VOLUMES XXXIV AND XXXV

INDEX OF PAPERS BY AUTHORS

AuthorAGRAWAL, M. K., COATES,

J.H., HUNT, D. C. &van der POORTEN, A. J.

ALFELD,PETER

ALLASIA, G. & BONARDO, F.ANAND, INDU MATIBABUSKA, I..OSBORN, J. &

PITKÄRANTA, J.BAILLIE, ROBERTA

WAGSTAFF, SAMUELS.,JR.

BAKER, GARTH A. &DOUGALIS, VASSILIOS A.

BERGER, ALAN E., SOLOMONJAYM., CIMENT, MELVYN,LEVENTHAL, STEPHEN H.& WEINBERG, BERNARDO

BONARDO, F.de BOOR, CARL & SWARTZ,

BLAIRboyd, david w.boyd, john p.bramble, james h. &

sammon, peter h.brent, richard p.brent, richard p. &

McMillan, edwin m.brillhart, johnbultheel.adhemarCASH, J. R.

CHAR, BRUCE W.CIMENT, MELVYN

TitleElliptic Curves of Conductor 11.

A Method of Skipping the Transient Phase in the Solution ofSeparably Stiff Ordinary Initial Value Problems.

On the Numerical Evaluation of Two Infinite Products.Numerical Stability of Nested Dissection Orderings.Analysis of Mixed Methods Using Mesh Dependent Norms.

Page991

1173917

12351039

Lucas Pseudoprimes. 1391

On the L -Convergence of Galerkin Approximations forSecond-Order Hyperbolic Equations.

, Generalized OCI Schemes for Boundary Layer Problems..

COATES, J. H.

COOPER, G. J.& SAYFY, A.

CORLISS,GEORGE F.CORMACK. G.CORMACK, G. V. &

WILLIAMS, H. C.CRANDALL, MICHAEL G.&

MAJDA, ANDREWCRUZ, ANDRÉS &

SESMA, JAVIERDICKINSON, BRADLEY W.DOUGALIS, VASSILIOS A.DUPONT, TODD & SCOTT,

RIDGWAY

See: ALLASIA, G. & BONARDO, F.Collocation Approximation to Eigenvalues of an Ordinary Dif-

ferential Equation: The Principle of the Thing.Reciprocal Polynomials Having Small Measure.The Rate of Convergence of Hermite Function Series.Efficient Higher Order Single Step Methods for Parabolic

Problems: Part I.The First Occurrence of Certain Large Prime Gaps.Some New Algorithms for High-Precision Computation of

Euler's Constant.Note on Irreducibility Testing.Recursive Algorithms for the Matrix Padé Problem.A Note on Olver's Algorithm for the Solution of Second-Order

Linear Difference Equations.On Stieltjes' Continued Fraction for the Gamma Function.See: BERGER, ALAN E., SOLOMON, JAY M., CIMENT,

MELVYN, LEVENTHAL, STEPHEN H. & WEINBERG,BERNARDO.

See: AGRAWAL, M. K., COATES, J. H., HUNT, D. C. &van der POORTEN, A. ).

Additive Methods for the Numerical Solution of Ordinary Dif-ferential Equations.

Integrating ODE's in the Complex Plane—Pole Vaulting.See: WILLIAMS, H. C, CORMACK, G. & SEAH, E.Some Very Large Primes of the Form k ■ 1m + 1.

Monotone Difference Approximations for Scalar ConservationLaws.

Modulus and Phase of the Reduced Logarithmic Derivativeof the Cylindrical Bessel Function.

Solution of Linear Equations With Rational Toeplitz MatricesSee: BAKER, GARTH A. & DOUGALIS, VASSILIOS A.Polynomial Approximation of Functions in Sobolev Spaces.

401695

917

67913611309

6551435

3051379875

767547

695

991

11591181567

1419

1

1317227401441

1447

1448 INDEX OF PAPERS BY AUTHORS

Author Title Page

ENGQUIST, BJORN & OSHER, Stable and Entropy Satisfying Approximations for TransonicSTANLEY Flow Calculations. 45

ERICSSON, THOMAS & RUHE, The Spectral Transformation Lanczos Method for the Numer-AXEL ical Solution of Large Sparse Generalized Symmetric

Eigenvalue Problems. 1251EVANS, JOHN W., GRAGG, On Least Squares Exponential Sum Approximation With

WILLIAM B. & LeVEQUE, Positive Coefficients. 203RANDALL J.

