VOLUMES XXXVI AND XXXVII

INDEX OF PAPERS BY AUTHORS

Author

ADLEMAN, LEONARD &LEIGHTON, FRANK

THOMSON

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. Page

An 0(n1/10-89) Primallty Testing Algorithm. 36 261

Superconvergence of a Finite Element Approxi-

mation to the Solution of a Sobolev Equation

In a Single Space Variable. 36 53

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

Function Evaluations. 37 159

Optimum Accelerated Overrelaxation Method in a

Special Case. 36 183

Finite 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 the

Navler-Stokes Equations. 37 243

See: BARDOS, CLAUDE, BERCOVIER, MICHEL

& PIRONNEAU, OLIVIER. 36 119An Analysis of a Uniformly Accurate Difference 37

Method for a Singular Perturbation Problem. 37 79

Uniqueness of the Optimal Modes of Quadrature

Formulae. 36 525

Collocation Approximation to Eigenvalues of an

Ordinary Differential Equation: Numerical

Illustrations. 36 1

Local Piecewlse Polynomial Projection Methods

for an O. D. E. Which Give High-Order Conver-

gence at Knots. 36 21

Some Large Primes and Amicable Numbers. 36 303

The Rate of Convergence of Chebyshev Polyno-

mials for Functions Which Have Asymptotic

Power Series About One Endpoint. 37 189

The Lagrange Multiplier Method for Dirichlet's

Problem. 37 1

Factorization of the Eighth Fermât Number. 36 627

A New Algorithm for Factoring Polynomials Over

Finite Fields. 36 587

607

608 INDEX OF PAPERS BY AUTHORS

Author

CHOU, 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 & RAPPAZ

JACQUESDIXON, 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, DAVID

GOTTLIEB, DAVID,

ORSZAG, STEVEN A. &TURKEL, ELI

GUNJI, HIROSHI & ARNON,DENNIS

HADJIDIMOS, A.

HAGER, W.HAGIS, PETER JR.

77f/e Vol. Page

See: HSU, L. C. & CHOU, Y. S. 37 503

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

See: BAILLIE, ROBERT, CORMACK, G. &

WILLIAMS, H. C. 37 229

The Number of Polyhedral (3-Connected Planar)

