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PUBLICATIONS

SLIMANE ADJERID Areas of Specialization: Adaptive Finite Element Methods, Error Estimation, Numerical Analysis,

Scientific Computing, Materials Process Modeling. Recent Publications in Professional Journals:

Adjerid, S., Flaherty, J. E., Jansen, K., and Shephard, M. S., "Parallel finite element simulations of Czochralski melt flows," Proceedings of ICES (1998), Atlanta. Adjerid, S., Belguendouz, B., and Flaherty, J. E., "A posteriori finite element error estimation for diffusion problems," SIAM J. Sci. Comput., (1999), 21, (1999),728-746. Adjerid, S., Babuska, I., and Flaherty, J. E., "A posteriori error estimation for the finite element method-of-lines solution of parabolic problems," Math. Models Meth. Appl. Sci., 9 (2) (1999), 261-286 Adjerid, S., Flaherty, J. E., Hudson, J. B., and Shephard, M. S., "Modeling and simulation of CVD processes for manufacturing ceramic composites," Comput. Methods Appl. Mech. Eng., 172 (1999), 233-308. Adjerid, S., Aiffa, M., and Flaherty, J. E., "Numerical methods for singularly perturbed problems," in J. Cronin and R. E. O'Malley, Jr. Eds, Multiscale Phenomena AMS , Providence (1999). Flaherty, J.E., Ohsumi, T.K., Borocas, V., Adjerid, S., and Aiffa, M ”Adaptive finite element analysis of the anisotropic biphasic theory of tissue-equivalent mechanics", J. Biomech. Eng., 3, (2000), 215-229. Adjerid, S., Aiffa, M., and Flaherty, J. E., Hierarchical finite element bases for triangular and tetrahedral elements, Journal of Computer Methods in Applied Mechanics and Engineering. Adjerid, S., Devine, K., Flaherty, J. E, and Krivodonova, L., A posteriori estimation of discontinuous Galerkin finite element error for hyperbolic problems, Journal of Computer Methods in Applied Mechanics and Engineering Adjerid, S., An a posteriori error estimate for fourth-order boundary value problems, Computer Methods in Applied Mechanics and Engineering, 191, (2002) 2539-2559. Adjerid, S. A posteriori finite element error estimation for second-order hyperbolic problems, Computer Methods in Applied Mechanics and Engineering, 191, (2002) 4699-4719. Adjerid, S. and Massey T. C., A posteriori Error estimation of discontinuous finite element error for two-

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dimensional hyperbolic problems, Computer Methods in Applied Mechanics and Engineering, 191, (2002) 5877-5897. Adjerid, S. and Massey T. C., Flexible Galerkin fenite element methods,Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics

Articles Submitted:

Adjerid, S., “ Asymptotically exact a posteriori error estimates for the wave equation equation", in preparation (2001). Adjerid, S. and Massey T. C., Superconvergence of discontinuous fenite element solutions for nonlinear hyperbolic problems, SIAM Journal of Numerical Analysis.

JOSEPH A. BALL Areas of Specialization: Operator Theory, Systems Theory

Recent Publications in Professional Journals:

Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions, Integral

Equations and Operator Theory 32 (1998), 243-281 (with Yu. Karlovich, L. Rodman and Il.M. Spitkovsky)

Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables,

J. Functional Analysis 157 (1998), 1-61 (with T.T. Trent).

Robust L_2 –gain control for nonlinear systems with projection dynamics and input constraints: an example from traffic control, Automatica, Feb. 1999 (with M.V. Day, T. Yu and P. Kachroo) H-infinity tracking for a class of nonlinear systems, Technical Note, IEEE Trans. Auto. Control 44 (1999), 1202-1206 (with P. Kachroo and A.J. Krener). A commutant lifting theorem on the polydisc: interpolation problems for the bidisc, Indiana Univ. Math. J. 48 (1999), 653-675 (with W.S. Li, D. Timotin and T.T. Trent).

Zero-pole interpolation for meromorphyic matrix functions on a compact Riemann surface and a matrix Fay trisecant identity, American J. Math. 121 (1999), 841-888 (with V. Vinnikov)

J.A. Ball and T.T. Trent, The abstract interpolation problem and commutant lifting: A coordinate-free Approach in Operator Theory and Interpolation: International Workshop on Operator Theory and Applications, IWOTA 96 (Ed. H. Bercovici and C.I. Foias), OT 115, Birkhauser-Verlag, Basel-Boston, 2000, pp. 51-83.

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J.A. Ball, Linear systems, operator model theory and scattering: multivariable generalizations, in Operator Theory and Its Applications (Ed. A.G. Ramm, P.N. Shivakumar and A.V. Strauss), Fields Institute Communications Vol. 25, Amer. Math. Soc., Providence, 2000, pp. 151-178. J.A. Ball and N.J. Young, Problems on the realization of functions, in Operator Theory and Its Applications (Winnipeg, MB, 1998) (Ed. A.G. Ramm, P.N. Shivakumar and A.V. Strauss), Fields Institute Communications Vol. 25 , Amer Math. Soc., Providence, 2000, pp. 179-185. D. Alpay, J.A. Ball and V. Bolotnikov, On the bitangential interpolation problem for contractive Valued fu nctions in the polydisk, J.Operator Theory 44 (2000), 277-301. J.A. Ball and J. Chudoung, Comparison theorems for viscosity solutions of a system of Quasivariational inequalities with application to optimal control with switching costs, J. Math. Anal. Appl 251 (2000), 40-64. J.A. Ball, T.T. Trent and V. Vinnikov, Interpolation and commutant lifting for multipliers on Reproducing kernel Hilbert spaces, in Operator Theory and Analysis: The M.A. Kaashoek Anniversary Volume (Workshop in Amsterdam, Nov. 1997), OT 122, Birkhauser-Verlag, Basel-Boston, 2001 pp. 89- 138.

J.A. Ball, J. Chudoung and M.V. Day, Robust optimal stopping-time control for nonlinear systems, Applied Mathematics & Optimization 46 (2002), 1-29. J.A. Ball, J. Chudoung and M.V. Day, Robust optimal switching control for nonlinear systems, SIAM J. Control & Optimization, 41 (2002), 900-931.

Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve, in Systems, Approximation, Singular Integral Operators, and Related

Topics: International Workshop on Operator Theory and Applications IWOTA 2002 (Ed. A.A. Borichev and N.K. Nikolski), OT 129 Birkhauser, pages 37-56 (with V. Vinnikov).

J.A. Ball and V. Bolotnikov, On a bitangential interpolation problem for contractive valued functions on the unit ball, Linear Algebra and Applications 353 (2002) 107-147. J.A. Ball and V. Bolotnikov, A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur-Agler class, J. Math. Anal. Appl., 273 (2002),28-348.

Articles to Appear: Concrete interpolation of meromorphic matrix functions on Riemann surfaces, in Birkhauser OT volume dedicated to H. Dym, to appear (22 pages) (with K. Clancey and V. Vinnikov) Toeplitz corona problem for algebras of almost periodic functions, Birkhauser OT volume dedicated to B. Silbermann (ed. A. Bottcher), 13 pages, to appear

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J.A. Ball and M. Petersen, Nonlinear minimal square spectral factorization, International Journal of Control, to appear. J.A. Ball and V. Bolotnikov, A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space, Integral Equations and Operator Theory, to appear.

J.A. Ball and M. Petersen, Nonlinear minimal square spectral factorization, Int. J.Control, to appear.

Articles in Preparation:

J.A. Ball and V. Vinnikov, Multidimensional linear systems, scattering, unitary dilations And operator model theory for row contractions, in preparation. J.A. Ball and V. Vinnikov, Multidimensional discrete-time systems, algebraic curves and Commuting nonunitary operators, in preparation. J.A. Ball, C. Sadosky and V. Vinnikov, Scattering systems with several evolutions and Multidimensional input-state-output systems, in preparation.

CHRISTOPHER BEATTIE Area of Specialization: Numerical Analysis and Spectral Estimation Recent Publications in Professional Journals:

E. Matheu, M. P. Singh, and C. Beattie, Output-Feedback Sliding-Mode Control with Generalized Sliding Surface for Civil Structures under Earthquake Excitation. Journal of Earthquake Engineering and Structural Dynamics, 27, pp. 259-282 (1998). C. Beattie, Harmonic Ritz and Lehmann Bounds, Electronic Transactions of Numerical Analysis (ETNA), 7, pp. 18-39, (1998). C. Beattie, Galerkin Eigenvector Approximations, Mathematics of Computation. 69, pp.1409-1434. (2000) M. G. Marmorino, J. C. Schug, and C. Beattie, Lower Bound Problems and Bounds to Atomic Ionization Energies, Int. J. Quantum Chem. 77 (4), pp 779-784 (2000) D.J. Leo, E. Austin, and C. Beattie “Constrained substructure approach to optimal strain energy analysis,” ASME Journal of Vibration and Acoustics, vol. 123, no. 3, pp. 340-346. (2001). C. Beattie and W. M. Greenlee, Convergence Theorems for Intermediate Problems II, Proc. Royal Soc. Edinburgh. 132A pp. 1057-1072 (2002)

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C. Beattie and I. C. F. Ipsen, Inclusion Bounds for Matrix Eigenvalues,Linear Algebra and its Applications. 358, pp.281-291 (2003)

Articles Accepted: Convergence of restarted Krylov subspaces to invariant subspaces, (with M. Embree and J. Rossi), accepted in SIAM J. Matrix Analysis and Applications

JEFFREY BORGGAARD Area of Specialization: Numerical Analysis, Optimal Design and Control, Scientific Computation Recent Publications in Professional Journals:

Optimal Shape Design in Forced Convection Using Adaptive Finite Elements (with D. Pelletier) in Proceedings of the 36th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 98-0908 (January, 1998). Observations in Adaptive Refinement Strategies for Optimal Design (with D. Pelletier), in Computational Methods for Optimal Design and Control, J. Borggaard, J. Burns, E. Cliff and S. Schreck editors, Birkhauser, pages 59–76, (1998). A Continuous Sensitivity Equation Approach to Optimal Design in Mixed Convection (with D. Pelletier and E. Turgeon), in Proceedings of the 1999 AIAA Thermophysics Conference, AIAA Paper Number 99-3625 (June 1999). A Two-Dimensional Model for Simulating the Fate of Subsurface-Banded Nitrogen (with S. Shah and M.L. Wolfe), in Proceedings of the 1999 ASAE Annual International Meeting, ASAE Paper Number 99-2140 (July 1999). A Continuous Sensitivity Equation Method for Conduction and Phase Change Problems (with D. Pelletier and J.-F. H´ etu), in Proceedings of the 38th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2000-0881 (January 2000). A Continuous Sensitivity Equation Approach to Optimal Design in Mixed Convection (with D. Pelletier and ´ E. Turgeon), Numerical Heat Transfer, Part A: Applications, Vol. 38, No. 8, pages 869–885 (2000). A Study of Optimal Cooling Strategies in Thermal Processes (with D. Pelletier and ´ E. Turgeon), in Proceedings of the 38th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2000-563 (January 2000).

Recent Advances in Numerical Techniques for the Design and Analysis of COIL Systems (with W.

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Eppard, W. McGrory, A. Godfrey and E. Cliff), in Proceedings of the 31st AIAA Plasmadynamics and Lasers Conference, AIAA Paper Number 2000-2576 (June 2000). A General Continuous Sensitivity Equation Formulation for Complex Flows (with D. Pelletier and ́E. Turgeon), in Proceedings of the 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Design, AIAA Paper Number 2000-4732 (September 2000). A Continuous Sensitivity Equation Method for Flows with Temperature Dependent Properties (with D. Pelletier and ´ E. Turgeon), in Proceedings of the 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Design, AIAA Paper Number 2000-4821 (September 2000). Sensitivity and Uncertainty Analysis for Variable Property Flows (with D. Pelletier and ´ E. Turgeon), in Proceedings of the 39th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2001-0140 (2001). Adaptivity, Sensitivity and Uncertainty: Towards Standards in CFD (with D. Lacasse, D. Pelletier and ´ E. Turgeon), in Proceedings of the 39th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2001-0192 (2001). A Sensitivity Equation Method for Conduction and Phase Change Problems (with D. Pelletier), in Nonsmooth/Nonconvex Mechanics: Modeling, Analysis and Numerical Methods, (Nonsmooth Optimization and Applications Series, Volume 45), D. Gao, R. Ogden and G. Stavroulakis, editors, Kluwer Academic, pages 43–68 (2001). Application of a Sensitivity Equation Method to the k–_ Model of Turbulence (with ´ E. Turgeon and D. Pelletier), in Proceedings of the 15th AIAA Computational Fluid Dynamics Conference, AIAA Paper Number 2001-2534 (2001). A General Continuous Sensitivity Equation Formulation for the k–_ Model of Turbulence (with ´ E. Turgeon and D. Pelletier), in Proceedings of the 15th AIAA Computational Fluid Dynamics

Conference, AIAA Paper Number 2001-3000 (2001). Sensitivity and Uncertainty Analysis for Variable Property Flows (with D. Pelletier and ´ E. Turgeon), in Proceedings of the 39th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2001-0140 (2001). Adaptivity, Sensitivity and Uncertainty: Towards Standards in CFD (with D. Lacasse, D. Pelletier and ´ E.Turgeon), in Proceedings of the 39th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2001-0192 (2001). On Efficient Solutions to the Continuous Sensitivity Equation Using Structured Automatic Differentiation(with A. Verma), SIAM Journal on Scientific Computing, Vol. 22, No. 1, pp. 39–62 (2001). Parametric Uncertainty Analysis for Thermal Fluid Calculations (with D. Pelletier and ´ E. Turgeon),

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Journal of Nonlinear Analysis: Series A, Theory and Methods, Vol. 47, pages 4533–4543 (2001). Reduced Order Controllers for Burgers’ Equation with a Nonlinear Observer (with J. Atwell and B. King), International Journal of Applied Mathematics and Computational Science, Vol. 11, No. 6, pages 1311–1330 (2001). Sensitivity Analysis with Sliding Boundary Conditions (with E. Cliff and A. Godfrey), in Proceedings of the 40th AIAA Aerospace Sciences Meeting and Exhibition, AIAA Paper Number 2002-0100 (2002). Sensitivity and Uncertainty Analysis for Turbulent Flows (with S. ́Etienne, D. Pelletier and ́E. Turgeon), in Proceedings of the 40th AIAA Aerospace Sciences Meeting and Exhibition, AIAA Paper Number 2002-0985 (2002). Reliable Sensitivity Analysis via an Adaptive Sensitivity Equation Method (with D. Pelletier, ́E. Turgeon and S. ´ Etienne), in Proceedings of the 3rd Theoretical Fluid Mechanics Meeting, AIAA Paper Number 2002-2758 (2002). A Continuous Control Design Method (with J. Burns), in Proceedings of the 3rd Theoretical Fluid Mechanics Meeting, AIAA Paper Number 2002-2989 (2002). On Sensitivity Analysis for Problems with Numerical Noise (with D. Pelletier and K. Vugrin), in Proceedings of the 9th AIAA Multidisciplinary Analysis and Optimization Meeting, AIAA Paper Number 2002-5553 (2002). Parametric Uncertainty Analysis in a Phase Change Model (with J.-F. H`etu and D. Pelletier), in Proceedings of the 9th AIAA Multidisciplinary Analysis and Optimization Meeting, AIAA Paper Number 2002-5601 (2002). A General Continuous Sensitivity Equation Formulation for Complex Flows (with ´ E. Turgeon and D. Pelletier), Numerical Heat Transfer: Part B, Fundamentals, Vol. 42, No. 6, pages 485–498 (2002).

