VOLUMES XXXVI AND XXXVIIINDEX OF PAPERS BY AUTHORS

AuthorADLEMAN, LEONARD &

LEIGHTON, FRANKTHOMSON

ARNOLD, DOUGLAS N.,DOUGLAS, JIM JR. &THOMÉE, V1DAR

ARNON, DENNISASH, J. MARSHALL &

JONES, ROGER L.AVDELAS, G. &

HADJIDIMOS, A.AZIZ, A. K. & KELLOGG,

R. BRUCEBABUSKA, I.BABUSKA, I.BABUSKA, I.BAILLIE, ROBERT,

CORMACK, G &WILLIAMS, H. C.

BANK, RANDOLPH E. &DUPONT, TODD

BARDOS, CLAUDE,BERCOVIER, MICHEL &PIRONNEAU, OLIVIER

BEALE, J. THOMAS &MAJDA, ANDREW

BERCOVIER, MICHEL

BERGER, ALAN E.,SOLOMON, JAY M. &CIMENT, MELVYN

BOJANOV, BORISLAV D.

de BOOR, CARL &SWARTZ, BLAIR

de BOOR, CARL &SWARTZ, BLAIR

BORHO, W.BOYD, JOHN P.

BRAMBLE, JAMES H.

BRENT, RICHARD P. &POLLARD, JOHN M.

CANTOR, DAVID G. &ZASSENHAUS, HANS

Title Vol. PageAn 0(n1/10-89) Primallty Testing Algorithm. 36 261

Superconvergence of a Finite Element Approxi-mation to the Solution of a Sobolev EquationIn a Single Space Variable. 36 53

See: GUNJI, HIROSHI & ARNON, DENNIS. 36 281Optimal Numerical Differentiation Using Three

Function Evaluations. 37 159Optimum Accelerated Overrelaxation Method in a

Special Case. 36 183Finite Element Analysis of a Scattering Problem... 37 261

See: VOGELIUS, M. & BABUSKA, 1. 37 31See: VOGELIUS, M. & BABUSKA, 1. 37 47See: VOGELIUS, M. & BABUSKA, 1. 37 361The Problem of Slerpiriski Concerning k ■ 2n + 1.37 229

An Optimal Order Process for Solving Finite Ele-ment Equations. 36 35

The Vortex Method With Finite Elements. 36 119

Rates of Convergence for Viscous Splitting of theNavler-Stokes Equations. 37 243

See: BARDOS, CLAUDE, BERCOVIER, MICHEL& PIRONNEAU, OLIVIER. 36 119

An Analysis of a Uniformly Accurate Difference 37Method for a Singular Perturbation Problem. 37 79

Uniqueness of the Optimal Modes of QuadratureFormulae. 36 525

Collocation Approximation to Eigenvalues of anOrdinary Differential Equation: NumericalIllustrations. 36 1

Local Piecewlse Polynomial Projection Methodsfor an O. D. E. Which Give High-Order Conver-gence at Knots. 36 21

Some Large Primes and Amicable Numbers. 36 303The Rate of Convergence of Chebyshev Polyno-

mials for Functions Which Have AsymptoticPower Series About One Endpoint. 37 189

The Lagrange Multiplier Method for Dirichlet'sProblem. 37 1

Factorization of the Eighth Fermât Number. 36 627

A New Algorithm for Factoring Polynomials OverFinite Fields. 36 587

607

608 INDEX OF PAPERS BY AUTHORS

AuthorCHOU, Y. S.CIMENT, MELVYN

CORMACK, G.

DUIJVESTIJN, A. J. W. &FEDERICO, P. J.

DELAHAYE, J. P.DELFOUR, M., HAGER, W.

& TROCHU, F.DESCLOUX, JEAN, LUSKIN,

MITCHELL & RAPPAZJACQUES

DIXON, JOHN D.DJAOUA, M.

DOUGLAS, JIM JR.

DUIJVESTIJN, A. J. W. &LEEUW, P.