Graphs. 37 523

Automatic Selection of Sequence Transformations 37 197

Discontinuous Galerkln Methods for Ordinary Dif-

ferential Equations. 36 455

Approximation of the Spectrum of Closed Opera-

tors: The Determination of Normal Modes

of a Rotating Basin. 36 137

Asymptotically Fast Factorization of Integers. 36 255

A Method of Calculation of Lifting Flows Around

Two-Dlmenslonal Corner-Shaped Bodies. 36 405

See: ARNOLD, DOUGLAS N., DOUGLAS, JIMJR. & THOMÉE, VIDAR. 36 53

Lowest Order Squared Rectangles and Squares

With the Largest Element Not on the

Boundary. 37 223

Rate of Convergence of Discretization In

Chebyshev Approximation. 37 135

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

DYKSEN, WAYNE R. 36 475

One-Sided Difference Approximations for Non-

linear Conservation Laws. 36 321

See: 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 Fourier

Transform Algorithm. 36 189

Addendum and Corrigendum to "High-Precision

Values of the Gamma Function and of Some

Related Coefficients". 37 233

Conjectures on the Taylor Series Expansion Coef-

ficients of the Jacoblan Elliptic Function

sn(x, k). 37 475

Minimal Solutions of Three-Term Recurrence Re-

lations and Orthogonal Polynomials. 36 547

A New Method for Chebyshev Approximation of

Complex-Valued Functions. 36 233

A Class of Bessel Summations. 37 499

Scheme-Independent Stability Criteria for Differ-

ence Approximations of Hyperbolic Initial-

Boundary Value Problems. II. 36 603

The Finite Element Method With Nonuniform

Mesh Sizes for Unbounded Domains. 36 387

The Stability of Pseudospectral-Chebyshev Methods 36 107

Stability 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. 36 183

See: DELFOUR, M., HAGER, W. & TROCHU, F. 36 455

Unitary Hyperperfect Numbers. 36 299

Author

HARTEN, 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. BRUCE

KISHORE, 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

THOMSON

LE 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 Conservation

Laws: I. Nonstlff Strongly Dynamic Problems 36

Multiple Grid Methods for the Solution of

Fredholm Integral Equations of the Second Kind 36

The Jacobl-Perron Algorithm In Integer Form. 36

Hydrocode Subcycllng Stability. 37

See: RICE, JOHN R., HOUSTIS, ELIAS N. &DYKSEN, WAYNE R. 36

An Asymptotic Formula for a Type of Singular

Oscillatory Integrals. 37

Numerical 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. 37

See: HENDY, M. D. & JEANS, N. S. 36Cubic Splines and Approximate Solution of

Singular Integral Equations. 37

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

Perfect Numbers. 36

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

Methods. 37

Computation of Pólya Polynomials of Primitive

Permutation Groups. 36

Estimates 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. 36

See: ADLEMAN, LEONARD & LEIGHTON,FRANK THOMSON. 36

Stability of Numerical Schemes Solving Quasi-

Linear Wave Equations. 36

Numerical Stability for Some Equations of Gas

Dynamics. 37

Interpolation 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. 36

A Rapidly Convergent Series for Computing

<p(z) and Its Derivatives. 36

Partial Fraction Evaluation by an Escalation

Technique. 36

See: BEALE, J. THOMAS & MAJDA, ANDREW... 37A Block-by-Block Method for Volterra Integro-

Differentlal Equations With Weakly-Singular

Kernel. 37

609

Page

353

215565

69

475

503

273

273

171385

565

417159261

583249

141

267

87581

223289

261

93

307

403169533

137509

485

247

241243

95

610 INDEX OF PAPERS BY AUTHORS

Author

MARCHESIN, 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, GIUSEPPE

PIRONNEAU, OLIVIER

PITKÄRANTA, JUHANI

POLLARD, JOHN M.

POMERANCE, CARL

QUEEN, 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 Iterative

Method. 37

A Class of Stelner Triple Systems of Order 21

and Associated Klrkman Systems. 37

Eigenvalue Approximation by Mixed and Hybrid

Methods. 36

Some Convergence Estimates for Semidiscrete

Type Schemes for Time-Dependent Non-

selfadjolnt Parabolic Equations. 37

On Algorithmic Equivalence in Linear Fractional

Programming. 37

Algorithms for Computing the /7-Range of the

Postage Stamp Problem. 36

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

ence Schemes for Elliptic Boundary Value

Problems. 36See: GOTTLIEB, DAVID, ORSZAG, STEVEN A.

& TURKEL, ELI. 37See: 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. 37

See: MATHON, RUDOLF A., PHELPS, KEVIN

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

& PIRONNEAU, OLIVIER. 36

The Finite Element Method With Lagrange Multi-

pliers for Domains With Corners. 37

See: BRENT, RICHARD P. & POLLARD,

JOHN M. 36On the Distribution of Pseudoprimes. 37

Modular Functions Arising From Some Finite

Groups. 37

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

See: DESCLOUX, JEAN, LUSKIN, MITCHELL &RAPPAZ, JACQUES. 36

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

A Population of Linear, Second Order, Elliptic

Partial Differential Equations on Rectangular

Domains. Part 1. 36

Numerical Identification of a Spatially Varying

Diffusion Coefficient. 36

Hyperfect Numbers With Three Different Prime

Factors. 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

427

321

273

127

209399

119

13

627587

547

427

137

427

475

375

297233

209

INDEX OF PAPERS BY AUTHORS 611

Author

SAAD, 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, BLAIR

SWARTZ, BLAIR

TADMOR, 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, SOL

WILLIAMS, H. C.

WILLIAMS, H. C.