Articles in Press/to Appear:

A Sensitivity Equation Method for Conduction and Phase Change Problems (with D. Pelletier), in Nonsmooth/Nonconvex Mechanics: Modeling, Analysis and Numerical Methods, Kluwer Academic, pp. 43–68, in press.

EZRA ALLAN BROWN Areas of Specialization: Number Theory, Graph Theory, Combinatorics Recent Publications in Professional Journals:

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Square Roots from 1; 24, 51, 10 to Shanks, College Mathematics Journal 30 (1999), 82-95. Three Fermat trails to elliptic curves, College Mathematics Journal 31 (2000), 162-172. The many names of (7,3,1), Mathematics Magazine 75 (2002), 83-94. Elliptic curves from Mordell to Diophantus and back (with Bruce Myers), American Mathematical Monthly 109 (2002), 639-649. Three connections to continued fractions, Pi Mu Epsilon Journal 11 (2002), 353-362.

Articles Accepted:

Configurations with subset restrictions (with Theresa P. Vaughan), to appear in the Journal of Combinatorial Mathematics and Combinatorial Computing.

Articles Submitted:

Elliptic curves with compact parameters (with Bruce T. Myers and Jerome A. Solinas). Jacobians of hyperelliptic curves with compact parameters (with Bruce T. Myers and Jerome A. Solinas).

The (11,5,2) biplane and the incomparable twins.

Articles in Preparation:

What Is This Thing Called i? Moving the Earth and Filling the Universe with Sand.

Book Review:

Extended Review (solicited by the Editors) of “Early Astronomy” by Hugh Thurston (Springer-Verlag, 1996), American Mathematical Monthly 104 (1997), 988-991.

JOHN A. BURNS Areas of Specialization: Control Theory, Differential Equations and Applied Mathematics Recent Publications in Professional Journals:

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A Projection Method for Accurate Computation of Design Sensitivities (with L.G. Stanley and D.L. Stewart), Optimal Control: Theory, Algorithms, and Applications, W.W. Hager and P.M. Pardalos, Eds., Kluwer Academic Press , 1998, 40-66.

System Dynamics and Feedback Control Formulations for Real Time Dynamic Traffic Routing, (with S. Kang, P. Kachroo and K. Özbay), Journal of Mathematical and Computer Modeling, Vol. 27, No. 9, (1998), 27-49. A Note on Numerical Stationary Solutions for the Viscous Burgers' Equation (with A.Balogh, D. Gilliam and V. Shubov), Journal of Math. Systems, Estimation, and Control, Vol. 8, No. 2, (1998), 253-256. Full electronic manuscript published March, 1998, 16 pp. Retrieval code: 55578. A Note on the Mathematical Modelling of Damped Second Order Systems (with B.B. King), Journal of Math. Systems, Estimation, and Control, Vol. 8, No. 2, (1998), 189-192.Full electronic manuscript published March, 1998, 12 pp. Retrieval code: 82674. A Projection Method for Accurate Computation of Design Sensitivities (with L.G. Stanley and D.L. Stewart), Optimal Control: Theory, Algorithms, and Applications, W.W. Hager and P.M. Pardalos, Eds., Kluwer Academic Press , 1998, 40-66. Control of a Thermal Fluid Using State Estimators (with B. B. King and D. Rubio), International Journal of Computational Fluid Dynamics, Vol. 11, (1998), 393-112. Computational Methods for Optimal Design, Edited by Jeff Borggaard, John. Burns, Eugene Cliff and Scott Schreck, Progress in Systems and Control Theory, Birkhäuser, Boston, 1998, 475 pages. On the Design of Feedback Controllers for a Convecting Fluid Flow via Reduced Order Modeling, (with B. B. King and D. Rubio), 1999 IEEE International Conference on Control Applications, 1157-1162. A Note on the Use of transformations in Sensitivity Computations for Elliptic Systems (with Lisa Stanley), Journal of Mathematical and Computer Modeling, 33 (2001), 101-114. Numerical Methods for Approximating Functional Gains in LQR Boundary Control Problems (with Kevin Hulsing), Journal of Mathematical and Computer Modeling, 33 (2001), 89-100. Parameter Differentiability of the Solution of a Nonlinear Abstract Cauchy Problem (with Pedro Morin and Ruben Spies), JMAA, 252 (2000), 18-31.

Computational Methods for Identification and Control of Nanoscale Materials (with B.B. King and O. Stein), Proc. MTNS 2000, June 2000, Perpignan, France, Paper S121_A7, 6 pages. On the Long Time Behavior of Approximating Dynamical Systems, (with J. R. Singler), Distributed Parameter Control, F. Kappel, K. Kunisch and W. Schappacher, Eds.,Springer-Verlag, 2001, pp. 73 - 86.

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Boundary Layer Control of the Viscous Burgers’ Equation, (with J. Myatt and L. Zeitsman), 2002 IEEE Conference on Control Applications, Glasgow, Scotland, 548-553. Functional Gain Computations for a 1D Parabolic Equation Using Non-Uniform Meshes, (with B. B. King and L. Zeitsman), Proceedings of 2002 MTNS, Paper 23323-5, 11 pages. On the Computation of Singular Functional Gains for Linear Quadratic Optimal, (with B.B. King and L. Zeitsman), 2002 AIAA Flow Control Conference, St. Louis, MO, June, 2002, Paper AIAA 2002-3074. The Impact of Finite Precision Arithmetic and Sensitivity on the Numerical Solution of Partial Differential Equations, (with E. Allen, D. Gilliam, J. Hill and V. Shubov), Journal of Mathematical and Computer Modeling, 35 (2002), 1165-1195. Functional Gain Computations for Feedback Control of a Thermal Fluid, (with B. B.King, A. D. Rubio and L. Zeitsman), 2002 AIAA Flow Control Conference, St. Louis, MO, June, 2002, Paper AIAA 2002-2992, 11 pages. A Continuous Control Design Method, (with J. Borggaard), 2002 AIAA Flow ControlConference, St. Louis, MO, June, 2002, Paper AIAA 2002-2989, 10 pages. Modelling Modal Based Sensors for Oscillatory Systems, (with C. Byrnes, D. Gilliam and V. Shubov), 41st IEEE Conference on Decision and Control, December 2002, Paper WeM05-2, 6 pages.

Articles Submitted: Approximation for Sensitivity Analysis of Non-Normal Distributed Parameter Systems, (with L. Zeitsman), submitted.

A Reduced Basis Approach to the Design of Low Order Feedback Controllers for Nonlinear Continuous Systems (with B.B. King), Journal of Vibration and Control, to appear.

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MARTIN V. DAY Areas of Specialization: Stochastic Processes Recent Publications in Professional Journals:

On Lagrange Manifolds and Viscosity Solutions (summary), J. Math. Systems, Estimation and

Control 8 (1998), pp. 369-372. Robust L 2 -Gain Control for Nonlinear Systems With Projection Dynamics and Input Constraints: An Example From Traffic Control (co-authored with J. Ball, T. Yu and P. Kachroo), Automatica 35 (1999), pp. 429-444. Mathematical Approaches to the Problem of Noise Induced Exit., in Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W. H. Fleming, (W. M. McEneaney, G. G. Yin and Q. Zhang, eds.), Birkhäuser, Boston, 1999. Robust Feedback Control of a Single Server Queueing System (co-authored with J. A. Ball and P. Kachroo), submitted to Mathematics of Control, Signals and Systems 12 (1999) pp. 307-345. Robust Optimal Stopping-time Control for Nonlinear Systems (co-authored with J. A. Ball and J. Chudoung), Appl. Math. & Optimization 46 (2002), pp. 1-29. Robust Optimal Switching Control for Nonlinear Systems (co-authored with J. A. Ball and J. Chudoung), SIAM J. Control and Optimization . 41 (2002), pp. 900-931. Robust Optimal Service Analysis of Single-Server Re-Entrant Queues (co-authored with J. Hall, J. Menendez, D. Potter, and I Rothstein), Computational Optimizat ion and Applications 22 (2002), pp. 261-302. Networks with Boundary-Influenced Robust Controls: Two Examples, to appear

Book Review:

Functional Integration and Partial Differential Equations, by M. Freidlin, Bulletin of the AMS 17 (1987), pp. 346-351.

DANIEL FARKAS Area of Specialization: Algebra Recent Publications in Professional Journals:

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D. R. Farkas and G. Letzter, “Ring theory from symplectic geometry,” Journal of Pure and

Appl. Algebra, Vol. 125, No. 1-3, 1998, 155-190. D. R. Farkas, “Poisson polynomial identities,” Comm. in Algebra, Vol. 26(2), 1998, 401-416.

D. R. Farkas, “Poisson polynomial identities II,” Archiv der Math., Vol. 72, 1999, 252-260.

D. R. Farkas, C. Geiss, E. L. Green, and E. N. Marcos, “Diagonalizable derivations of finite Dimensional algebras I,” Israel Journal of Math., Vol. 117, 2000, 157-181. D. R. Farkas and P. A. Linnell, “Trivial units in group rings,” Canad. Math. Bull., Vol. 43, 2000, 60-62. D. R. Farkas, “Modules for Poisson algebras,” Comm. in Algebra, Vol. 28(7), 2000, 3293-3306. D. R. Farkas, “A ring-theorist’s description of Fedosov quantization,” Letters in Math. Physics, Vol. 51, 2000, 161-177. D. R. Farkas, C. Geiss, E. N. Marcos, “Smooth automorphism group schemes,” in Representations of Algebras, Lect. Notes in Pure and Appl. Math., Vol. 224, Marcel Dekker, New York, 2002, 71-90. D. R. Farkas, E. L. Green, and E. N. Marcos, “Diagonalizable derivations of finite-dimensional algebras II,” Pacific Journal of Math., Vol. 196, 2000, 341-352. W. D. Klemperer and D. R. Farkas, “Impacts on economically optimal timber rotations when future land use changes,” Forest Science, Vol. 47(4), 2001, 520-525. D. R. Farkas and L. W. Small, Algebras which are nearly finite dimensional and their identities, Israel Journal of Math., Vol. 127, 2002, 245-251. J. Alev and D. R. Farkas, "Finite group actions on Poisson algebras", to appear in birthday volume for A. A. Kirillov.

WILLIAM J. FLOYD Area of Specialization: Topology and Geometric Group Theory Recent Publications in Professional Journals:

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J. W. Cannon, W. J. Floyd, and Walter R. Parry, Conformal modulus: the graph paper invariant, Geometric Group Theory Down Under, (J. Cossey, C. Miller III, W. Neumann, M. Shapiro, eds.) pp. 71--102, Berlin: de Gruyter 1999 J. W. Cannon, W. J. Floyd, and Walter R. Parry, Sufficiently rich families of planar rings, Ann. Acad. Sci. Fenn. Math. 24 (1999), 265-304.

Crystal growth, biological cell growth, and geometry (with J. W. Cannon and W. R. Parry), Pattern Formation in Biology, Vision and Dynamics. (A. Carbone, M. Gromov, P. Prusinkiewics, eds.),

pp. 65--82, World Scientific 2000

J. W. Cannon, W. J. Floyd, and W. R. Parry ,”Introduction to twisted face-pairings."Math. Res. Lett. 7 477-491 (2000) J. W. Cannon, W. J. Floyd, and W. R. Parry, “Finite subdivision rules." Conform.Geom. Dyn. 5 153-196 (2001) (electronic) J. W. Cannon, W. J. Floyd, and W. R. Parry, Twisted face-pairing 3-manifolds, Trans. Amer. Math. Soc. 354 (2002), 2369 – 2397 (electronic) William Floyd, Brian Weber, and Jeffrey Weeks, The Achilles’ heel of O(3,1)?, Exp. Math. 11 (2002), 91 – 97

Article in Preparation:

J. W. Cannon, W. J. Floyd, and W. R. Parry, Combinatorially regular polyomino tilings.

J. W. Cannon, W. J. Floyd, and W. R. Parry, Expansion complexes for finite subdivision rules I.

J. W. Cannon, W. J. Floyd, and W. R. Parry, Expansion complexes for finite subdivision rules II.

J. W. Cannon, W. J. Floyd, and W. R. Parry, A survey of twisted face-pairing 3-manifolds.

DAVID Y. GAO Area of Specialization: Solid Mechanics, Applied PDEs and Nonsmooth Analysis, Optimization, Computational Mathematics & Mechanics. Recent Publications in Professional Journals:

Gao, D.Y. Duality, triviality and complementary extremum principles for nonconvex parametrical variational problems with applications, IMA J Appl. Math. 61, 3, 1-31, 1998.

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Gao, D.Y. Bi-complementarity and duality: An unified approach and application in elastoplastic beam theory with a concave obstacle, J. Math. Anal. Appl. 221, 672-697, 1998 Gao, D.Y. Russell, D.L. An extended beam theory for smart materials applications, Part II: Static formation problems, Appl. Math. Optimization. 38, 69-94, 1998. General Analytic Solutions and Complementary Variational Principles for Large Deformation Nonsmooth Mechanics, Meccanica, 34, 1999, 169-198. Duality-Mathematics, Wiley Encyclopedia of Electrical and Electronical Engineering, 6, 1999, 68-77 Pure complementary energy principle and triality theory in finite elasticity. Mech. Res. Comm., 26, 1999, 31-37

General Analytic Solution for Fully Nonlinear, Nonconvex Variational Problems, Problems of nonlinear Analysis in Engineering Systems. An International Journal of IFNA-ANS, 1(9),1999. Finite deformation beam models and triality theory in dynamical post-buckling analysis, Int. J. Non-Linear Mechanics, 35, 2000, 103-131.

Gao, D.Y., Duality Principles in Nonconvex Systems: Theory, Methods and Applications. Kluwer Academic Publishers, Boston/Dordrecht/London, 2000, xviii+454pp. Gao, D.Y., R.W. Ogden and G. Stavroulakis, Nonsmooth and Nonconvex Mechanics: Modelling, Analysis and Numerical Methods. Kluwer Academic Publishers, Boston/Dordrecht/London, 2001, xliv+471pp. Gao, D.Y. and R.W. Ogden, Advances in Mechanics and Mathematics, AMMA2002, Kluwer Academic Publishers, Boston/Dordrecht/London. Gao, D.Y. and R.W. Ogden, IUTAM Proceedings on Duality, Complementarity and Symmetry in Nonlinear Mechanics, 2002, Kluwer Academic Publishers, Boston/Dordrecht/London.

Recent Papers in Encyclopedia:

Gao, D.Y. Minimax and Triality Theory in Nonsmooth Variational Problems, in reformulation Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, ed. by M. Fukusuma and Liquen Qi, Kluwer Academic Press. pp. 161-179, 1998.