FATUNLA, SIMEON OLA Numerical Integrators for Stiff and Highly Oscillatory Dif-ferential Equations. 373

FERGUSON, WARREN E., JR. The Construction of Jacobi and Periodic Jacobi MatricesWith Prescribed Spectra. 1203

FETTIS, HENRY E. On Some Trigonometric Integrals. 1325FRANSEN, ARNE & WRIGGE, High-Precision Values of the Gamma Function and of Some

STAFFAN Related Coefficients. 553GATTESCHI, LUIGI On Some Orthogonal Polynomial Integrals. 1291GOLDSTEIN, CHARLES I. Variational Crimes and L°° Error Estimates in the Finite Ele-

ment Method. 1131GOSTIN.GARY B. A Factor of Fn. 975GRAGG, WILLIAM B. See: EVANS, JOHN W., GRAGG, WILLIAM B. & LeVEQUE,

RANDALL J. 203GUY, RICHARD K. & Corrigendum to "What Drives an Aliquot Sequence?". 319

SELFRIDGE, J. L.HACKBUSCH, WOLFGANG Convergence of Multi-Grid Iterations Applied to Difference

Equations. 425HAGIS.PETERJR. Outline of a Proof That Every Odd Perfect Number Has at

Least Eight Prime Factors. 1027HILL, EDWARD, JR. See: SHRAGER, RICHARD I. & HILL, EDWARD, JR. 529HORNER, T. S. Recurrence Relations for the Coefficients in Chebyshev Series

Solutions of Ordinary Differential Equations. 893HOWARD, F. T. A Special Class of Bell Polynomials. 977HUNT, D. C See: AGRAWAL, M. K., COATES, J. H., HUNT, D. C. &

van der POORTEN, A. J. 991ISAACS, GODFREY L. Exponential Laws for Fractional Differences. 933JAMES, RODNEY The Groups of Order p6 (p an Odd Prime). 613JOHNSON, CLAES & On the Coupling of Boundary Integral and Finite Element

NEDELEC, J. CLAUDE Methods. 1063KARLSEN, LASSE K. Computation of Steady Shocks by Second-Order Finite-Dif-

ference Schemes. 391KATTI, C. P. Five-Diagonal Sixth Order Methods for Two-Point Boundary

Value Problems Involving Fourth Order DifferentialEquations. 1177

KING, RICHARD F. An Efficient One-Point Extrapolation Method for Linear Con-vergence. 1285

LAMBIN, PH. See: VIGNERON, J. P. & LAMBIN, PH. 1299LARKIN, F. M. Root-Finding by Fitting Rational Functions. 803LEON, JEFFREY S. On an Algorithm for Finding a Base and a Strong Generating

Set for a Group Given by Generating Permutations. 941LEVENTHAL, STEPHEN H. See: BERGER, ALAN E., SOLOMON, JAY M., CIMENT,

MELVYN, LEVENTHAL, STEPHEN H. & WEINBERG,BERNARDO. 695

LeVEQUE, RANDALL J. See: EVANS, JOHN W., GRAGG, WILLIAM B. & LeVEQUE,RANDALL J. 203

LEVIN, DAVID On Accelerating the Convergence of Infinite Double Seriesand Integrals. 1331

LUNDIN, L. R. A Cardinal Function Method of Solution of the EquationAu = u - u3. 747

LUSKIN, MITCHELL A Finite Element Method for First-Order Hyperbolic Systems

INDEX OF PAPERS BY AUTHORS 1449

Author

lynch, robert e. &rice, john r.

lyness, j. n. &monegato, g.

McMillan, edwin m.MacLEAN, D. W.MÄHER, DAVID P.

MAJDA, ANDREWMAKROGLOU, ATHENA

MANTEUFFEL, T. A.

MARSAGLIA, GEORGEMARTÍ, J.T.

MARTINS, M. MADALENA

MEEK, D.MEINARDUS, GÜNTER &

TAYLOR, G. D.MIEL, GEORGE J.MINOLI, DANIELMINOLI, DANIELMONEGATO, G.NEDELEC, J.CLAUDENETA, BENY

NICKEL, LAURANOCEDAL, JORGENOLL, CURT & NICKEL,

LAURAOSBORN, J.OSHER, STANLEYPAIGE, C. C.

