estimation. (English summary)2003i:65136

Hu, Qi Ya see Brunner, Hermann et al., 2003f:65205Hurlimann,Martin D. see Venkataramanan,Lalitha et al., 2003i:65141Junghanns,Peter (withMuller, Katja; Rost, Karla) On collocation methods for nonlinear

Cauchy singular integral equations. (English summary) 2003h:65181

(with Rathsfeld, Andreas) A polynomial collocation method for Cauchy singularintegral equations over the interval. (English summary) 2003i:65137

(with Rathsfeld, Andreas) On polynomial collocation for Cauchy singular integralequations with fixed singularities. (English summary) 2003c:65148

Kaneko, Hideaki (with Padilla, Peter A.; Xu, Yuesheng) Superconvergence of the iterateddegenerate kernel method. (English summary) 2003f:65207

Kangro, Raul (with Pallav, Rene; Pedas, Arvet) Quadratic spline collocation method forweakly singular integral equations. (English and Estonian summaries) 2003d:65121

Khudyaev,S. I. (with Koınova, L. V.) An approximate solution of an equation of V. A.Ambartsumyan. (Russian. English and Russian summaries) 2003a:65118

Kiguradze, Z. Finite difference scheme for a nonlinear integro-differential system. (Englishsummary) 2003h:65182

Koınova, L. V. see Khudyaev,S. I., 2003a:65118Koto, Toshiyuki Stability analysis of numerical methods for delay integro-differentialequations. (English summary)

Kravchenko, V. F. (with Basarab, M. O.) Approximation by atomic functions, andnumerical methods for solving Fredholm integral equations of the second kind. (Russian.Russian summary) 2003j:65137

Kristalinskii, V. R. About the approximate solution of the usual and generalized Hilbertboundary value problems for analytical functions. (English and Lithuanian summaries)2003c:65149

Krylov, A. S. (with Lyakishev, A. V.) A modification of the projection method for integralequation of the first kind. (English summary) 2003d:65122

Kudryashova, N. Yu. see Boıkov, I. V., 2003b:65138Kythe, Prem K. (with Puri, Pratap) Computational methods for linear integralequations. (English summary) 2003e:65242

Li, Chun Li (with Cui, Ming Gen) A method for solving a system of Volterra-Fredholmintegral equations. (Chinese. English and Chinese summaries)

Li, Xiaoan see Liu, Jinghong

Liang, Xue Zhang (with Liu, Ming-cai) Wavelet-Galerkinmethods for second kindintegral equations. (English summary) 2003b:65142

Lifanov, I. K. (with Piven′, V. F.; Stavtsev, S. L.) Mathematicalmodelling of the three-dimensional boundary value problem of the discharge of the well system in a homoge-neous layer. (English summary) 2003f:65208

see also Zakharov, E. V. et al., 2003k:65177Lifanov, P. I. see Zakharov, E. V. et al., 2003k:65177Lima, P. M. (with Diogo, Teresa) Numerical solution of a nonuniquely solvable Volterraintegral equation using extrapolation methods. (English summary) 2003i:65138

Lin, Fu Rong see Chan, Raymond H. et al., 2003c:65147Lin, Qun1 see Brunner, Hermann et al., 2003f:65205Lin, Yan-ping see Zhang, Tie et al., 2003h:65184Liu, Jinghong (with Li, Xiaoan) The extrapolationmethod for the Galerkin solution of thePoisson integral equation. (English and Chinese summaries)

Liu, Li Ping2 see Liu, Tang et al., 2003i:65139Liu, Ming-cai see Liang, Xue Zhang, 2003b:65142Liu, Tang (with Liu, Li Ping2; Rao, Ming; Zhang, Shu Hua3) Global superconvergenceanalysis inW 1,∞-norm for Galerkin finite element methods of integro-differential andrelated equations. (English summary) 2003i:65139

Lyakishev, A. V. see Krylov, A. S., 2003d:65122Ma, Wan (withWang, Xing Hua1) Optimization of approximate solution of integralequations of several variables. (English summary) 2003i:65140

Mahmoudi, Y. seeMaleknejad, K. et al., 2003k:65175Maitre, Emmanuel see Akesbi, S., 2003k:65172Maleknejad, K. (with Tavassoli Kajani, M.; Mahmoudi, Y.) Numerical solution of linearFredholm and Volterra integral equation of the second kind by using Legendre wavelets.(English and Persian summaries) 2003k:65175

Mechenov, A. S. Variational problems for the construction of pseudosolutions of linearintegral equations. (English summary) 2003e:65243

Micchelli, Charles A. see Chen, Zhongying et al., 2003f:65206Miclaus, Anca The Newton method for integral equations of Hammerstein type. (Englishsummary) 2003m:65238

Muller, Katja see Junghanns,Peter et al., 2003h:65181Nedelec, Jean-Claude see Christiansen, Snorre H., 2003m:65235

Newell, Michael P. see Duszczyk, Bernard et al.Ngarhasta, N. (with Some, B.) Quelques nouvelles formes canoniques de la methodedecompositionnelle applicables aux equations integrales de premiere espece. (Frenchsummary) [Some new canonical forms of the decomposition method applied to integralequations of the first kind] 2003g:65162

Padilla, Peter A. see Kaneko,Hideaki et al., 2003f:65207Pallav, Rene (with Pedas, Arvet) Quadratic spline collocation method for weakly singularintegral equations and corresponding eigenvalue problem. (English and Lithuaniansummaries) 2003m:65239

Quadratic spline collocation method for weakly singular integral equations on gradedgrids. (English and Estonian summaries) 2003k:65176

see also Kangro, Raul et al., 2003d:65121Pandolfi, Luciano see Fagnani, Fabio, 2003m:65237Pedas, Arvet On the solution of weakly singular integral equations by the subdomainmethod. (Russian) (see 2003b:00025)Polynomial spline collocation method for nonlinear two-dimensional weakly singularintegral equations. (see 2003c:00021)Polynomial spline collocation method for nonlinear two-dimensional weakly singularintegral equations. 2003c:65150

(with Timak, E.) The cubic spline collocation method for solving weakly singularintegral equations. (Russian. Russian summary) 2003j:65138

see also Kangro, Raul et al., 2003d:65121and Pallav, Rene, 2003m:65239

Piven′, V. F. see Lifanov, I. K. et al., 2003f:65208Popescu, Ileana The solution of an integral equation via Monte Carlo simulation. (Englishsummary) 2003m:65240

Puri, Pratap see Kythe, Prem K., 2003e:65242

NUMERICAL ANALYSIS65R20 2003 1954

Racu, Vladimir On convergence in Holder spaces of splin-collocation and splin cuadraturesmethods for solving weakly-singular integral equations of second order. [On convergencein Holder spaces of spline-collocation and spline quadrature methods for solving weakly-singular integral equations of second order]

Rahman,Mizanur see Chandler-Wilde, Simon N. et al., 2003h:65177Rao, Ming see Liu, Tang et al., 2003i:65139Rappaz, J. see Dreyfuss, P., 2003b:65140Rathsfeld,Andreas see Junghanns, Peter, 2003c:65148 and 2003i:65137Rogina,Mladen see Horvat, Vilmos, 2003h:65180Ross, ChristopherR. see Chandler-Wilde,Simon N. et al., 2003h:65177Rost, Karla see Junghanns,Peter et al., 2003h:65181Rynne, Bryan P. see Carstensen, Carsten, 2003c:65145Salama, A. A. (with Evans, David John1) Fourth order scheme of exponential typefor singularly perturbed Volterra integro-differential equations. (English summary)2003a:65119

Samoılova, E. N. Spline approximations of the solution of a singular integro-differentialequation. (Russian) 2003e:65244

Sanikidze, J. On error estimate of the modified scheme of the discrete rotations method.Sayas, Francisco Javier see Celorrio, Ricardo et al., 2003c:65146 and 2003h:65176

Scuderi, L. A Chebyshev polynomial collocation BIEM for mixed boundary valueproblems on nonsmooth boundaries. (English summary) 2003m:65241

Seiciuc, Vladislav On reduction method for solving nonlinear singular integral equationsand their system.

Shahmorad, S. see Aliabadi,M. Hosseini, 2003e:65240 and Hosseini, S. Mohammad,2003i:65136

Shen, Long Jun see Shen, Zhi Jun et al., 2003h:65183Shen, Zhi Jun (with Yuan, Guang Wei; Shen, Long Jun) Error analysis of somedifference schemes for solving discrete ordinates equations. (Chinese. English summary)2003h:65183

Silbermann, Bernd see Didenko, V. D., 2003h:65178Sloan, Ian H. see Graham, I. G., 2003h:65179Some, B. see Ngarhasta, N., 2003g:65162Song, Yi-Qiao see Venkataramanan,Lalitha et al., 2003i:65141Stavtsev,S. L. see Lifanov, I. K. et al., 2003f:65208Sugden,Stephen J. see Duszczyk, Bernard et al.

Tait, Robert J. seeZhang, Tie et al., 2003h:65184Tarasov, R. P. see Zagorodnov, I. A., 2003b:65144Tavassoli Kajani, M. seeMaleknejad,K. et al., 2003k:65175Timak, E. see Pedas, Arvet, 2003j:65138Venkataramanan,Lalitha (with Song, Yi-Qiao; Hurlimann, Martin D.) Solving Fredholmintegrals of the first kind with tensor product structure in 2 and 2.5 dimensions. (Englishsummary) 2003i:65141

Wang, Xing Hua1 seeMa, Wan, 2003i:65140Wazwaz, Abdul-Majid A reliable treatment for mixed Volterra-Fredholm integral equations.(English summary) 2003a:65120

Weber, Uwe Weighted polynomial approximation methods for Cauchy singular integralequations in the non-periodic case. (English summary) 2003b:65143

Xu, Da Uniform L1 error bounds for the semidiscrete solution of a Volterra equation withcompletely monotonic convolution kernel. (English summary) 2003e:65245

Xu, Yuesheng see Chen, Zhongying et al., 2003f:65206 and Kaneko, Hideaki et al.,2003f:65207

Yuan, Guang Wei see Shen, Zhi Jun et al., 2003h:65183Zagorodnov, I. A. (with Tarasov, R. P.) Boundary integral equations of the first and secondkind in the numerical solution of problems of diffraction by polygons near resonances ofthe interior domain. (Russian. Russian summary) 2003b:65144

Zakharov, E. V. (with Lifanov, I. K.; Lifanov, P. I.) Investigation of some hypersingularintegral equations on a sphere. (Russian. Russian summary) 2003k:65177

Zhang, Shu Hua3 see Liu, Tang et al., 2003i:65139Zhang, Tie (with Lin, Yan-ping; Tait, Robert J.) On the finite volume element versionof Ritz-Volterra projection and applications to related equations. (English summary)2003h:65184

Zubik-Kowal,Barbara (with Davies, Penny J.) Numerical approximation of time domainelectromagnetic scattering from a thin wire. (English summary) 2003c:65151



(with D’Almeida, F.; Largillier, Alain; Titaud, Olivier; Vasconcelos, P.) An L1 refinedprojection approximate solution of the radiation transfer equation in stellar atmospheres.(English summary) 2003e:85001

Aliev, Rafik A. (withMusaev, B. I.) A new constructivemethod of solving of singularintegral equations. (English and Azerbaijani summaries)

Andonowati see Tam, K. Kuen et al., 2003m:45011

Atluri, Satya N. see Han, Z. D.Attia, Gamal M. (withNour, H. M.) A suggested integral equation technique for nth orderinitial value problem. (English summary) 2003h:65079

Audounet, Jacques (with Roquejoffre, Jean-Michel; Rouzaud, Helene) Numericalsimulation of a point-source initiated flame ball with heat losses. (English summary)2003c:80008

Avsyankin,O. G. On an application of the projection method to paired integral operatorswith homogeneous kernels. (Russian) 2003k:45003

Babolian, E. see Biazar, J. et al., 2003k:45011Belingeri, C. (with Germano, B.) Numerical approximation of eigenvalues for transversevibrations of a wedge-shaped beam. (English and Georgian summaries) 2003e:65202

Berggren, Karl-Fredrik see Knisevskaja, L. et al.

Berryman, James G. Analysis of approximate inverses in tomography. I. Resolution analysisof common inverses. (English summary) 2003i:65051a

Biazar, J. (with Babolian, E.; Islam, Rafiqul M.) Solution of a system of Volterra integralequations of the first kind by Adomian method. (English summary) 2003k:45011

Borm, Steffen see Hackbusch,Wolfgang

Caus, V. A. Numerical solution of Volterra delay integro-differential equations by splinefunction. (English summary) 2003d:65056

Chapko, Roman On the numerical solution of the Dirichlet initial boundary-value problemfor the heat equation in the case of a torus. (English summary) 2003g:65126

Crouzeix, Michel (with Feat, Philippe; Sayas, Francisco Javier) Theoretical and numericalstudy of a free boundary problem by boundary integral methods. (English summary)2003c:35163


D’Almeida, F. see Ahues, Mario et al., 2003e:85001De Marchi, Stefano (with Vianello, Marco) Approximating the approximant: a numericalcode for polynomial compression of discrete integral operators. (English summary)2003b:65135

DeSanto, J. (with Erdmann, G.; Hereman, W.; Misra, Manavendra) Theoreticaland computational aspects of scattering from periodic surfaces: one-dimensionaltransmission interface. (English summary) 2003a:78005

Eıdel′man, Yu. S. (with Gohberg, Israel) Algorithms for inversion of diagonal plussemiseparable operator matrices. (English summary) 2003h:47018

ElSheikh, M. G. see Gavdzinskiı, V. N. et al., 2003f:45012Elster, Ch. see Liu, Hang et al., 2003g:81283Engelson, V. see Knisevskaja, L. et al.Erdmann, G. see DeSanto, J. et al., 2003a:78005Ergin, A. Arif see Jiao, Dan et al.