Gao, D.Y., Duality-Mathematics, in Wiley Encyclopedia of Electrical and Electronics Engineering, Ed. by John Webster, Jonn Wiley & Sons, Inc., Vol. 6, pp. 68-77,1999 Gao, D.Y., Saddle Lagrange Duality in Convex Optimization, in Encyclopedia of Optimization,

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C. A. Floudas and P.D. Pardalos (eds). Kluwer Academic Publishers, 2001. Gao, D.Y., Bi-Duality in Nonconvex Optimization, in Encyclopedia of Optimization, C. A. Floudas and P.D. Pardalos (eds). Kluwer Academic Publishers, 2001. Gao, D.Y., Tri-duality in Global Optimization, in Encyclopedia of Optimization, C. A. Floudas and P.D. Pardalos (eds). Kluwer Academic Publishers, 2001. Gao, D. Y 2000. Canonical Dual Control for Non-convex Distributed-Parameter Systems: Theory and Method, in Control of Nonlinear Distributed Parameter Systems, Goong Chen, Irena Lasiecka and Jianxin Zhou (eds). Marcel Dekker, 85-112. Gao, DY and Russell, DL 1997. Finitely deformed thick bean theory and dual variational extremum principles in post-buckling analysis, Proc. of the 14th Army Symposium on Solid Mechanics, ed. by Kailasan Iyer and SC Chou, Battelle Press, pp. 497-506 Gao, D.Y. 2000. Nonsmooth and nonconvex dynamics: Duality, polarity and complementary extrema, in Nonsmooth/Nonconvex Mechanics: Theory, Methods and Algorithms, D.Y. Gao, R.W. Ogden and G. E. Stavroulakis (eds), Kluwer Academic Publishers, 95-140. Gao, D.Y. 2000. Duality in nonconvex finite deformation theory: A survey and unified approach, in From Convexity to Nonconvexity: A Volume dedicated to the memory of Professor Gaetano Fichera, R. Gilbert, P.D. Panagiotopoulos and P. Pardalos (eds.) Kluwer Academic Publishers: Dordrecht, 69-84. Gao, D.Y., Complementarity, polarity and triality in nonsmooth, nonconvex and nonconservative Hamiltonian systems, Philosophical Transactions of the Royal Society: Mathematical, Physical and Engineering Sciences, December, 2001. Gao, D.Y., Analytic solution and triality theory for nonconvex and nonsmooth variational problems with applications, Nonlinear Analysis, 42, 7, 2000, 1161-1193. Gao, D.Y., Canonical dual transformation method and generalized triality theory in nonsmooth global optimization, J. Global Optimization, 17(1/4), 2000, 127-160 Gao, D.Y., Finite deformation beam models and triality theory in dynamical post-buckling analysis. Int. J. Non-Linear Mechanics, 35, 2000, 103-131. Gao, D.Y., Duality and triality in non-smooth, nonconvex and nonconservative systems: A survey, new phenomena and new results, in Nonsmooth/Nonconvex Mechanics with Applications in Engineering, edited by C. Baniotopoulos. Thessaloniki, Greece. pp. 1-14. Gao, D.Y. and Lin, P (2002), Triality and algorithm for Landau-Ginzburg equation, Proceedings of the 4th International Conference on Nonlinear Mechanics, W.Z. Chien (ed), Shanghaui University Press, 2002.

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Gao, D.Y. and Lin, P (2002), Calculating global minimizers of a nonconvex energy potential, in Recent Advances in Computational Science & Engineering, edited by H.P. Lee and K. kumar, Imperial College Press, pp. 696-7000.

Articles to Appear:

Gao, D.Y., Canonical duality principle, algorithm and complete solutions to Landau-Ginzburg equation, invited paper to appear in J. Mathematics and Mechanics of Solid, special issue edited by D. Steigmann. Gao, D. Y. and Ogden, R.W., Complementary-Dual-Polar Variational Extremum Principles in Finite Deformation Theory: I. Hyper-Elasticity, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. To appear.. Gao, D.Y., Saddle Lagrange Duality in Convex Optimization, to appear in Encyclopedia of Global Optimization, Kulwer Academic Publishers, 2000. Gao, D.Y., Bi-duality and bi-complementarity in constrained optimization, to appear in Encyclopedia of Global Optimization, Kulwer Academic Publishers, 2000. Gao, D.Y., Triality in nonconvex optimization, to appear in Encyclopedia of Global Optimization, Kulwer Academic Publishers, 2000. David Y. Gao, Jie-Fang Li and D. Viehland, Triality theory to Landau-Ginzburg equation in imperfect ferroelectrics, Proceedings of the 4th International Conference on Nonlinear Mechanics, W.Z. Chien (ed), Shanghaui University Press, 2002. to appear in Physics Review.

Monograph Authored:

Gao, D.Y., Duality Principles in Nonconvex Systems, Theory, Methods and Applications, Kluwer Academic Publishers, Boston/Dordrecht/London, 1999, pp. 472

Book Edited:

Gao, D.Y., Ogden, R.W. and G. Stavroulakis, Nonconvex and Nonsmooth Mechanics, Kluwer Academic Publishers, Boston/Dordrecht/London, 2000.

EDWARD L. GREEN Areas of Specialization: Representation theory of algebras, computational algebra Recent Publications in Professional Journals:

E.L. Green and B. Huisgen-Zimmermann (eds) Trends in the representation theory of finite dimensional

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algebras, Contemporary Mathematics, 229, (1998) 356 pages. E. Green, and O.Solberg, Basic Hopf algebras and quantum groups, Math. Zeitschrift, 299 ( 1998), 45-76. E. Green, R.Martinez-Villa, I. Reiten, O.Solberg and D. Zacharia, On modules with linear presentations, J. Algebra, 205, (1998), 578-604. G. Brunick, L. Heath, C. Struble, E.L. Green, Efficient Construction of Drinfel’d Doubles, ISSAC’99. E.L.Green, Multiplicative bases, Groebner bases, and right Groebnerbases, J. Symbolic Computation, (2000), 29, 601-623. E.L. Green, and E.N. Marcos, Self-dual Hopf algebras, Comm. InAlgebra, 28, (2000), 6, 2735-2744. D. Farkas, C. Geiss, E.L. Green, and E.N. Marcos, Diagonalizable derivations of finite-dimensional algebras, I, Israel J. Math., 1117, (2000),157-181, D. Farkas, E.L. Green, and E. N. Marcos, Diagonalizable derivations of finite-dimensional algebras, II , Pacific J. Math., 196, 2, (2000), 341-351. E.L. Green, S. Horsten, R. Laubenbacher, V. Powers (eds) Symbolic computation: solving equations in algebra, geometry, and engineering, Proc. of the AMS-IMS-SIAM Joint Summer Research Conf., Contemporary Mathematics, 286, AMS, Providence RI, 240pp (2001) E.L. Green, I. Reiten, O. Solberg, Dualities on Generalized Koszul Algebras, Memoirs of the Amer. Math. Soc., 754, 67 pp, (2002) Constructiong Homomorphism Spaces and Endomorphism Rings, with L. Heath and C. Struble, J. Symbolic Comp., 32, 101-117, (2001) Hochschild cohomology rings and triangular rings, (with O. Solberg) Proc. Of ICRA, Beijing China 2000. Koszul and quasi-Koszul algebras obtained from tilting, (R. Aquino and E. Marcos, Colloq Math.) Aquino, R.M.; Green, E.L.; Marcos, E.N., Koszul and quasi-Koszul algebras obtained by tiliting. Colloq. Math., 92 (2002), no. 2., 197-224. Green, Edward L.; Solberg, Øyvind; Hochschild cohomology rings and triangular rings, Proceedings of the Ninth International Conference, Beijing, 2000, eds. D.Happel and Y. B. Zhang, Beijing Normal University Press, vol. II, 2002, 192-200.

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Articles accepted:

Green, E.L, Marcos, E.N., Snashall, N., The Hochschild Cohomology Ring of a One Point Extension.

Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; The Hochschild cohomology ring of a selfinjective algebra of finite representation type, Proc. AMS., to appear, preprint 2001

Articles to Appear:

E. Green, and E. Marcos, “Graded algebras of local finite representation type”, to appear Quaestiones Mathematicae. J. Carlson, E. Green, and G. Schneider, “Computing the Ext-algebra of finite groups”, to appear, J. Symbolic Computation.

Articles Submitted: E. Green, and O. Solberg, “Basic Hopf algebras and quantum groups”, Math. Zeitschrift, Submitted E. Green, and R. Martinez-Villa, “Koszul and Yondeda algebras II”, submitted E. Green, R. Martinez-Villa, I. Reiten, O. Solberg and D. Zacharia, “On modules with linear presentations”, submitted. E. Green, “Introduction to Groebner bases and their applications”, submitted.

Chapter in Book: E. Green, Introduction to Koszul algebras, Auslander Memorial Conference, London Math. Soc.

E. Green, T. Mora, V. Ufnarovski, The noncommutative Groebner freaks, Progr. Comput. Sci. Appl. Logic 15, Birkhauser, Basel 1998, 93-104. E. Green, and R. Martinez-Villa, Koszul and Yondeda algebras II, CMS Conf.Proc. 24, American Math. Soc. Providence RI 1998.

Book appeared:

E.L. Green, I Reiten, O. Solberg, “Dualities on Generalized Koszul Algebras”, Memoir of the Amer. Math Soc., Vol. 159, Num. 754, Providence RI, pp1-67.

WILLIAM GREENBERG Area of Specialization: Mathematical Physics

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Jones, J., W. Greenberg and M. Ayers, "Computed Tomographic Evaluation of Dinosaur Egg Shell Integrity," Journal of Veterinary Radiology and Ultrasound 39, 133-136 (1998) Chen, J., W. Greenberg and R.L. Bowden, "Existence of Solutions and Dynamical Models of Chandrasekhar H-Equations," in Mathematical Models of Non-Linear Excitations, Transfer, Dynamics and Control in Condensed Systems and Other Media, L.A. Uvarova, AE Arinstein and A.V. Latyshev, eds., Plenum, New York, 1999. Greenberg, W. "Mathematical Models in Nonlinear Statistical Mechanics," Journal of Transport Theory and Statistical Physics 28, 191-194 (1999). Loganathan, G. V., W. Greenberg, L. Holub and C. Moore, "The Deflected Beam in Differential Calculus," 1999 American Society of Engineering Education Conferences, sess. 3565, CD-ROM, ASEE, 1999. Greenberg, W., "Mathematical Analysis in Engineering: Reform of the Calculus in the United States," in International Conference on Engineering and Computer Education: Technology-Based Education and Globalization, H. H. Figueroa, ed., CD-ROM, ABENGE, Rio de Janeiro, 1999. W. Greenberg, “Particle Transport in Gases, Plasmas, Semiconductors and Nuclear Systems,” Transport Theory and Statistical Physics 30, 91 – 118 (2001), with J. Dorning, P. Nelson, D. Song and P. Zweifel W. Greenberg, “Asymptotics of the Neutron Transport Equation for Spherical Geometry in L2 with Reflecting Boundary Conditions,” in Mathematical Models of NonlinearExcitations, Transfer, Dynamics and Control in Condensed Systems and Other Media,”L.A. Uvarova, A.E. Arenstein, A.V. Latyshev, eds., Kluwer Academic/Plenum Publ.,New York, 2001, 12 pp., with D. Song W. Greenberg, “Spectral Properties of Transport Equations for Slab Geometry in L1 with Reentry Boundary Conditions,” Transport Theory and Statistical Physics 30, 325 – 356 (2001), with D. Song L.A. Uvarova, A.E. Arenstein, A.V. Latyshev, eds., Kluwer Academic/Plenum Publ., New York, 2001, 12 pp., with D. Song

Articles to Appear: Greenberg, W., “Interactive Methods in the Teaching of Engineering Calculus, “ to appear in IEEE Transactions on Education.

Greenberg, W., “University Consortium for Sub-Sahara Africa: ICTA to appear in African Journal for Technology and Innovation.

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Articles Submitted:

Greenberg, W., J. Chen and R.L. Bowden, "Discrete Dynamical Systems in Solving Chandrasekhar H-Equations," submitted for publication

Greenberg, W., "Stationary Kinetic Equations: Existence, Uniqueness and Representation of Solutions," submitted to Trends in Statistical Physics.

Greenberg, W. and A. Latyshev, Linear Models of Gas Kinetic Theories, monograph in preparation.

Greenberg, W. and D. Song, “Spectral Properties of the Neutron Transport Equation for Spherical Geometry in the Setting of L 1 , submitted for publication, 20 pp.

GEORGE HAGEDORN Area of Specialization: Mathematical Physics Recent Publications in Professional Journals:

"Classification and Normal Forms for Avoided Crossings of Quantum Mechanical Energy Levels,” J. Phys. A. 31, 369-383 (1998).

"Landau-Zener Transitions through Small Electronic Eigenvalue Gaps in the Born-Oppenheimer

Approximation,” Ann. Inst. H. Poincare Sect. A. 68, 85-134 (1998), (with Alain Joye).

“Raising and Lowering Operators for Semiclassical Wave Packets,” Ann. Phys. 269, 77-104 (1998).

“Bohr-Sommerfeld Quantization Rules in the Semiclassical Limit,” J. Phys. A. 31, 10113-10129 (1998).

“Molecular Propagation through Small Avoided Crossings of Electronic Energy Levels,” Rev. Math. Phys. 11, 41-101 (1999), (with Alain Joye).

“Semiclassical Dynamics with Exponentially Small Error Estimates,” Commun. Math. Phys. 207, 439-465 (1999), (with Alain Joye). “Approximate Rydberg States of the Hydrogen Atom that are Concentrated near Kepler Orbits,” Helvetica Physica Acta, Math Physics. 207 439-465 (1999) (with Sam Robinson). “Resonances in a Box,” J. Math. Phys. 41, 103-117 (2000), (with Bernhard Meller).

Hagedorn, G.A.: Molecular Propagation through Crossings and Avoided Crossings of Electron Energy Levels. Equadiff 99 (Vol. 2) Proceedings of the International Conference on Differential Equations. ed. by B. Fiedler, K. Groger, and J. Sprekels. pp. 1235-1240, 2000.

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Hagedorn, G.A. and Joye, A.: Exponentially Accurate Semiclassical Dynamics: Propagation, Localization, Ehrenfest Times, Scattering, and More General States. Ann. H. Poincare 1, 837-883 (2000). Hagedorn, G.A. and Joye, A.: Semiclassical Dynamics and Exponential Asymptotics, in Differential Equations and Mathematical Physics: Proceedings of an International Conference held at the University of Alabama at Birmingham, March 16-20, 1999. ed.by R. Weikard and G. Weinstein. pp. 181-195, 2000.

Hagedorn, G. A. and Joye, A.: A Time--Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates. Commun. Math. Phys. 223, 583–626 (2001). Hagedorn, G.A., and Joye, A.: Elementary Exponential Estimates for the Adiabatic Approximation. Journal of Mathematical Analysis and Applications, 267, 235—246 (2002).

Article Submitted, Accepted, and In Press in 2001/2002

Hagedorn, G. A. and Joye, A.: Elementary Exponential Error Estimates for the Adiabatic Approximation. J. Math. Anal. Appl. (in press).