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

WILLIAMS, JACK

Title Vol. Page

Krylov Subspace Methods for Solving Large Un-

symmetric Linear Systems. 37 105

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

Equations. 36 207

Type-Insensitive ODE Codes Based on Implicit

A -Stable Formulas. 36 499

Gunderson'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 of

the Second Kind Over Infinite Intervals. 36 511

On the Measure of Totally Real Algebraic Inte-

gers. II. 37 205See: 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. 37 321

Subgroups of Finite Index In a Free Product

With Amalgamated Subgroup. 36 653

Perturbation Theory for Evaluation Algorithms

of Arithmetic Expressions. 37 435

See: 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 36 193

See: ARNOLD, DOUGLAS N., DOUGLAS, JIMJR. & THOMÉE, VIDAR. 36 53

See: 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 Frobenius

Norm. 37 425

See: DELFOUR, M., HAGER, W. & TROCHU, F. 36 455

See: 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 31

On a Dimensional Reduction Method II. Some

Approximation-Theoretic Results. 37 47

On a Dimensional Reduction Method. III. A

Posteriori Error Estimation and an Adaptive

Approach. 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 593Some Results Concerning Voronoi's Continued

Fraction Over 2(Vß ). 36 631See: SHANKS, DANIEL & WILLIAMS, H. C. 36 291See: BAILLIE, ROBERT, CORMACK, G. &

WILLIAMS, H. C. 37 229

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

612 INDEX OF PAPERS BY AUTHORS

Author

WINKER, 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. Page

Semigroups, Antlautomorphisms, and Involutions:

A Computer Solution to an Open Problem, I 37 533

A Stable Finite Element Method for Initial-

Boundary Value Problems for First-Order

Hyperbolic Systems. 36 65

On a Method of Asymptotic Evaluation of

Multiple Integrals. 37 509

See: WINKER, S. K., WOS, L. & LUSK, E. L.... 37 533

A Note on the Taylor Series Expansion Coeffi-

cients of the Jacoblan Elliptic Function

sn(x, k). 37 495

Calculation of the Taylor Series Expansion Coef-

ficients of the Jacobian Elliptic Function

sn(x, k). 36 555

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

SUBJECT CLASSIFICATION SYSTEM

FOR 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 Theory

2.05.1 Least Squares, Curve Fitting, Harmonic Analysis

2.05.2 Chebyshev (Best) Approximation

2.05.3 Interpolation, Extrapolation

2.05.4 Inverse Interpolation

2.05.5 Rational Approximation

2.05.6 Splines

2.10 Numerical Integration

2.10.1 One-Dimensional

2.10.2 Multi-Dimensional

2.10.3 Monte Carlo

2.15 Numerical Differentiation

2.20 Roots of Equations

2.25 Evaluation of Series

2.30 Continued Fractions

2.35 Iteration Methods, Acceleration Techniques

2.40 Differences, Divided Differences

2.45 Algorithms, General Theory

2.50 Inequalities

2.55 Stability of Computation, Significance Arithmetic

2.60 Complexity of Computation

3.00 Linear Algebra

3.05 Matrices

3.10 Linear Equations

3.10.1 Error A nalysis

3.15 Eigenvalues and Eigenvectors

3.15.1 Error A nal y si s

3.20 Matrix Inversion and Pseudo-Inverses

3.20.1 Error Analysis

3.25 Linear and Nonlinear Programming, Theory of Games

3.25.1 Error Analysis

3.30 Determinants

3.35 Sparse Matrices

4.00 Ordinary Differential Equations

4.05 Initial Value Problems

4.05.1 Analytic Methods

4.05.1.1 Error Analysis

4.05.2 One-Step Methods

4.05.2.1 Error Analysis

4.05.3 Muitistep Methods

4.05.3.1 Error Analysis

4.10 Linear Boundary Value and Eigenvalue Problems

4.10.1 Analytic Methods

4.10.1.1 Error Analysis

4.10.2 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) Methods

4.10.3.1 Error Analysis

4.10.4 Finite Element Methods

4.10.4.1 Error Analysis

4.15 Nonlinear Boundary Value and Eigenvalue Problems

4.15.1 Analytic Methods

4.15.1.1 Error A nal y sis

4.15.2 Initial Value (Trial and Error or Shooting) Methods

4.15.2.1 Error Analysis

4.15.3 Finite Difference (Nonshooting) Methods

4.15.3.1 Error A nal y sis

5.00 Partial Differential Equations

5.05 Initial Value Problems

5.05.1 Analytic Methods

5.05.1.1 Error Analysis

5.05.2 Explicit Difference Methods

5.05.2.1 Error Analysis

5.05.3 Implicit Difference Methods, Iterative Schemes

5.05.3.1 Error Analysis

5.05.4 Finite Element and Other Approximation Methods

5.05.4.1 Error Analysis

5.10 Boundary Value Problems

5.10.1 Analytic Methods

5.10.1.1 Error Analysis

5.10.2 Finite Difference Methods, Iterative Schemes

5.10.2.1 Error Analysis

5.10.3 Finite Element and Other Approximation Methods

5.10.3.1 Error Analysis

5.15 Eigenvalue Problems

5.15.1 Analytic Methods

5.15.1.1 Error A nalysis

5.15.2 Finite Difference Methods, Iterative Schemes

5.15.2.1 Error Analysis

5.15.3 Finite Element and Other Approximation Methods

5.15.3.1 Error A nalysis

5.20 Mixed Initial and Boundary Value Problems

5.20.1 Analytic Methods

5.20.1.1 Error Analysis

5.20.2 Explicit Difference Methods

5.20.2.1 Error Analysis

5.20.3 Implicit Difference Methods, Iterative Schemes

5.20.3.1 Error Analysis

5.20.4 Finite Element and Other Approximation Methods

5.20.4.1 Error Analysis

6.00 Other Functional Equations

6.05 Difference Equations

6.10 Difference-Differential Equations

6.15 Integral Equations

6.20 Integro-Differential Equations

6.25 Convolution Equations

6.30 Variational Equations

6.35 Abstract Operator Equations

6.40 Stochastic Differential Equations

7.00 Special Functions

7.05 Mathematical Constants, Special Polynomials (Nonorthogonal) and Numbers:

Bernoulli, Euler, Stirling, Binomial Coefficients, Factorials

7.10 Elementary Functions, Powers and Roots

7.15 Gamma Functions, Psi Functions, Zeta Functions and Related Functions

7.20 Incomplete Gamma Functions

SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS 615

7.20.1 Exponential Integral, Cosine and Sine Integrals and Related Functions

7.20.2 Error Functions, Fresnel Integrals and Related Functions

7.25 Confluent Hypergeometric Functions

7.25.1 Parabolic Cylinder Functions

7.25.2 Coulomb Wave Functions

7.30 Bessel Functions

7.35 Lommel Functions, Struve Functions, Anger-Weber Functions and Associated

Bessel Functions

7.40 Legendre Functions

7.45 Gaussian Hypergeometric Functions

7.50 Orthogonal Polynomials and Functions

7.55 Expansions in Series of Orthogonal Polynomials, Bessel Functions, Other Functions

7.60 Elliptical Integrals and Functions, Weierstrass Elliptic Integrals, Related Functions

7.65 Mathieu Functions

7.70 Spheroidal Wave Functions, Other Wave Functions

7.75 Generalized Hypergeometric Functions of a Single Variable

7.80 Generalized Hypergeometric Functions of More Than One Variable

7.85 Basic Hypergeometric Functions

7.90 Integral Transforms

7.95 Numerical Tables of Integrals and Transforms

7.100 Numerical Tables of Infinite Series

7.105 Handbooks of Mathematical Tables and Formulae

8.00 Probability and Statistics

8.05 Random Numbers

8.05.1 Tables

8.10 Monte Carlo, Markov Chains

8.15 Multivariate Analysis

8.20 Regression Analysis

8.25 Analysis of Variance

8.30 Time Series Analysis

8.35 Nonparametric Analysis

8.40 Sequential Analysis

8.45 Classical Statistics

8.50 Handbooks of Tables and Formulae

9.00 Number Theory

9.05 Mersenne, Fermât, Perfect and Related Numbers

9.10 Number-Theoretic Functions and Tables

9.1 5 Binomial Congruences, Primitive Roots, Residues, etc.