Faermann, Birgit Localization of the Aronszajn-Slobodeckij norm and application toadaptive boundary element methods. II. The three-dimensional case. (English summary)2003i:65120

Fan, Chia-Ming (with Young, Der-Liang) Analysis of the 2D Stokes flows by the non-singular boundary integral equation method. (English summary) 2003i:76025

Fang, Gen Sun seeMa, Wan, 2003m:45017Feat, Philippe see Crouzeix,Michel et al., 2003c:35163Fedotov, A. I. On the asymptotic convergence of the polynomial collocation method forsingular integral equations and periodic pseudodifferential equations. (English summary)2003d:65114

Galimyanov, A. F. On direct methods for solving integral equations with logarithmicallyweakened Cauchy kernels on open curves. (Russian) 2003h:45003

Gavdzinskiı, V. N. (with ElSheikh, M. G.; Maltseva, E. V.) On the justification ofapproximate unbounded solutions of mixed plane boundary value problems. (Englishsummary) 2003f:45012

Geigant, Edith Nichtlineare Integro-Differential-Gleichungen zur Modellierung inter-aktiverMusterbildungsprozesse auf S1. (German) [Nonlinear integro-differential equa-tions for the modelling of interactivepattern formation processes on S1] 2003j:35313

Germano, B. see Belingeri, C., 2003e:65202Glockle, Walter see Liu, Hang et al., 2003g:81283Gnaneshwar, N. see Kulkarni, Rekha P., 2003e:65203Gohberg, Israel see Eıdel′man, Yu. S., 2003h:47018Gotz, Thomas On collocation schemes for integral equations arising in slender-bodyapproximations of flow past particles with circular cross-section. (English summary)2003e:76088

Gu, Y. T. see Liu, Gui-Rong, (2003i:65005)Hackbusch, Wolfgang (with Borm, Steffen) H 2-matrix approximation of integraloperators by interpolation. (English summary)

Haider, Mansoor A. (with Shipman, Stephen P.; Venakides, Stephanos) Boundary-integralcalculations of two-dimensional electromagnetic scattering in infinite photonic crystalslabs: channel defects and resonances. (English summary) 2003k:78016

Han, Z. D. (with Atluri, Satya N.) On simple formulations of weakly-singular traction &displacement BIE, and their solutions through Petrov-Galerkin approaches. (Englishsummary)

He, Yinnian Coupling boundary integral and finite element methods for the Oseen coupledproblem. (English summary) 2003i:76026

Hendi, F. A. see Sharaf,M. A., 2003c:45004Hereman, W. see DeSanto, J. et al., 2003a:78005Heuer, Norbert (withMellado, M. E.; Stephan, Ernst P.) hp-adaptive two-levelmethodsfor boundary integral equations on curves. (English summary) 2003c:65136

Hochmuth, Reinhard Restricted nonlinear approximation and singular solutions ofboundary integral equations. (English summary) 2003e:41028


Islam, Rafiqul M. see Biazar, J. et al., 2003k:45011Ivanov, V. M. (with Kul′chitskiı, O. Yu.; Korenevskiı, M. L.) A combined method forsolving integral equations. (Russian. English and Russian summaries) 2003a:45008

Jiao, Dan (with Ergin, A. Arif; Shanker, Balasubramaniam;Michielssen, Eric; Jin, Jian-Ming) A fast higher-order time-domain finite element-boundary integralmethod for 3-D electromagnetic scattering analysis. (English summary)

Jin, Jian-Ming see Jiao, Dan et al.Khaı, M. V. see Stankevich,V. Z.

Kiang, M. T. see Tam, K. Kuen et al., 2003m:45011

Knapek, S. (with Koster, F.) Integral operators on sparse grids. (English summary)2003e:42054

Knisevskaja, L. (with Engelson, V.; Berggren, Karl-Fredrik) Singular integral equationsmethod for computations of the scattering characteristics of a model heart exposed toelectromagnetic radiation. (English summary)

Kohr, Mirela A direct boundary integral formulation for a Stokes flow problem. (Englishsummary) 2003a:76035

Korenevskiı, M. L. see Ivanov, V. M. et al., 2003a:45008Kostenko, T. A. (with Stetsenko, V. Ya.) Some iterativemethods for solutions of equationsof the second kind. (Russian. Russian summary) 2003i:47011

Koster, F. see Knapek, S., 2003e:42054Koto, Toshiyuki Stability of Runge-Kutta methods for delay integro-differential equations.(English summary) 2003f:65127

Kropinski, M. C. A. Numerical methods for multiple inviscid interfaces in creeping flows.

65T Numerical methods in Fourier analysis1955 2003 65Txx

(English summary) 2003c:76089

Kul′chitskiı, O. Yu. see Ivanov, V. M. et al., 2003a:45008Kulkarni, Rekha P. (with Gnaneshwar, N.) Spectral approximation using iterated discreteGalerkin method. (English summary) 2003e:65203

Largillier, Alain (with Titaud, Olivier) Product integration quadratures for the radiativetransfer problem with Hopf ’s kernel. (see 2003a:00028)see also Ahues,Mario et al., 2003e:47039 and 2003e:85001

Limaye, Balmohan V. see Ahues,Mario et al., 2003e:47039Lin, Tzu-Chu (withWarnapala-Yehiya, Y.) The numerical solution of the exterior Dirichletproblem for Helmholtz’s equation via modified Green’s functions approach. (Englishsummary) 2003j:65132

Liu, Gui-Rong (with Gu, Y. T.) Boundary meshfree methods based on the boundary pointinterpolation methods. (English summary) (see 2003i:65005)

Liu, Hang (with Elster, Ch.; Glockle, Walter) Numerical implementation of three-bodyforces in bound state Faddeev calculations in three dimensions. (English summary)2003g:81283

Ma, Wan (with Fang, Gen Sun) The ε-complexity of the approximate solution of integralequations with isotropic kernels. (English summary) 2003m:45017

Maltseva, E. V. see Gavdzinskiı, V. N. et al., 2003f:45012

Mellado,M. E. see Heuer, Norbert et al., 2003c:65136Michielssen, Eric see Jiao, Dan et al.

Mihaila, Bogdan (with Shaw, Ruth E.) Parallel algorithm with spectral convergence fornonlinear integro-differential equations. (English summary) 2003g:65093

Misra, Manavendra see DeSanto, J. et al., 2003a:78005Musaev, B. I. seeAliev, Rafik A.

Naghsh-Nilchi, Ahmad Reza see Stenger, Frank et al., 2003m:35013

Nair, Pradeepa (with Pani, Amiya K.) Finite element approximations to an evolutionaryvariational inequality with a Volterra term. (English summary) 2003k:65123

Niebsch, Jenny see Stenger, Frank et al., 2003m:35013

Nordtvedt, J.-E. see Subbey, Sam, 2003h:65044

Nour, H. M. see Attia, Gamal M., 2003h:65079Oja, Peeter (with Tarang, M.) Stability of piecewise polynomial collocation for Volterraintegro-differential equations. (English and Lithuanian summaries) 2003b:65079

Pani, Amiya K. see Nair, Pradeepa, 2003k:65123Peradze, D. G. Jacobi nonlinear iteration method for a discrete Kirchhoff system. (Englishand Georgian summaries) 2003c:65095

Plato, Robert (with Vainikko, Gennadi) The fast solution of periodic integral andpseudodifferential equations by GMRES. (English summary) 2003f:65099

Prokhorov, I. V. Determination of the boundary surface between media from X-raytomography data. (Russian. Russian summary) 2003j:65133

Rakhimov, I. K. Projection methods for solving the singular integral Theodorsen equation.(Russian) 2003k:45004

Ramlau, Ronny see Stenger, Frank et al., 2003m:35013

Rathsfeld,Andreas see Hsiao, George C., 2003e:76100Roch, Steffen Algebras of approximation sequences: Fredholmness. (English summary)

2003f:47126

Algebras of approximation sequences: Fredholm theory in fractal algebras. (Englishsummary) 2003d:47105

Roquejoffre, Jean-Michel see Audounet, Jacques et al., 2003c:80008Rouzaud,Helene see Audounet, Jacques et al., 2003c:80008Sayas, Francisco Javier see Crouzeix, Michel et al., 2003c:35163Shanker, Balasubramaniam see Jiao, Dan et al.

Sharaf,M. A. (with Hendi, F. A.) Power series solutions of linear integral equations of thesecond kind using Jacobi polynomials expansion for their kernels. (English and Arabicsummaries) 2003c:45004

Shaw, Ruth E. seeMihaila, Bogdan, 2003g:65093Shipman, StephenP. see Haider, Mansoor A. et al., 2003k:78016Sladek, J. (with Sladek, V.) A meshless local boundary integral equation method inthermoelasticity. (English summary) (see 2003e:65002)

Sladek, V. see Sladek, J., (2003e:65002)Sloan, Ian H. Qualocation. (English summary) 2003b:65127

Stankevich, V. Z. (with Khaı, M. V.) On the solution of some two-dimensional hypersingu-lar integral equations by integration. (Ukrainian. English, Russian and Ukrainian sum-maries)

Stenger, Frank (with Naghsh-Nilchi, Ahmad Reza; Niebsch, Jenny; Ramlau, Ronny)Sampling methods for approximate solution of PDE. (English summary) 2003m:35013

Stephan,Ernst P. see Heuer, Norbert et al., 2003c:65136Stetsenko,V. Ya. see Kostenko,T. A., 2003i:47011Subbey, Sam (with Nordtvedt, J.-E.) Capillary pressure curves from centrifuge data: asemi-iterative approach. (English summary) 2003h:65044

Sukhorol′s′kiı,M. A. Generalized boundary integral equations in the theory of Timo-shenko shells. (Ukrainian. English, Russian and Ukrainian summaries)

Tam, K. Kuen (with Andonowati; Kiang, M. T.) Sequential eigenfunction expansion forcertain nonlinear Hammerstein equations. 2003m:45011

Tarang,M. see Oja, Peeter, 2003b:65079Tausch, Johannes Multiwavelets for geometrically complicated domains and theirapplication to boundary element methods. 2003f:65198

Titaud,Olivier see Ahues, Mario et al., 2003e:85001and Largillier, Alain, (2003a:00028)Vainikko, Gennadi see Plato, Robert, 2003f:65099Vasconcelos,P. see Ahues, Mario et al., 2003e:85001Venakides, Stephanos see Haider, Mansoor A. et al., 2003k:78016

Vianello,Marco see De Marchi, Stefano, 2003b:65135Warnapala-Yehiya, Y. see Lin, Tzu-Chu, 2003j:65132Xu, Zheng Fu (with Zhang, Ping Wen) Stability of boundary integral methods for waterwaves. (Chinese. English summary)

Young,Der-Liang see Fan, Chia-Ming, 2003i:76025

Yun, Beong In The indirect boundary integral method for curved cracks in plane elasticity.(English summary) 2003h:74066

Zhang, Ping Wen see Xu, Zheng Fu

65R30 Improperly posed problems

Bertram, Barbara S. see Hilgers, JohnW. et al., 2003g:65163Beylkin, Gregory (with Cramer, Robert) A multiresolution approach to regularization ofsingular operators and fast summation. (English summary) 2003h:65185

Bulatov, M. V. Regularization of degenerate systems of Volterra integral equations.(Russian. Russian summary) 2003h:65186

Cramer, Robert see Beylkin, Gregory, 2003h:65185Gzyl, Henryk Tomographic reconstruction by maximum entropy in the mean: uncon-strained reconstructions. (English summary) 2003d:65123

Hilgers, JohnW. (with Bertram, Barbara S.; Reynolds, William R.) Use of cross-referencing for solving the parameter choice problem in generalized CLS. 2003g:65163

Nair, M. Thamban Optimal order results for a class of regularizationmethods usingunbounded operators. (English summary) 2003f:65209

Pereverzev, Sergei V. (with Schock, Eberhard) The finite-section approximation for ill-posed integral equations on the half-line. (English summary) 2003m:65242

Reynolds,William R. see Hilgers, John W. et al., 2003g:65163Scherzer, Otmar Explicit versus implicit relative error regularization on the space offunctions of bounded variation. (English summary) 2003j:65139

Schock, Eberhard see Pereverzev, Sergei V., 2003m:65242

Shen, Xiaoping A. (withWalter, Gilbert G.) Meyer wavelet regularization. (Englishsummary) 2003d:65124

Walter, Gilbert G. see Shen, Xiaoping A., 2003d:65124


Aime, Claude see Lanteri, Henri et al.

Altpeter, Iris (with Becker, Rainer; Dobmann, Gerd; Kern, Rolf; Theiner, Werner; Yashan,Andreij) Robust solutions of inverse problems in electromagnetic non-destructiveevaluation. (English summary)

Becker, Rainer see Altpeter, Iris et al.

Champier, Sylvie (with Grammont, Laurence) A wavelet-vagueletmethod for unfoldingsphere size distributions. (English summary) 2003a:65124

Dobmann, Gerd see Altpeter, Iris et al.

Grammont, Laurence see Champier, Sylvie, 2003a:65124Hansen, Per Christian Deconvolution and regularizationwith Toeplitz matrices. (Englishsummary) 2003f:65072

Iqbal, Mohammad1 Bayesian regularization of numerical inversion of Mellin transform.(English summary) 2003e:65239

The numerical inversion of the Laplace transform in reproducing kernel Hilbert spaces ofill-posed problems. (English summary) 2003i:65132

Deconvolution and regularization for numerical solutions of incorrectly posed problems.(English summary) 2003m:65243

Kaltenbacher, Barbara (with Schicho, Josef) A multi-grid method with a priori and aposteriori level choice for the regularization of nonlinear ill-posed problems. (Englishsummary) 2003h:65076

Kern, Rolf see Altpeter, Iris et al.