Hagedorn, G.A.: Simplified Semiclassical Propagation Estimates. Submitted to the Proceedings of the UAB International Conference on Differential Equations and Mathematical Physics, to be published by the Amer. Math. Soc. in 2003.

KENNETH B. HANNSGEN Area of Specialization: Volterra Integral Equations Recent Publications in Professional Journals:

K.B. Hannsgen, O.J. Staffans and R. L. Wheeler, “Rational approximation of transfer functions of some viscoelastic rods, with applications to robust control,” J. Dynamical and Control Systems 5 (1999), 255 -302.

PETER E. HASKELL Area of Specialization: Index Theory Recent Publications in Professional Journals:

(with J. Fox) Index theory of perturbed Dolbeault operators: smooth polar divisors, International J. Math. 11 (2000), 201-213. (with J. Fox) Perturbed Dolbeault operators and the homology Todd class, Proceedings of the Amer. Math. Soc. 128 (2000), 3715-3721.

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(with J. Fox and C. Gajdzinski) Homology Chern characters of perturbed Dirac operators, Houston J. Math. 27 (2001), 97-121.

(with J. Fox) Heat kernels for perturbed Dirac operators on even-dimensional manifolds with bounded geometry, International J. Math., accepted for publication. (30 pages in LaTeX)

Edited:

J. Fox and P. Haskell, editors, Index Theory and Operator Algebras, Contemp. Math. vol. 148, Amer. Math. Soc., Providence, RI, 1993.

TERRY L. HERDMAN Areas of Specialization: Volterra Integral Equations, Differential Equations, Functional Differential Equations

and Applied Mathematics Recent Publications in Professional Journals:

Parameter Identification in Classes of Hereditary Systems of Neutral Type, (with F. Hartung and J.Turi), Journal of Applied Mathematics and Computation, 89, 1998, pp.147-160 A Structured Reduced Sequential Quadratic Programming and its Application to a Shape Design Problem, (with K. Kang), Journal of Computational Optimization and Applications, 11, 1998, pp. 81-100 Convergent Spectral Approximations for the Thermomechanical Processes in Shape Memory Alloys, (with P. Morin and R. Spies), Journal of Nonlinear Analysis, 39 (1), 2000, pp.11-32. On Differentiability of Solutions with respect to Parameters in State-Dependent Delay Equations, (with F. Hartung and J. Turi), Journal of Nonlinear Analysis, 39 (3), 2000, pp. 305-325 Modal Approximations for the Dynamics of Shape Memory Alloys under External Thermomechanical Actions, (with P. Morin and R. Spies), Proc. 3rd International Conference on Nonlinear Problems in Aviation and Aerospace, Editor, S. Sivasundaram, Vol. 1, 2001,pp.303-316.. Numerical Identification Techniques for Singular Neutral Functional Differential Equations, (with G. Cerezo, E. Fernandez and J. Turi), Proc. 3rd International Conference on Nonlinear Problems in Aviation and Aerospace, Editor, S. Sivasundaram, Vol. 1, 2001, pp. 163-167.

Articles to Appear: Parameter Identification for Nonlinear Abstract Cauchy Problems with Quasilinearization, (with P. Morin and R. Spies), Journal of Optimization Theory and Applications, to appear May 2002, Vol. 113, No. 2, pp.227-250.

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A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels, (with Y. Cao and Y. Xu), SIAM Journal of Numerical Analysis, to appear

JAMES R. HOLUB Area of Specialization: Functional Analysis Recent Publications in Professional Journals:

“Aspects of unconditionality of bases in spaces of compact operators”, Annales Polonici Mathematica LXVIII.1 (1998), p.27-30. “Invertibility of operators on Hilbert space defined by frames” (Bull. Polon. Acad. Sci., 50, No.3, 2002, p. 251-254. ). " Riesz bases and positive operators on Hilbert space" (Inter. Journal of Math. and Math. Sci., appeared in late 2002).

Articles Submitted: "Hilbert space and operators of rank one" (submitted). “Norms of complementary projections on Hilbert space “ (submitted).

“Kato’s projection-norm theorem in Euclidean spaces” (being written up for publication).

“ An analogue of coefficient functionals and basis expansion for frames” (being written up for publication).

“ A conjecture concerning norms of nuclear operators on finite dimensional spaces-anexample of the use of mathematical software in research mathematics” (being written up for publication). "Boundedly complete and shrinking frames" (in process). " The spectrum of a basis in Hilbert space” (in process).

“Overfilling frames” (in progress).

TRAIAN ILIESCU Areas of Specialization: Numerical Analysis, Scientific Computation, Computational Fluid Dynamics Recent Publications in Professional Journals:

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"Approximating the Larger Eddies in Fluid Motion III: the Boussinesq Model for Turbulent Fluctuations", (with W. J. Layton), An. St. Univ. "Al. I. Cuza", vol. 44, 1998, pp. 245-261. "A Flow-Aligning Algorithm for Convection-Dominated Problems", Int. J. Num. Meth. Eng., vol. 46, No. 7, 1999, pp. 993-1000. "A 3D Flow-Aligning Algorithm for Convection-Diffusion Problems", Appl. Math. Letters, vol. 4, No. 12, 1999, pp. 67-70.

"Genuinely Nonlinear Models for Convection-Dominated Problems", Preprint ANL/MCS-P857-1100, compressed postscript file, submitted to Comput. Math. Appl. "Corner Distribution of Voltage in Hall-Heroult Aluminum Reduction Cells", (with E. Gutierrez, N. Troyani and W. J. Layton), IV International Congress: Energy, Environment and Technological Innovation, Rome, 1999, pp. 1445-1451. "Distribucion de Temperatura en las Esquinas de una Celda de Reduccion de Aluminio Tipo Hall-Heroult", (with E. Gutierrez, N. Troyani and W. J. Layton), IV Congreso Iberoamericano de Ingenieria Mecanica, Santiago de Chile, Chile, 1999. "Algoritmos Computacionales para Resolver el Problema Termoelectrico en Tres Dimensiones en Celdas de Reduccion de Aluminio del Tipo Hall-Heroult", (with E. Gutierrez, N. Troyani and W. J. Layton), Universidad Ciencia y Tecnologia, Vol. 3, No.12, pp. 17-24, 1999.

"Formulacion Variacional del Problema Termoelectrico de una Celda de Reduccion Hall-Heroult en Tres Dimensiones ", (with E. Gutierrez, N. Troyani and W. J. Layton), Universidad Ciencia y Tecnologia, Vol. 3, No. 9, pp. 25-29, 1999.

"The Center Section Temperature Distribution in Hall-Heroult Aluminum Reduction Cells from a Three-Dimensional Finite Element Simulation", (with E. Gutierrez, N. Troyani and W. J. Layton), International Thermal Energy Congress, Cesme, Izmir, Turkey, July 2001. "A 3D Channel Flow Simulation at Re_{\tau}=180 Using a Rational LES Model", (with P. Fischer), Proceedings of Third AFOSR International Conference on DNS/LES, eds. C. Liu, L. Sakell, and T. Beutner, Greyden Press, 2001, pp. 283--290. "Mathematical Analysis for the Rational Large Eddy Simulation Model", (with L. C. Berselli, G. P. Galdi, and W. J. Layton), Math. Models Meth. Appl. Sc., vol. 12 (8), 2002, pp. 1131--1152. "A Higher Order Subfilter-Scale Model for Large Eddy Simulation", (with L. C. Berselli), submitted to J. Comp. Appl. Math., August 2002. "Convergence of Finite Element Approximations of Large Eddy Motion", (with V. John and W. J. Layton), Num. Meth, P.D.E.s, Vol 18 (6) 2002, pp 689-710

Articles Submitted:

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"Large Eddy Simulation of Turbulent Channel Flows by the Rational LES Model", (with P. Fischer), Preprint ANL/MCS-P938-0302, compressed postscript file, submitted to Physics of Fluids, March 2002. "Backscatter in the Rational LES Model", (with P. Fischer), Preprint ANL/MCS-P977-0702, compressed postscript file, submitted to Computers and Fluids, July 2002.

JONG UHN KIM Area of Specialization: Classical Applied Mathematics Recent Publications in Professional Journals: “ On the propagation of Holder regularity for the 3-D Euler equations,” Math. Methods in the Appl. Sciences, Vol. 21, pp. 251-268, 1998 “On the regularity of the velocity potential in two-dimensional transonic flow.” Differential and Integral equations, Vol.11, 1998, pp. 107 - 132 “ On a wave equation with a boundary condition associated with capillary waves.” SIAM J. Math. Analysis,

Vol. 30, 1999, pp. 53 - 71 “An Lp a priori estimate for the Tricomi equation in the upper half space.” Trans. Amer. Math. Soc., Vol.351, No.11, 1999, pp. 4611 – 4628. “ A new regularity result in transonic gas dynamics, “Systems Modelling and Optimization, Proc. 18th IFIP TC7 Conference, Chapman & Hall/CRC Research Notes in Math., 1999, pp. 29 - 32.

Kim, J., An Lp a priori estimate for the Tricomi equation in the upper half space, Trans.Amer. Math Soc.,Vol.351, No.11,1999, pp. 4611 – 4628. Kim, J., On a stochastic hyperbolic system in linear elasticity, SIAM J.Math Analysis, Vol.32, No.2, 2000, pp. 304 –322. Kim, J. On a stochastic plate equation, Applied Mathematics and Optimization, Vol.44, 2001, pp.33-48 Kim, J., On a stochastic nonlinear equation in one-dimensional viscoelasticity, Trans. Amer. Math. Soc., Vol.354, no.3, pp.1117-1135, 2002

Kim, J., On the stochastic Euler equations in a two-dimensional domain, SIAM J. Math. Analysis, Vol.33, no.5, pp.1211 – 1227, 2002

Articles to appear:

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Kim, J., On a stochastic scalar coservation law (to appear in Indiana Univ. Math. J. )

Articles Submitted:

Approximate controllability of a stochastic wave equation Periodic and invariant measures for a stochastic wave equation

BELINDA KING Area of Specialization: Applied and Computational Control and Optimization Recent Publications in Professional Journals:

A Note on the Mathematical Modeling of Damped Second Order Systems, ICASE Report No. 97-10; Journal of Mathematical Systems, Estimation, and Control, Summary appeared 8(1998), 189-192; Full electronic manuscript: retrieval code 82674, March 1998 (with J.A. Burns). Nonuniform Grids for Reduced Basis Design of Low Order Feedback Controllers for Nonlinear Continuous Systems, Mathematical Models and Methods in Applied Sciences, 8(1998), 1223-1241. Optimization Methods for Stable Reduced Order Partial Differential Equations, Optimal Control: Theory, Algorithms, and Applications, W.W. Hager and P.M Pardalos, eds., Kluwer Academic Publishers B.V., 1998, 278-297 (with E.W. Sachs). Feedback Control of a Thermal Fluid Using State Estimation. International Journal of Computational Fluid Dynamics, 11(1998), 93-112, (with J.A. Burns and D. Rubio). Sensor Design for Compensator Based Control of a PDE System, Proceedings of the 4th International Conference on Optimization Techniques and Applications, Perth, Australia, July 1–3, 1998, 352-359. Semidefinite Programming Techniques for Reduced Order Systems with Guaranteed Stability Margins: A Numerical Study. Virginia Tech ICAM Technical Report 98-10-01, (with E.W. Sachs). On the Design of Feedback Controllers for a Convecting Fluid Flow via Reduced Order Modeling, Proc. of the IEEE CCA/CACSD, August 1999, 1157 - 1162 (with J.A. Burns, D. Rubio). Computational Aspects of Reduced Order Feedback Controllers using Proper Orthogonal Decom-position,Proc. 38th IEEE Conference on Decision and Control, Dec. 1999, 4301 - 4306 (with J.A. Atwell). Computational Methods for Identification and Control of Nanoscale Materials, Proc. Math. Theory

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3 of Networks and Systems (MTNS) 2000, Perpignan France, June 2000 article S121 A7 (with J.A. Burns and O. Stein). Sensor Location for Feedback Control of Partial Differential Equation Systems, Proceedings of the 2000 IEEE International Conference on Control Applications, Anchorage AK, Sept. 2000, 536 -541 (with A.L. Faulds) Semidefinite Programming Techniques for Reduced Order Systems with Guaranteed Stability Margins, Computational Optimization and Applications, 17(2000), 37-59 (with E.W. Sachs). Stabilized Finite Element Methods and Feedback Control for Burgers’ Equation, Proc. of the American Control Conference, June 2000, 2745 - 2749 (with J.A. Atwell). Reduced Order Controllers for Burger’s Equation with a Nonlinear Observer, International Jounral of Applied Mathematics and Computational Science, 11(2001), 1311–1330, (with J.A. Atwell, J.T. Borggaard). Proper Orthogonal Decomposition for Reduced Basis Controllers for Parabolic Systems, Mathematical and Computer Modelling, 33(2001), 1-19, (with J.A. Atwell). On the Computation of Singular Functional Gains for Linear Quadratic Optimal Boundary Control Problems, 3rd AIAA Meeting on Theoretical Fluid Mechanics, St Louis, MO, June 2002, AIAA paper 2002-3074 (with J.A. Burns and L. Zietsman). Functional Gain computations for Feedback Control of a Thermal Fluid, 3rd AIAA Meeting on Theoretical Fluid Mechanics, St Louis, MO, June 2002, paper # AIAA 2002-2992 (with J.A. Burns, A.D. Rubio and L. Zietsman). Functional Gain Computations for a 1D Parabolic Equation Using Non-uniform Meshes, Proc. Math. Theory of Networks and Systems (MTNS) 2002, Notre Dame, IN, August 2002, article 23323 5 (with J.A. Burns and L. Zietsman). A Comparison of Balanced Truncation Techniques for Reduced Order Controllers, Proc. Math. Theory of Networks and Systems (MTNS) 2002, Notre Dame, IN, August 2002, article 23323 2. (with K.A.E. Camp). Spatiotemporal Disturbance Compensation for Nonlinear Transport Processes via Moving Actuators, Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, December 2002, (with M. A. Demetriou and N. Kazantzis).

Articles Submitted: Burgers’ Equation: Galerkin Least Squares Approximations and Feedback Control, in press, Mathematical and Computer Modelling, (with D.A. Krueger). articles Submitted

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Reduced Order Controllers for Spatially Distributed Systems via Proper Orthogonal Decomposition, Virginia Tech ICAMTechnical Report 99-07-01; submitted, SIAM J. Sci. Comp. (with J.A. Atwell). A Fourth Order Parabolic Equation Modelling Epitaxial Thin Film Growth, submitted to Journal of Mathematical Analysis and Applications, (with O. Stein, M. Winkler).