PARTER, SEYMOUR V.

PASCIAK, JOSEPH E.

PHILIP, J. R.

PITKÄRANTA, J.PITKÄRANTA, JUHANI

PLESKEN, WILHELM &POHST, MICHAEL

PLESKEN, WILHELM &POHST, MICHAEL

PLESKEN, WILHELM &POHST, MICHAEL

POHST, MICHAELPOHST, MICHAELPOHST, MICHAELPOMERANCE, CARL,

SELFRIDGE, J. L. &WAGSTAFF, SAMUEL S.JR.

Title Page

A High-Order Difference Method for Differential Equations... 333

Quadrature Error Functional Expansions for the SimplexWhen the Integrand Function Has Singularities at Vertices 213

See: BRENT, RICHARD P. & McMILLAN, EDWIN M. 305Residue Classes of the Partition Function. 313Existence Theorems for Transforms Over Finite Rings With

Applications to 2-D Convolution. 757See: CRANDALL, MICHAEL G. & MAJDA, ANDREW. 1Convergence of a Block-By-Block Method for Nonlinear

Volterra Integro-Differential Equations. 783An Incomplete Factorization Technique for Positive Definite

Linear Systems. 473Generating Random Variables With a i-Distribution. 235On the Convergence of an Algorithm Computing Minimum-

Norm Solutions of Ill-Posed Problems. 521On an Accelerated Overrelaxation Iterative Method for Li-

near Systems With Strictly Diagonally Dominant Matrix... 1269A Mean Value Theorem for Linear Functional. 797Optimal Partitioning of Newton's Method for Calculating

Roots. 1221Majorizing Sequences and Error Bounds for Iterative Methods 185Inductive Formulae for General Sum Operations. 543Issues in Nonlinear Hyperfect Numbers. 639See: LYNESS, J. N. & MONEGATO, G. 213See: JOHNSON, CLAES & NEDELEC, J. CLAUDE. 1063On Determination of Best Possible Constants in Integral Ine-

qualities Involving Derivatives.1191See: NOLL, CURT & NICKEL, LAURAUpdating Quasi-Newton Matrices With Limited Storage. 773The 25th and 26th Mersenne Primes. 1387

See: BABUSKA, I., OSBORN, J. & PITKÄRANTA, J.See: ENGQUIST, BJORN & OSHER, STANLEY.Error Analysis of Some Techniques for Updating Orthogonal

Decompositions.On the Roles of "Stability" and "Convergence" in Semi-

discrete Projection Methods for Initial-Value Problems.Spectral and Pseudo Spectral Methods for Advection Equa-

tions.The Convergence and Partial Convergence of Alternating

Series.See: BABUSKA, I., OSBORN, J. & PITKÄRANTA, J.Local Stability Conditions for the Babuska Method of

Lagrange Multipliers.On Maximal Finite Irreducible Subgroups of GL(n, Z) III.

The Nine Dimensional Case.On Maximal Finite Irreducible Subgroups of GL(n, Z) IV.

Remarks on Even Dimensions With Applications to n = 8On Maximal Finite Irreducible Subgroups of GL(n, Z) V.

The Eight Dimensional Case and a Complete Descriptionof Dimensions Less Than Ten.

See: PLESKEN, WILHELM & POHST, MICHAEL.See: PLESKEN, WILHELM & POHST, MICHAEL.See: PLESKEN, WILHELM & POHST, MICHAEL.

QThe Pseudoprimes to 25-10 .

103945

465

127

1081

907

1113

245

259

277245259277

1003

1450 INDEX OF PAPERS BY AUTHORS

Author Title Page

van der POORTEN, A. J. See: AGRAWAL, M. K., COATES, J. H., HUNT, D. C. &van der POORTEN, A. J. 991

RABINOWITZ, PHILIP The Exact Degree of Precision of Generalized Gauss-KronrodIntegration Rules. 1275

RICE, JOHN R. See: LYNCH, ROBERT E. & RICE, JOHN R. 333RUHE, AXEL See: ERICSSON, THOMAS & RUHE, AXEL. 1251SALZER, HERBERT E. Misstatements in Milne-Thomson, Calculus of Finite Differ-

ences, Macmillan, London, 1933. 323SAMMON, PETER H. See: BRAMBLE, JAMES H. & SAMMON, PETER H. 655SAYFY, A. See: COOPER, G. J. & SAYFY, A. 1159SCHATZ, ALFRED H. A Weak Discrete Maximum Principle and Stability of the