Lanteri, Henri (with Roche, Muriel; Aime, Claude) Penalized maximum likelihood imagerestoration with positivity constraints: multiplicative algorithms. (English summary)

Mechenov, A. S. Variational problems for the construction of pseudosolutions of linearintegral equations. (English summary) 2003e:65243

Roche, Muriel see Lanteri, Henri et al.Schicho, Josef see Kaltenbacher, Barbara, 2003h:65076Theiner, Werner see Altpeter, Iris et al.

Yashan, Andreij see Altpeter, Iris et al.

65R32 Inverse problems

Bardsley, J. M. see Gilles, Luc et al., 2003a:65121Gilles, Luc (with Vogel, Curtis R.; Bardsley, J. M.) Computational methods for a large-scale inverse problem arising in atmospheric optics. (English summary) 2003a:65121

Iqbal, Mohammad1 Deconvolution and regularization for numerical solutions of incorrectlyposed problems. (English summary) 2003m:65243

Vogel, Curtis R. see Gilles, Luc et al., 2003a:65121


Abubakar, Aria (with van den Berg, Peter M.) The contrast source inversion method forlocation and shape reconstructions. (English summary) 2003d:78017

(Banks, H. T.) see Vogel, Curtis R., 2003i:65004van den Berg, Peter M. see Abubakar, Aria, 2003d:78017Colombo, Fabrizio (with Guidetti, Davide) A unified approach to nonlinear integro-differential inverse problems of parabolic type. (English summary) 2003g:35222

Guidetti, Davide see Colombo, Fabrizio, 2003g:35222Mair, B. A. (with Zahnen, J. A.) Mathematical models for 2D positron emissiontomography. (English summary) 2003m:92039

Prokhorov, I. V. Determination of the boundary surface between media from X-raytomography data. (Russian. Russian summary) 2003j:65133

Savenko, P. O. Numerical solution of inverse problems in the theory of the synthesisof radiating systems based on a given power directional diagram. (Russian. Russiansummary) 2003j:78040

Vogel, Curtis R. Computational methods for inverse problems. (English summary)2003i:65004

Zahnen, J. A. seeMair, B. A., 2003m:92039

65S05 Graphical methods

65Txx Numerical methods in Fourier analysis

NUMERICAL ANALYSIS65T40 2003 1956

65T40 Trigonometric approximation and interpolation

Boyd, John Philip A comparison of numerical algorithms for Fourier extension of the first,second, and third kinds. (English summary) 2003e:65246

Wu, Xiao Qin C 3-continuous shape-preserving interpolation trigonometric spline curves.(Chinese. English and Chinese summaries)

Items with secondary classifications in 65T40

Aliyev, A. Y. (withMamedov, Y. C.) Effective truncation error of discrete Fourier methodfor nonlocal Dirichlet problem. (English and Azerbaijani summaries)

Han, Bin2 The initial functions in a cascade algorithm. (English summary) 2003i:42051Mamedov, Y. C. see Aliyev, A. Y.

Qian, Shu (with Xu, Meng Jie) A high-speed sampling theorem. (Chinese. English andChinese summaries) 2003j:94037

Tadmor, Eitan (with Tanner, Jared) Adaptive mollifiers for high resolution recovery ofpiecewise smooth data from its spectral information. (English summary) 2003b:42009

Tanner, Jared see Tadmor, Eitan, 2003b:42009Xu, Meng Jie see Qian, Shu, 2003j:94037

65T50 Discrete and fast Fourier transforms

Aliev, M. V. (with Chicheva, M. A.) Algorithms for the two-dimensional DFT with datarepresentation in the algebra of hypercomplex numbers. (Russian) 2003h:65187

Anderson, J. A. D. W. (with Sweby, Peter K.) Exact computation in numerical linearalgebra: the discrete Fourier transform. (English summary) (see 2003j:65004)

Astola, Jaakko see Labunets-Rundblad,Ekaterina et al., 2003j:65141Bi, Guoan see Zeng, Yonghonget al., 2003a:65123;2003c:65152 and 2003f:65211

Bozzo, E. (with Fasino, Dario; Menchi, O.) Componentwise conditioning of the DFT.(English summary) 2003i:65142

Chen, Ying-Jui see Oraintara, Soontorn et al., 2003f:65210Cheng, Li Zhi (with Jiang, Zengrong; Zhang, Zhenhui) The generalized unified com-putation of multidimensional discrete orthogonal transforms. (English summary)2003d:65125

Chicheva,M. A. see Aliev, M. V., 2003h:65187Diab, Chaouki (with Oueidat, Mohammad; Prost, Remy) A new IDCT-DFT relationshipreducing the IDCT computational cost. (English summary) 2003j:65140

Drouiche, Karim A new efficient computational algorithm for bit reversal mapping.(English summary) 2003e:65247

Egiazarian, Karen see Labunets-Rundblad,Ekaterina et al., 2003j:65141Fasino, Dario see Bozzo, E. et al., 2003i:65142Grigoryan, A. M. Efficient algorithms for computing the 2-D hexagonal Fourier trans-forms. (English summary) 2003k:65178

Gronchi, G. F. On the stationary points of the squared distance between two ellipses with acommon focus. (English summary) 2003g:65164

Guo, Zhaoli (with Shi, Bao Chang; Wang, Neng Chao) Two new FCT algorithms based onproduct system. (English summary) 2003a:65122

Jiang, Zengrong see Cheng, Li Zhi et al., 2003d:65125Kot, Alex C. see Zeng, Yonghong et al., 2003c:65152Labunets, V. G. see Labunets-Rundblad,Ekaterina et al., 2003j:65141Labunets-Rundblad,Ekaterina (with Labunets, V. G.; Astola, Jaakko; Egiazarian, Karen)Fast algorithms of multidimensional discrete nonseparableK -wave transforms. (Englishsummary) 2003j:65141

Lin, Zhi Ping see Zeng, Yonghonget al., 2003a:65123 and 2003f:65211Masharskiı, S. M. The fast Vilenkin-Chrestenson transform based on Good’s factorization.(Russian. Russian summary) 2003k:65179

Menchi, O. see Bozzo, E. et al., 2003i:65142Nguyen, Truong Q. see Oraintara, Soontorn et al., 2003f:65210Oraintara, Soontorn (with Chen, Ying-Jui; Nguyen, Truong Q.) Integer fast Fouriertransform. (English summary) 2003f:65210

Oueidat,Mohammad see Diab, Chaouki et al., 2003j:65140Potts, Daniel (with Steidl, Gabriele; Tasche, Manfred) Fast Fourier transforms fornonequispaced data: a tutorial. (English summary) (see 2003a:94003)

Prost, Remy see Diab, Chaouki et al., 2003j:65140Seguel, Jaime A unified treatment of compact symmetric FFT code generation. (Englishsummary) 2003i:65143

Shi, Bao Chang see Guo, Zhaoli et al., 2003a:65122Steidl, Gabriele see Potts, Daniel et al., (2003a:94003)Sweby, Peter K. see Anderson, J. A. D. W., (2003j:65004)Takahashi, Daisuke2 A parallel 1-D FFT algorithm for the Hitachi SR8000. (Englishsummary)

Tasche,Manfred see Potts, Daniel et al., (2003a:94003)Wang,Neng Chao see Guo, Zhaoli et al., 2003a:65122Zeng, Yonghong (with Bi, Guoan; Kot, Alex C.) Combined polynomial transform andradix-q algorithm for MD discreteW transform. (English summary) 2003c:65152

(with Bi, Guoan; Lin, Zhi Ping) Lifting factorization of discreteW transform. (Englishsummary) 2003f:65211

(with Bi, Guoan; Lin, Zhi Ping) Combined polynomial transform and radix-q algorithmfor multi-dimensional DCT-III. (English summary) 2003a:65123

Zhang, Zhenhui see Cheng, Li Zhi et al., 2003d:65125

Items with secondary classifications in 65T50Bagchi, Sonali (withMitra, Sanjit K.) The nonuniform discrete Fourier transform.(English summary) (see 2003a:94028)

Britanak, Vladimir (with Rao, Kamisetty Ramamohan) A unified fast MDCT/MDSTcomputation in the evenly stacked analysis/synthesis system. (English summary)

Brown, CalumMichael (with Dreyer, Wolfgang; Muller, W. H.) Discrete Fouriertransforms and their application to stress-strain problems in composite mechanics: aconvergence study. (English summary) 2003f:74018

Bulow, Thomas see Felsberg,Michael et al., (2003m:68003)Cariolaro, Gianfranco (with Erseghe, Tomaso; Kraniauskas, Peter) The fractional discretecosine transform. (English summary) 2003e:94016

Cheng, Li Zhi (withWang, Zheng Ming; Zhang, Zhenhui) Fast unified computation of themulti-dimensional discrete sinusoidal transforms. (English summary) 2003m:94019

(with Zeng, Yonghong) Multidimensional polynomial transform algorithm formultidimensional discrete Hartley transform. (English summary) 2003d:94015

Chernov, Vladimir M. see Felsberg,Michael et al., (2003m:68003)Davies, Robert B. Integrated processes and the discrete cosine transform. (Englishsummary) 2003d:62184

Dempster, M. A. H. (with Hong, S. S. G.) Spread option valuation and the fast Fouriertransform. (English summary) (see 2003i:91001)

Dreyer, Wolfgang see Brown, Calum Michael et al., 2003f:74018Erseghe, Tomaso see Cariolaro, Gianfranco et al., 2003e:94016Fan, Pingyi (with Xia, Xiang-Gen) Two modified discrete chirp Fourier transformschemes. (English summary) 2003d:94017

Felsberg, Michael (with Bulow, Thomas; Sommer, Gerald; Chernov, Vladimir M.) Fastalgorithms of hypercomplex Fourier transforms. (see 2003m:68003)

He, Cheng Yuan seeWang, Zheng HuaHong, S. S. G. see Dempster, M. A. H., (2003i:91001)Kraniauskas, Peter see Cariolaro, Gianfranco et al., 2003e:94016Lai, Ming-Chih (withWang, Wei-Cheng) Fast direct solvers for Poisson equation on 2Dpolar and spherical geometries. (English summary) 2003e:65191

Mastorakis, Nikos E. (with Swamy, M. N. S.) Spectral transformations for two-dimensional filters via FFT. (English summary) 2003f:94017

Meidl, Wilfried (with Niederreiter, Harald) Linear complexity, k-error linear complexity,and the discrete Fourier transform. (English summary) 2003f:94068

Mitra, Sanjit K. see Bagchi, Sonali, (2003a:94028)Muller, W. H. see Brown, Calum Michael et al., 2003f:74018Niederreiter, Harald seeMeidl, Wilfried, 2003f:94068Pei, Soo-Chang see Yeh, Min-Hung

Percival, Colin Rapid multiplication modulo the sum and difference of highly compositenumbers. (English summary) 2003i:11183

Phillips, George N., Jr. seeWu, Zhijun et al., 2003a:90041Potts, Daniel (with Steidl, Gabriele) Fourier reconstruction of functions from theirnonstandard sampled Radon transform. (English summary) 2003h:44003

Rao, Kamisetty Ramamohan see Britanak, VladimirRen, De Bin see Sun, Qi et al.

Schipp, Ferenc Fast Fourier transform for rational systems. (English summary)2003f:42045

Sommer, Gerald see Felsberg,Michael et al., (2003m:68003)Steidl, Gabriele see Potts, Daniel, 2003h:44003Sterc, Davor see Svrtan, Dragutin et al., 2003h:51025Sun, Qi (with Ren, De Bin; Tang, Yuan Yan/asup1) Computation of two k-dimensionalDFTs by a single k-dimensional DFT. (Chinese. English and Chinese summaries)

Sundararajan, D. The discrete Fourier transform. 2003c:42001Svrtan, Dragutin (with Sterc, Davor; Urbiha, Igor) On cyclic characterizations of regularpentagons and heptagons: two approaches. (English summary) 2003h:51025

Swamy, M. N. S. seeMastorakis, Nikos E., 2003f:94017Tang, Yuan Yan/asup1 see Sun, Qi et al.