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MARTIN KLAUS Area of Specialization: Mathematical Physics Recent Publications in Professional Journals:

Aktosun T., Klaus M., van der Mee C., Wave scattering in one dimension with absorption, Journ. Math. Phys. 39 (1998) 1957-1992. Aktosun T., Klaus M., van der Mee C., Inverse scattering in one-dimensional nonconservative media, Dedicated to the memory of Mark Grigorievich Krein (1907-1989). Integral Equations and Operator Theory, 3 (1998) 279-316. Wave scattering in 1-D nonconservative media, In "Spectral and Scattering Theory," A.G. Ramm (Ed.), Plenum Press, New York, 1998, pp. 1-18. (with T. Aktosun, and C. van der Mee). Aktosun T., Klaus M., van der Mee C., On the number of bound states for the 1-D Schrödinger equation, Journ. Math. Phys. 39 (1998) 4249-4256. Fassari S. and Klaus M., Coupling constant thresholds of perturbed periodic Hamiltonians, Journ. Math. Phys., 39 (1998) 4369-4416. Aktosun T. and Klaus M., Asymptotics of the scattering coefficients for a generalized Schrödinger quation, Journ. Math. Phys., 40 (1999) 3701-3709.

Aktosun T., Klaus M., van der Mee C., Direct and inverse scattering for selfadjoint Hamiltonian systems on the line, Integral Equations and Operator Theory, 38 (2000) 129-171. Aktosun T., Klaus M., van der Mee C., Integral equations in inverse scattering. In "Boundary value problems, integral equations and related problems," J. K. Lu and G. C.Wen (Eds.), World Scientific Publishing, River Edge, NJ, 2000, pp. 13-22. Aktosun T. and Klaus M., Small-energy asymptotics for the Schrödinger equation on the line, Inverse Problems, 17 (2001) 619-632. Aktosun T. , Klaus M., van der Mee C., Small-energy asymptotics of the matrix Schrödinger equation on the line, Journ. Math. Phys., 42 (2001) 4627-4652. Aktosun T. and Klaus M., Inverse Theory: problem on the line. In "Scattering: Scattering and Inverse Scattering in Pure and Applied Science," R. E. Pike and P.Sabatier (Eds.), Section 2.2.4., Academic Press, New York, 2001. Klaus M. and Shaw K., Influence of pulse shape and frequency chirp on stability of optical solitons, Optics Communications, 197 (2001) 491-500.

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Klaus M. and Shaw K., Purely imaginary eigenvalues of Zakharov-Shabat systems, Phys. Rev. E (3), 65 (2002), 036607-1/5. Phys. Rev. E (3), 65 (2002), 036607-1/5.

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WERNER KOHLER Areas of Specialization: Stochastic Processes Recent Publications in Professional Journals: Reflection and Transmission of Acoustic Waves by a Loclly-Layered Random Slab, by W. Kohler,

G. Papanicolaou and B. White, in Diffuse Waves in Complex Media, edited by J-P. Fouque, Kluwer (1999), p. 347-381. Random Scattering in Magnetotellurics, by B. White, W. Kohler and L. Srnka, Geophysics, vol. 66, No. 1 (January-February 2001), p. 188-204.

Article to Appear:

Random Scattering and the Detection Capability of the Magnetotelluric Method, by B.White, W. Kohler and L. Srnka, to appear in the Proceedings of the IUTAM 99 Conference.

GAIL R. LETZTER Area of Specialization: Representation theory of quantum groups and enveloping algebras Recent Publications in Professional Journals:

(with D.R. Farkas) “Ring Theory From Symplectic Geometry,”, Journal of Pure and Applied Algebra, Vol. 125, No. 1-3, 1998, 155-190. “Symmetric Pairs for Quantized Enveloping Algebras”, Journal of Algebra, Vol. 220, (1999) 729-767. G. Letzter, “Harish-Chandra Modules for Quantum Symmetric Pairs,” Representation Theory (American Mathematical Society), 4 (2000), 64-96. A. Joseph, G. Letzter, and S. Zelikson, “On the Brylinski-Kostant filtration”, J. Amer. Math. Soc. 13 (2000), no. 4, 945-970. A. Joseph and G. Letzter, “On the Kostant-Parthasarathy-Rango Rao-Varadarajan Determinants, Part II, Construction of the KPRV Determinants”, Journal of Algebra, 241 (2001) 46-66. A. Joseph, G. Letzter, and D. Todoric, “On the Kostant-Parthasarathy-Rango Rao-Varadarajan Determinants, Part III, Computation of the KPRV Determinants”, Journal ofAlgebra, 241

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(2001) 67-68. "Coideal subalgebras and quantum symmetric pairs", In: New Directions in Hopf Algebras, MSRI publications 43, Cambridge University Press (2002), 117-166. (with A. Joseph) “Evaluation of the quantum affine PRV determinant,” Mathematics Research Letters 9 (2002), 307-322.

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Articles to Appear:

“Quantum symmetric pairs and their zonal spherical functions ”, Tranformation Groups, to appear.

Articles Submitted:

"Quantum Zonal Spherical Functions and Macdonald Polynomials", submitted. (with D. Farkas and L. Small, "Generalized reductive algebras and a quantum example",submitted A. Joseph and G. Letzter, “Evaluation of the quantum affine PRV determinant”, submitted.

TAO LIN Area of Specialization: Numerical Analysis, Inverse Problems Recent Publications in Professional Journals:

A C^0 finite element method for an inverse problem, Applied Mathematics and Computation, Vol. 90, pp 253-284, 1998.

Multi-Level Method For An Inverse Problem, IMACS Series in Computational and Applied Mathematics, Vol. 4, pp173-178, 1998.

A Numerical Method for Parameter Identification of a Boundary Value Problem, Applicable Analysis, Vol. 69, PP 349-379, 1998. (with E. Ramirez). Determining the Structure of a Biological Medium Using Acoustooptic Probes, Journal of Inverse and Ill-Posed Problems. (with H.T. Banks) Vol. 7, No. 1 (1999), 61-82. A Mixed Least-Squares Method for an Inverse Problem of a Nonlinear Beam Equation, Inverse Problems. (with R.E. Ewing and Y. Lin) Vol. 19, No. 1, (1999), 19-32. The Immersed Finite Volume Element Method for the Elliptic Interface Problems, Mathematics and Computers in Simulation. (with R.E. Ewing, Z. Li, and Y. Lin) 50 (1999), 63-76. R.E. Ewing, R.D. Lazarov, T. Lin, Y. Lin, Domain decomposition capabilities for the mortar finite volume element methods, Proceeding of Domain Decomposition Methods in Sciences and Engineering, the 11th International Confrence, London ,UK, pp. 220-227, 1999. T. Lin, Y. Lin, M. Rao, S. Zhang, Petrov-Galerkin methods for Volterra integrodifferential equations, SIAM Journal on Numerical Analysis,38(2000), 937-963.

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R. Ewing, R. Lazarov, T. Lin, Y Lin, Mortar finite volume element approximations of second order elliptic problems, East-West Journal of Numerical Mathematics, 8(2000), 93-110. T. Lin, Y. Lin, M. Rao, S. Zhang, Defect corrections of Petrov-Galerkin methods for non-linear Volterra integro-differential equations, Applications of Mathematics, 45(2000), 241-263. T. Lin and D.L. Russell, A superconvergent method for approximating the bending moment of elastic beams with hysteresis damping, Applied Numerical Mathematics, 38(2001), pp 145-165. T. Lin, Y. Lin, R.C. Rogers, and L.M. Ryan, A rectangular immersed finite element method for interface problems, Advances in Computation: Theory and Practice, Vol. 7, 2001, pp 107-114. T. Lin, Y. Lin, P. Luo, M. Rao, and S. Zhang, Petrov-Galerkin Methods for Nonlinear Volterra Integro-Differential Equations, Dynamics of Continuous, Discrete and Impulse System, 8(2001), pp 405-426 On the accuracy of the finite volume element method based on piecewise linear polynomials, (with R.E. Ewing and Y. Lin), SIAM Journal on Numerical Analysis, Vol. 39, No. 6, pp. 1865-1888, 2002.

A Mathematical Model of Horizontal Wells Pressure Drawdown and Buildup, (with J. Lu, T. Lu, and R. Rogers), Journal of Canadian Petroleum Technology, Vol. 41, No. 10, pp. 45-57, 2002.

An Immersed Finite Element Electric Field Solver for Ion Optics Modeling, (with J. Wang), AIAA Joint Propulsion Conference, AIAA 2002-4263, Indianapolis, IN, July, 2002.

Articles Submitted: New Cartesian Grid Methods for Interface Problems Using Finite Element Formulation, Numerische Mathematik. (with Z. Li, and X. Wu).

Monograph:

Electromagnetic Interrogation of Dielectric Materials (a monograph), SIAM volume in Frontiers in Applied Mathematics.

Articles in Revision:

Error estimates of an immersed finite element method for interface problems, (with Z. Li, Y. Lin, R.C. Rogers)

PETER A. LINNELL Area of Specialization: Group Rings

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“Analytic versions of the zero divisor conjecture.” In Geometry and Topology in Group Theory, pp. 209–248, London Math. Soc. Lecture Note Series 252, Cambridge Univ. Press, Cambridge 1998.

‘‘Left ordered amenable and locally indicable groups.’’ J. London Math. Soc. 60 (1999), 133•142.

‘‘Von Neumann algebras and linear independence of translates.’’ Proc. Amer. Math. Soc. 127 (1999), 3269•3277. MR 2000b: 46106

“Trivial units in group rings.” (with D.R. Farkas), Canad. Math. Bull. 43 (2000), no. 1, 60-62

“A rationality criterion for unbounded operators.” J. Functional Analysis 171, 115-123 (2000)

“On a question of Atiyah” with Grigorchuk, Shick and Zuk C.R. Acad. Sci. Paris Serie I, 331 (2000), 663-668 Left ordered groups with no nonabelian free subgroups, J. Group Theory 4 (2001), 153-168. Zero divisors and Lp(G), II, with Mike Puls, New York J. Math. 7 (2001), 49-58.

Right orderable residually finite p-groups and a Kourovka notebook problem, J. Algebra.

Articles Submitted:

Approximating L2-invariants, and the Atiyah conjecture, with J. Dodziuk, V. Mathai, T. Schick, S. Yates.

The Ore condition, affiliated operators, and the lamplighter group, with Wolfgang Lück, Thomas Schick

In preparation:

Finite group extensions and the Atiyah conjecture (with T. Schick)

Galois cohomology of completed link groups (with T. Schick) Monograph:

Cohomology of finite groups (64 pp.), Vorlesungen ausdem Fachbereich Mathematik, Essen, 1992. MR: 94k:20088

GWENDOLYN M. LLOYD Area of Specialization: Mathematics Education

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Lloyd, G. M., & Wilson, M. (1998). Supporting innovation: The impact of a teacher’s conceptions of functions on his implementation of a reform curriculum. Journal for Research in Mathematics Education, 29, 248-274.

Lloyd, G. M. (1998). Using reform curriculum materials in teacher education: Relearning mathematics and pedagogy. In S. Berenson (Ed.), Proceedings of the Twentieth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 742). Columbus, OH: The ERIC Clearinghouse for Science, Mathematics, and Environmental Education. Lloyd, G. M. (1999). Two teachers’ conceptions of a reform curriculum: Implications for mathematics teacher development. Journal of Mathematics Teacher Education, 2, 227-252. Lloyd, G. M. (1999). Preservice teachers' portrayals of classroom discourse: Allowing students to know and tell mathematics. In M. Santos (Ed.), Proceedings of the 21st Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 751-756). Columbus, OH: The ERIC Clearinghouse for Mathematics, Science, and Environmental Education. Wilson, M. R., & Lloyd, G. M. (1999). The challenge to share mathematical authority with students: High school teachers reforming classroom roles. Journal of Curriculum and Supervision, 15, 146-169. Lloyd, G. M. (accepted for publication). Mathematics teachers’ beliefs and professional change: Opportunities to learn with innovative curriculum materials. In E. Pehkonen, G.Törner, and G. Leder (Eds.), Mathematical Beliefs in the Teaching and Learning of Mathematics. Utrecht, The Netherlands: Kluwer Academic Publishers. Lloyd, G. M., & Wilson, M. R. (2001). Offering prospective teachers the tools to connect theory and practice: Hypermedia technology in mathematics teacher education. Journal for Technology and Teacher Education, 9, 497-518. Lloyd, G. M., & Frykholm, J. A. (2000). On the development of “book smarts” in mathematics: Prospective elementary teachers’ experiences with innovative curriculum materials. Issues in the Undergraduate Mathematics Preparation of School Teachers: The Journal. Lloyd, G. M., & Frykholm, J. A. (2000). How innovative middle school mathematics materials can change prospective elementary teachers’ conceptions. Education, 21, 575-580. Wilson, M. R., & Lloyd, G. M. (2000). The challenge to share mathematical authority with students: High school teachers reforming classroom roles. Journal of Curriculum and Supervision, 15, 146-169. Lloyd, G. M. (2002). Reform-Oriented Curriculum Implementation as a Context for Teacher Development: An Illustration from One Mathematics Teacher's Experience. The Professional Educator, 24(2), 51-61.

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Articles Submitted/Under Review:

Lloyd, G. M. (2000). The Discursive Form of Reform: How Teachers Talk about Innovative Mathematics Curricula. Manuscript under review.

Lloyd, G. M. Mathematics instruction as a balancing act: Problematizing mathematics and teaching through curriculum reform. Manuscript in preparation. Lloyd, G. M. Narrative Analysis in Teacher Education Research: The Meanings of Complicating Actions and Resolutions in Mathematics Teachers' Stories. Manuscript in preparation. Lloyd, G. M., & Haynes, G. The Interplay of Students and Curriculum: One Preservice Teacher's Developing View of His Role in Mathematics Classroom Discourse. Manuscript in preparation.

ROBERT A. MCCOY Area of Specialization: Topology Recent Publications in Professional Journals:

Topologies on the space of continuous functions, Topology and Its Applications 86(1998), 105-122 (with G. Di Maio, L. Holá, and D. Holy). Spaces of semicontinuous forms, Topology Proceedings.(1999) Compactness in the fine and related topologies, Topology and Its Applications, (with L. Holá).(1999)

Articles submitted: Densely continuous forms in Vietoris hyperspaces, Set-Valued Analysis.

Comparison of hyperspace and function space topologies, (submitted). Monograph: "The Freudenthal compactification," Dissertationes Math. 262, 1988 (with R. F. Dickman).

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HAROLD W. MICK Area of Specialization: Mathematics Education Recent Publications in Professional Journals:

Mick, H. M. (2001). Calculators and Computers in Secondary Schools: A Report on Technology Use. Virginia Mathematics Teacher, 27 (2), 11-15.