Finite Element Method in /_„, on Plane Polygonal Do-mains. 1. 77

SCHONFELDER, J. L. Very High Accuracy Chebyshev Expansions for the BasicTrigonometric Functions. 237

SCOTT, RIDGWAY See: DUPONT, TODD & SCOTT, RIDGWAY. 441SEAH, E. See: WILLIAMS, H. C, CORMACK, G. & SEAH, E. 567SELFRIDGE, J. L. See: GUY, RICHARD K. & SELFRIDGE, J. L. 319SELFRIDGE, J. L. See: POMERANCE, CARL, SELFRIDGE, J. L. &

WAGSTAFF, SAMUEL S., JR. 1003SERBIN, STEVEN M. On Factoring a Class of Complex Symmetric Matrices With-

out Pivoting. 1231SESMA, JAVIER See: CRUZ, ANDRÉS & SESMA, JAVIER. 1317SETZER, BENNETT The Determination of all Imaginary, Quartic, Abelian Num-

ber Fields With Class Number 1. 1383SHAN NO, D. F. On Variable-Metric Methods for Sparse Hessians. 499SHRAGER, RICHARD I. & Nonlinear Curve-Fitting in the /_, and Lx Norms. 529

HILL, EDWARD, JR.SIDI, AVRAM Analysis of Convergence of the T-Transformation for Power

Series. 833SIDI, AVRAM Numerical Quadrature and Nonlinear Sequence Transforma-

tions; Unified Rules for Efficient Computation of Inte-grals with Algebraic and Logarithmic Endpoint Singular-ities. 851

SKEEL, ROBERT D. Iterative Refinement Implies Numerical Stability forGaussian Elimination. 817

SOLOMON, JAY M. See: BERGER, ALAN E., SOLOMON, JAY M., CIMENT,MELVYN, LEVENTHAL, STEPHEN H. & WEINBERG,BERNARD C. 695

STOKES, A. N. A Stable Quotient-Difference Algorithm. 515STYNES, MARTIN On Faster Convergence of the Bisection Method for All

Triangles. 1195SWARTZ, BLAIR Compact, Implicit Difference Schemes for a Differential

Equation's Side Conditions. 733SWARTZ, BLAIR See: de BOOR, CARL & SWARTZ, BLAIR. 679TAYLOR, G. D. See: MEINARDUS, GÜNTER & TAYLOR, G. D.TEMPLER, MARK On the Primality of k\ + 1 anjd 2 * 3 * 5 * • • • * p + 1. 303THOMÉE, VIDAR Negative Norm Estimates and Superconvergence in Galerkin

Methods for Parabolic Problems. 93TRETTER, MARIETTA J. & Further Comments on the Computation of Modified Bessel

WALSTER, G. W. Function Ratios. 937TROESCH, B. A. The Shooting Method Applied to a Cyclic Inequality. 175VIGNERON, J. P. & LAMBIN, Gaussian Quadrature of Integrands Involving the Error Func-

PH. tion. 1299WAGSTAFF, SAMUEL S., JR. p-Divisibility of Certain Sets of Bernoulli Numbers. 647WAGSTAFF, SAMUEL S., JR. See POMERANCE, CARL, SELFRIDGE, J. L. &

WAGSTAFF, SAMUEL S., JR. 1003WAGSTAFF, SAMUEL S., JR. See: BAILLIE, ROBERT & WAGSTAFF, SAMUEL S., JR...