Tapia, Richard seeWu, Zhijun et al., 2003a:90041Urbiha, Igor see Svrtan, Dragutin et al., 2003h:51025Wang, Wei-Cheng see Lai, Ming-Chih, 2003e:65191Wang, Zheng Hua (with He, Cheng Yuan) A fast Fourier transform algorithm for thesolution of the level-2(R, r)-circulant linear systems of type (m, n). (Chinese. English andChinese summaries)

Wang, Zheng Ming see Cheng, Li Zhi et al., 2003m:94019Wu, Zhijun (with Phillips, George N., Jr.; Tapia, Richard; Zhang, Yin1) A fast Newtonalgorithm for entropy maximization in phase determination. (English summary)2003a:90041

Xia, Xiang-Gen see Fan, Pingyi, 2003d:94017Yeh, Min-Hung (with Pei, Soo-Chang) A method for the discrete fractional Fouriertransform computation. (English summary)

Zeng, Yonghong see Cheng, Li Zhi, 2003d:94015Zhang, Yin1 seeWu, Zhijun et al., 2003a:90041Zhang, Zhenhui see Cheng, Li Zhi et al., 2003m:94019

65T60 Wavelets

Catinas, Daniela On a possible determination of the frame bounds. (English summary)2003j:65142

Cattani, Carlo (with Laserra, Ettore) Wavelets in chemical transport theory. (Englishsummary)

Champier, Sylvie (with Grammont, Laurence) A wavelet-vagueletmethod for unfoldingsphere size distributions. (English summary) 2003a:65124

Chen, Ze Wen (withWang, Chuan Rong; Zhu, Yu Can) Wavelet approximationand calculation for a higher-order singular integral. (Chinese. English and Chinesesummaries) 2003e:65248

Cheng, Zheng Xing see Yang, Jian Wei, 2003m:65244Cohen, Albert (with Dahmen,Wolfgang; DeVore, R. A.) Adaptive wavelet methods. II.Beyond the elliptic case. (English summary) 2003f:65212

Dahmen, Wolfgang see Cohen, Albert et al., 2003f:65212DeVore, R. A. see Cohen, Albert et al., 2003f:65212Engquist, Bjorn (with Runborg, Olof) Wavelet-based numerical homogenization withapplications. (English summary) 2003k:65180

Freeden, Willi (with Hesse, K.) On the multiscale solution of satellite problems by use oflocally supported kernel functions corresponding to equidistributed data on sphericalorbits. (English summary) 2003c:65153

Grammont, Laurence see Champier, Sylvie, 2003a:65124Hesse, K. see Freeden, Willi, 2003c:65153Lamarque, Claude-Henri (with Pernot, S.) Stationary vibration analysis of time-periodicsystems via a wavelet-based searching procedure. (English summary) 2003c:65154

Laserra, Ettore see Cattani, Carlo

65T Numerical methods in Fourier analysis1957 2003 65T60

Law, Ngai-Fong (with Siu, Wan-Chi) An efficient computational scheme for the two-dimensional overcomplete wavelet transform. (English summary) 2003j:65143

Liandrat, J. An introduction to wavelet methods for partial differential equations and theirlink with some other multi-scale approaches in numerical analysis. (English summary)2003a:65125

Lin, Wei1 (with Shen, You Jian) Wavelet solutions to the natural integral equations of theplane elasticity problem. (English summary) (see 2003f:00023)

Liu, Zhen Jie Wavelet analysis of a differential operator spline inW 2(R)⊗W 2(R) space.(Chinese. English and Chinese summaries)

Long, Ai Fang A wavelets solution for differential equations. (Chinese. English and Chinesesummaries)

Niklasson, Anders M. N. see Tymczak, C. J. et al., 2003j:65144Pernot, S. see Lamarque, Claude-Henri,2003c:65154Roder, Heinrich see Tymczak, C. J. et al., 2003j:65144

Runborg,Olof see Engquist, Bjorn, 2003k:65180Shen, You Jian see Lin, Wei1, (2003f:00023)Siu,Wan-Chi see Law, Ngai-Fong,2003j:65143Tymczak, C. J. (with Niklasson, Anders M. N.; Roder, Heinrich) Separable andnonseparable multiwavelets in multiple dimensions. (English summary) 2003j:65144

Wang, Chuan Rong see Chen, Ze Wen et al., 2003e:65248Wickerhauser,Mladen Victor Advances in wavelet algorithms and applications. (Englishsummary) (see 2003f:42002)

Yang, Jian Wei (with Cheng, Zheng Xing) Construction of bivariate orthogonal wavelets.(Chinese. English and Chinese summaries) 2003m:65244

Ye, Bi Quan see Yi, Bao Lin

Yi, Bao Lin (with Ye, Bi Quan) Construction of orthogonal wavelet basis on [0, 1] and itsnumerical simulation. (Chinese. English and Chinese summaries)

Zhu, Yu Can see Chen, Ze Wen et al., 2003e:65248


Abbate,Agostino (with DeCusatis, Casimer M.; Das, Pankaj K.) Wavelets andsubbands. (English summary) 2003f:42001

Abe, Kazuhisa (with Koro, Kazuhiro) Gauss quadrature method using wavelet basis as aweighting function for boundary element analysis. (English summary) (see 2003e:65002)see also Koro, Kazuhiro, (2003e:65002)

Addison, Paul S. The illustrated wavelet transform handbook. (English summary)2003j:00016

Agamennoni,O. E. see Castro, L. R. et al., 2003e:42048Ahmad, M. Kalimuddin Wavelet packets for solution of differential equations. (Englishsummary) 2003k:42057

Alekseev, A. K. On the regularization of an ill-posed problem by means of a multiscale.(Russian. English and Russian summaries) 2003c:65048



Amat, Sergio (with Busquier, Sonia; El kebir, Dhafer; Molina, Jose) Compression oflocally oscillatory signal with discontinuities. (English summary) 2003i:42039

Ashino, Ryuichi (with Desjardins, Steven J.; Heil, Christopher; Nagase, Michihiro;Vaillancourt, Remi) Image restoration through microlocal analysis with smooth tightwavelet frames. (English summary)

Asoo, Yasuhiro Multiresolution analysis with lattice basis. (English summary) (see2003a:17002)

Averbuch, Amir Z. (with Zheludev, V. A.) Lifting scheme for biorthogonal multiwaveletsoriginated from Hermite splines. (English summary) 2003b:94004

Avudainayagam,A. seeVani, C., 2003m:65095

Baraniuk, Richard G. (with DeVore, R. A.; Kyriazis, G.; Yu, Xiang Ming) Near best treeapproximation. (English summary) 2003e:41025

see also Riedi, Rudolf H. et al., (2003b:00024)Barinka, Arne (with Barsch, Titus; Dahlke, Stephan; Mommer, Mario; Konik, Michael)Quadrature formulas for refinable functions and wavelets. II. Error analysis. (Englishsummary) 2003h:65024

Barsch, Titus see Barinka, Arne et al., 2003h:65024Behiry, S. H. A wavelet-Galerkinmethod for inhomogeneous diffusion equations subject tomass specification. (English summary) 2003k:65113

Berenstein, Carlos A. Local tomography and related problems. 2003a:44002

Berkner, Kathrin (withWells, Raymond O., Jr.) Smoothness estimates for soft-thresholddenoising via translation-invariant wavelet transforms. (English summary) 2003a:94011

Berrone, Stefano (with Emmel, L.) A realization of a wavelet Galerkin method onnontrivial domains. (English summary) 2003i:65104

Bertoluzza, Silvia (with Perrier, Valerie) The mortar wavelet method. (English summary)(see 2003f:65007)(with Falletta, Silvia; Perrier, Valerie) Wavelet/FEMcoupling by the mortar method.(English summary) (see 2003k:65167)(with Verani, M.) Convergence of a nonlinear wavelet algorithm for the solution ofPDEs. (English summary) 2003i:65096

Beylkin, Gregory see Alpert, Bradley et al., 2003i:65083Bonnet, Stephane (with Peyrin, Francoise; Turjman, Francis; Prost, Remy) Multiresolu-tion reconstruction in fan-beam tomography. (English summary) 2003b:94007

Borup, Lasse (with Nielsen, Morten2) Nonseparable wavelet packets. (English summary)2003e:42047

Brackx, Fred F. (with Sommen, Franciscus) Benchmarking of three-dimensional Cliffordwavelet functions. (English summary) 2003g:30089

Busquier, Sonia see Amat, Sergio et al., 2003i:42039Castro, L. R. (with Agamennoni, O. E.; D’Attellis, C. E.) Rational wavelets in Wiener-likemodeling. (English summary) 2003e:42048

Cattani,Carlo (with Laserra, Ettore) Transport theory of homogeneous reacting solutes.(English and Ukrainian summaries) 2003b:76156

Chan, Tony F. (with Zhou, Hao-Min) ENO-wavelet transforms for piecewise smoothfunctions. (English summary) 2003j:42032

(with Chen, Ke1) On two variants of an algebraic wavelet preconditioner. (Englishsummary) 2003f:65053

Chan, Y. T. see Ho, Dominic K. C., 2003e:94019Chen, Ke1 see Chan, Tony F., 2003f:65053Chen, Wei7 (with Yang, Qiao; Jiang, Wei-jun; Peng, Si Long) On bandlimited scalingfunction. (English summary) 2003d:42052

Chen, Wensheng (with Lin, Wei1) Trigonometric Hermite wavelet and natural integralequations for Stokes problem. (English summary) 2003b:65128

Cheng, Zheng Xing see Yang, Shou Zhi et al., 2003j:42044 and Cui, Li Hong2

Chiavassa, G. (with Guichaoua, M.; Liandrat, J.) Two adaptive wavelet algorithms fornon-linear parabolic partial differential equations. (English summary) 2003c:65091

Craigmile, Peter F. (with Percival, Donald B.; Guttorp, Peter) The impact of waveletcoefficient correlations on fractionally differenced process estimation. (English summary)2003f:42051

Crouse, Matthew S. see Riedi, Rudolf H. et al., (2003b:00024)Cui, Li Hong2 (with Cheng, Zheng Xing) An algorithm of construction for orthogonalmultiwavelets with short supports from a givenmultiscaling function. (Chinese. Englishand Chinese summaries)

Dahlke, Stephan see Barinka, Arne et al., 2003h:65024Dahmen, Wolfgang (with Urban, Karsten; Vorloeper, Jurgen) Adaptive wavelet methods—basic concepts and applications to the Stokes problem. (English summary) (see2003f:42002)(with Kunoth, Angela; Schneider, Reinhold) Wavelet least squares methods forboundary value problems. (English summary) 2003d:65047

Dai, Dao Qing Vision, harmonic oscillator and wavelets. (English summary) 2003a:94008

Das, P. C. (with Sastry, Ch. S.) Region-of-interest tomography using a composite Fourier-wavelet algorithm. (English summary) 2003h:92014

Das, Pankaj K. see Abbate, Agostino et al., 2003f:42001D’Attellis, C. E. see Castro, L. R. et al., 2003e:42048DeCusatis, Casimer M. see Abbate,Agostino et al., 2003f:42001Defrise, Michel see De Mol, Christine, 2003m:65090De Mol, Christine (with Defrise, Michel) A note on wavelet-based inversion algorithms.(English summary) 2003m:65090

Dempster, M. A. H. (with Eswaran, A.) Wavelet based PDE valuation of derivatives.(English summary) 2003e:65164

Dem′yanovich, Yu. K. Wavelet expansions in spline spaces on an irregular grid. (Russian)2003h:41012

De Rossi, Alessandra (with Rodino, Luigi) A strengthened Cauchy-Schwarz inequality forbidimensional spline-wavelets. (English summary) 2003e:42050

Desjardins, Steven J. see Ashino, Ryuichi et al.

DeVore, R. A. see Baraniuk, Richard G. et al., 2003e:41025Donoho, David L. (with Huo, Xiaoming) Beamlets and multiscale image analysis. (Englishsummary) 2003m:94009

Ehrich, Sven Explicit inequalities for wavelet coefficients. (English summary) 2003a:42039

El-Gamel, Mohamed (with Zayed, Ahmed I.) A comparison between the wavelet-Galerkinand the sinc-Galerkin methods in solving nonhomogeneous heat equations. (Englishsummary) 2003m:65176

El kebir, Dhafer see Amat, Sergio et al., 2003i:42039Emmel, L. see Berrone, Stefano,2003i:65104Eswaran, A. see Dempster, M. A. H., 2003e:65164Falcon Martel, Antonio see Perez Nava, Fernando,2003h:68148Falletta, Silvia see Bertoluzza, Silvia et al., (2003k:65167)Ferrando, S. E. (with Kolasa, L. A.) Averages of best wavelet basis estimates for denoising.(English summary) 2003e:94009

Fleming, B. J. W. (with Yu, De Hao; Harrison, R. G.; Jubb, D.) Wavelet-based detection ofcoherent structures and self-affinity in financial data. (English summary) 2003c:91086

Fodor, Imola K. (with Kamath, Chandrika) The role of multiresolution in mining massiveimage datasets. (English summary) 2003h:68035

Freeden, Willi (withMaier, Thorsten) On multiscale denoising of spherical functions: basictheory and numerical aspects. (English summary) 2003j:33036

Freedman, Michael H. Poly-locality in quantum computing. (English summary)2003g:81033

Fu, Chu Li (with Qiu, Chun Yu) Wavelet and error estimation of surface heat flux.(English summary) 2003k:65106

Gencay, Ramazan (with Selcuk, Faruk; Whitcher, Brandon) Systematic risk andtimescales. (English summary)

Gines, D. see Alpert, Bradley et al., 2003i:65083Gomes, S. M. see Kaibara, M. K., (2003j:65004)Goodman, T. N. T. Biorthogonal refinable functions and wavelets from spaces generalisingsplines. (English summary) 2003j:41010

Gori Nicolo-Amati, Laura (with Pitolli, Francesca; Pezza, Laura) On the Galerkin methodbased on a particular class of scaling functions. (English summary) 2003b:65101(with Pitolli, Francesca; Santi, Elisabetta) Positive refinable operators. (Englishsummary) 2003a:42040

Gu, Jian Ping see You, Jun Qiao et al., 2003f:42048Guichaoua,M. see Chiavassa, G. et al., 2003c:65091Guttorp, Peter see Craigmile, Peter F. et al., 2003f:42051Han, Bin2 (with Riemenschneider, Sherman D.) Interpolatory biorthogonal wavelets andCBC algorithm. (English summary) 2003d:42055


Harrison, R. G. see Fleming, B. J. W. et al., 2003c:91086Heil, Christopher see Ashino, Ryuichi et al.Ho, Dominic K. C. (with Chan, Y. T.) An iterative algorithm for two-scale waveletdecomposition. (English summary) 2003e:94019

Hoffman, Johan Dynamic subgrid modeling for scalar convection-diffusion-reactionequations with fractal coefficients. (English summary) (see 2003d:65004)

Hong, Tae-Kyung (with Kennett, B. L. N.) On a wavelet-basedmethod for the numerical

NUMERICAL ANALYSIS65T60 2003 1958

simulation of wave propagation. (English summary) 2003k:65119


Huang, Da Ren (with Liu, Jiu Fen; Li, Feng) Construction of biorthonormal multiresolu-tion analyses with filter length 5. (Chinese. English summary)

Huo, Xiaoming see Donoho, David L., 2003m:94009

Jia, Rong-Qing Cascade algorithms in wavelet analysis. (English summary) 2003j:42037

(with Jiang, Qing-Tang; Lee, Seng Luan) Convergence of cascade algorithms in Sobolevspaces and integrals of wavelets. (English summary) 2003c:42029Convergence rates of cascade algorithms. (English summary) 2003m:41027

Jiang,Qing-Tang see Jia, Rong-Qing et al., 2003c:42029Jiang,Wei-jun see Chen, Wei7 et al., 2003d:42052Jin, Liang see Lin, Fu Chun et al.