MARGARET A. M. MURRAY Area of Specialization: Harmonic Analysis and Applications to Partial Differential Equations; History of

Mathematics Recent Publications in Professional Journals:

Marge Murray, Review of Ms. Mentor’s Impeccable Advice for Women in Academe by Emily Toth, Newsletter of the AWM 28 (Mar/Apr 1998), #2, pp. 23-24. Marge Murray, Review of Time Bomb 2000 by Edward Yourdon and Jennifer Yourdon, Newsletter of the AWM 28 (May/June 1998), #3, pp. 11-12. Marge Murray, What I Read on my Summer Vacation (Review of Women in Mathematics: The Addition of Difference, by Claudia Henrion, and A Beautiful Mind: The Life of John F. Nash, Jr., by Sylvia Nasar), Newsletter of the AWM 28 (Sept/Oct 1998), #5, pp. 18-19. Marge Murray, Review of Notable Women in Mathematics: A Biographical Dictionary, edited by Charlene Morrow and Teri Perl, Newsletter of the AWM 29 (Jan/Feb 1999), #1, pp.16-18. Julian Fleron, Paul D. Humke, Lew Lefton, Terri Lindquester, and Margaret Murray, Keeping Your Research Alive, in Starting Our Careers: A Collection of Essays and Advice on Professional Development from the Young Mathematicians’ Network, edited by Curtis D. Bennett and Annelisa Crannell (American Mathematical Society, Providence, 1999), pp. 48-55. Marge Murray, What I Read on my Summer Vacation (Review of Betty Friedan: Her Life, by Judith Hennessee, and Betty Friedan and the Making of the Feminine Mystique, by Daniel Horowitz), Newsletter of the AWM 29 (Sept/Oct 1999), #5, pp. 14-16. Margaret Murray, Y2K: A personal history, Math Horizons, November 1999, pp. 17-20. Margaret A.M. Murray, Women Becoming Mathematicians: Constructing a Professional Identity in Post-WWII America, in Women Succeeding in the Sciences:Pedagogies, Philosophies, and Practices, edited by Jody Bart, Purdue University Press, 2000, pp. 37-99.

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Marge Murray, What I Read on my Summer Vacation (Review of Angles of Reflection: Logic and a Mother’s Love, by Joan L. Richards), Newsletter of the AWM 30 (Sept/Oct 2000), #5, pp. 17-19. Marge Murray, Review of Journeys of Women in Science and Engineering: No Universal Constants, by Susan Ambrose et al, Newsletter of the AWM 30 (Nov/Dec 2000), #6, pp. 12-13. Margaret A.M. Murray, A demand for "Proof," Chicago Tribune, May 16, 2001, Section 8, p.6. Marge Murray, Review of Who Will Do the Science of the Future: A Symposium on Careers of Women in Science, by the Committee on Women in Science and Engineering of the National Academy of Sciences, Newsletter of the AWM 31 (Jul/Aug 2001), #4, pp. 8-10. Marge Murray, What I Read on my Summer Vacation (Review of Galileo’s Daughter, by Dava Sobel), Newsletter of the AWM 31 (Sep/Oct 2001), #5. pp. 13-14. Marge Murray, Daughter’s Letters Tell of Mutual Devotion and Support (Review of Galileo’s Daughter, by Dava Sobel; reprint of 25 above), CMS Notes (Newsletter of the Canadian Mathematical Society) 33 (December 2001), #8, pp. 12-13.

Article to Appear: Margaret Murray, Review of Mary Somerville: Science, Illumination, and the Female Mind, by Kathryn A. Neeley, Victorian Studies, to appear.

CHARLES J. PARRY Area of Specialization: Algebraic Number Theory Recent Publications in Professional Journals: Refined Lower Bounds on the 2-Class Number of the Hilbert 2-Class Field of Imaginary Quadratic Number

Fields With Elementary 2-Class Group of Rank 3", Journal of Number Theory 76, 167 – 177 (1999). (Elliot Benjamin). "Bicyclic Biquadratic Fields Which Contain Irreducible Rational Primes" (with Daisy McCoy).

Elliot Benjamin and Charles J. Parry, " Refined Lower Bounds on the 2-Class Number of the Hilbert 2-Class Field of Imaginary Quadratic Number Fields With Elementary 2-Class Group of Rank 3", Journal of Number Theory 76, 167 - 177(1999). "The 2-Class Group of Certain Number Fields" Houston Journal of Mathematics (Joint with Thomas McCall and Romona Rannalli)

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Articles Submitted:

Charles J. Parry and Frank S. Taylor, " Class Numbers and Fundamental Units of Quintic Abelian Fields", submitted. Charles J. Parry and Ramona R. Ranalli, “The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Byciclic Biquadratic Fields,” submitted Imaginary Bicyclic Biquadratic Fields with Elementary 2-Class Group (with Thomas McCall) submitted

Books Reviewed:

Elementary Number Theory by Jones and Jones, Springer 1998, Reviewed for Math Reviews.

Algebraic Number Theory by Richard Mollin, CRC 1999, Reviewed for Math Reviews.

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WAYNE PATTY

“It’s Time for Change,” Virginia Mathematics Teacher, Vol. 29, No. 1, Fall, 2002, pages 6-11

CARL PRATHER Area of Specialization: Complex Analysis, Wavelets, q Recent Publications in Professional Journals:

Derivative sampling for entire functiuons in the class [2,pi/2),vol21,May-June 2000, Applied functional Analysis and Optimatization , 509-520. Uniqueness theorems for entire functions having growth [2,pi/2), Numerical Functional Analysis and Optimization, vol 21, numbers 3&4,509-520 (2000) On the number of zeros of iterated operators on analytic legendre expansions, International Journal of Math and Mathematical Sciences (2000)

Articles to Appear:

Band limited functions, coherent states and sampling by entire functions, to appear , Proc. Conf. MSRI, Berkeley, Calif.

On the number of zeros of iterated operators on analytic Legendre expansions, to appear in the International Journal of Math and Mathematical Sciences.

Articles Submitted: The oscillation of differential transforms. Analyticity of some Jacobi expansions, submitted. Generalized sampling theorems using the local indicator and Pólya peaks, submitted to Mich. Math. J. Polynomials associated with the Riemann phi function, submitted.

FRANK QUINN Area of Specialization: Topology of Manifolds

Recent Publications, Mathematics: “Numerical presentations of tortile categories”, with Ivelina Bobtcheva, in Low Dimensional

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Topology, Hanna Nencka, Editor , Contemporary Math vol 233, AMS 1999. Problems in low-dimensional topology, in Surveys on Surgery Theory: Volume 2, S. Cappell, A. Ranicki, and J. Rosenberg ed., Annals of Math. Studies 149 (2001) 423-436. Group-categories and their field theories, Geometry and Topology Monographs Vol 2 (1999), J. Hass and M. Scharlemann ed, pp. 407-453, http://www.maths.warwick.ac.uk/gt/ (With Ivelina Bobtcheva) Numerical presentations of tortile categories, in Low Dimensional Topology, Hanna Nencka, Editor Contemporary Math vol 233, AMS 1999. (With V. S. Krushkal) Subexponential groups in 4-manifold topology, Geometry and Topology 4 (2000) 407-430. Dual decompositions of 4-manifolds, Trans. Amer. Math. Soc. 354 (2002), 1373-1392. http://arXiv.org/abs/math.GT/0009234. (with Ivelina Bobtcheva), Relation between quantum invariants of 3-manifolds and 2- dimensional CW-complexes, http://arXiv.org/abs/math.GT/0012212 .

Articles to Appear:

(with E. Pedersen and A. Ranicki) Controlled surgery with trivial local fundamental groups, http://arXiv.org/abs/math.GT/0111269, To appear in proc. Trieste summerschool on High-dimensional Manifolds.

Lectures on controlled topology: mapping cylinder neighborhoods http://arXiv.org/abs/math.GT/0201212, To appear in proc. Trieste summer school on High-dimensional Manifolds.

Articles Submitted: Dual decompositions of 4-manifolds II, linear link invariants http://arXiv.org/abs/math.GT/0109148, Preprint 2001 submitted for publication.

MICHAEL RENARDY Area of Specialization: Nonlinear Partial Differential Equations, Non-Newtonian Fluids and Bifurcation Theory Recent Publications in Professional Journals:

(with Y. Renardy), “Influence of non-Boussinesq effects on patterns in salt finger convection,” Z. angew. Math. Phys. 49 (1998), 224-250

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(with O. Hassager and M.I. Kolte), “Failure and nonfailure of fluid filaments in extension,” J. Non- Newtonian Fluid Mech. 76 (1998), 137-151 (with Y. Renardy), “A model equation for axisymmetric stability of small-gap parallel-plate flows,” J. Non-Newtonian Fluid Mech. 77 (1998), 103-114 “Well-posedness of the shallow water equations in the presence of a front,” Diff. Integral Eq. 11 (1998), 95-105 (with J. Li and Y. Renardy), “A numerical study of periodic disturbances in two-layer Couette flow,” Phys. Fluids 10 (1998), 3056-3071 (with H.J. Wilson and Y. Renardy), “Structure of the spectrum in zero Reynolds number shear flow of the UCM and Oldroyd-B liquids,” J. Non-Newtonian Fluid Mech. 80 (1999), 251-268 (with T. Hagen), “On the equations of fiber spinning in nonisothermal viscous flow,” in: J. Escher and G. Simonett (eds.), Topics in Nonlinear Analysis: The Herbert Amann Anniversary Volume, Birkhaeuser 1999, 321-348 (with A.K. Mulzet), “Exponential stability for a diffusion equation in polymer kinetic theory,” Comm. Appl. Anal. 3 (1999), 305-326

(with Y. Renardy), Instability due to second normal stress jump in two-layer shear flow of a Giesekus fluid, J. Non-Newt. Fluid Mech. 81 (1999), 215-234. A note on bifurcation problems in large containers, Fluid Dyn. Res. 24 (1999), 189-199. Bifurcation of traveling waves resulting from resonant mode crossings in oceaniccurrents, Euro. J. Mech. B 18 (1999), 35-46. (with Y. Renardy and K. Fujimura), Takens-Bogdanov bifurcation on the hexagonallattice for double layer convection, Physica D 129 (1999), 171-202. (with D.L. Russell), Formability of linearly elastic structures with volume-type actuation, Arch. Rat. Mech. Anal. 149 (1999), 97-122. (with Y. Renardy and K. Fujimura), Takens-Bogdanov bifurcation on the hexagonal lattice for double-layer convection, Physica D 129 (1999), pp. 171-202 A boundary value problem for Laplace’s equation, Complex Variables 41 (2000), pp.145-150 Boundary layers for Maxwell liquids, Arch. Rat. Mech. Anal. 152 (2000), pp. 93-102

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(with T. Hagen), Non-adiabatic elongational flows of viscoelastic melts, Z. Angew. Math. Phys. 51 (2000), pp. 845-866 Asymptotic structure of the stress field in flow past a cylinder at high Weissenberg number, J. Non-Newtonian Fluid Mech. 90 (2000), pp. 13-23 (with J. Li and Y. Renardy), Numerical simulation of breakup of a viscous drop in simple shear with a volume-of-fluid method, Phys. Fluids. 12 (2000), 269-282. Current issues in non-Newtonian flows: a mathematical perspective, J. Non-Newtonian Fluid Mech. 90 (2000), pp. 243-259 (with J. Li and Y. Renardy), Numerical simulation of breakup of a viscous drop in simple shear flow with a volume-of-fluid method, Phys. Fluids 12 (2000), pp. 269-282 Location of the continuous spectrum in complex flows of the UCM fluid, J. Non-Newtonian Fluid Mech. 94 (2000), pp. 75-85 (with T. Hagen), Eigenvalue asymptotics in non-isothermal elongational flow, J. Math. Anal. Appl. 252 (2000), pp. 431-443 Self-similar breakup of a Giesekus jet, J. Non-Newtonian Fluid Mech. 97 (2001), 283-293. Shape control by collinear actuators, Arch. Rat. Mech. Anal. 156 (2001), 231-240. (with I. Lasiecka and R. Triggiani), Backward uniqueness for thermoelastic plates with rotational forces, Semigroup Forum 62 (2001), 217-242. (with Y. Renardy and J. Li), Numerical simulation of moving contact line problems using a volume-of-fluid method, J. Comp. Phys. 171 (2001), 243-263. Finite time breakup of viscous filaments, Z. angew. Math. Phys. 52 (2001), 881-887. Self-similar jet breakup for a generalized PTT model, J. Non-Newtonian Fluid Mech. 103 (2002), 261-269. Similarity solutions for jet breakup for various models of viscoelastic fluids, J. Non-Newtonian Fluid Mech. 104 (2002), 65-74. (with Y. Renardy and V. Cristini), A volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio, Euro. J. Mech. B 21 (2002), pp. 49-59. Higher order Neumann problems for Laplace's equation in two dimensions, Diff. Integral Eq. 15 (2002), 1273-1279.

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The effect of upstream boundary conditions on stability of fiber spinning in the highly elastic limit, J. Rheol. 46 (2002), 1023-1028. (with D. Losh), Similarity solutions for jet breakup in a Giesekus fluid with inertia, J. Non-Newtonian Fluid Mech. 106 (2002), 17-27. Spectrally determined growth for creeping flow of the upper convected Maxwell fluid, Semigroup Forum 66 (2003), 171-178. (with Y. Renardy), PROST: A Parabolic Reconstruction of Surface Tension for the volume-of-fluid method, J. Comp. Phys. 183 (2002), 400-421

Topics in the Mathematical Analysis of Viscoelastic Flow, in: D.Y. Gao and R.W.Ogden (eds.), Advances in Modern Mechanics and Mathematics, Vol. 2, Kluwer 2003 (invited review) (with Y. Renardy, S. Popinet, L. Duchemin, S. Zaleski, C. Josserand, M.A. Drumright-Clarke, D. Richard, C. Clanet and D. Quere), Pyramidal and toroidal water drops after impact, J. Fluid Mech.

Articles to Appear:

(with Y. Renardy), Stability and instability in viscous fluids, invited review article for S. Friedlander and D. Serre (eds.) Handbook of Mathematical Fluid Dynamics, to be published by Elsevier in 2002.

Articles Submitted:

On damping in two-layer elastic-viscoelastic media, Z. angew. Math. Mech. Stress singularities in driven cavity flow of the upper convected Maxwell fluid, J. Non-Newtonian Fluid Mech. On localized Kelvin-Voigt damping, Z. angew. Math. Mech.

Conference papers:

(with T. Hagen), On the equations of melt-spinning in viscous flow. Partial differential equations (Praha, 1998), 147--157, Chapman & Hall/CRC, Boca Raton, FL, 2000. Surface tension driven breakup of viscoelastic jets, Proc. 4th Internat. Conf. Nonlinear Mech., Shanghai 2002, pp. 129-131. Breakup asymptotics of viscoelastic jets, in: H. Muenstedt, J. Kaschta and A. Merten (eds.), Proc. 6th Eur. Conf. Rheol., Erlangen 2002, pp. 43-44

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Book Edited: (with A. S. Lodge and J. A. Nohel), Viscoelasticity and Rheology, Academic Press 1985.

YURIKO RENARDY Area of Specialization: Fluid dynamics Recent publications in professional journals:

C. D. Andereck, P. W. Colovas, M. M. Degen and Y. Y. Renardy,1998, Instabilities in two-layer Rayleigh-Benard convection: overview and outlook, International Journal of Engineering Science, vol. 36 / 12 - 14, pp. 1451-1470. Renardy, 1998, A non-axisymmetric pattern formation in core-annular flow, Proceedings of the IUTAM First International Symposium on Lubricated Transport of Viscous Materials, ed. H. Ramkissoon, Fluid Mechanics and Its Applications vol. 43 , Kluwer Academic Publishers, pp. 131-148. Y. Renardy and M. Renardy, 1998, Influence of non-Boussinesq effects on patterns in salt-finger convection, Journal of Applied Mathematics and Physics (Zeitschr. f\"ur angewandte Mathematik und Physik). vol. 49, pp. 224-250. Jie Li, Y. Renardy, M. Renardy, 1998, A numerical study of periodic disturbances on two-layer Couette flow, Physics of Fluids 10 (12) 3056-3071.

