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VOLUME XXXIII INDEX OF PAPERS BY AUTHORS Author ABARBANEL, SAUL & GOTTLIEB, DAVID ADAMS,WILLIAM W. ALFELD,PETER ALFELD,PETER ALFELD,PETER ANDERSON, DALE ARMSTRONG,RONALD D. & GODFREY, JAMES P. ASCHER, U., CHRISTIANSEN, J. & RUSSELL,R. D. BABB,STANLEY E., JR. & CAFKY, JAMESW. BABUSKA.I.& RHEINBOLDT, W. C. BAILLIE, ROBERT BALAZS, N. L., PAULI, H. C. & DABBOUSI, O. B. BALGOVIND,RAMESH BEYN,WOLF-JÜRGEN BLUE, JAMES L. BRENT, RICHARD P. BROWN, R. LEONARD BUHR, P. A. BUI, T. D. CAFKY,JAMES W. CHAKRAVARTHY,SUKUMAR & ANDERSON, DALE CHARALAMBIDES, CH. A. CHIN, R.C.Y., HEDSTROM, G. W. & KARLSSON, K. E. CHRISTIANSEN,J. CIOFFARI, VINCENTG. COHN, HARVEY COHN, HARVEY CONDE, S. & KALLA, S. L. CONN, ROBERT W. COOPER, G. J. & SAYFY, A. Title Stability of Two-Dimensional Initial Boundary Value Problems Using Leap-Frog Type Schmes . On a Relationship Between the Convergents of the Nearest Integer and Regular Continued Fractions. Inverse Linear Multistep Methods for the Numerical Solu- tion of Initial Value Problems of Ordinary Differential Equations. An Improved Version of the Reduction to Scalar CDS Method for the Numerical Solution of Separably Stiff Initial Value Problems . A Special Class of Explicit Linear Multistep Methods as Basic Methods for the Correction in the Dominant Space Technique . See: CHAKRAVARTHY, SUKUMAR & ANDERSON, DALE. Two Linear Programming Algorithms for the Linear Discrete Lx Norm Problem. A Collocation Solver for Mixed Order Systems of Boundary Value Problems. Operational Evaluation of Certain Infinite Bessel Function Integrals. Analysis of Optimal Finite-Element Meshes in R'. New Primes of the Form k • 2" + 1 . Tables of Weyl Fractional Integrals for the Airy Function... See: GHIL, MICHAEL & BALGOVIND, RAMESH. The Exact Order of Convergence for Finite Difference Approximations to Ordinary Boundary Value Problems... A Legendre Polynomial Integral . On the Zeros of the Riemann Zeta Function ¡n the Critical Strip. Stability of Sequences Generated by Nonlinear Differential Systems. See: WILLIAMS,H. C. & BUHR, P. A. A Note on the Rosenbrock Procedure. See: BABB, STANLEY E., JR. & CAFKY, JAMESW. Numerical Conformai Mapping. Bernoulli Related Polynomials and Numbers. A Simplified Galerkin Method for Hyperbolic Equations See: ASCHER, U., CHRISTIANSEN, J. & RUSSELL, R. D. The Euclidean Condition in Pure Cubic and Complex Quartic Fields. Dyadotropic Polynomials. II . Cyclic-Sixteen Class Fields for Q{-p) ' by Modular Arithmetic. The K-Zeros of J_v(x). See: DETRICH, JOHN & CONN, ROBERT W. Semiexplicit ,4-Stable Runge-Kutta Methods .... Page 1145 1321 111 535 1195 953 289 659 .1033 435 .1333 . 353 585 1213 739 1361 637 369 971 1033 953 794 647 659 389 359 1307 423 788 541 1378
12

INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

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Page 1: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

VOLUME XXXIII

INDEX OF PAPERS BY AUTHORS

Author

ABARBANEL, SAUL &GOTTLIEB, DAVID

ADAMS, WILLIAM W.

ALFELD,PETER

ALFELD,PETER

ALFELD,PETER

ANDERSON, DALE

ARMSTRONG,RONALD D.

& GODFREY, JAMES P.ASCHER, U., CHRISTIANSEN,

J. & RUSSELL, R. D.BABB, STANLEY E., JR. &

CAFKY, JAMES W.BABUSKA.I. & RHEINBOLDT,

W. C.BAILLIE, ROBERT

BALAZS, N. L., PAULI, H. C.

& DABBOUSI, O. B.BALGOVIND, RAMESHBEYN, WOLF-JÜRGEN

BLUE, JAMES L.BRENT, RICHARD P.

BROWN, R. LEONARD

BUHR, P. A.

BUI, T. D.