Johnson,Brody Dylan On the relationship between quasi-affine systems and the a trousalgorithm. (English summary) 2003h:42050

Jubb, D. see Fleming, B. J. W. et al., 2003c:91086Jung, Kap Hun see Shim, Hong-Tae,2003b:42053Kaibara,M. K. (with Gomes, S. M.) A fully adaptivemultiresolution scheme for shockcomputations. (English summary) (see 2003j:65004)

Kamath, Chandrika see Fodor, Imola K., 2003h:68035Kennett,B. L. N. see Hong, Tae-Kyung, 2003k:65119Kevlahan,N. K.-R. see Vasilyev, Oleg V.Kirby, Michael Joseph Geometric data analysis. (English summary) 2003h:94002

Knapek, S. (with Koster, F.) Integral operators on sparse grids. (English summary)2003e:42054

Knowles, Greg Hardware architectures for the orthogonal and biorthogonal wavelettransform. (English summary)

Kolasa, L. A. see Ferrando, S. E., 2003e:94009Konik,Michael see Barinka, Arne et al., 2003h:65024Koro, Kazuhiro (with Abe, Kazuhisa) Determination of optimal threshold for matrixcompression in wavelet BEM. (English summary) (see 2003e:65002)see also Abe, Kazuhisa, (2003e:65002)

Koster, F. see Knapek, S., 2003e:42054Koval′, A. I. (with Rusyn, B. P.) A method for constructing biorthogonal wavelets based onpole theory. (Russian. English, Russian and Ukrainian summaries) 2003f:94014

Kunoth, Angela Fast iterative solution of saddle point problems in optimal control based onwavelets. (English summary) 2003f:49063see also Dahmen, Wolfgang et al., 2003d:65047

Kyriazis, G. see Baraniuk, Richard G. et al., 2003e:41025Lai, Ming-Jun Methods for constructing nonseparable compactly supported orthonormalwavelets. (English summary) 2003j:42038

Laserra, Ettore see Cattani, Carlo, 2003b:76156Lawton, Wayne Global analysis of wavelet methods for Euler’s equation. (Englishsummary) 2003k:37143

Lee, Seng Luan see Jia, Rong-Qing et al., 2003c:42029Li, Feng see Huang, Da Ren et al.

Li, He Long (with Yi, Xu Ming) Wavelets-gear solution of two-dimensional stiff boundaryproblems. (Chinese. English and Chinese summaries)

Li, Hong1 see Lin, Fu Chun et al.Li, Jian Ping1 (with Tang, Yuan Yan/asup1) A fast wavelet analysis algorithm based onoblique projection and Mellin transform. (Chinese. English and Chinese summaries)2003f:42057

Li, Luo Qing see You, Jun Qiao et al., 2003f:42048Li, Qi4 see Lin, Wei1, (2003g:00024)Li, Yuan Lu see Yuan, Xiu GuiLiandrat, J. seeChiavassa, G. et al., 2003c:65091Liang, Xue Zhang (with Liu, Ming-cai) Wavelet-Galerkinmethods for second kindintegral equations. (English summary) 2003b:65142

Lin, Fu Chun (with Li, Hong1; Jin, Liang) Construction of CDF biorthogonal waveletsbased on a lifting scheme. (Chinese. English and Chinese summaries)

Lin, Wei1 (with Li, Qi4) The algorithm implementation of Cauchy singular integral inDaubechies wavelets on the interval. (English summary) (see 2003g:00024)see also Chen,Wensheng, 2003b:65128

Lin, Yuan-Pei see Phoong, See-May, 2003a:94029Litvin, O. N. (with Udovichenko, V. M.) The Haar wavelet approximation of functionsof two variables using mixed wavelet approximation operators. (Ukrainian. Ukrainiansummary) (see 2003e:00027)

Liu, B. Adaptive harmonic wavelet transform with applications in vibration analysis.(English summary)

Liu, Feng1 see Zhang, Zhuo Sheng et al., 2003h:94013Liu, Gui Zhong see Zhang, Zhuo Sheng et al., 2003h:94013Liu, Jiu Fen see Huang, Da Ren et al.Liu, Ming-cai see Liang, Xue Zhang, 2003b:65142Liu, Zeng Rong see Tian, Li Xin et al., 2003m:37130Ma, Jiang Hong seeWei, Li Li, 2003a:62054Mahmoudi, Y. seeMaleknejad, K. et al., 2003k:65175Maier, Thorsten see Freeden, Willi, 2003j:33036Maitani, Fumio (with Nakaoka, Akira; Okura, Hiroyuki; Yagasaki, Tatsuhiko) Smooth-ness of rankM scaling functions. (English summary) 2003j:42040

Maleknejad,K. (with Tavassoli Kajani, M.; Mahmoudi, Y.) Numerical solution of linearFredholm and Volterra integral equation of the second kind by using Legendre wavelets.(English and Persian summaries) 2003k:65175

Molina, Jose see Amat, Sergio et al., 2003i:42039Mommer, Mario see Barinka, Arne et al., 2003h:65024Morante Blanco, Rodrigo see Alvarez Dıaz, Lilliam et al., 2003f:65160Nagase,Michihiro see Ashino, Ryuichi et al.Nakaoka, Akira seeMaitani, Fumio et al., 2003j:42040Nielsen, Morten2 see Borup, Lasse, 2003e:42047Okura, Hiroyuki seeMaitani, Fumio et al., 2003j:42040Paiva, Freddy see Harbrecht, H. et al., 2003g:65143

Peng, Si Long see Chen, Wei7 et al., 2003d:42052Percival, Donald B. see Craigmile, Peter F. et al., 2003f:42051Perez, C. see Harbrecht, H. et al., 2003g:65143Perez Nava, Fernando (with Falcon Martel, Antonio) Condensation-based contourtracking with Sobolev smoothness priors. (English summary) 2003h:68148

Perrier, Valerie see Bertoluzza, Silvia et al., (2003f:65007) and (2003k:65167)Pevnyı, A. B. see Zheludev, V. A., 2003i:42059Peyrin, Francoise see Bonnet, Stephane et al., 2003b:94007Pezza, Laura seeGori Nicolo-Amati, Laura et al., 2003b:65101Phoong, See-May (with Lin, Yuan-Pei) Prediction-based lower triangular transform.(English summary) 2003a:94029

Pitolli, Francesca see Gori Nicolo-Amati, Laura et al., 2003a:42040 and 2003b:65101Prost, Remy see Bonnet, Stephane et al., 2003b:94007Qiu, Chun Yu see Fu, Chu Li, 2003k:65106Rathsfeld, Andreas see Hsiao, George C., 2003e:76100Razzaghi,Mohsen (with Yousefi, S.) Sine-cosine wavelets operational matrix of integrationand its applications in the calculus of variations. (English summary) 2003i:49059

Ribeiro, Vinay J. see Riedi, Rudolf H. et al., (2003b:00024)Riedi, Rudolf H. (with Ribeiro, Vinay J.; Crouse, Matthew S.; Baraniuk, Richard G.)Network traffic modeling using a multifractal wavelet model. (English summary) (see2003b:00024)

Riemenschneider, Sherman D. see Han, Bin2, 2003d:42055Rodino, Luigi see De Rossi, Alessandra, 2003e:42050Ruiz de Zarate, Ailin see Alvarez Dıaz, Lilliam et al., 2003f:65160Rusyn, B. P. see Koval′, A. I., 2003f:94014Saito, Naoki Local feature extraction and its applications using a library of bases.

2003f:94008

Santi, Elisabetta see Gori Nicolo-Amati, Laura et al., 2003a:42040Sastry, Ch. S. see Das, P. C., 2003h:92014Schmeelk, John Wavelet transforms on two-dimensional images. (English summary)Schmidlin, Gregor (with Schwab, Christoph) WaveletGalerkin BEM on unstructuredmeshes by aggregation. (English summary) (see 2003d:65004)

Schneider, Reinhold see Dahmen, Wolfgang et al., 2003d:65047 and Harbrecht, H. et al.,2003g:65143

Schwab, Christoph see Schmidlin, Gregor, (2003d:65004)Selcuk, Faruk see Gencay, Ramazan et al.Shen, Xiaoping A. (withWalter, Gilbert G.) Meyer wavelet regularization. (Englishsummary) 2003d:65124

Shen, You Jian Wavelet solution of plane elasticity problem in the upper half-plane.(English summary) 2003m:74042

Shen, Yuan Tong see Yi, Xu Ming et al.

Shim, Hong-Tae (with Jung, Kap Hun) A summability for Meyer wavelets. (Englishsummary) 2003b:42053

Shu, Shi see Yu, Hai Yuan et al., 2003d:42061Sommen, Franciscus see Brackx, Fred F., 2003g:30089Starck, Jean-Luc Nonlinear multiscale transforms. (English summary) 2003h:68150Strelkov, N. A. Optimal projection-difference approximations, splines, and wavelets.(Russian. Russian summary) 2003a:65012

Sun, Jian Hua see Yi, Xu Ming et al.

Tang, Yuan Yan/asup1 see Yang, Lihua, 2003e:42058and Li, Jian Ping1, 2003f:42057Tausch, Johannes Multiwavelets for geometrically complicated domains and theirapplication to boundary element methods. 2003f:65198

Tavassoli Kajani, M. seeMaleknejad,K. et al., 2003k:65175Tian, Li Xin (with Xu, Bo Qiang; Liu, Zeng Rong) Wavelet approximate inertial manifoldand numerical solution of Burgers’ equation. (Chinese. English and Chinese summaries)2003m:37130

Turjman, Francis see Bonnet, Stephane et al., 2003b:94007Udovichenko, V. M. see Litvin, O. N., (2003e:00027)Urban, Karsten Wavelets in numerical simulation. (English summary) 2003e:42001

see also Dahmen, Wolfgang et al., (2003f:42002)Vaillancourt, Remi see Ashino, Ryuichi et al.

Vani, C. (with Avudainayagam,A.) Regularized solution of the Cauchy problem for theLaplace equation using Meyer wavelets. (English summary) 2003m:65095

Vasilyev, Oleg V. (with Kevlahan,N. K.-R.) Hybrid wavelet collocation—Brinkmanpenalization method for complex geometry flows. (English summary)

Verani, M. see Bertoluzza, Silvia, 2003i:65096Villemoes, Lars F. Wavelet packets with uniform time-frequency localization. (English andFrench summaries) 2003k:42063

Vorloeper, Jurgen see Dahmen, Wolfgang et al., (2003f:42002)Vozovoi, L. see Alpert, Bradley et al., 2003i:65083Walden, Andrew T. Wavelet analysis of discrete time series. (English summary)

2003m:62246

Walter, Gilbert G. see Shen, Xiaoping A., 2003d:65124Wang, Hong Yong see Yang, Shou Zhi et al., 2003j:42044Wang, Jian Zhong2 Spline wavelets in numerical resolution of partial differential equations.(English summary) 2003d:65115

Wei, Li Li (withMa, Jiang Hong) Universal consistency of wavelet estimators ofregression functions for the fixed design case. (Chinese. English and Chinese summaries)2003a:62054

Wells, Raymond O., Jr. see Berkner, Kathrin, 2003a:94011Whitcher, Brandon Simulating Gaussian stationary processes with unbounded spectra.(English summary)see also Gencay, Ramazan et al.

Wickerhauser, Mladen Victor Basis and convergence properties of wavelet packets. (Englishsummary) 2003f:42061

Xu, Bo Qiang see Tian, Li Xin et al., 2003m:37130

Yagasaki, Tatsuhiko seeMaitani, Fumio et al., 2003j:42040Yang, Lihua (with Tang, Yuan Yan/asup1) A wavelet-based characterization of curves.(English summary) 2003e:42058

Yang, Qiao see Chen, Wei7 et al., 2003d:42052

65Y Computer aspects of numerical algorithms1959 2003 65Y05

Yang, Shou Zhi (with Cheng, Zheng Xing; Wang, Hong Yong) Construction of biorthogo-nal multiwavelets. (English summary) 2003j:42044

Ye, Bi Quan see Yi, Xu Ming et al.