Y. Renardy and D. O. Olagunju, 1998, Inertial effect on stability of cone-and-plate flow. Part 2: Non-axisymmetric modes, J. Non-Newtonian Fluid Mech. 78(1), pp. 27-45. Y. Renardy, M. Renardy, 1998, A model equation for axisymmetric stability of small-gap parallel-plate flows, J. Non-Newtonian Fluid Mechanics. vol. 77, pp. 103-114. H. Wilson, M. Renardy, Y. Renardy, 1999, Structure of the spectrum in zero Reynolds number shear flow of the upper convected Maxwell and Oldroyd-B liquids,. Journal of Non-Newtonian Fluid Mechanics. 80, pp. 251-268. Y. Renardy, C. G. Stoltz, 1999, Time-dependent pattern formation for two-layer convection, in ` Pattern Formation in Continuous and Coupled Systems’, eds. M. Golubitsky, D. Luss, S. H. Strogatz, Volume 115 in the IMA Volumes in Mathematics and Its Applications, Springer-Verlag New York, pp. 203-214. Jie Li, Y. Renardy, 1999, Direct simulation of unsteady axisymmetric core-annular flow with high

viscosity ratio, J. Fluid Mechanics. 391, pp. 123-149.

Jie Li, Y. Renardy, M. Renardy, 2000, Numerical simulation of breakup of a viscous drop in simple

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shear flow with a volume-of-fluid method, Physics of Fluids, Vol. 12(2), 269-282. Y. Renardy, J. Li, 1999, Comment on “A numerical study of periodic disturbances on two-layer Couette Flow Phys Fluids 10 (12), pp.3056-3071”. Phys. Fluids. 11 (10) 3189 - 3190. Y. Renardy and J. Li, Numerical simulation of two- fluid flows of viscous immiscible liquids, Proceedings of the IUTAM Symposium on Nonlinear Waves in Multiphase Flow, Eds. H.-C. Chang and M. J. McCready. Kluwer Academic Publishers. 1999. J. Li and Y. Renardy, Shear-induced rupturing of a viscous drop, Paper FEDSM2000-11148, Proc. 2000 ASME Fluids Engineering Summer Conference June 11-15, 2000, Boston, MA. Y. Renardy and J. Li, 2000, Parallelized simulations of two-fluid dispersions, in `Applications on Advanced Architecture Computers', G. Astfalk ed., SIAM News, September Issue. M. Renardy and Y. Renardy, 2000, `Stability and instability in viscous fluids', The Handbook of Mathematical Fluid Dynamics, Elsevier. Y. Renardy, C. G. Stoltz, 2000, Time-dependent pattern formation for convection in two layers of immiscible liquids, Int. J. Multiphase Flow, 26/11, pp. 1875-1889. Y. Renardy and J. Li, 2000, Merging of drops to form bamboo waves, Int. J. Multiphase Flow. Y. Renardy and J. Li, 2000, Parallelized simulations of two- fluid dispersions, in “Applications on Advanced Architecture Computers”, G. Astfalk ed., SIAM News, December, pp 1. M. Renardy and Y. Renardy, 2000, “Stability and instability in viscous fluids”, The Handbook of Mathematical Fluid Dynamics, Elsevier. M. Renardy, Y. Renardy and J. Li, 2001, Numerical simulation of moving contact line problems using a volume-of- fluid method, accepted, J. Comp. Phys. Jie Li and Yuriko Renardy, 2000, Shear-induced rupturing of a viscous drop in a Bingham liquid, J. Non-Newtonian Fluid Mech. Volume 95/2-3, pages 235-251. Yuriko Renardy and Jie Li, 2000, Breakup under shear of a viscous drop in a Bingham liquid, Proceedings of Rheology 2000 XIIIth International Congress on Rheology, Cambridge, UK, 21-26 August 2000. Jie Li and Yuriko Renardy, 2000, Breakup of a viscous drop under shear, Abstract Book for ICTAM 2000, ISSN 0073-5264, No. 950. Y. Renardy, J. Li, 2001, Merging of drops to form bamboo waves, International Journal of Multiphase Flow. vol. 27/5,pp. 753-763.

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M. Renardy and Y. Renardy, 2002, “Stability and instability in viscous fluids”, The Handbook of Mathematical Fluid Dynamics, Elsevier. M. Renardy, Y. Renardy and J. Li, 2001, Numerical simulation of moving contact line problems using a volume-of-fluid method, J. Comp. Phys. 171, pp. 243-263. Yuriko Renardy and Vittorio Cristini, 2001, Effect of inertia on drop breakup under shear, Phys. Fluids 13(1), pp.7-13. Yuriko Renardy and Vittorio Cristini, 2001, Scalings for fragments produced from drop breakup in shear flow with inertia, Phys. Fluids, 13(8) pp. 2161-2164. Y. Renardy, M. Renardy, V. Cristini, 2001, A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio. In press, Eur. J. Mech. B/Fluids. Y. Renardy, V. Cristini, J. Li, 2002, Drop fragment distributions under shear with inertia. In press. International Journal of Multiphase Flow. Y. Renardy, MathJBC.mov, MathJAC.mov, Mathdrop.mov, in The North American Mixing Forum's Industrial Mixing Handbook CD-ROM 2001. (with M. Renardy), PROST: A Parabolic Reconstruction of Surface Tension for the volume-of-fluid method, J. Comp. Phys. 183 (2002), 400-421 (with M. Renardy, S. Popinet, L. Duchemin, S. Zaleski, C. Josserand, M.A. Drumright-Clarke, D. Richard, C. Clanet and D. Quere), Pyramidal and toroidal water drops after impact, J. Fluid Mech Numerical simulation of a water drop impacting a hydrophobic surface.Under revision, J.Fluid Mech. S. Wannaborworn, M. Mackley and Y. Renardy, 2002, Experimental observation and matching numerical simulation for the deformation and breakup of immiscible drops in oscillatory shear. J. Rheol. 46(5), 1279-1293.

Article Submitted:

D. Khismatullin, Y. Renardy and V. Cristini, 2002, Inertia-induced breakup of highly viscous drops in shear flow. M. A. Drumright-Clarke and Y. Renardy, 2003, The effect of insoluble surfactant at dilute concentration on drop breakup under shear. Submitted. Y. Renardy, S. Popinet, L. Duchemin, M. Renardy, S. Zaleski, C. Josserand, M. A. Drumright-Clarke, D. Richard, C. Clanet, D. Quere. 2003, movie, Pyramidal and toroidal water drops after impact on a solid surface, J. Fluid Mech. In press.

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Numerical simulations of drop deformation under shear at a low viscosity ratio , Eur. J. Mech. B/Fluids 21, pp 49-59.

Articles to Appear:

(with M. Renardy), Stability and instability in viscous fluids, invited review article for S. Friedlander and D. Serre (eds.) Handbook of Mathematical Fluid Dynamics, to be published by Elsevier in 2002

Book Edited:

Y. Y. Renardy, A. V. Coward, D. Papageorgiou, S. M. Sun, 1996, Advances in Multi-Fluid Flows, Society for Industrial and Applied Mathematics Proceedings in Applied Mathematics 86. ISBN 0- 89871-377-3.

Book Reviews:

Review of “Fluid Dynamics for Physicists'' by T. E. Faber, Cambridge University Press, 1995, for ZAMP (1996). Review of “Asymptotic Modelling in Fluid Mechanics'', eds. P-A. Bois, E. Deriat, R. Gatignol, A. Rigolot, Lecture Notes in Physics, Springer Verlag, 1995, for ZAMP (1996). Review of “Elements of Newtonian Mechanics including nonlinear dynamics'' by J. M. Knudsen and P. G. Hjorth, for ZAMP (1997). Review of “Spatio-Temporal Pattern Formation With Examples from Physics, Chemistry, and Materials Science'', by Daniel Walgraef, Springer Verlag New York 1996 for ZAMP (1997). Review of ”Dissipative Structures and Chaos'' by H. Mori and Y. Kuramoto, translated by G. C. Paquette, Springer Verlag Berlin 1998, for ZAMP. Review of “Explosive Instabilities in Mechanics'' by B. Straughan, Springer Verlag Berlin 1998, for ZAMP. “Engineering Rheology'' by Roger I. Tanner for SIAM Review , 2001.

R. DEAN RIESS Area of Specialization: Numerical Analysis and Approximation Theory Recent Publications in Professional Journals:

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Arnold, J.T., Johnson, L.W., and R.D. Riess. 1997, A Brief Introduction to Matrices and Vectors. 208 pages. Addison-Wesley, Reading, MA. (A text to accompany Internet Linear Algebra course for Math 1114.)

ROBERT C. ROGERS Area of Specialization: Partial Differential Equations, Continuum Mechanics, and Phase Transitors Recent Publications in Professional Journals:

William S. Galinaitis and Robert C. Rogers. Control of a hysteretic actuator using inverse hysteresis compensation. in Smart Structures and Materials 1998: Mathematics and Control in Smart Structures , Proc. SPIE 1998. Nicholas Bubner, Gail Mackin, Robert C. Rogers. . Rate dependence of hysteresis inone-dimensional phase transitions.” Computational Materials Science, 18:245-256, 2000. T. Lin, Y. Lin, R.C. Rogers, and L.M. Ryan, “A rectangular immersed finite element method for interface problems”, Proceeding of the 2nd International Workshop on Scientific Computing and Applications, Kananaskis, Canada, May 28-June 1, 2000. A rectangular immersed finite element method for interface problems, (with T. Lin, Y. Lin, and L.M. Ryan), Advances in Computation: Theory and Practice, Vol. 7, 2001, pp 107-114. Parameter identification for Preisach operators with singular measures, (with W.S.Galinaitis and D.S. Joseph), Physica B, Vol. 306, 2001, pp. 149-154. Galinaitis, W.S., Joseph, D.S., and Rogers, R.C., "Parameter Identification for Preisach Models of Hysteresis," Proceedings of the 2001 ASME Design EngineeringTechnical Conferences & Computer and Information in Engineering Conference,DETC2001/VIB-21468

Articles to Appear:

New pressure drop formulae for horizontal wells, (with Jing Lu and T. Lin), to appear in Journal of Canadian Petroleum Technology.

Articles Submitted:

The supplements and discussions of productivity formulae for horizontal wells, (with Jing Lu and T.Lin), submitted to Journal of Canadian Petroleum Technology.

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JOHN F. ROSSI Area of Specialization: Complex Function Theory Recent Publications in Professional Journals:

Colm Mulcahy and John Rossi, A fresh approach to Singular Value Decomposition, College Math. J.,29 (1998) 199-207. Alexander Fryntov, John Rossi and Allen Weitsman, Circular means of fine Green's functions and the longest arc relation, Complex Variables 37 (1998), 211-224. P.C. Fenton and John Rossi, Cercles de remplissage for Entire Functions Bull. London Math. Soc. Bull. London Math. Soc. 31 (1999), no, 1, 59-66. P.C. Fenton and John Rossi, A Remark on cercles de remplissage and Zalcman's Lemma, Complex Analysis and Differential Equations. Proceedings of the Marcus Wallenberg Symposium in Honor of Matts Essen held in Uppsala, Sweden, June 15-18, 1997,Acta Universitatis Upsaliensis (1999), 157-161 (refereed).

Articles to Appear:

Alexander Fryntov and John Rossi, Hyperbolic symmetrization and an inequality of Dyn'kin, Israeli Math Conference Proceedings dedicated to Boris Levin (refereed)(to appear). Joseph Miles and John Rossi, On a conjecture of Fuchs, Proc. Edinburgh Math. Soc. (to appear)

DAVID L. RUSSELL Area of Specialization: Ordinary and Partial Differential Equations, Systems Theory and Mathematical

Modelling Recent Publications in Professional Journals:

(with M. Renardy) Formability of Linear Elastic Structures with Volume - type Actuation, Arch. Rat. Mech. & Anal., 149 (1999), pp. 97-122. With G. Huang) Asymptotic properties of solutions of a KdV- Burgers equation with localized dissipation, Journal of Math. Syst., Est. & Contr., 8(1998), pp. 467. (With L. W. White) An elementary nonlinear beam theory with finite buckling deformation properties, submitted to SIAM J. Appl. Math.

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Approximate boundary formability with volume actuation, Math. Models and Methods in Appl. Sci., 7 (1998), pp.1243. (with M. Renardy) Formability of linear elastic structures with volume -type actuation, Arch. Rat. Mech. & Anal., 149 (1999), pp. 97-122. (with L.W. White) A Large displacement framework for buckling and formation studies of elastic plates, Control & Cybernetics, Vol. 28 (1999), No. 3, pp. 583-609 (with S. Avdonin and S. Ivanov) Exponential bases in Sobolev spaces in control and observation problems, Proc. Conf. On Optimal Control of Partial Differential Equations (Chemnitz, 1998), pp. 33-42, Internat . Ser. Numer. Math., 133, Birkhuser, Basel, 1999 (with S. Avdonin and S. Ivanov) Exponential bases in Sobolev spaces in control and observation problems for the wave equation, Proc. Royal Soc.Edinburgh, vol. 130A (2000), No. 5, pp. 947-970 Freely propagating waves in a supported nonlinear elastic beam, in Non-smooth/ Nonconvex Mechanics, D.Y. Gao, R.W. Ogden and G. E. Stavroulakis (eds), Kluwer Academic Publishers, 2000 (With L. W. White) The bowed narrow plate model, Electronic Journal of Differential Equations, vol. 2000, No. 27, pp. 1-19 (with L. W. White) Static buckling in a supported nonlinear elastic beam, accepted for publication in Proc. Conf. On Control of Nonlinear Distributed Parameter Systems, College Stn., TX, October, 1999, G. Chen and I. Lasiecka, Eds. To be published by Marcel Dekker, February, 2001 Forced propagation of steady state waves in a supported elastic beam, Discrete and Continuous Dynamical Systems, Vol. 6 (2001), pp. 337-348 (with LW White) Finite and Infinite Dimensional Dynamical Systems with Inelastic Constraints, Appl. Math. Optim, 46 (2002), pp 291-312 (with Liu, Kangsheng) New meaning of exact controllability of linear systems in Hilbert spaces, in control of distributed parameter and stochastic systems, (Hangzhou, 1998), Kluwer Acad. Publ., Boston, 1999, pp. 103-110.

Articles to Appear:

Boundary output specification in certain distributed parameter systems, in Dynamics of Continuous, Discrete and Impulsive Systems; Series B to appear

(with David R. Schenck) A Formation Problem in Plane Elasticity, to appear (2002) in Systems and Control Letters

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(with L.W. White) An elementary nonlinear beam theory with finite buckling deformation properties, to appear in SIAM J. Appl. Math.