CAFKY, JAMES W.CHAKRAVARTHY,SUKUMAR

& ANDERSON, DALE

CHARALAMBIDES, CH. A.CHIN, R.C.Y., HEDSTROM,

G. W. & KARLSSON, K. E.CHRISTIANSEN, J.CIOFFARI, VINCENT G.

COHN, HARVEYCOHN, HARVEY

CONDE, S. & KALLA, S. L.CONN, ROBERT W.

COOPER, G. J. & SAYFY, A.

Title

Stability of Two-Dimensional Initial Boundary Value

Problems Using Leap-Frog Type Schmes .

On a Relationship Between the Convergents of the

Nearest Integer and Regular Continued Fractions.

Inverse Linear Multistep Methods for the Numerical Solu-

tion of Initial Value Problems of Ordinary Differential

Equations.

An Improved Version of the Reduction to Scalar CDS

Method for the Numerical Solution of Separably Stiff

Initial Value Problems .

A Special Class of Explicit Linear Multistep Methods as

Basic Methods for the Correction in the Dominant

Space Technique .

See: CHAKRAVARTHY, SUKUMAR & ANDERSON,DALE.

Two Linear Programming Algorithms for the Linear

Discrete Lx Norm Problem.

A Collocation Solver for Mixed Order Systems of

Boundary Value Problems.

Operational Evaluation of Certain Infinite Bessel Function

Integrals.

Analysis of Optimal Finite-Element Meshes in R'.

New Primes of the Form k • 2" + 1 .

Tables of Weyl Fractional Integrals for the Airy Function...

See: GHIL, MICHAEL & BALGOVIND, RAMESH.

The Exact Order of Convergence for Finite Difference

Approximations to Ordinary Boundary Value Problems...

A Legendre Polynomial Integral .

On the Zeros of the Riemann Zeta Function ¡n the

Critical Strip.

Stability of Sequences Generated by Nonlinear Differential

Systems.

See: WILLIAMS, H. C. & BUHR, P. A.

A Note on the Rosenbrock Procedure.

See: BABB, STANLEY E., JR. & CAFKY, JAMES W.Numerical Conformai Mapping.

Bernoulli Related Polynomials and Numbers.

A Simplified Galerkin Method for Hyperbolic Equations

See: ASCHER, U., CHRISTIANSEN, J. & RUSSELL, R. D.

The Euclidean Condition in Pure Cubic and Complex

Quartic Fields.

Dyadotropic Polynomials. II .

Cyclic-Sixteen Class Fields for Q{-p) ' by Modular

Arithmetic.

The K-Zeros of J_v(x).

See: DETRICH, JOHN & CONN, ROBERT W.

Semiexplicit ,4-Stable Runge-Kutta Methods ....

Page

1145

1321

111

535

1195

953

289

659

.1033

435

.1333

. 353

585

1213739

1361

637369

9711033953

794647

659

389359

1307

423788

541

1378

Page 2: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

INDEX OF PAPERS BY AUTHORS 1379

Author Title Page

CRANDALL, R. E. & A Search for Large Twin Prime Pairs. 383

PENK, M. A.

CULLUM, JANE The Effective Choice of the Smoothing Norm in

Regularization. 149

DABBOUSI, O. B. See: BALAZS, N. L., PAULI, H. C. & DABBOUSI, O. B.... 353

DEMKO, STEPHEN On Bounding IM-1!!^ for Banded A . 1283DETRICH, JOHN & CONN, Finite Sum Evaluation of the Gauss Hypergeometric Func-

ROBERT W. tion in an Important Special Case. 788

DIAZ, JULIO CESAR A Collocation-Galerkin Method for Poisson's Equation on

Rectangular Regions. 77

DIAZ Y DIAZ, F., SHANKS, Quadratic Fields With 3-Rank Equal to 4. 836DANIEL & WILLIAMS.H.C.

DONALDSON, JOHN L. Minkowski Reduction of Integral Matrices. 201

DE DONCKER, ELISE New Euler-Maclaurin Expansions and Their Application

to Quadrature Over the s-Dimensional Simplex.1003

DOUGALIS, VASSILIOS A. Multistep-Galerkin Methods for Hyperbolic Equations. 563

DUMONT, DOMINIQUE A Combinatorial Interpretation for the Schett Recurrence

on the Jacobian Elliptic Functions.1293

EHRLICH, LOUIS W. A Marching Technique for Nonseparable Equations. 881

ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value

PAGET, D. F. Integrals. 301

EVANS, RONALD J. & HILL, The Cyclotomic Numbers of Order Sixteen . 827

JAY RODERICKEWING, RICHARD E. & Numerical Approximation of a Cauchy Problem for a