Yi, Xu Ming (with Ye, Bi Quan; Sun, Jian Hua; Shen, Yuan Tong) Numerical detection ofa boundary layer with wavelets. (Chinese. English and Chinese summaries)see also Li, He Long

You, Jun Qiao (with Gu, Jian Ping; Li, Luo Qing) Subdivision schemes inWp,r(Rs ).(Chinese. English and Chinese summaries) 2003f:42048

Yousefi, S. see Razzaghi,Mohsen, 2003i:49059Yu,De Hao see Fleming, B. J. W. et al., 2003c:91086Yu,Hai Yuan (with Shu, Shi; Zhu, Shao Ming) Construction of non-tensor product semi-orthogonal wavelet bases with continuity in 〈I 〉 triangular partition. (Chinese. Englishsummary) 2003d:42061

Yu, Xiang Ming see Baraniuk, Richard G. et al., 2003e:41025Yuan, Xiu Gui (with Li, Yuan Lu) A wavelet method for calculating geophysical integralproblems. (Chinese. English and Chinese summaries)

Zayed, Ahmed I. see El-Gamel, Mohamed, 2003m:65176

Zhang, Zhihua On a new kind of inversion formula for the wavelet transform. (English andChinese summaries) 2003h:42061

Zhang, Zhuo Sheng (with Liu, Gui Zhong; Liu, Feng1) Construction of a new adaptivewavelet network and its learning algorithm. (English summary) 2003h:94013

Zheludev,V. A. (with Pevnyı, A. B.) The Butterworth wavelet transform and its implemen-tation using recursive filters. (Russian. Russian summary) 2003i:42059

see also Averbuch, Amir Z., 2003b:94004Zhou, Ding-Xuan The p-norm joint spectral radius and its applications in wavelet analysis.(English summary) 2003a:42044

Two-scale homogeneous functions in wavelet analysis. (English summary) 2003i:42060

Zhou,Hao-Min see Chan, Tony F., 2003j:42032Zhu, Shao Ming see Yu, Hai Yuan et al., 2003d:42061

65T99 None of the above, but in this section

Averbuch, Amir Z. (with Braverman, Elena; Coifman, R.; Israeli, M.) Fast evaluationof 2-D and 3-D oscillatory integrals with local Fourier bases. (English summary)2003k:65181

Braverman, Elena see Averbuch, Amir Z. et al., 2003k:65181Coifman, R. see Averbuch, Amir Z. et al., 2003k:65181Israeli, M. see Averbuch, Amir Z. et al., 2003k:65181Suda, Reiji (with Takami, Masayasu) A fast spherical harmonics transform algorithm.(English summary) 2003b:65145

Takami, Masayasu see Suda, Reiji, 2003b:65145


Calderbank,A. R. (with Daubechies, Ingrid) The pros and cons of democracy. (Englishsummary) 2003g:94016

Daubechies, Ingrid see Calderbank, A. R., 2003g:94016Fujiwara, Hiroshi (with Iso, Yuusuke) Design of a multiple-precision arithmetic packagefor a 64-bit computing environment and its application to numerical computation of ill-posed problems. (Japanese. English and Japanese summaries)

Iso, Yuusuke see Fujiwara, Hiroshi

65Yxx Computer aspects of numerical algorithms

65Y05 Parallel computation

Abid, Namh Abdulla (with Al-Hashemy, Bakir Hassan) A parallel algorithm for blocktridiagonal linear systems. (English summary)

Al-Hashemy, Bakir Hassan seeAbid, Namh AbdullaAxelsson, Owe (with Barker, V. A.; Neytcheva, M.; Polman, B.) Solving the Stokesproblem on a massively parallel computer. (English and Lithuanian summaries)2003c:65155

Barker, V. A. see Axelsson, Owe et al., 2003c:65155Chugunov,V. A. (with Vasilevskiı, Yu. V.) Parallel multilevel data structures for anonconforming finite element problem on unstructured meshes. (English summary)

Escalante, Rene Parallel strategies for the step by step Tau method. (English summary)2003k:65182

Iavernaro,Felice (withMazzia, Francesca) Generalization of backward differentiationformulas for parallel computers. (English summary) 2003m:65245


Mazzia, Francesca see Iavernaro, Felice, 2003m:65245

Neytcheva,M. see Axelsson, Owe et al., 2003c:65155Polman, B. see Axelsson, Owe et al., 2003c:65155Taylor, Kenneth T. Computational challenges in atomic, molecular and optical physics.(English summary)

Trahan, Jerry L. see Vaidyanathan,Ramachandran et al.

Vaidyanathan,Ramachandran (with Trahan, Jerry L.; Lu, Chun-ming) Degree ofscalability: scalable reconfigurablemesh algorithms for multiple addition and matrix-vector multiplication. (English summary)


Items with secondary classifications in 65Y05

Aarnes, Jørg A parallel algorithm for two-phase flow in heterogeneous porous media usingan adaptive upscaling technique. (English summary) 2003d:76121

Abedi, Jalal (with Aliabadi, Shahrouz) Simulation of incompressible flows with heat andmass transfer using parallel finite element method. (English summary) (see 2003m:65006)

Achdou,Yves (with Hontand, Jean-Claude; Pironneau, Olivier) A mortar element methodfor fluids. (English summary) (see 2003f:65005)

Albarreal, I. I. (with Calzada Canalejo, M. C.; Cruz Soto, J. L.; Fernandez Cara, Enrique;Galo, J. R.; Marın Beltran, Mercedes) A parallel algorithm for the Helmholtz equation.(Spanish. Spanish summary) (see 2003a:00034)(with Calzada Canalejo, M. C.; Cruz Soto, J. L.; Fernandez Cara, Enrique; Galo, J.R.; Marın Beltran, Mercedes) Convergence analysis and error estimates for a parallelalgorithm for solving the Navier-Stokes equations. (English summary) 2003j:76079

Aliabadi, Shahrouz see Abedi, Jalal, (2003m:65006)Amestoy, Patrick R. (with Duff, Iain S.; L’Excellent, Jean-Yves; Li, Xiaoye S.) Analysisand comparison of two general sparse solvers for distributed memory computers.(English summary)(with Duff, Iain S.; L’Excellent, Jean-Yves; Koster, Jacko) A fully asynchronous multi-frontal solver using distributed dynamic scheduling. (English summary) 2003d:65019

Arnal, Josep (withMigallon, Violeta; Penades, Jose) Non-stationary parallel Newtoniterativemethods for nonlinear problems. (English summary) 2003e:65085


Bai, Zhong Zhi Experimental study of the asynchronous multisplitting relaxationmethodsfor the linear complementarity problems. (English summary)


Bansal, S. S. (with Vishal, B.; Gupta, Phalguni) Near optimal Cholesky factorization onorthogonal multiprocessors. (English summary) 2003h:65030

Barberou, N. (with Garbey, M.; Hess, M.; Rossi, Tuomo; Resh, M.; Toivanen, Jari;Tromeur-Dervout, D.) Scalable numerical algorithms for efficient meta-computing ofelliptic equations. (English summary) (see 2003b:76005)

Bauer, Andrew C. (with Sanjanwala, Swapan; Patra, Abani K.) Portable efficient solversfor adaptive finite element simulations of elastostatistics in two and three dimensions.(English summary) (see 2003k:65167)

Benner, Peter (with Quintana-Ortı, Enrique S.; Quintana-Ortı, Gregorio) Numericalsolution of discrete stable linear matrix equations on multicomputers. (English summary)2003f:65041

Brugnano, Luigi (withMagherini, Cecilia) Blended implementation of block implicitmethods for ODEs. (English summary) 2003g:65075

Bunich, A. L. (with Ginsberg, K. S.; Dobrovidov, A. V.; Zatuliveter, Yu. S.; Prangishvili, I.V.; Smolyaninov, V. V.; Sukhov, E. G.) Parallel computations and control problems (ananalytic survey). (Russian. Russian summary)

(Burke, Philop) see New science from high-performance computing

Cain, Philipp (withMilde, Frank; Romer, Rudolf A.; Schreiber, Michael) Use of clustercomputing for the Anderson model of localization. (English summary) 2003g:82049

Calzada Canalejo,M. C. see Albarreal, I. I. et al., 2003j:76079and (2003a:00034)(Catlow, C. R. A.) see New science from high-performance computing

Ceperley, David see Srinivasan, Ashok et al.

Chawla, M. M. (with Khazal, R. R.) A parallel elimination algorithm for banded linearsystems. (English summary) 2003e:65035(with Khazal, R. R.) A new WZ factorization for parallel solution of tridiagonalsystems. (English summary)see also Khazal, R. R., 2003h:65032

Chen, Guo Zhang (with Chen, Hao; He, Pi Lian) Parallel algorithms for solving nonlinearsystems of equations. (Chinese. English and Chinese summaries)

Chen, Hao see Chen, Guo Zhang et al.

Chen, Ke1 (with Lai, Choi-Hong) Parallel algorithms of the Purcell method for directsolution of linear systems. (English summary) 2003h:65031

Chen, Richard M.-M. see Huang, Zu Lan et al.Choi, H. G. see Little, L. et al., 2003c:76093Chung, Kuo-Liang (with Yan, Wen-Ming; Wu, Jung-Gen) Load-balanced paralleltridiagonal system solver. (English summary) 2003j:65020

(with Yan, Wen-Ming; Wu, Jung-Gen) Load-balanced parallel banded-system solvers.(English summary) 2003h:68014

Colella, Phillip see Balls, Gregory T., 2003c:65102Cruz Martinez, Enrique see Gonzalez, Hector Eduardo, 2003m:11209

Cruz Soto, J. L. see Albarreal, I. I. et al., 2003j:76079 and (2003a:00034)Ding, Xiao Hua see Jin, Cheng Ri et al.Djamegni, Clementin Tayou Synthesis of space-time optimal systolic algorithms for theCholesky factorization. (English summary) 2003b:68212

Dobrovidov, A. V. see Bunich, A. L. et al.

Dongarra, Jack see Henry, Greg et al., 2003h:65049Doroshenko, A. E. Математические модели и методы организации

высокопроизводительных параллельных вычислении. (Russian. Russian sum-mary) [Mathematicalmodels and methods for the organization of high-performanceparallel computations] 2003g:68164

Du, Qiang see Ju, Lili et al.

Duff, Iain S. see Amestoy, Patrick R. et al., 2003d:65019Dumas, Jean-Guillaume (with Roch, Jean-Louis) On parallel block algorithms for exacttriangulations. (English summary)

Dunn, Ian N. (withMeyer, Gerard G. L.) QR factorization for shared memory andmessage passing. (English summary)

(Ecer, A.) see Parallel computational fluid dynamics, 2003b:76005El Baz, Didier see Spiteri, Pierre et al., 2003h:65042Evans, David John1 see Kang, Li Shan et al., 2003j:82072FernandezCara, Enrique see Albarreal, I. I. et al., 2003j:76079 and (2003a:00034)(Fox, Patricia L.) see Parallel computational fluid dynamics, 2003b:76005Fu, Yan Ru The structure of an asynchronous parallel algorithm for a class of ellipticequations with a boundary value condition. (Chinese. English and Chinese summaries)

Galo, J. R. see Albarreal, I. I. et al., 2003j:76079 and (2003a:00034)Gao, Jia Quan A practical difference scheme with intrinsic parallelism. (Chinese. Englishsummary) 2003g:65098

(with He, Guixia) An unconditionally stable parallel difference scheme for parabolicequations. (English summary) 2003h:65105

NUMERICAL ANALYSIS65Y05 2003 1960

Garbey, M. see Barberou, N. et al., (2003b:76005)Garey, L. E. see Nemani, S. S., 2003f:65045Ginsberg, K. S. see Bunich, A. L. et al.

Gonzalez,Hector Eduardo (with Cruz Martinez, Enrique) A parallel code for solvinglinear system equations with multimodular algebra. (English and Spanish summaries)2003m:11209

(Goodfellow, J.) see New science from high-performance computing

Gunzburger,Max D. see Ju, Lili et al.Gupta, Phalguni see Bansal, S. S. et al., 2003h:65030Ham, Fredric M. see Hicks, Charles L., 2003e:44010He, Guixia see Gao, Jia Quan, 2003h:65105He, Jun see Kang, Li Shan et al., 2003j:82072He, Pi Lian see Chen, Guo Zhang et al.Hemker, Pieter W. (with Shishkin, Grigorii I.; Shishkina, L. P.) Acceleration by parallelcomputations of solving high-order time-accurate difference schemes for singularlyperturbed convection-diffusion problems. (English summary) (see 2003e:65003)


Hess, M. see Barberou, N. et al., (2003b:76005)Hicks, Charles L. (with Ham, Fredric M.) An efficient method for performing discreteconvolution using Kronecker products. (English summary) 2003e:44010

Holmgren, Sverker (with Norden, Markus; Rantakokko, Jarmo;Wallin, Dan) Perfor-mance of PDE solvers on a self-optimizingNUMA architecture. (English summary)

Hong, Sung Je see Lee, Heejo et al.

Hontand, Jean-Claude see Achdou,Yves et al., (2003f:65005)Hough, P. D. (withMeza, J. C.) A class of trust-region methods for parallel optimization.(English summary) 2003e:90123

Huang, Zu Lan (with Jiang, Yao Lin; Chen, Richard M.-M.; Lin, Xiao La) On parallelimplementation of dynamic equations for solving eigenvalue problems of complexmatrices. (Chinese. English and Chinese summaries)

Iavernaro,Felice (withMazzia, Francesca) Parallel implicit predictor corrector methods.(English summary) 2003g:65080

Israeli, M. see Averbuch, Amir Z. et al., (2003f:65005)Jiang, Yao Lin see Huang, Zu Lan et al.