INDEX OF PAPERS BY AUTHORS 1451

Author Title Page

WALSTER, G. W. See: TRETTER, MARIETTA J. & WALSTER, G. W. 937WEINBERG, BERNARD C. See: BERGER, ALAN E., SOLOMON, JAY M., CIMENT,

MELVYN,LEVENTHAL STEPHEN H. &WEINBERG, BERNARD C. 695

WERSCHULZ, ARTHUR G. Computational Complexity of One-Step Methods for Sys-tems of Differential Equations. 155

WILKER, PETER An Efficient Algorithmic Solution of the Diophantine Equa-tion u2 + 5v2 = m.1347

WILLETT, MICHAEL Arithmetic in a Finite Field.1353WILLIAMS, H. C. Improving the Speed of Calculating the Regulator of Certain

Pure Cubic Fields. 1423WILLIAMS, H. C. See: CORMACK, G. V. & WILLIAMS, H. C.1419WILLIAMS, H. C, CORMACK, Calculation of the Regulator of a Pure Cubic Field. 567

G. & SEAH, E.WINTHER, RAGNAR A Conservative Finite Element Method for the Korteweg-de

Vries Equation. 23WINTHER, RAGNAR Initial Value Methods for Parabolic Control Problems. 115WRIGGE, STAFFAN See: FRANSEN, ARNE & WRIGGE, STAFFAN. 553

SUBJECT CLASSIFICATION SYSTEMFOR INDEX OF REVIEWS

The following subject classification system is used for the yearly index of reviews. In-dividual reviews in the quarterly issues are assigned index classification numbers in sim-plified form.

1.00 Biography and Bibliography (History)2.00 Selected Topics in Numerical Analysis

2.05 Approximation Theory2.05.1 Least Squares, Curve Fitting, Harmonic Analysis2.05.2 Chebyshev (Best) Approximation2.05.3 Interpolation, Extrapolation2.05.4 Inverse Interpolation2.05.5 Rational Approximation2.05.6 Splines

2.10 Numerical Integration2.10.1 One-Dimensional2.10.2 Multi-Dimensional2.10.3 Monte Carlo

2.15 Numerical Differentiation2.20 Roots of Equations2.25 Evaluation of Series2.30 Continued Fractions2.35 Iteration Methods, Acceleration Techniques2.40 Differences, Divided Differences2.45 Algorithms, General Theory2.50 Inequalities2.55 Stability of Computation, Significance Arithmetic2.60 Complexity of Computation