DUNHAM, C. B. &WILLIAMS, JACK

DUPONT, TODDDYKSEN, WAYNE R.

ENGQUIST, BJORN &OSHER, STANLEY

FEDERICO, P. J.FIELD, DAVID A.

FORNBERG, BENGT

FRANSEN, ARNE

FRANSEN, ARNE

GAUTSCHI, WALTER

GLASHOFF, K. &ROLEFF, K.

GLASSER, M. L.GOLDBERG, MOSHE &

TADMOR, EITAN

GOLDSTEIN, C. I.

GOTTLIEB, DAVIDGOTTLIEB, DAVID,

ORSZAG, STEVEN A. &TURKEL, ELI

GUNJI, HIROSHI & ARNON,DENNIS

HADJIDIMOS, A.HAGER, W.HAGIS, PETER JR.

77f/e Vol. PageSee: HSU, L. C. & CHOU, Y. S. 37 503See: BERGER, ALAN E., SOLOMON, JAY M.

& CIMENT, MELVYN. 37 79See: BAILLIE, ROBERT, CORMACK, G. &

WILLIAMS, H. C. 37 229The Number of Polyhedral (3-Connected Planar)

Graphs. 37 523Automatic Selection of Sequence Transformations 37 197Discontinuous Galerkln Methods for Ordinary Dif-

ferential Equations. 36 455Approximation of the Spectrum of Closed Opera-

tors: The Determination of Normal Modesof a Rotating Basin. 36 137

Asymptotically Fast Factorization of Integers. 36 255A Method of Calculation of Lifting Flows Around

Two-Dlmenslonal Corner-Shaped Bodies. 36 405See: ARNOLD, DOUGLAS N., DOUGLAS, JIM

JR. & THOMÉE, VIDAR. 36 53Lowest Order Squared Rectangles and Squares

With the Largest Element Not on theBoundary. 37 223

Rate of Convergence of Discretization InChebyshev Approximation. 37 135

See: BANK, RANDOLPH E. & DUPONT, TODD 36 35See: RICE, JOHN R., HOUSTIS, ELIAS N. &

DYKSEN, WAYNE R. 36 475One-Sided Difference Approximations for Non-

linear Conservation Laws. 36 321See: DUIJVESTIJN, A. J. W. & FEDERICO, P. J. 37 523An Algorithm for Determining Invertible Quadra-

tic Isoparametric Finite Element Transforma-tions. 37 347

A Vector Implementation of the Fast FourierTransform Algorithm. 36 189

Addendum and Corrigendum to "High-PrecisionValues of the Gamma Function and of SomeRelated Coefficients". 37 233

Conjectures on the Taylor Series Expansion Coef-ficients of the Jacoblan Elliptic Functionsn(x, k). 37 475

Minimal Solutions of Three-Term Recurrence Re-lations and Orthogonal Polynomials. 36 547

A New Method for Chebyshev Approximation ofComplex-Valued Functions. 36 233

A Class of Bessel Summations. 37 499Scheme-Independent Stability Criteria for Differ-

ence Approximations of Hyperbolic Initial-Boundary Value Problems. II. 36 603

The Finite Element Method With NonuniformMesh Sizes for Unbounded Domains. 36 387

The Stability of Pseudospectral-Chebyshev Methods 36 107Stability of Pseudospectral and Finite-Difference

Methods for Variable Coefficient Problems. 37 293

On Polynomial Factorization Over Finite Fields. 36 281

See: AVDELAS, G. & HADJIDIMOS, A. 36 183See: DELFOUR, M., HAGER, W. & TROCHU, F. 36 455Unitary Hyperperfect Numbers. 36 299

AuthorHARTEN, AMIRAM &

TAL-EZER, HILLEL

HEMKER, P. W. &SCHIPPERS, H.

HENDY, M. D. & JEANS, N. S.HICKS, D. L.HOUSTIS, ELIAS N.

HSU, L. C. & CHOU, Y. S.