Jimack, Peter K. see Nadeem, Sarfraz A., 2003k:65166Jin, Cheng Ri (with Ding, Xiao Hua; Zhang, Shao Tai) A finite difference parallel iterativealgorithm for solving a hyperbolic equation. (Chinese. English and Chinese summaries)

Ju, Lili (with Du, Qiang; Gunzburger, Max D.) Probabilistic methods for centroidalVoronoi tessellations and their parallel implementations. (English summary)

Kang, Li Shan (with Li, Yuan Xiang; Pan, Zhengjun; He, Jun; Evans, David John1)Massively parallel algorithms from physics and biology. (English summary) 2003j:82072

Kaporin, Igor E. (with Kon′shin, I. N.) Parallel solution of symmetric positive-definitesystems on the basis of overlapping decomposition into blocks. (Russian. Russiansummary) 2003k:65026

Katti, C. P. (with Srivastava,Deepak Kumar; Sivaloganathan, S.) Highly efficient parallelalgorithm for finite difference solution to Navier-Stokes equation on a hypercube.(English summary) 2003e:76082

Kazimov, J. K. Synchronous parallel algorithm for an iterated Newtonian process. (Englishand Azerbaijani summaries) 2003m:65083

Khazal, R. R. (with Chawla, M. M.) A parallel elimination algorithm for pentadiagonallinear systems. (English summary) 2003h:65032see also Chawla, M. M., 2003e:65035

Kim, Jong see Lee, Heejo et al.

Kim, Seki see Kim, Yongdeoket al., 2003b:65121Kim, Yongdeok (with Lee, Sungyun; Kim, Seki) A parallel iterativeGalerkin method basedon nonconforming quadrilateral elements for second-order partial differential equations.(English summary) 2003b:65121

Kon′shin, I. N. see Kaporin, Igor E., 2003k:65026Kontoghiorghes,Erricos John Greedy Givens algorithms for computing the rank-kupdating of the QR decomposition. (English summary) 2003h:65058

Koster, Jacko see Amestoy, Patrick R. et al., 2003d:65019Kouatchou, Jules Comparison of time and spatial collocation methods for the heatequation. (English summary)

Lai, Choi-Hong see Chen, Ke1, 2003h:65031Lapin, A. V. (with Pieska, J.) On the parallel domain decomposition algorithms for time-dependent problems. (English summary) 2003e:65174

Lazzaro, Damiana A parallel multivariate interpolation algorithm with radial basisfunctions. (English summary)

Lee, Heejo (with Kim, Jong; Hong, Sung Je; Lee, Sunggu) Task scheduling using a blockdependency DAG for block-oriented sparse Cholesky factorization. (English summary)

Lee, Ming-Chang see Lyu, JrJung et al.Lee, Sunggu see Lee, Heejo et al.

Lee, Sungyun see Kim, Yongdeoket al., 2003b:65121L’Excellent, Jean-Yves see Amestoy, Patrick R. et al., 2003d:65019Li, Ji Chun A multiblock mixed finite element method for 2D and 3D elliptic problems onmixed unstructured grids and its parallelization. (English summary) 2003f:65194


Li, Xiaoye S. see Amestoy, Patrick R. et al.

Li, Yuan Xiang see Kang, Li Shan et al., 2003j:82072Li, Zhongze see Little, L. et al., 2003c:76093Lin, Xiao La see Huang, Zu Lan et al.Lipnikov, Konstantin (with Vasilevskiı, Yu. V.) Parallel adaptive solution of 3D boundaryvalue problems by Hessian recovery. (English summary)

Little, L. (with Li, Zhongze; Choi, H. G.; Saad, Youcef) Particle partitioning strategies forthe parallel computation of solid-liquid flows. (English summary) 2003c:76093

Luh, Hsing Paul see Lyu, JrJung et al.

Luo, Ping1 (with Zhou, Aihui) Accurate parallel algorithm for Adini nonconforming finiteelement. (English summary)

Lyu, JrJung (with Luh, Hsing Paul; Lee, Ming-Chang) Performance analysis of a parallelDantzig-Wolfe decomposition algorithm for linear programming. (English summary)

Mackenzie, L. M. see Sarbazi-Azad,H. et al., 2003e:65013Maday, Yvon (with Turinici, Gabriel) A parareal in time procedure for the control ofpartial differential equations. (English and French summaries) 2003h:49054

Magherini, Cecilia see Brugnano, Luigi, 2003g:65075Marchenko, M. A. (withMikhaılov, G. A.) Parallel realization of statistical simulation andrandom number generators. (English summary) 2003e:65005

Marın Beltran, Mercedes see Albarreal, I. I. et al., 2003j:76079 and (2003a:00034)Mascagni,Michael see Srinivasan, Ashok et al.

Mazzia, Francesca see Iavernaro, Felice, 2003g:65080McDonough, James (with Yang, Tao2) Parallelization of a chaotic dynamical systemsanalysis procedure. (English summary) (see 2003b:76005)

Meyer, Gerard G. L. see Dunn, Ian N.

Meza, J. C. see Hough, P. D., 2003e:90123Miellou, Jean-Claude see Spiteri, Pierre et al., 2003h:65042

Migallon, Violeta see Arnal, Josep et al., 2003e:65085Mihaila, Bogdan (with Shaw, Ruth E.) Parallel algorithm with spectral convergence fornonlinear integro-differential equations. (English summary) 2003g:65093

Mikhaılov, G. A. seeMarchenko,M. A., 2003e:65005Milde, Frank see Cain, Philipp et al., 2003g:82049Milyukova, O. Yu. Parallel approximate factorization method for solving discrete ellipticequations. (English summary) 2003e:65200

Minh, Nguyen Thi Hong see Nguyen Huu Cong, 2003e:65115Minkoff, Susan E. Spatial parallelism of a 3D finite difference velocity-stress elastic wavepropagation code. (English summary) 2003g:74085

Nadeem, Sarfraz A. (with Jimack, Peter K.) Parallel implementation of an optimal twolevel additive Schwarz preconditioner for the 3-D finite element solution of elliptic partialdifferential equations. (English summary) 2003k:65166

Natesan, Srinivasan see Vigo-Aguiar, Jesus et al., 2003e:65187Nemani, S. S. (with Garey, L. E.) Parallel algorithms for solving tridiagonal and near-circulant systems. (English summary) 2003f:65045

Nguyen Huu Cong (withMinh, Nguyen Thi Hong) Parallel-iterated pseudo two-stepRunge-Kutta-Nystrommethods for nonstiff second-order IVPs. (English summary)2003e:65115

Norden, Markus see Holmgren, Sverker et al.

Okten, Giray (with Srinivasan, Ashok) Parallel quasi-Monte Carlo methods on aheterogeneous cluster. (English summary) (see 2003i:65006)

Ould-Khaoua,M. see Sarbazi-Azad,H. et al., 2003e:65013Pan, Zhengjun see Kang, Li Shan et al., 2003j:82072Patra, Abani K. see Bauer, Andrew C. et al., (2003k:65167)Pavlov, Velisar Stability of a parallel partioning algorithm for special classes of bandedlinear systems. (English summary) (see 2003e:65003)

Penades, Jose see Arnal, Josep et al., 2003e:65085

(Periaux, J.) see Parallel computational fluid dynamics, 2003b:76005Petcu, Dana On the speedup of parallel iterative numerical methods. (English summary)(see 2003c:68005)

Pieska, J. see Lapin, A. V., 2003e:65174Pini, Giorgio Leftmost eigenvalue of real and complex sparse matrices on parallel computerusing approximate inverse preconditioning. (English summary) 2003f:65064

Pironneau,Olivier see Achdou,Yves et al., (2003f:65005)Podhaisky, H. (with Schmitt, B. A.; Weiner, Rudiger) Design, analysis and testing of someparallel two-stepW -methods for stiff systems. (English summary) 2003g:65078

Povitsky, Alex Parallel ADI solver based on processor scheduling. (English summary)2003k:65024

Prangishvili, I. V. see Bunich, A. L. et al.

Purcz, Pavol Communication complexity of a parallel algorithm for the explicit differencemethod. (English summary) (see 2003c:00022)

Quintales, Luis M. see Vigo-Aguiar, Jesus et al., 2003e:65187Quintana-Ortı, Enrique S. see Benner, Peter et al., 2003f:65041Quintana-Ortı,Gregorio see Benner, Peter et al., 2003f:65041Rantakokko, Jarmo see Holmgren, Sverker et al.

Resh, M. see Barberou, N. et al., (2003b:76005)

Roch, Jean-Louis see Dumas, Jean-Guillaume

Romer, Rudolf A. see Cain, Philipp et al., 2003g:82049Rossi, Tuomo see Barberou, N. et al., (2003b:76005)Ruvinsky, K. see Averbuch, Amir Z. et al., (2003f:65005)Saad, Youcef see Little, L. et al., 2003c:76093Sanjanwala, Swapan see Bauer, Andrew C. et al., (2003k:65167)Sarbazi-Azad,H. (with Ould-Khaoua, M.; Mackenzie, L. M.) Employing k-ary n-cubesfor parallel Lagrange interpolation. (English summary) 2003e:65013

(Satofuka, N.) see Parallel computational fluid dynamics, 2003b:76005Schmitt, B. A. see Podhaisky,H. et al., 2003g:65078Schreiber, Michael see Cain, Philipp et al., 2003g:82049Shaw, Ruth E. seeMihaila, Bogdan, 2003g:65093Shen, Chi (with Zhang, Jun2) Parallel two level block ILU preconditioning techniques forsolving large sparse linear systems. (English summary)

Shishkin, Grigorii I. see Hemker, Pieter W. et al., (2003e:65003)Shishkina, L. P. see Hemker, Pieter W. et al., (2003e:65003)

Sirotkin, V. (with Tarvainen, Pasi) Parallel Schwarz methods for convection-dominatedsemilinear diffusion problems. (English summary) 2003e:65235

Sivaloganathan,S. see Katti, C. P. et al., 2003e:76082Smolyaninov, V. V. see Bunich, A. L. et al.

Spiteri, Pierre (withMiellou, Jean-Claude; El Baz, Didier) Perturbation of parallelasynchronous linear iterations by floating point errors. (English summary) 2003h:65042

Srinivasan, Ashok (withMascagni, Michael; Ceperley, David) Testing parallel randomnumber generators. (English summary)see also Okten, Giray, (2003i:65006)

Srivastava, Deepak Kumar see Katti, C. P. et al., 2003e:76082

65Y Computer aspects of numerical algorithms1961 2003 65Y20

Stathopoulos,Andreas (withWu, Kesheng) A block orthogonalization procedure withconstant synchronization requirements. (English summary) 2003h:65059

Strikwerda, John C. A probabilistic analysis of asynchronous iteration. (English summary)2003e:65051

Sukhov, E. G. see Bunich, A. L. et al.

Sun, Xian-He see Zhuang, Yu2, 2003g:65112Takahashi, Daisuke2 A parallel 1-D FFT algorithm for the Hitachi SR8000. (Englishsummary)

Tarvainen, Pasi see Sirotkin, V., 2003e:65235(Tildesley, Dominic) see New science from high-performance computingToivanen, Jari see Barberou, N. et al., (2003b:76005)Tromeur-Dervout, D. see Barberou, N. et al., (2003b:76005)Turinici, Gabriel seeMaday, Yvon, 2003h:49054Vasilevskiı, Yu. V. see Lipnikov, Konstantin

Vigo-Aguiar, Jesus (with Quintales, Luis M.; Natesan, Srinivasan) An efficient parallelalgorithm for the numerical solution of Schrodinger equation. (English summary)2003e:65187

Vishal, B. see Bansal, S. S. et al., 2003h:65030Vozovoi, L. see Averbuch, Amir Z. et al., (2003f:65005)Wallin, Dan see Holmgren, Sverker et al.Wang,Wen Qia An alternating group explicit scheme for solving a diffusion equation andparallel computing. (Chinese. English and Chinese summaries)

Watkins, David S. see Henry, Greg et al., 2003h:65049Weiner, Rudiger see Podhaisky,H. et al., 2003g:65078(Wilders, P.) see Parallel computational fluid dynamics, 2003b:76005(Wilson, Maggie) seeNew science from high-performance computingWu, Jung-Gen see Chung, Kuo-Liang et al., 2003h:68014 and 2003j:65020

Wu, Kesheng see Stathopoulos,Andreas, 2003h:65059Yaguchi,Hirotake Parallel generating of long-period nonrecursive pseudorandom numbers.(Japanese. English summary) (see 2003a:00039)

Yan,Wen-Ming see Chung, Kuo-Liang et al., 2003h:68014 and 2003j:65020

Yang, Tao2 seeMcDonough, James, (2003b:76005)Yuan, Guang Wei (with Zuo, Fengli) Parallel difference schemes for heat conductionequations. (English summary)

Zatuliveter,Yu. S. see Bunich, A. L. et al.Zhang, Jun2 see Shen, Chi

Zhang, Shao Tai see Jin, Cheng Ri et al.

Zhao, Shuangsuo An efficient implementation scheme of the simplified Newton iteration forblock systems of nonlinear equations. (English summary) 2003b:65028

Zhou, Aihui see Luo, Ping1

Zhuang,Yu2 (with Sun, Xian-He) Stabilized explicit-implicit domain decompositionmethods for the numerical solution of parabolic equations. (English summary)2003g:65112

Zuo, Fengli see Yuan, Guang Wei


Egmond aan Zee Parallel computational fluid dynamics. 2003b:76005

London New science from high-performance computing.New science from high-performance computing New science from high-performancecomputing.