3.00 Linear Algebra3.05 Matrices3.10 Linear Equations

3.10.1 Error Analysis3.1 5 Eigenvalues and Eigenvectors

3.15.1 Error Analysis3.20 Matrix Inversion and Pseudo-Inverses

3.20.1 Error Analysis3.25 Linear and Nonlinear Programming, Theory of Games

3.25.1 Error Analysis3.30 Determinants3.35 Sparse Matrices

4.00 Ordinary Differential Equations4.05 Initial Value Problems

4.05.1 Analytic Methods4.05.1.1 Error Analysis

4.05.2 One-Step Methods4.05.2.1 Error Analysis

4.05.3 Multistep Methods4.05.3.1 Error Analysis

4.10 Linear Boundary Value and Eigenvalue Problems4.10.1 Analytic Methods

4.10.1.1 Error Analysis4.10.2 Initial Value (Trial and Error or Shooting) Methods

4.10.2.1 Error Analysis

1452

SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS 1453

4.10.3 Finite Difference (Nonshooting) Methods4.10.3.1 Error Analysis

4.10.4 Finite Element Methods4.10.4.1 Error Analysis

4.15 Nonlinear Boundary Value and Eigenvalue Problems4.15.1 Analytic Methods

4.15.1.1 Error A nal y sis4.15.2 Initial Value (Trial and Error or Shooting) Methods

4.15.2.1 Error Analysis4.15.3 Finite Difference (Nonshooting) Methods

4.15.3.1 Error Analysis5.00 Partial Differential Equations

5.05 Initial Value Problems5.05.1 Analytic Methods

5.05.1.1 Error Analysis5.05.2 Explicit Difference Methods

5.05.2.1 Error Analysis5.05.3 Implicit Difference Methods, Iterative Schemes

5.05.3.1 Error Analysis5.05.4 Finite Element and Other Approximation Methods

5.05.4.1 Error Analysis5.10 Boundary Value Problems

5.10.1 Analytic Methods5.10.1.1 Error A nal y sis

5.10.2 Finite Difference Methods, Iterative Schemes5.10.2.1 Error Analysis

5.10.3 Finite Element and Other Approximation Methods5.10.3.1 Error Analysis

5.15 Eigenvalue Problems5.15.1 Analytic Methods

5.15.1.1 Error A nalysis5.15.2 Finite Difference Methods, Iterative Schemes

5.15.2.1 Error Analysis5.15.3 Finite Element and Other Approximation Methods

5.15.3.1 Error A nalysis5.20 Mixed Initial and Boundary Value Problems

5.20.1 Analytic Methods5.20.1.1 Error Analysis

5.20.2 Explicit Difference Methods5.20.2.1 Error Analysis

5.20.3 Implicit Difference Methods, Iterative Schemes5.20.3.1 Error Analysis

5.20.4 Finite Element and Other Approximation Methods5.20.4.1 Error Analysis

6.00 Other Functional Equations

6.05 Difference Equations6.10 Difference-Differential Equations6.15 integral Equations6.20 Integro-Dlfferential Equations6.25 Convolution Equations6.30 Variational Equations6.35 Abstract Operator Equations6.40 Stochastic Differential Equations

7.00 Special Functions7.05 Mathematical Constants, Special Polynomials (Nonorthogonal) and Numbers:

Bernoulli, Euler, Stirling, Binomial Coefficients, Factorials7.10 Elementary Functions, Powers and Roots7.15 Gamma Functions, Psi Functions, Zeta Functions and Related Functions7.20 Incomplete Gamma Functions

1454 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS

7.20.1 Exponential Integral, Cosine and Sine Integrals and Related Functions7.20.2 Error Functions, Fresnel Integrals and Related Functions

7.25 Confluent Hypergeometric Functions7.25.1 Parabolic Cylinder Functions7.25.2 Coulomb Wave Functions

7.30 Bessel Functions7.35 Lommel Functions, Struve Functions, Anger-Weber Functions and Associated

Bessel Functions7.40 Legendre Functions7.45 Gaussian Hypergeometric Functions7.50 Orthogonal Polynomials and Functions7.55 Expansions in Series of Orthogonal Polynomials, Bessel Functions, Other Functions7.60 Llliptical Integrals and Functions, Weierstrass Elliptic Integrals, Related Functions7.65 Mathieu Functions7.70 Spheroidal Wave Functions, Other Wave Functions7.75 Generalized Hypergeometric Functions of a Single Variable7.80 Generalized Hypergeometric Functions of More Than One Variable7.85 Basic Hypergeometric Functions7.90 Integral Transforms7.95 Numerical Tables of Integrals and Transforms7.100 Numerical Tables of Infinite Series7.105 Handbooks of Mathematical Tables and Formulae

8.00 Probability and Statistics8.05 Random Numbers

8.05.1 Tables8.10 Monte Carlo, Markov Chains8.15 Multivariate Analysis8.20 Regression Analysis8.25 Analysis of Variance8.30 Time Scries Analysis8.35 Nonparametric Analysis8.40 Sequential Analysis8.45 Classical Statistics8.50 Handbooks of Tables and Formulae

9.00 Number Theory9.05 Mersenne, Fermât, Perfect and Related Numbers9.10 Number-Theoretic Functions and Tables9.15 Binomial Congruences, Primitive Roots, Residues, etc.9.20 Primes and Their Distribution9.25 Factorization9.30 Forms and Diophantine Equations9.35 Continued Fractions and Diophantine Approximation9.40 Normal Numbers and Distribution of Digits9.45 Modular Computation

10.00 Algebra and Combinatorial Theory10.05 Groups, Rings, Fields, Algebras10.10 Finite Fields10.15 Irreducible Polynomials10.20 Arrays, Latin Squares10.25 Protective Planes, Block Designs, Difterence Sets10.30 Permutations, Combinatorial Identities10.35 Graph Theory

11.00 Geometry11.05 Coordinate Conversion Tables11.10 Polyhedra and Polytopes11.1 5 Graph Theory

12.00 Computers and Other Aids to Computation

1 2.05 Digital Computers

SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS 1455

12.05.1 Coding, Programming and Software1 2.05.2 Design and Hardware12.05.3 Computer Aided Instruction

12.10 Analog Computers12.10.1 Design and Hardware

12.15 Digital-Analog (Hybrid) Computers12.15.1 Coding, Programming and Software12.15.2 Design and Hardware

12.20 Mechanical Aids to Computation-Slide Rules, Desk Calculators, Others1 2.25 Nomographs

13.00 Application13.05 Physical and Chemical Sciences

13.05.1 Weights and Measures Tables13.10 Astronomy, Astrophysics

13.10.1 Navigation Tables13.15 Engineering Sciences

13.15.1 Engineering Tables13.20 Earth Sciences, Atmospheric Sciences, Fluid Dynamics

1 3.20.1 Triangulation and Geodetic Tables1 3.25 Biology and the Behavioral Sciences1 3.30 Economics and the Social Sciences13.35 Information Theory, Automata, Logic Control Theory, Dynamic Programming,