ISAACSON, D., ISAACSON,E. L., MARCHESIN, D. &PAES-LEME, P. J.

ISAACSON, E. L.

ISERLES, A.

JAMESON, A. & TURKEL, E.JEANS, N. S.JEN, ERICA &

SRIVASTAV, R. P.JONES, ROGER L.KELLOGG, R. BRUCEKISHORE, MASAO

LAFRAMBOISE, J. G.LANCASTER, P. &

SALKAUSKAS, K.LAND,RUDOLF

LAYTON, WILLIAM J.

LEAVITT, W. G. & MULLIN,ALBERTA.

LEEUW, P.LEHMER, D. H.LEIGHTON, FRANK

THOMSONLE ROUX, A. Y.

LE ROUX, A. Y.

LOCHER, F.

LUKE, YUDELL L.LUSK, E. L.LUSKIN, MITCHELL

McCLURE, J. P.McCORMICK, STEPHEN F.McCULLAGH, PETER

MAHONEY, J. F.

MAJDA, ANDREWMAKROGLOU, ATHENA

INDEX OF PAPERS BY AUTHORS

Title Vol.On a Fourth Order Accurate Implicit Finite Dif-

ference Scheme for Hyperbolic ConservationLaws: I. Nonstlff Strongly Dynamic Problems 36

Multiple Grid Methods for the Solution ofFredholm Integral Equations of the Second Kind 36

The Jacobl-Perron Algorithm In Integer Form. 36Hydrocode Subcycllng Stability. 37See: RICE, JOHN R., HOUSTIS, ELIAS N. &

DYKSEN, WAYNE R. 36An Asymptotic Formula for a Type of Singular

Oscillatory Integrals. 37Numerical Analysis of Spectral Properties of

Coupled Oscillator Schrödinger Operators I.Single and Double Well Anharmonic Oscillators 37

See: ISAACSON, D., ISAACSON, E. L.,MARCHESIN, D. & PAES-LEME, P. J. 37

Quadrature Methods for Stiff Ordinary Differen-tial Systems. 36

Implicit Schemes and LU Decompositions. 37See: HENDY, M. D. & JEANS, N. S. 36Cubic Splines and Approximate Solution of

Singular Integral Equations. 37See: ASH, J. MARSHALL & JONES, ROGER L.... 37See: AZIZ, A. K. & KELLOGG, R. BRUCE. 37On Odd Perfect, Quasiperfect, and Odd Almost

Perfect Numbers. 36See: SHEPHERD, M. M. & LAFRAMBOISE, J. G. 36Surfaces Generated by Moving Least Squares

Methods. 37Computation of Pólya Polynomials of Primitive

Permutation Groups. 36Estimates Away From a Discontinuity for Dissl-

patlve Galerkln Methods for Hyperbolic Equa-tions. 36

Primes Differing by a Fixed Integer. 37

See: DUIJVESTIJN, A. J. W. & LEEUW, P. 37On Fermat's Quotient, Base Two. 36See: ADLEMAN, LEONARD & LEIGHTON,

FRANK THOMSON. 36Stability of Numerical Schemes Solving Quasi-

Linear Wave Equations. 36Numerical Stability for Some Equations of Gas

Dynamics. 37Interpolation on Uniform Meshes By the Trans-

lates of One Function and Related Attenua-tion Factors. 37

See: TING, BING-YUAN & LUKE, YUDELL L.... 37See: WINKER, S. K., WOS, L. & LUSK, E. L. 37See: DESCLOUX, JEAN, LUSKIN, MITCHELL

& RAPPAZ, JACQUES. 36See: WONG, R. & McCLURE, J. P. 37A Mesh Refinement Method for Ax = \Bx. 36A Rapidly Convergent Series for Computing

610 INDEX OF PAPERS BY AUTHORS

AuthorMARCHESIN, D.