9.20 Primes and Their Distribution

9.25 Factorization

9.30 Forms and Diophantine Equations

9.35 Continued Fractions and Diophantine Approximation

9.40 Normal Numbers and Distribution of Digits

9.45 Modular Computation

10.00 Algebra and Combinatorial Theory

10.05 Groups, Rings, Fields, Algebras

10.10 Finite Fields

10.15 Irreducible Polynomials

10.20 Arrays, Latin Squares

10.25 Projective Planes, Block Designs, Difference Sets

10.30 Permutations, Combinatorial Identities

10.35 Graph Theory

11.00 Geometry

11.05 Coordinate Conversion Tables

11.10 Polyhedra and Polytopes

11.15 Graph Theory

12.00 Computers and Other Aids to Computation

12.05 Digital Computers

616 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS

1 2.05.1 Coding, Programming and Software

1 2.05.2 Design and Hardware

12.05.3 Computer Aided Instruction

12.10 Analog Computers12.10.1 Design and Hardware

12.15 Digital-Analog (Hybrid) Computers

1 2.1 5.1 Coding, Programming and Software

12.15.2 Design and Hardware

12.20 Mechanical Aids to Computation-Slide Rules, Desk Calculators, Others

12.25 Nomographs

13.00 Application

13.05 Physical and Chemical Sciences

1 3.05.1 Weights and Measures Tables

13.10 Astronomy, Astrophysics

13.10.1 Navigation Tables

13.15 Engineering Sciences

13.15.1 Engineering Tables

13.20 Earth Sciences, Atmospheric Sciences, Fluid Dynamics

13.20.1 Triangulation and Geodetic Tables

13.25 Biology and the Behavioral Sciences

13.30 Economics and the Social Sciences

1 3.35 Information Theory, Automata, Logic Control Theory, Dynamic Programming,

Cybernetics

13.40 Management Problems, Data Analysis and Processing

13.45 Actuarial Science

13.45.1 Actuarial and Financial Tables

13.50 Humanities, Linguistics

13.55 Logic

14.00 Miscellaneous

14.05 Mathematical Research, Mathematical Education

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Author

ALBRECHT, J., COLLATZ, L. &

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

WERNER, B., Editors

BREZINSKI, CLAUDE

BULIRSCH, R.

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

COLLATZ, L.

DODES, IRVING ALLEN

GENTLE, J. E.

GLADWELL, I. & WAIT, R., Editors

GLASHOFF, K.

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

GORDON, M. K.