EKKEHARD SACHS Areas of Specialization: Numerical Optimzation and Optimal Control Recent Publications in Professional Journals:

M. Fahl and E. W. Sachs. Modern optimization methods for structural optimization under flutter constraints. In E. Cliff, J. Borggaard, J. Burns and S. Schreck, editors, Computational Methods for Optimal Design and Control, volume 24 of Progress in Systems and Control Theory, pages 137-150. Birkhauser, 1998. B. B. King and E. W. Sachs. Optimization techniques for stable reduced order controllers for partial differential equations. In W.W. Hager and P.M Pardalos, editors, Optimal Control: Theory, Algorithms, and Applications, pages 278-297. Kluwer,1998. C. T. Kelley and E. W. Sachs. Local convergence of the symmetric rank-one iteration. Computational Optimization and Applications, 9:43-63, 1998. E. W. Sachs. Semi-infinite programming in control. In J.-J. Ruckmann and R. Reemtsen, editors, Semi-Infinite Programming, pages 389 - 411. Kluwer, 1998.

E. W. Sachs and S. Volkwein. Augmented Lagrange-SQP methods with Lipschitz- continuous Lagrange multiplier updates. SIAM J. Optimization, 1998. E. Arian, A. Battermann, and E. W. Sachs. Approximation of the Newton step by a defect correction process. Technical report, Universitat Trier, Germany, 1998. E. W. Sachs and A. Sartenaer. A class of augmented Lagrangian algorithms for infinite-dimensional optimization with equality constraints. Technical report, Universitat Trier, Germany, 1998. C. T. Kelley and E. W. Sachs. A trust region method for parabolic boundary control problems. SIAM J. Optimization, 9:1064 -1081, 1999. J. E. Dennis, E. W. Sachs, and M. Schulze. Convergence of Gauss-Newton methods for under-determined systems arising in neural networks. Technical report, Universitat Trier, Germany, 1999. S. Fromme, E. W. Sachs, and M. Schulze. Financial applications for large neural networks. Technical report, Universitat Trier, Germany, 1999.

C. T. Kelley and E. W. Sachs. Truncated Newton methods for optimization with inaccurate functions and gradients. Technical report, Universitat Trier, Germany,1999.

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F. Leibfritz and E. W. Sachs. Inexact SQP interior point methods and large scale optimal control problems. SIAM J. Control and Optimization, 38:272-293, 2000. B. B. King and E. W. Sachs. Semideinfinite programming techniques for reduced order systems with guaranteed stability margins. Computational Optimization and Applications, 17:37-59, 2000. D. Kleis and E. W. Sachs. Optimal control of the sterilization of prepackaged food .SIAM J. Optimization, 10:1180-1195, 2000. E. Arian, M. Fahl, and E. Sachs. Trust-region proper orthogonal decomposition for flow control. Technical report, Universitat Trier, 2000.

Articles to Appear: A. Battermann and E. W. Sachs. An indefinite preconditioner for KKT systems arising in optimal control problems. In R. H. W. Hoppe, K.-H. Hoffmann, and V. Schulz, editors, Workshop on Fast Solutions of Discretized Optimization Problems. Birkhauser. to appear.

JOHN KENNETH SHAW Areas of Specialization: Spectral Theory and Optical Waveguides Recent Publications in Professional Journals:

Jacobs, I., J.-H. Lee and J. K. Shaw, Spectral asymptotics of nonlinear pulse propagation in fibers, SPIE Proceedings, Vol. 3491 (ICAPT 98, July, Ottawa, Ontario, Canada), pp.538-43.

Brandt-Pearce, M., I. Jacobs, J.-H. Lee and J. K. Shaw. 1999. Variational analysis of optimal pulse widths in dispersive nonlinear fibers, Proceedings of Conference on Lasers and Electro-Optics (CLEO 99), Optical Society of America, 436-7. Variational analysis of optimal pulse widths in dispersive nonlinear fibers, Proc. CLEO 1999 (Baltimore MD, May, 1999), 436-7, Optical Society of America, Washington DC (refereed conference proceedings). Optimal input Gaussian pulse width for transmission in nonlinear dispersive fibers, J. Opt. Soc. Am. B 16 (1999), 1189-96 (with I. Jacobs, J.-H. Lee, M. Brandt-Pearce). Ira Jacobs and J. K. Shaw, Spectral widths of prechirped optical pulses, Proceedings of OPTO SE, Optical Society of America, 2000, p. 57, paper SE02-14. Ira Jacobs, J. K. Shaw and N. Wongsangpaiboon. 2000. Variational approach to optimal dispersion compensation, SPIE Proceedings Vol. 4087 (ICAPT 2000, July, Quebec City, Quebec), pp. 420-428.

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Influence of pulse shape and frequency chirp on stability of optical solitons, with M Klaus, Optics Communications 197 (2001), 491-500. Ira Jacobs, J. K. Shaw and V. Wongpaibool. 2001. Effect of fiber loss on signal design for dispersive nonlinear fibers, Proceedings of Conference on Lasers and Electro-Optics (CLEO 2001), Optical Society of America, 473-474. I. Jacobs, J. K. Shaw and V. Wongpaibool, Effects of phase modulation and filtering on NRZ and RZ signals, Proceedings of the 35th Asilomar Conference on Signals, Systems and Computers Conference, Asilomar CA, November 4-7, 2001, pp. 13-17, Omnipress CD, 2002. V. Wongpaibool, I. Jacobs and K. Shaw, New dispersion resistant format for fiber optic transmission, in SPIE Proceedings vol. 4872, Optical Transmission Systems SPIE Conference, Boston, July, 2002, pp. 49-58.

Articles to Appear:

Purely imaginary eigenvalues of Zakharov-Shabat systems, with M Klaus, to appear in Physical Review E. Improvement of Fiber Optic System Performance by Synchronous Phase Modulation and Filtering at the Transmitter, with I Jacobs and V Wongpaibool, to appear in Proceedings of OPTOSE Conference, Clemson SC, October, 2001.

MARK SHIMOZONO Area of Specialization: Algebraic Combinatorics and Representation Theory Recent Publications in Professional Journals:

(with V. Reiner) Flagged Weyl modules for two-column shapes, J. Pure Appl. Algebra 141 (1999) 59-100. (with J. Weyman) Bases for coordinate rings of conjugacy classes of nilpotent matrices, J. Algebra 220 (1999) 1-55. Multiplying Schur Q-functions, J. Combin. Theory Ser. A 87 (1999) 198-232. (with AN Kirillov and A. Schilling) Various representations of the generalized Kostka polynomials, The Andrews Feschrift (Maratea, 1998, Sem. Lothar. Combin. 42 (1999) art. B42j (eletronic). (with J. Weyman) Graded characters of modules supported in the closure of a nilpotent conjugacy class, European J. Combin. 21 (2000) 257-288.

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(with J. Klimek, W. Kraskiewicz, and J. Weyman) On the Grothendieck group of modules supported in a nilpotent orbit in the Lie algebra gl(n), J. Pure and Applied Algebra 153 (2000) 237-261. (with A. Schilling) Bosonic formula for level restricted paths, Advanced Studies in Pure Mathematics 28 (2000) 305–325. and coset branching functions, Commun. Math. Phys. 220 (2001) 105-164. (with D. E.White), A color-to-spin domino Schensted algorithm, Electron.J. Combin. 8 (2001) Research Paper 21, 50 pp. A cyclage poset structure for Littlewood-Richardson tableaux. EuropeanJ. Combin. 22 (2001) 365-393. Multi-atoms and monotonicity of generalized Kostka polynomials. European J. Combin. 22 (2001), 395-414. (with M. Zabrocki) Hall-Littlewood vertex operators and generalized Kostka polynomials. Adv. Math. 158 (2001) 66-85. (with Masato Okado and Anne Schilling) Crystal bases and q-identities, Contemp. Math. 291 (2001) 29-53.

(with Anne Schilling) Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions, Commun. Math. Phys. 220 (2001) 105-164. (with D. E.White), A color-to-spin domino Schensted algorithm, Electron.J. Combin. 8 (2001) Research Paper 21, 50 pp. A cyclage poset structure for Littlewood-Richardson tableaux. European J. Combin. 22 (2001) 365–393. Multi-atoms and monotonicity of generalized Kostka polynomials. European J. Combin. 22 (2001), 395–414. (with M. Zabrocki) Hall-Littlewood vertex operators and generalized Kostka polynomials. Adv. Math. 158 (2001) 66–85. (with Masato Okado and Anne Schilling) Crystal bases and q-identities, Contemp. Math. 291 (2001) 29–53. (with Anne Schilling) Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions, Commun. Math. Phys. 220 (2001) 105–164. (with A. N. Kirillov) A generalization of the Kostka-Foulkes polynomials, J. Algebraic Combin. 15 (2002) 27–69. A_ne type A Crystal Structure on Tensor Products of Rectangles, Demazure characters, and Nilpotent

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Varieties, J. Algebraic Combin.15 (2002) 151–187. (with A. N. Kirillov and A. Schilling) A bijection between Littlewood-Richardson tableaux and rigged configurations, Selecta Math. (N.S.) 8 (2002) 67–135. (with D. E. White) Color-to-spin ribbon Schensted algorithms, Formal power series and algebraic combinatorics (Barcelona, 1999), Discrete Math. 246 (2002) 295–316.

Articles to Appear:

(with A. Schilling and D. E. White) Branching formula for q-Littlewood-Richardson coe_cients, to appear in Advances in Applied Mathematics. (with M. Okado and A. Schilling) Virtual crystals and fermionic formulas of type D(2)n+1, A(2) 2n , and C(1) n , to appear in Representation Theory (with M. Okado and A. Schilling) Virtual crystals and Kleber’s algorithm, to appear in Commun. Math. Phys. (with M. Okado and A. Schilling) A crystal to rigged configuration bijection for nonexceptional a_ne algebras, to appear in World Sci. (with M. Okado and A. Schilling) A tensor product theorem related to perfect crystals, to appear in J. Algebra.

ROBERT L. SNIDER Areas of Specialization: Noncommutative Rings and Infinite Group Rings Recent Publications in Professional Journals: Article Submitted:

R. L. Snider, Semiprimitive p-regular rings of bounded index are left max rings, Comm. In Algebra 29 (2001), 5433-5437.

SHU-MING SUN Area of Specialization: Fluid Mechanics, Partial Differential Equations Recent Publications in Professional Journals:

S. M. Sun, On stability of liquid flow down an inclined plane, Quart. Appl. Math. 55 (1997), 375-397. S. M. Sun, Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth,

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Proc. Roy. Soc. London Ser. A 453 (1997), 1153-1175. S. M. Sun, On the solitary tails with arbitrary phase shift for solutions of the perturbed K-dV equation, SIAM J. Appl. Math. 58 (1998), 1163-1177. D. L. Russell and S. M. Sun, Stability properties of non-constant stationary solutions of the periodic Korteweg-de Vries equation, Applicable Analysis 68 (1998), 207-240. S. M. Sun, Non-existence of truly solitary waves in water with small surface tension, Proc. Royal Soc. (London) Ser. A Vol. 455 (1999), 2191-2228 S. M. Sun, Existence of large amplitude periodic waves in two-fluid flows of infinite depth, SIAM J. Math. Anal. 32 (2001), 1014-1031 S. M. Sun and J. B. Keller, Capillary-gravity wave drag, Physics of Fluids 13 (2001), 2146-2151 M. D. Groves, M. Haragus-Courcelle and S. M. Sun, Transverse instability of gravity-capillary line solitary water waves, C. R. Acad. Sci. Serie I. 333 (2001), 421-426 J. L. Bona, S. M. Sun and B. Y. Zhang, A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter-plane, Transaction of the American Mathematical Society 354 (2002), 427-490 G. Iooss, E. Lombardi and S. M. Sun, Gravity traveling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation, Phil. Trans. Royal Soc. Lond. A. (2002) 360, 2245--2336. S. M. Sun, Solitary internal waves in continuously stratified fluids of great depth, Physica D (also published in 2002). M. Grove, M. Haragus-Courcelle and S. M. Sun, A dimensional-breaking phenomenon in the theory of

steady gravity-capillary water waves, Phil. Trans.Royal Soc. Lond. A. (2002) 360, 2189--2243.

G. Iooss, E. Lombardi and S. M. Sun, Gravity traveling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation, Phil. Trans. Royal Soc. Lond. A. (2002) 360, 2245--2336. S. M. Sun, Solitary internal waves in continuously stratified fluids of great depth, Arch. Rational Mech. Anal.

Articles to Appear: C. C. Chang, M. C. Shen, S. M. Sun, and D. J. Wang, Generation of an axisymmetric mode by

asymmetric forcing in a water-filled circular basin, Physic of Fluids. Articles Submitted:

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S. M. Sun, Solitary internal waves in continuously stratified fluids of great depth, Physica D. S. M. Sun, Existence of large amplitude periodic waves in two-fluid flows of infinite depth, SIAM J. Math. Anal. J. Bona, S. M. Sun and Bing-yu Zhang, Forced oscillations of a damped Kortewegde Vries equation in a quarter plane, submitted Comm. in Contemporary Math. (also accepted in 2002) J. Bona, S. M. Sun and Bing-yu Zhang, A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain, submitted to Comm. in PDEs (with a favorable review).

Articles in preparation:

J R. Pego and S. M. Sun, Transverse linear instability of solitary waves on water with large surface tension.

J. L. Bona, S. M. Sun and Bing-yu Zhang, Dispersive boundary smoothing and the well-posedness problem for the Korteweg-de Vries equation in a quarter plane. J. L. Bona, S. M. Sun and Bing-yu Zhang, On conditional and unconditional wellposedness of the Cauchy problem of nonlinear evolution equations J. L. Bona, S. M. Sun and Bing-yu Zhang, Time periodic solutions and long time asymptotics of the Korteweg-de Vries equation on a bounded domain.

J. L. Bona, S. M. Sun and Bing-yu Zhang, Initial-boundary value problem of the Korteweg-de Vries equation. I. Well-Posedness. J. L. Bona, S. M. Sun and Bing-yu Zhang, Initial-boundary value problem of the Korteweg-de Vries equation. II. Stability

ROBERT L. WHEELER Area of Specialization: Volterra Integral Equations and Viscoelasticity, Control and Systems Theory Recent Publications in Professional Journals:

“Rational approximations of transfer functions of some viscoelastic rods, with applications to robust control”, J. on Dynamical and Control Systems, 5 (1999), 255-302. (with K. B. Hannsgen O. J. Staffans).

Articles In Progress:

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"Sorption and Diffusion in Bidisperse Sorbents with Microporous Cylinders", by D. Zhao, J. C. Little, R. L. Wheeler, and E. Kim, in preparation.

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61

BOOKS PUBLISHED

JIMMY T. ARNOLD

Arnold, J. T., Johnson, L. W., and R. D. Riess. 1988. Introduction to Linear Algebra, 2nd edition. 578 pages. Addison-Wesley, Reading, Massachusetts.

J. A. Ball, I. Gohberg and L. Rodman, Interpolation of Rational Matrix Functions, Operator Theory:

Advances and Applications, OT45, Birkhäuser (Basel), 1990, 605 pp.

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Numerical Analysis, (Second Edition) Addison-Wesley, Reading, (1982). (with R. D. Riess).


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H.T. Banks, M.W. Buksas, T. Lin, Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts, a monograph in SIAM Frontiers in Applied Mathematics, 2000.

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(With C. A. Rogers) Recent Advances in Adaptive and Sensory Materials and Their Applications), Technomic Publications, 1992.

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