MARTINS, M. MADALENA

MATHON, RUDOLF A.,PHELPS, KEVIN T. &ROSA, ALEXANDER

MERCIER, B., OSBORN, J.,RAPPAZ, J. & RAVIART,P. A.

MINGYOU, HUANG &THOMÉE, VIDAR

MOND, B.

MOSSIGE, SVEIN

MULLIN, ALBERT A.MUNZ, HARRY

ORSZAG, STEVEN A.

OSBORN, J.

OSHER, STANLEYPAES-LEME, P. J.

PENNLINE, JAMES A.

PHELPS, KEVIN T.

PIAZZA, GIUSEPPEPIRONNEAU, OLIVIER

PITKÄRANTA, JUHANI

POLLARD, JOHN M.

POMERANCE, CARLQUEEN, LARISSA

RAPPAZ, J.

RAPPAZ, JACQUES

RAVIART, P. A.

RICE, JOHN R., HOUSTIS,ELIAS N. & DYKSEN,WAYNE R.

RICHTER, GERARD R.

te RIELE, HERMAN J. J.

ROLEFF, K.ROSA, ALEXANDER

Title Vol.See: ISAACSON, D., ISAACSON, E. L.,

MARCHESIN, D. & PAES-LEME, P. J. 37Note on Irreducible Diagonally Dominant Matrices

and the Convergence of the AOR IterativeMethod. 37

A Class of Stelner Triple Systems of Order 21and Associated Klrkman Systems. 37

Eigenvalue Approximation by Mixed and HybridMethods. 36

Some Convergence Estimates for SemidiscreteType Schemes for Time-Dependent Non-selfadjolnt Parabolic Equations. 37

On Algorithmic Equivalence in Linear FractionalProgramming. 37

Algorithms for Computing the /7-Range of thePostage Stamp Problem. 36

See: LEAVITT, W. G. & MULLIN, ALBERT A.... 37Uniform Expansions for a Class of Finite Differ-

ence Schemes for Elliptic Boundary ValueProblems. 36

See: GOTTLIEB, DAVID, ORSZAG, STEVEN A.& TURKEL, ELI. 37

See: MERCIER, B., OSBORN, J., RAPPAZ, J. &RAVIART, P. A. 36

See: ENGQUIST, BJORN & OSHER, STANLEY... 36See: ISAACSON, D., ISAACSON, E. L.,

MARCHESIN, D. & PAES-LEME, P. J. 37Improving Convergence Rate in the Method of

Successive Approximations. 37See: MATHON, RUDOLF A., PHELPS, KEVIN

T. & ROSA, ALEXANDER. 37On the BN Stability of the Runge-Kutta Methods 37See: BARDOS, CLAUDE, BERCOVIER, MICHEL

& PIRONNEAU, OLIVIER. 36The Finite Element Method With Lagrange Multi-

pliers for Domains With Corners. 37See: BRENT, RICHARD P. & POLLARD,

JOHN M. 36On the Distribution of Pseudoprimes. 37Modular Functions Arising From Some Finite

Groups. 37See: MERCIER, B., OSBORN, J., RAPPAZ, J. &

RAVIART, P. A. 36See: DESCLOUX, JEAN, LUSKIN, MITCHELL &

RAPPAZ, JACQUES. 36See: MERCIER, B., OSBORN, J., RAPPAZ, J. &

RAVIART, P. A. 36A Population of Linear, Second Order, Elliptic

Partial Differential Equations on RectangularDomains. Part 1. 36

Numerical Identification of a Spatially VaryingDiffusion Coefficient. 36

Hyperfect Numbers With Three Different PrimeFactors. 36

See: GLASHOFF, K. & ROLEFF, K. 36See: MATHON, RUDOLF A., PHELPS, KEVIN T.

& ROSA, ALEXANDER. 37

Page

273

101

209

427

327

185

575581

155

293

427321

273

127

209399

119

13

627587

547

427

137

427

475

375

297233

209

INDEX OF PAPERS BY AUTHORS 611

AuthorSAAD, Y.