FALK, RICHARD S. Parabolic Partial Differential Equation.1125

FALK, RICHARD S. See: EWING, RICHARD E. & FALK, RICHARD S.1125FETTIS, HENRY E. An Asymptotic Expansion for the Upper Percentage

Points of thex2-Distribution.1 059

FRAME, J. S. The Hankel Power Sum Matrix Inverse and the Bernoulli

Continued Fraction . 815

GABUTTI, BRUNO On High Precision Methods for Computing Integrals

Involving Bessel Functions.1049

GAUTSCHI, WALTER The Condition of Polynomials in Power Form. 343

GAUTSCHI, WALTER On the Preceding Paper "A Legendre Polynomial

Integral" by James L. Blue. 742

GERVER, JOSEPH L. & Sets of Integers With No Long Arithmetic Progressions

RAMSEY, L. THOMAS Generated by the Greedy Algorithm .1353

GHADERPANAH, S. S. See: LEUNG, K. V. & GHADERPANAH, S. S.1299

GHIL, MICHAEL & A Fast Cauchy-Riemann Solver. 585BALGOVIND.RAMESH

GLADWIN, CHARLES J. Quadrature Rule Methods for Volterra Integral Equations

of the First Kind. 705

GLASSER, M. L. A Note on the Integral /0°°f2a-1 (1 +f2)1~0:_'3-

Jyby/T+TZjdt. 792GODFREY, JAMES P. See: ARMSTRONG, RONALD D. & GODFREY,

JAMES P. 289GOTTLIEB, DAVID See: ABARBANEL, SAUL & GOTTLIEB, DAVID.1145

GROSSWALD, EMIL & Arithmetic Progressions Consisting Only of Primes .1343

HAGIS, PETER, JR.GUNZBURGER, MAX D. & Energy Conserving Norms for the Solution of Hyperbolic

PLEMMONS, ROBERT J. Systems of Partial Differential Equations. 1

GUPTA, G. K. A Polynomial Representation of Hybrid Methods for

Solving Ordinary Differential Equations.1251

GUPTA, G. K. & A New Step-Size Changing Technique for Multistep

WALLACE, C. S. o Methods. 125GUSTAFSON, SVEN-AKE On Stable Calculation of Linear Functional.694HAGIS, PETER, JR. See: GROSSWALD, EMIL & HAGIS, PETER, JR. 1343HEDSTROM, G. W. See: CHIN, R.C.Y., HEDSTROM, G.W. &

KARLSSON, K. E. 647

Page 3: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

1380 INDEX OF PAPERS BY AUTHORS

Author Title Page

HILL, JAY RODERICK See: EVANS, RONALD J. & HILL, JAY RODERICK. 827

HOFF, DAVID A Finite Difference Scheme for a System of Two

Conservation Laws With Artificial Viscosity . 1171

IKEDA, TSUTOMU & On the SHASTA FCT Algorithm for the Equation

NAKAGAWA, TOMOYASU l£ + A (v(p)p) = 0. 1157Ot dx

KALLA, S. L. See: CONDE, S. & KALLA, S. L. 423

KARLSSON, K. E. See: CHIN, R.C.Y., HEDSTROM, G. W. &

KARLSSON, K. E. 647

KELLER, STUART R. On the Surface Area of the Ellipsoid . 310

KOLATA, WILLIAM G. Eigenvalue Approximation by the Finite Element Method:

The Method of Lagrange Multipliers . 63

KOPETZKY, H. G. & Two Conjectures of B. R. Santos Concerning Totitives. 841

SCHWARZ, W.

KORN, DAVID G. & Computing the Fast Fourier Transform on a Vector

LAMBIOTTE, JULES J., JR. Computer. 977KRAUSER, W. J. See: PETSCHEK, A. G., WILLIAMSON, R. E., KRAUSER,

W. J. & WHITE, P. C. 765KROGH, FRED T. Recurrence Relations for Computing with Modified

Divided Differences . 1265

KUSTERER, ROLAND & Stable Evaluation of Polynomials in Time logo. 1019REIMER, MANFRED

KYUNO, SHOJI An Inductive Algorithm to Construct Finite Lattices . 409

LAGARIAS, J. C. & On Computing Artin ¿-Functions in the Critical Strip. 1081ODLYZKO, A. M.