Cybernetics13.40 Management Problems, Data Analysis and Processing1 3.45 Actuarial Science

13.45.1 Actuarial and Financial Tables13.50 Humanities, Linguistics13.55 Logic

14.00 Miscellaneous14.05 Mathematical Research, Mathematical Education

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Authorde BOOR, CARLBREZINSKI, CLAUDEBUNCH, J. R.

CASLIN, JAMES C.

ReviewNumber

12

10

CONDE, S. & KALLA, S. L. 6CONDE, S. & KALLA, S. L. 7CONDE, SALVADOR 13CONDE, SALVADOR & KALLA, 5

SHYAM L.DAVIS, PHILIP J. 14DONGARRA, J. J., BUNCH, J. R., 10

MOLER, C. B. & STEWART, G. W.DUFF, I. S. & STEWART, G. W., Editors 15EVANS, R. J. 12FETTIS, HENRY E. & CASLIN, JAMES C. 4FRIED, ISAAC 3GILEWICZ, J. 11JABLON, CLAUDE & SIMON, JEAN 16

CLAUDEKALLA, S. L. 6KALLA, S. L. 7KALLA, SHYAM L. 5

MacLEAN, D. W. 8MÄKI, SIRPA 20MOLER, C. B. 10

PARTER, SEYMOUR V., Editor 18te RIELE, H. J. J. 19SIMON, JEAN CLAUDE 16

STEWART, G. W. 10

STEWART, G. W. 15

WENDLAND, W. L. 17YAKOWITZ, SIDNEY J. 9

Classification Page2.05.6 3252.35 326See: DONGARRA, J. J., BUNCH, J. R.,

MOLER, C. B. & STEWART, G. W. 1033See: FETTIS, HENRY E. & CASLIN,

JAMES C. 3287.45 3307.45 3307.30 14377.30 329

3.05 14383.10, 3.20 1033

3.00,3.25 14399.10 10367.20 3283.00,4.00,5.00,13.15 3272.05.5 103413.05 1439

See: CONDE, S. & KALLA, S. L. 330See: CONDE, S. & KALLA, S. L. 330See: CONDE, SALVADOR & KALLA,

SHYAM L. 3299.10,9.15 3309.10 1442See: DONGARRA, J. )., BUNCH, J. R.,

MOLER, C. B. & STEWART, G. W. 10335.00 14417.15 1442See: JABLON, CLAUDE & SIMON,

JEAN CLAUDE 1439See: DONGARRA, J. J., BUNCH, J. R.,

MOLER, C. B. & STEWART, G. W. 1033See: DUFF, I. S. & STEWART, G. W.,

Editors 14395.00 14408.00 651

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED

AuthorReviewNumber Title

2.00 Selected Topics in Numerical Analysis2.05 Approximation Theory

2.05.5 Rational ApproximationGILEWICZ, J. 11

2.05.6 Splinesde BOOR, CARL 1

2.35 Iteration Methods, Acceleration TechniquesBREZINSKI, CLAUDE 2 Algorithmes d'Accélération de la Con-

vergence Etude Numérique

Approximants de Padé

A Practical Guide to Splines

Page

1034

325

326

1456

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED 1457

Author

3.00 Linear AlgebraDUFF, I. S. & STEWART, G. W., EditorsFRIED, ISAAC

ReviewNumber

153

Title

Sparse Matrix ProceedingsNumerical Solution of Differential

Equations3.05 Matrices

DAVIS, PHILIP J. 143.10 Linear Equations

DONGARRA, J. J., BUNCH, J. R., 10MOLER, C. B. & STEWART, G. W.