SALKAUSKAS, K.SCHIPPERS, H.SCHNEIDER, CLAUS

SHAMPINE, L. F.

SHANKS, DANIEL &WILLIAMS, H. C.

SHEPHERD, M. M. &LAFRAMBOISE, J. G.

SLOAN, IAN H.

SMYTH, C. J.

SOLOMON, JAY M.

SRIVASTAV, R. P.STARIUS, GORAN

STOTHERS, W. W.

STUMMEL, F.

SWARTZ, BLAIRSWARTZ, BLAIRTADMOR, EITANTAL-EZER, HILLELTHOMAS, K. S.THOMÉE, VIDAR

THOMÉE, VIDARTING, BING-YUAN &

LUKE, YUDELL L.TOINT, PH. L.

TROCHU, F.TURKEL, E.TURKEL, ELI

VOGELIUS, M. &BABUSKA, I.

VOGELIUS, M. &BABUSKA, I.

VOGELIUS, M. &BABUSKA, I.

WEINTRAUB, SOLWILLIAMS, H. C.

WILLIAMS, H. C.

WILLIAMS, H. C.WILLIAMS, H. C.

WILLIAMS, JACK

Title Vol. PageKrylov Subspace Methods for Solving Large Un-

symmetric Linear Systems. 37 105See: LANCASTER, P. & SALKAUSKAS, K. 37 141See: HEMKER, P. W. & SCHIPPERS, H. 36 215Product Integration for Weakly Singular Integral

Equations. 36 207Type-Insensitive ODE Codes Based on Implicit

A -Stable Formulas. 36 499Gunderson's Function in Fermat's Last Theorem 36 291

Chebyshev Approximation of (1 + 2x)exp(x2) •erfc x in 0 < x < ~. 36 249

Quadrature Methods for Integral Equations ofthe Second Kind Over Infinite Intervals. 36 511

On the Measure of Totally Real Algebraic Inte-gers. II. 37 205

See: BERGER, ALAN E., SOLOMON, JAY M.& CIMENT, MELVYN.37 79

See: JEN, ERICA & SRIVASTAV, R. P. 37 417Asymptotic Expansions for a Class of Elliptic

Difference Schemes. 37 321Subgroups of Finite Index In a Free Product

With Amalgamated Subgroup. 36 653Perturbation Theory for Evaluation Algorithms

of Arithmetic Expressions. 37 435See: de BOOR, CARL & SWARTZ, BLAIR. 36 1See: de BOOR, CARL & SWARTZ, BLAIR. 36 21See: GOLDBERG, MOSHE & TADMOR, EITAN 36 603See: HARTEN, AMIRAM & TAL-EZER, HILLEL 36 353Galerkln Methods for Singular Integral Equations 36 193See: ARNOLD, DOUGLAS N., DOUGLAS, JIM

JR. & THOMÉE, VIDAR. 36 53See: MINGYOU, HUANG & THOMÉE, VIDAR... 37 327Computation of Integrals With Oscillatory and

Singular Integrands. 37 169A Sparse Quasl-Newton Update Derived Variation-

ally With a Nondiagonally Weighted FrobeniusNorm. 37 425

See: DELFOUR, M., HAGER, W. & TROCHU, F. 36 455See: JAMESON, A. & TURKEL, E. 37 385See: GOTTLIEB, DAVID, ORSZAG, STEVEN A.

& TURKEL, ELI. 37 293On a Dimensional Reduction Method I. The

Optimal Selection of Basis Functions. 37 31On a Dimensional Reduction Method II. Some

Approximation-Theoretic Results. 37 47On a Dimensional Reduction Method. III. A

Posteriori Error Estimation and an AdaptiveApproach. 37 361

A Large Prime Gap. 36 279A Numerical Investigation Into the Length of

the Perlod_of the Continued Fraction Expan-sion of s/D. 36 593

Some Results Concerning Voronoi's ContinuedFraction Over 2(Vß ). 36 631

See: SHANKS, DANIEL & WILLIAMS, H. C. 36 291See: BAILLIE, ROBERT, CORMACK, G. &

WILLIAMS, H. C. 37 229See: DUNHAM, C. B. & WILLIAMS, JACK. 37 135

612 INDEX OF PAPERS BY AUTHORS

AuthorWINKER, S. K., WOS, L.