LAMBIN, P. & V Tables for the Gaussian Computation of Iq xae~xf(x) dx

VIGNERON, J. P. for Values of a Varying Continuously Between-1

and +1 . 805

LAMBIOTTE, JULES J., JR. See: KORN, DAVID G. & LAMBIOTTE, JULES J., JR. ... 977

LE ROUX, MARIE-NÖELLE Semidiscretization in Time for Parabolic Problems . 919

LESAINT, P. & Finite Element Collocation Methods for First Order

RAVIART, P. A. Systems. 891

LEUNG, K. V. & An Application of the Finite Element Approximation

GHADERPANAH, S. S. Method to Find the Complex Zeros of the Modified

Bessel Function Kn(z).1299

LUSKIN, MITCHELL Convergence of a Finite Element Method for the

Approximation of Normal Modes of the Oceans. 493

LYNESS, J. N. A Bench Mark Experiment for Minimization Algorithms. 249

LYNESS, J. N. The Affine Scale Invariance of Minimization Algorithms. 265

LYNESS, J. N. See: MONEGATO, G. & LYNESS, J. N. 993

McKAY, BRENDAN D. Transitive Graphs With Fewer Than Twenty Vertices. 1101

McKAY, JOHN & YOUNG, The Nonabelian Simple Groups G, IG I < 106-Minimal

KIANG-CHUEN Generating Pairs . 812

MONAHAN, JOHN F. Extensions of von Neumann's Method for Generating

Random Variables. 1065

MONEGATO, G. & On the Numerical Evaluation of a Particular Singular Two-

LYNESS, J. N. Dimensional Integral. 993

MORRIS, ROBERT The Dilogarithm Function of a Real Argument. 778

NAKAGAWA, TOMOYASU See: IKEDA, TSUTOMU & NAKAGAWA. TOMOYASU .... 1157

NICOLAI DES, R. A. On Some Theoretical and Practical Aspects of Multigrid

Methods. 933

ODLYZKO, A. M. See: LAGARIAS, J. C. & ODLYZKO, A. M.1081

O'LEARY, DIANNE P., Estimating the Largest Eigenvalue of a Positive Definite

STEWART, G. W. & Matrix.1289VANDERGRAFT, JAMES S.

O'LEARY, DIANNE P. & Capacitance Matrix Methods for the Helmholtz Equation

WIDLUND, OLOF on General Three-Dimensional Regions. 849

PAGET, D. F. See: ELLIOTT, DAVID & PAGET, D. F. 301

PAIGE, C. C. Computer Solution and Perturbation Analysis of General-

ized Linear Least Squares Problems. 171

Page 4: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

INDEX OF PAPERS BY AUTHORS 1381

Author

PARLETT, B. N. <&SCOTT, D. S.

PAULI, H. C.

PENK, M. A.PETSCHEK, A. G., WILLIAM-

SON, R. E., KRAUSER, W. J& WHITE, P.C.

PEXTON, ROBERT L. &STEIGER, ARNO D.

PHILIP, J. R.PLEMMONS, ROBERT J.

POMERANCE, CARL

PRUESS, STEVENRAMSEY, L. THOMASRAVIART, P. A.

REIMER, MANFRED

RHEINBOLDT, W. C.RUHE, AXEL

RUMP, SIEGFRIED M.

RUSSELL, R. D.

SAYFY, A.

SCHATZ, A. H. &

WAHLBIN, L. B.SCHMIDT, DARRELL &

WIGGINS, KENNETH L.

SCHWARZ, W.

SCOTT, D. S.

SCOTT, D. S.

SEAH, E.

SHANKS, DANIEL

SHANKS, DANIEL

SIDI, AVRAM

SIKORSKI, KRZYSZTOF

SKEEL, ROBERT D.

SKÖLLERMO, GUNILLA

STEIGER, ARNO D.STEIHAUG, TROND &

WOLFBRANDT, ARNE

STENGER, FRANK

STEPLEMAN, R. S. &WINARSKY, N. D.

STEWART, G. W.

STYNES, MARTIN

SWARZTRAUBER, PAUL N.

THACHER, HENRY C, JR.

THOMÉE, VIDAR

Title Page

The Lanczos Algorithm With Selective Orthogonalization. 217

See: BALAZS, N. L., PAULI, H. C. & DABBOUSI, O. B. 353

See: CRANDALL, R. E. & PENK, M. A. 383

Monte Carlo Functional Expansion Calculation of Free

Molecular Flows. 765

Degenerate Roots of Three Transcendental Equations

Involving Spherical Bessel Functions.

Note on the Kelvin Phase Functions .

See: GUNZBURGER, MAX D. & PLEMMONS,

ROBERT J.The Prime Number Graph.

Alternatives to the Exponential Spline in Tension.

See: GERVER, JOSEPH L. & RAMSEY, L. THOMAS.See: LESAINT, P. & RAVIART, P. A.