Review

Number

11

Classification

4.15

2.00

1320

31

68

414

911

16

12

GRADSHTEYN, I. S. & RYZHIK, I. M. 5

HENRICI, PETER 15

JAIN, M. K. 17KENNEDY, W. J. & GENTLE, J. E. 14

KIRCHGASSNER, K. 8

PARLETT, BERESFORD N. 19

PETERS, F. J. 18RIBENBOIM, PAULO 2

te RIELE, H. J. J., Edltor 10

RODIN, E. Y. 16

RYZHIK, I. M. 5

SCHEMPP, WALTER & ZELLER, 7

KARL, Editors

SCHRÖDER, JOHANN 21SHAMPINE, L. F. & GORDON, M. K. 12

STOER, J. & BULIRSCH, R. 20

WAIT, 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 36

5.10.3 37

See: SHAMPINE, L. F. &

GORDON, M. K. 37

7.95, 7.100 3612.20 37

4.00, 5.00 378.00, 2.00, 3.00 37See: ALBRECHT, J., COLLATZ,

L. & KIRCHGASSNER, K.,Editors 36

3.15 373.35 379.00 36

6.15 36See: GLOWINSKI, R., RODIN,

E. Y. & ZIENKIEWICZ, O. C,

Editors 37

See: GRADSHTEYN, I. S. &

RYZHIK, I. M. 36

2.05 36

6.35 37

4.05.3, 12.05.1 372.00 37See: GLADWELL, I. &

WAIT, R., Editors 36

See: 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

Page

665

665

238

600307305663

665308

240665

665

596

237310595598240

665599598307665

596

310664

600237600

665

665

664

596

617

618 INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED

Review

Author Number

2.00 Selected Topics In Numerical Analysis

ANSORGE, R., GLASHOFF, K. & 11

WERNER, B., Editors

DODES, IRVING ALLEN 4

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

2.05 Approximation Theory

SCHEMPP, WALTER & ZELLER, KARL, 7

Editors

2.05.5 Rational Approximation

BREZINSKI, CLAUDE 13

77f/e Vol. Page

Numerical Mathematics 36 665

Numerical Analysis for Computer

Science 36 308

Statistical Computing 37 240

Introduction to Numerical Analysis 37 600

Multivariate Approximation Theory 36 664

2.30 Continued Fractions

CHIHARA, T. S. 1

3.00 Linear Algebra

KENNEDY, W. J. & GENTLE, J. E. 143.15 Eigenvalues and Eigenvectors

PARLETT, BERESFORD N. 19

3.35 Sparse Matrices

PETERS, F. J. 18

4:00 Ordinary Differential Equations

JAIN, M. K. 17

4.05 Initial Value Problems

4.05.3 Multistep Methods

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

Pade"-Type Approximation and Gen-

eral Orthogonal Polynomials

An Introduction to Orthogonal

Polynomials

Statistical Computing

The Symmetric Eigenvalue Problem

Sparse Matrices and Substructures with

a Novel Implementation of Finite

Element Algorithms

Numerical Solution of Differential

Equations

37 238

36

37

37

Computer Solution of Ordinary Differ-

ential Equations

4.15 Nonlinear Boundary Value and Eigenvalue Problems

37

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

5.00 Partial Differential Equations

GLADWELL, I. & WAIT, R., Editors

JAIN, M. K.

8 Constructive Methods for Nonlinear

Boundary Value Problems and

Nonlinear Oscillations

9 A Survey of Numerical Methods for

Partial Differential Equations

17 Numerical Solution of Differential

Equations

5.10 Boundary Value Problems

5.10.3 Finite Element and Other Approximation Methods

CIARLET, PHILIPPE G. 6

GLOWINSKI, R., RODIN, E. Y. & 16ZIENKIEWICZ, O. C, Editors

6.00 Other Functional Equations

6.15 Integral Equations

te RIELE, H. J. J., Editor 10

6.35 Abstract Operator Equations

SCHRÖDER, JOHANN 21

The Finite Element Method for Ellip-

tic Problems

Energy Methods in Finite Element

Analysis

Colloquium Numerical Treatment of

Integral Equations

Operator Inequalities

36

37

36

37

36

37

7.00 Special Functions

7.50 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

Review

Author Number Title Vol. Page

7.95 Numerical Tables of Integrals and Transforms

GRADSHTEYN, I. S. & RYZHIK, I. M. 5 Table of Integrals, Series and Products 36 310

7.100 Numerical Tables of Infinite Series

GRADSHTEYN, I. S. & RYZHIK, I. M. 5 Table of Integrals, Series and Products 36 3108.00 Probability and Statistics

KENNEDY, W. J. & GENTLE, J. E. 14 Statistical Computing 37 2409.00 Number Theory

RIBENBOIM, PAULO 2 13 Lectures on Fermat's Last Theorem 36 30710.00 Algebra and Combinatorial Theory

10.35 Graph Theory

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

12.05 Digital Computers

12.05.1 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, Others

HENRICI, PETER 15 Computational Analysis with the

HP-25 Pocket Calculator 37 595

INDEX OF TABLE ERRATA

No. Author Title Vol. Page

576 BYRD, P. F. & FRIEDMAN, M. D. Handbook of Elliptic Integrals for

Engineers and Physicists 36 317

580 BYRD, P. F. & FRIEDMAN, M. D. Handbood of Elliptic Integrals for

Engineers and Physicists 36 319

583 DWIGHT, H. B. Tables of Integrals and Other Mathe-

matical Data 37 603

574 ERDÉLYI, A., MAGNUS, W., Higher Transcendental Functions 36 315OBERHETTINGER, 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 318581 GOLDSTINE, H. H. A History of Numerical Analysis

from the 16th through the 19th

Century 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 320575 MAGNUS, W., OBERHETTINGER, F. Formulas and Theorems for the

& SONI, R. P. Special Functions of Mathematical

Physics 36 315

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

INDEX OF CORRIGENDA

Author Title Vol. Page

FETTIS, HENRY E. On Some Trigonometric Integrals 37 605

INDEX OF MICROFICHE SUPPLEMENTS

Author 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 April

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