& LUSK, E. L.WINTHER, RAGNAR

WONG, R. & McCLURE, J. P.

WOS, L.WRIGGE, STAFFAN

WRIGGE, STAFFAN

ZASSENHAUS, HANS

77f/e Vol. PageSemigroups, Antlautomorphisms, and Involutions:

A Computer Solution to an Open Problem, I 37 533A Stable Finite Element Method for Initial-

Boundary Value Problems for First-OrderHyperbolic Systems. 36 65

On a Method of Asymptotic Evaluation ofMultiple Integrals. 37 509

See: WINKER, S. K., WOS, L. & LUSK, E. L.... 37 533A Note on the Taylor Series Expansion Coeffi-

cients of the Jacoblan Elliptic Functionsn(x, k). 37 495

Calculation of the Taylor Series Expansion Coef-ficients of the Jacobian Elliptic Functionsn(x, k). 36 555

See: CANTOR, DAVID G. & ZASSENHAUS,HANS. 36 587

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 A nalysis3.15 Eigenvalues and Eigenvectors

3.15.1 Error A nal y si s3.20 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 Muitistep 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

613

614 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS

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 A nal y sis5.00 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 Analysis

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 Equations6.05 Difference Equations6.10 Difference-Differential Equations6.15 Integral Equations6.20 Integro-Differential 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

SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS 615

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 Elliptical 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 Series 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 Tables9.1 5 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 Projective Planes, Block Designs, Difference Sets10.30 Permutations, Combinatorial Identities10.35 Graph Theory

11.00 Geometry11.05 Coordinate Conversion Tables11.10 Polyhedra and Polytopes11.15 Graph Theory

12.00 Computers and Other Aids to Computation12.05 Digital Computers

616 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS

1 2.05.1 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) Computers1 2.1 5.1 Coding, Programming and Software12.15.2 Design and Hardware

12.20 Mechanical Aids to Computation-Slide Rules, Desk Calculators, Others12.25 Nomographs

13.00 Application13.05 Physical and Chemical Sciences

1 3.05.1 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

13.20.1 Triangulation and Geodetic Tables13.25 Biology and the Behavioral Sciences13.30 Economics and the Social Sciences1 3.35 Information Theory, Automata, Logic Control Theory, Dynamic Programming,

Cybernetics13.40 Management Problems, Data Analysis and Processing13.45 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

AuthorALBRECHT, J., COLLATZ, L. &

KIRCHGASSNER, K., EditorsANSORGE, R., GLASHOFF, K. &

WERNER, B., EditorsBREZINSKI, CLAUDEBULIRSCH, R.

CARRÉ, BERNARDCHIHARA, T. S.CIARLET, PHILIPPE G.COLLATZ, L.

DODES, IRVING ALLENGENTLE, J. E.

GLADWELL, I. & WAIT, R., EditorsGLASHOFF, K.

GLOWINSKI, R., RODIN, E. Y. &ZIENKIEWICZ, O. C, Editors

GORDON, M. K.

ReviewNumber

11

Classification4.15

2.00

1320

3168

414

911

16

12

GRADSHTEYN, I. S. & RYZHIK, I. M. 5HENRICI, PETER 15JAIN, M. K. 17KENNEDY, W. J. & GENTLE, J. E. 14KIRCHGASSNER, K. 8

PARLETT, BERESFORD N. 19PETERS, F. J. 18RIBENBOIM, PAULO 2te RIELE, H. J. J., Edltor 10RODIN, E. Y. 16

RYZHIK, I. M. 5

SCHEMPP, WALTER & ZELLER, 7KARL, Editors

SCHRÖDER, JOHANN 21SHAMPINE, L. F. & GORDON, M. K. 12STOER, J. & BULIRSCH, R. 20WAIT, R. 9

WERNER, B.