3.20 Matrix Inversion and Pseudo-InversesDONGARRA, J. J., BUNCH, J. R., 10

MOLER, C. B. & STEWART, G. W.3.25 Linear and Nonlinear Programming, Theory of Games

Circulant Matrices

LINPACK User's Guide

LINPACK User's Guide

DUFF, I. S. & STEWART, G. W., Editors4.00 Ordinary Differential Equations

FRIED, ISAAC

5.00 Partial Differential EquationsFRIED, ISAAC

PARTER, SEYMOUR V., Editor

Page

1439

327

1438

1033

1033

143915 Sparse Matrix Proceedings

3 Numerical Solution of Differential Equa-tions 327

3 Numerical Solution of Differential Equa-tions 327

18 Numerical Methods for Partial DifferentialEquations 1441

17 Elliptic Systems in the Plane 1440WENDLAND, W. L.7.00 Special Functions

7.15 Gamma Functions, Psi Functions, Zeta Functions and Related Functionste RIELE,H. J. J. 19

7.20 Incomplete Gamma FunctionsFETTIS, HENRY E. & CASLIN, JAMES C. 4

7.30 Bessel FunctionsCONDE, SALVADOR 13

CONDE, SALVADOR & KALLA, 5SHYAM L.

7.45 Gaussian Hypergeometric FunctionsCONDE, S. & KALLA, S. L. 6

Tables of the First 15,000 Zeros of theRiemann Zeta Function to 28 Signifi-cant Figures, and Related Quantities 1442

Ten-Place Tables of the Voigt and GrowthFunctions 328

Raices de Ecuaciones Trascendentes conProductos Cruzados de Funciones deBessel de Diferentes Ordenes 1437

Tables of Bessel Functions and Roots ofRelated Transcendental Equations 329

A Table of Gauss' Hypergeometric Func-tion 2F, (a, b; c; x) 330

On the Zeros of 2F. (a, b; c; x) 330

Computational Probability and Simulation 651

CONDE, S. & KALLA, S. L. 78.00 Probability and Statistics

YAKOWITZ, SIDNEY J. 99.00 Number Theory

9.10 Number-Theoretic Functions and TablesEVANS, R. J. 12 Table of Cyclotomic Numbers of Order

Twenty-Four 1036MacLEAN, D. W. 8 Residue Classes of the Partition Function 330MÄKI, SIRPA 20 The Determination of Units in Real Cyclic

Sextic Fields 14429.15 Binomial Congruences, Primitive Roots, Residues, etc.

MacLEAN, D. W. 8 Residue Classes of the Partition Function 33013.00 Applications

13.05 Physical and Chemical SciencesJABLON, CLAUDE & SIMON, JEAN 16 Applications des Modèles Numérique en

CLAUDE Physique 143913.15 Engineering Sciences

FRIED, ISAAC 3 Numerical Solution of Differential Equa- 327tions

1458 INDEX OF TABLE ERRATA

No.

571

566

572567

568

569

573

570

INDEX OF TABLE ERRATA

77f/eAuthor

DICKSON, L. E.

FETTIS, HENRY E. & CASLIN,JAMES C.

GRADSHTEYN, I. S. & RYZHIK, I. M.HOBSON, E. W.

JORDAN, C.

MAGNUS, W., OBERHETTINGER, F.& SONI, R. P.

MORRISON, MICHAEL A. &BRILLHART, JOHN

SPIEGEL, M. R.

Page

Finiteness of the Odd Perfect and Primi-tive Abundunt Numbers With n Dis-tinct Prime Factors 652

Ten-Place Tables of the Voigt and GrowthFunctions 331

Table of Integrals, Series, and Products 1444The Theory of Spherical and Ellipsoidal

Harmonics 331Sur la Résolution des Equations les Unes

par les Autres 331Formulas and Theorems for the Special

Functions of Mathematical Physics 332A Method of Factoring and the Factori-

zation of F7 1444Mathematical Handbook of Formulas and

Tables 332INDEX OF CORRIGENDA

Author

ENGQUIST, BJORN & OSHER, STANLEY

KROGH, FRED T.

WRENCH, J. W., JR.

Title Page

Stable and Entropy Satisfying Approxima-tions for Transonic Flow Calculations 652

Recurrence Relations for Computing WithModified Divided Differences 1445

MTE 542, Math. Comp., v. 31, 1977,p. 807 332

INDEX OF MICROFICHE SUPPLEMENTS

AuthorPLESKEN, WILHELM & POHST, MICHAEL

Title MOC IssueOn Maximal Finite Irreducible Sub-

groups of GL(n, Z) V. The EightDimensional Case and a CompleteDescription of Dimensions LessThan Ten January

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