Parallel computational fluid dynamics Parallel computational fluid dynamics.2003b:76005

65Y10 Algorithms for specific classes of architectures



Trahan, Jerry L. see Vaidyanathan,Ramachandran et al.Vaidyanathan,Ramachandran (with Trahan, Jerry L.; Lu, Chun-ming) Degree ofscalability: scalable reconfigurablemesh algorithms for multiple addition and matrix-vector multiplication. (English summary)

Watson, Layne T. Probability-one homotopies in computational science. (Englishsummary) 2003h:65070

65Y15 Packaged methods


Duff, Iain S. (with Vomel, Christof) Algorithm 818: a reference model implementation ofthe sparse BLAS in Fortran 95. (English summary) 2003h:65028

England, Roland (with Lamour, Rene; Lopez Estrada, Jesus) Multiple shooting using adichotomically stable integrator for solving differential-algebraic equations. (Englishsummary) 2003k:65081

Enright,W. H. The design and implementation of usable ODE software. (Englishsummary) 2003m:65132


Frauenfelder,Philipp (with Lage, Christian) Concepts—an object-oriented softwarepackage for partial differential equations. (English summary)

Gardner, Carl L. (with Gelb, Anne; Hernandez, Justin) A comparison of modernhyperbolic methods for semiconductor device simulation: NTK central scheme vs.CLAWPACK. (English summary)

Gelb, Anne see Gardner, Carl L. et al.

Hernandez, Justin see Gardner, Carl L. et al.

Kaufman, Linda Band reduction algorithms revisited. (English summary) 2003f:65043

Lage, Christian see Frauenfelder, Philipp

Lamour, Rene see England, Roland et al., 2003k:65081Lopez Estrada, Jesus see England, Roland et al., 2003k:65081Patera, AnthonyT. see Prud’homme, Christophe et al.

Prud’homme, Christophe (with Rovas, Dimitrios V.; Veroy, Karen; Patera, AnthonyT.) A mathematical and computational framework for reliable real-time solution ofparametrized partial differential equations. (English summary)

Rovas, Dimitrios V. see Prud’homme, Christophe et al.Segeth, Karel see Solın, Pavel, 2003c:76081Solın, Pavel (with Segeth, Karel) Description of the multi-dimensional finite volume solverEULER. (English summary) 2003c:76081

Veroy, Karen see Prud’homme, Christophe et al.Vomel, Christof see Duff, Iain S., 2003h:65028

65Y20 Complexity and performance of numerical algorithms[see also 68Q25]

Babich, M. D. (withMorozova, T. A.; Shevchuk, L. B.) On the accuracy and complexity ofcomputations in the global solution of systems of nonlinear scalar equations. (Russian.English, Russian and Ukrainian summaries) (see 2003b:00017)(with Berezovs′kiı, A. I.; Besarab, P. N.; Zadıraka, V. K.; Lyudvichenko, V. A.; Sergıenko,I. V.) T -efficient algorithms for computing ε-solutions of problems in computational andapplied mathematics. I. (Russian. English and Ukrainian summaries) 2003c:65156

Berezovs′kiı, A. I. see Babich, M. D. et al., 2003c:65156Besarab, P. N. see Babich, M. D. et al., 2003c:65156Celledoni, Elena (with Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan) Complexity theoryfor Lie-group solvers. (English summary) 2003b:65146

Germanenko, M. I. see Panyukov, A. V., 2003d:65126Grigor′ev, D. Yu. Approximation and complexity. II. Iterated integration. (Englishsummary) 2003f:65213

Grubel, Rudolf (with Reimers, Anke) On the number of iterations required by vonNeumann addition. (English summary) 2003g:65165

Holmgren, Sverker (with Norden, Markus; Rantakokko, Jarmo;Wallin, Dan) Perfor-mance of PDE solvers on a self-optimizingNUMA architecture. (English summary)

Iserles, Arieh see Celledoni, Elena et al., 2003b:65146Lyudvichenko, V. A. see Babich,M. D. et al., 2003c:65156Morozova, T. A. see Babich,M. D. et al., (2003b:00017)Norden, Markus see Holmgren, Sverker et al.

Nørsett, Syvert P. see Celledoni, Elena et al., 2003b:65146Orel, Bojan see Celledoni, Elena et al., 2003b:65146Panyukov, A. V. (with Germanenko, M. I.) Complexity of determining a guaranteedestimate for the solution of an approximately given system of linear algebraic equations.(Russian. English and Russian summaries) 2003d:65126

Rantakokko, Jarmo see Holmgren, Sverker et al.

Reimers, Anke see Grubel, Rudolf, 2003g:65165Sergıenko, I. V. see Babich,M. D. et al., 2003c:65156Shevchuk, L. B. see Babich, M. D. et al., (2003b:00017)Wallin, Dan see Holmgren, Sverker et al.

Zadıraka, V. K. see Babich, M. D. et al., 2003c:65156


Alippi, Cesare Randomized algorithms: a system-level, poly-time analysis of robustcomputation. (English summary) 2003g:68165

Alonso Rodrıguez, Sergio see Sedeno Noda, Antonio et al.

Babich, M. D. see Sergıenko, I. V. et al., (2003e:00027)Bansal, S. S. (with Vishal, B.; Gupta, Phalguni) Near optimal Cholesky factorization onorthogonal multiprocessors. (English summary) 2003h:65030


Batten, L. M. (with Beliakov, G.) Fast algorithm for the cutting angle method of globaloptimization. (English summary) 2003j:90048

Beliakov, G. see Batten, L. M., 2003j:90048Berezovs′kiı, A. I. see Sergıenko, I. V. et al., (2003e:00027)Besarab, P. N. see Sergıenko, I. V. et al., (2003e:00027)Borm, Steffen see Hackbusch,Wolfgang

Cai, Dayong see Chen, Yurong, 2003m:65080

Chen, Yurong (with Cai, Dayong) Inexact overlapped block Broyden methods for solvingnonlinear equations. (English summary) 2003m:65080

Corless, Robert M. A new view of the computational complexity of IVP for ODE. (Englishsummary) 2003k:65061

Cuyt, A. (with Kuterna, P.; Verdonk, B.; Verschaeren, D.) Underflow revisited. (Englishsummary) 2003j:68008

Dongarra, Jack see Henry, Greg et al., 2003h:65049Dumas, Jean-Guillaume (with Roch, Jean-Louis) On parallel block algorithms for exacttriangulations. (English summary)

Dunn, Ian N. (withMeyer, Gerard G. L.) QR factorization for shared memory andmessage passing. (English summary)


Egecioglu, Omer (with Srinivasan, Ashok) Efficient nonparametric density estimation onthe sphere with applications in fluid mechanics. (English summary) 2003b:62079

Gansterer, Wilfried N. (withWard, Robert C.; Muller, Richard P.) An extension of thedivide-and-conquermethod for a class of symmetric block-tridiagonal eigenproblems.(English summary) 2003h:65047

Garcıa Olaverri, Alfredo (with Tejel, F. Javier) Using totally monotone matrices to solveproblems of Hamiltonian curves. (English summary) 2003b:65018

Gobel, Manfred An (asymptotic) error bound for the evaluation of polynomials at roots.(English summary) 2003e:65081

Gonzalez Martın, Carlos see Sedeno Noda, Antonio et al.

Gravvanis, George A. The convergence rate and complexity of explicit preconditionedconjugate gradient methods based on approximate inverse banded matrix techniques.(English summary) 2003c:65027

Gupta, Phalguni see Bansal, S. S. et al., 2003h:65030

NUMERICAL ANALYSIS65Y20 2003 1962

Gustavson, F. G. High-performance linear algebra algorithms using new generalized datastructures for matrices. (English summary) 2003m:65036

Hackbusch,Wolfgang (with Borm, Steffen) H 2-matrix approximation of integraloperators by interpolation. (English summary)


Hertling, Peter Topological complexity of zero finding with algebraic operations. (Englishsummary) 2003i:65043

Hickernell, Fred J. (withWozniakowski, Henryk) Tractability of multivariate integrationfor periodic functions. (English summary) 2003g:65028

Jia, Weijia (with Sun, Zhibin) On computational complexity of hierarchical optimization.(English summary)

Kacewicz, Bolesław Complexity of nonlinear two-point boundary-value problems. (Englishsummary) 2003i:34045

How to minimize the cost of iterativemethods in the presence of perturbations. (Englishsummary) 2003k:65050

Kuterna, P. see Cuyt, A. et al., 2003j:68008

Law, Ngai-Fong (with Siu, Wan-Chi) An efficient computational scheme for the two-dimensional overcomplete wavelet transform. (English summary) 2003j:65143


Li, Xiaoye S. (with et al.) Design, implementation and testing of extended and mixedprecision BLAS. (English summary) 2003h:65029

Lyudvichenko,V. A. see Sergıenko, I. V. et al., (2003e:00027)

Meyer, Gerard G. L. see Dunn, Ian N.

Morin, Pedro (with Nochetto, Ricardo H.; Siebert, Kunibert G.) Convergence of adaptivefinite element methods. (English summary)

Muller, Richard P. see Gansterer, Wilfried N. et al., 2003h:65047

Nair, M. Thamban (with Rajan, M. P.) Arcangeli’s discrepancy principle for a modifiedprojection scheme for ill-posed problems. (English summary) 2003c:65050

(Niederreiter, Harald) see Numerical integration and its complexity

Nochetto, Ricardo H. seeMorin, Pedro et al.

(Petras, Knut) see Numerical integration and its complexity

Plaskota, Leszek (withWasilkowski, Grzegorz W.) The exact exponent of sparse gridquadratures in the weighted case. (English summary) 2003a:65023

(with Ritter, Klaus; Wasilkowski, Grzegorz W.) Average case complexity of weightedapproximation and integration over R+. (English summary) 2003c:41007

Rajan,M. P. see Nair, M. Thamban, 2003c:65050

Ritter, Klaus see Plaskota, Leszek et al., 2003c:41007

Roch, Jean-Louis see Dumas, Jean-Guillaume

Rust, J. (with Traub, J. F.; Wozniakowski, Henryk) Is there a curse of dimensionality forcontraction fixed points in the worst case? (English summary) 2003h:65075

SedenoNoda, Antonio (with Gonzalez Martın, Carlos; Alonso Rodrıguez, Sergio)Estimating virtual CPU time for the two-phase double capacity scaling algorithm.(Spanish. English and Spanish summaries)

Sergıenko, I. V. (with Zadıraka, V. K.; Babich, M. D.; Berezovs′kiı, A. I.; Besarab, P. N.;Lyudvichenko, V. A.) On computer technology for constructing T -efficient algorithmsfor computing ε-solutions of problems in computational and applied mathematics.(Ukrainian. Ukrainian summary) (see 2003e:00027)

Siebert, Kunibert G. seeMorin, Pedro et al.

Siu,Wan-Chi see Law, Ngai-Fong,2003j:65143

Sloan, Ian H. (withWozniakowski, Henryk) Tractability of multivariate integration forweighted Korobov classes. (English summary) 2003g:65030

(withWozniakowski, Henryk) Tractability of integration in non-periodic and periodicweighted tensor product Hilbert spaces. (English summary) 2003e:46119

Srinivasan,Ashok see Egecioglu, Omer, 2003b:62079

Sun, Xian-He see Zhuang, Yu2, 2003g:65112

Sun, Zhibin see Jia, Weijia

Tejel, F. Javier see Garcıa Olaverri, Alfredo, 2003b:65018

Traub, J. F. see Rust, J. et al., 2003h:65075

Verdonk, B. see Cuyt, A. et al., 2003j:68008

Verschaeren, D. see Cuyt, A. et al., 2003j:68008

Vishal, B. see Bansal, S. S. et al., 2003h:65030

Wang, Xiaoqun1 Strong tractability of multivariate integration using quasi-Monte Carloalgorithms. (English summary) 2003m:65009

Ward, Robert C. see Gansterer, Wilfried N. et al., 2003h:65047

Wasilkowski, Grzegorz W. see Plaskota, Leszek et al., 2003a:65023 and 2003c:41007

Watkins, David S. see Henry, Greg et al., 2003h:65049

Werschulz, A. G. (withWozniakowski, Henryk) What is the complexity of surfaceintegration? (English summary) 2003b:65023

(withWozniakowski, Henryk) What is the complexity of volume calculation? (Englishsummary) 2003k:68048

Wozniakowski, Henryk seeWerschulz, A. G., 2003b:65023;2003k:68048;Sloan, Ian H.,2003e:46119;2003g:65030;Hickernell, Fred J., 2003g:65028;Rust, J. et al., 2003h:65075and Numerical integration and its complexity

Wu, Huapeng On complexity of polynomial basis squaring in F2m . (English summary)2003c:94036

Yalamov, Plamen see Barrio, Roberto, (2003e:65003)

Zadıraka, V. K. see Sergıenko, I. V. et al., (2003e:00027)

Zhuang,Yu2 (with Sun, Xian-He) Stabilized explicit-implicit domain decompositionmethods for the numerical solution of parabolic equations. (English summary)2003g:65112


Numerical integration and its complexity Numerical integration and its complexity.Oberwolfach Numerical integration and its complexity.

65Y99 None of the above, but in this section

Stoneham, A. M. Computational physics: a perspective. (English summary) 2003e:65249

Items with secondary classifications in 65Y99Cucker, Felipe Real computations with fake numbers. (English summary) 2003f:68032

Halpern, David seeWilson, Howard B. et al., 2003j:00005Kulisch, Ulrich W. Advanced arithmetic for the digital computer. (English summary)

2003j:65042

Turcotte, Louis H. seeWilson, Howard B. et al., 2003j:00005Wilson, Howard B. (with Turcotte, Louis H.; Halpern, David) Advanced mathematicsand mechanics applications using MATLAB . 2003j:00005

65Z05 Applications to physics

Items with secondary classifications in 65Z05Battye, Richard A. (with Sutcliffe, Paul M.) Skyrmions, fullerenes and rational maps.(English summary) 2003b:81227

Dehnen, Walter A hierarchicalO(N ) force calculation algorithm. (English summary)2003c:85001

Sutcliffe, Paul M. see Battye, Richard A., 2003b:81227

65–xx numericalanalysis · 65–02 numerical analysis 2003 1840 vandervorst,henka....

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