ZELLER, KARL

ZIENKIEWICZ, O. C.

11

7

16

Vol.36

36

37

37363636

2.05.5See: STOER, J. &

BULIRSCH, R.10.352.30, 7.505.10.3See: ALBRECHT, J. COLLATZ,

L. & KIRCHGASSNER, K.,Editors 36

2.00 36See: KENNEDY, W. J. &

GENTLE, J. E. 375.00 36See: ANSORGE, R., GLASHOFF,

K. & WERNER, B., Editors 365.10.3 37

See: SHAMPINE, L. F. &GORDON, M. K. 37

7.95, 7.100 3612.20 374.00, 5.00 378.00, 2.00, 3.00 37See: ALBRECHT, J., COLLATZ,

L. & KIRCHGASSNER, K.,Editors 36

3.15 373.35 379.00 366.15 36See: GLOWINSKI, R., RODIN,

E. Y. & ZIENKIEWICZ, O. C,Editors 37

See: GRADSHTEYN, I. S. &RYZHIK, I. M. 36

2.05 36

6.35 374.05.3, 12.05.1 372.00 37See: GLADWELL, I. &

WAIT, R., Editors 36See: ANSORGE, R.,

GLASHOFF, K. &WERNER, B., Editors 36

See: SCHEMPP, WALTER &ZELLER, KARL, Editors 36

See: GLOWINSKI, R., RODIN,E. Y. & ZIENKIEWICZ, O. C,Editors 37

Page665

665

238

600307305663

665308

240665

665596

237310595598240

665599598307665

596

310664

600237600

665

665

664

596617

618 INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWEDReview

Author Number2.00 Selected Topics In Numerical Analysis

ANSORGE, R., GLASHOFF, K. & 11WERNER, B., Editors

DODES, IRVING ALLEN 4

KENNEDY, W. J. & GENTLE, J. E. 14STOER, J. & BULIRSCH, R. 20

2.05 Approximation TheorySCHEMPP, WALTER & ZELLER, KARL, 7

Editors2.05.5 Rational Approximation

BREZINSKI, CLAUDE 13

77f/e Vol. Page

Numerical Mathematics 36 665

Numerical Analysis for ComputerScience 36 308

Statistical Computing 37 240Introduction to Numerical Analysis 37 600

Multivariate Approximation Theory 36 664

2.30 Continued FractionsCHIHARA, T. S. 1

3.00 Linear AlgebraKENNEDY, W. J. & GENTLE, J. E. 14

3.15 Eigenvalues and EigenvectorsPARLETT, BERESFORD N. 19

3.35 Sparse MatricesPETERS, F. J. 18

4:00 Ordinary Differential EquationsJAIN, M. K. 17

4.05 Initial Value Problems4.05.3 Multistep Methods

SHAMPINE, L. F. & GORDON, M. K. 12

Pade"-Type Approximation and Gen-eral Orthogonal Polynomials

An Introduction to OrthogonalPolynomials

Statistical Computing

The Symmetric Eigenvalue Problem

Sparse Matrices and Substructures witha Novel Implementation of FiniteElement Algorithms

Numerical Solution of DifferentialEquations

37 238

36

37

37

Computer Solution of Ordinary Differ-ential Equations

4.15 Nonlinear Boundary Value and Eigenvalue Problems37

ALBRECHT, J., COLLATZ, L. &KIRCHGASSNER, K., Editors

5.00 Partial Differential EquationsGLADWELL, I. & WAIT, R., Editors

JAIN, M. K.

8 Constructive Methods for NonlinearBoundary Value Problems andNonlinear Oscillations

9 A Survey of Numerical Methods forPartial Differential Equations

17 Numerical Solution of DifferentialEquations

5.10 Boundary Value Problems5.10.3 Finite Element and Other Approximation Methods

CIARLET, PHILIPPE G. 6

GLOWINSKI, R., RODIN, E. Y. & 16ZIENKIEWICZ, O. C, Editors6.00 Other Functional Equations

6.15 Integral Equationste RIELE, H. J. J., Editor 10

6.35 Abstract Operator EquationsSCHRÖDER, JOHANN 21

The Finite Element Method for Ellip-tic Problems

Energy Methods in Finite ElementAnalysis

Colloquium Numerical Treatment ofIntegral Equations

Operator Inequalities

36

37

36

37

36

37

7.00 Special Functions7.50 Orthogonal Polynomials and Functions

CHIHARA, T. S. 1 An Introduction to Orthogonal Poly-nomials

305

240

599

37 598

37 598

237

36 665

665

598

663

596

665

600

36 305

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED 619

ReviewAuthor Number Title Vol. Page

7.95 Numerical Tables of Integrals and TransformsGRADSHTEYN, I. S. & RYZHIK, I. M. 5 Table of Integrals, Series and Products 36 310

7.100 Numerical Tables of Infinite SeriesGRADSHTEYN, I. S. & RYZHIK, I. M. 5 Table of Integrals, Series and Products 36 310

8.00 Probability and StatisticsKENNEDY, W. J. & GENTLE, J. E. 14 Statistical Computing 37 240

9.00 Number TheoryRIBENBOIM, PAULO 2 13 Lectures on Fermat's Last Theorem 36 307

10.00 Algebra and Combinatorial Theory10.35 Graph Theory

CARRÉ, BERNARD 3 Graphs and Networks 36 30712.00 Computers and Other Aids to Computation

12.05 Digital Computers12.05.1 Coding, Programming and Software

SHAMPINE, L. F. & GORDON, 12 Computer Solution of Ordinary Differ-M. K. entlal Equations 37 237

12.20 Mechanical Aides to Computation-Slide Rules, Desk Calculators, OthersHENRICI, PETER 15 Computational Analysis with the

HP-25 Pocket Calculator 37 595

INDEX OF TABLE ERRATANo. Author Title Vol. Page576 BYRD, P. F. & FRIEDMAN, M. D. Handbook of Elliptic Integrals for

Engineers and Physicists 36 317580 BYRD, P. F. & FRIEDMAN, M. D. Handbood of Elliptic Integrals for

Engineers and Physicists 36 319583 DWIGHT, H. B. Tables of Integrals and Other Mathe-

matical Data 37 603574 ERDÉLYI, A., MAGNUS, W., Higher Transcendental Functions 36 315

OBERHETTINGER, F. &TRICOMI, F. G.

578 FETTIS, HENRY E. & CASLIN, A Table of the Complete EllipticJAMES C. Integral of the First Kind for

Complex Values of the Modulus,Part I 36 318

581 GOLDSTINE, H. H. A History of Numerical Analysisfrom the 16th through the 19thCentury 36 319

577 GRADSHTEYN, I. S. & RYZHIK, I. M. Table of Integrals, Series, and Prod-ucts 36 317

582 GRADSHTEYN, I. S. & RYZHIK, I. M. Table of Integrals, Series, and Prod-ucts 36 320

575 MAGNUS, W., OBERHETTINGER, F. Formulas and Theorems for the& SONI, R. P. Special Functions of Mathematical

Physics 36 315579 WHITTAKER, E. T. & WATSON, G. N. A Course of Modern Analysis 36 319

INDEX OF CORRIGENDAAuthor Title Vol. Page

FETTIS, HENRY E. On Some Trigonometric Integrals 37 605

INDEX OF MICROFICHE SUPPLEMENTSAuthor Title MOC Issue

RICE, JOHN R., HOUSTIS, ELIAS N. & A Population of Linear, Second Order,DYKSEN, WAYNE R. Elliptic Partial Differential Equations

on Rectangular Domains AprilABCDEFGHIJ-CM-8987654321