See: KUSTERER, ROLAND & REIMER, MANFRED.

See: BABUSKA, I. & RHEINBOLDT, W. C.

Implementation Aspects of Band Lanczos Algorithms for

Computation of Eigenvalues of Large Sparse Symmetric

Matrices.

Polynomial Minimum Root Separation.

See: ASCHER, U., CHRISTIANSEN, J. & RUSSELL, R.D. ..

See: COOPER, G. J. & SAYFY, A.Maximum Norm Estimates in the Finite Element Method

on Plane Polygonal Domains. Part 2, Refinements.

Minimax Approximate Solutions of Linear Boundary Value

Problems.

See: KOPETZKY, H. G. & SCHWARZ, W.

See: PARLETT, B. N. & SCOTT, D. S.How to Make the Lanczos Algorithm Converge Slowly.

See: WILLIAMS, H. C. & SEAH, E.See: DIAZ Y DIAZ, F., SHANKS, DANIEL &

WILLIAMS, H. C.

See: WILLIAMS, H. C. & SHANKS, DANIEL.

Convergence Properties of Some Nonlinear Sequence

Transformations.

A Three-Dimensional Analogue to the Method of Bisections

for Solving Nonlinear Equations.

Equivalent Forms of Multistep Formulas.

Error Analysis of Finite Difference Schemes Applied to

Hyperbolic Initial Boundary Value Problems.

See: PEXTON, ROBERT L. & STEIGER, ARNO D.An Attempt to Avoid Exact Jacobian and Nonlinear

Equations in the Numerical Solution of Stiff Differential

Equations .

A "Sinc-Galerkin" Method of Solution of Boundary Value

Problems.

Adaptive Numerical Differentiation.

1041337

1

39912731353

8911019435

680

327

659541

465

139

841217

2391337

8361317

315

722

1229

111041

521

851257

See: O'LEARY, DIANNE P., STEWART, G. W. &

VANDERGRAFT, JAMES S.1289On Faster Convergence of the Bisection Method for

Certain Triangles .'.. 717

A Parallel Algorithm for Solving General Tridiagonal

Equations . 185

New Backward Recurrences for Bessel Functions. 744

Some Interior Estimates for Semidiscrete Galerkin

Approximations for Parabolic Equations . 37

Page 5: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

1382 INDEX OF PAPERS BY AUTHORS

Author

VANDERGRAFT, JAMES S.

VARAH, J.M.

VIGNERON, J. P.

WAGSTAFF, SAMUEL S., JR.

WAGSTAFF, SAMUEL S., J R.WAHLBIN, L. B.

WALLACE, C. S.WHITE, P.C.

WIDLUND.OLOF

WIGGINS, KENNETH L.WILLIAMS, H. C.

WILLIAMS, H.C.&BUHR, P. A.

WILLIAMS, H. C. &SEAH, E.

WILLIAMS, H. C. &SHANKS, DANIEL

WILLIAMSON, R. E.

WINARSKY, N. D.

WOLFBRANDT, ARNE

YANG, C. H.

YOUNG, KIANG-CHUENZWILLINGER, DAN

Title

See: O'LEARY, DIANNE P., STEWART, G. W. &VANDERGRAFT, JAMES S.

On the Efficient Implementation of Implicit Runge-Kutta

Methods.

See: LAMBIN, P. & VIGNERON, J. P.

Greatest of the Least Primes in Arithmetic Progressions

Having a Given Modulus.

Solution of Nathanson's Exponential Congruence.,

See: SCHATZ, A. H. & WAHLBIN, L. B.

See: GUPTA, G. K. & WALLACE, C. S.

See: PETSCHEK, A. G., WILLIAMSON, R. E., KRAUSER,W. J. & WHITE, P. C.

See: O'LEARY, DIANNE P. & WIDLUND, OLOF .

See: SCHMIDT, DARRELL & WIGGINS, KENNETH L.

See: DIAZ Y DIAZ, F., SHANKS, DANIEL &

WILLIAMS, H.C.

Calculation of the Regulator of Q(\/D) by Use of the

Nearest Integer Continued Fraction Algorithm.

Some Primes of the Form (an - 1 )/(o - 1 ).

Page

1289

557805

10731097

465

125

765849

139

836

369

1337

A Note on Class-Number One in Pure Cubic Fields . 1317

See: PETSCHEK, A. G., WILLIAMSON, R. E., KRAUSER,W. J. & WHITE, P. C. 765

See: STEPLEMAN, R. S. & WINARSKY, N. D. 1257

See: STEIHAUG, TROND & WOLFBRANDT, ARNE . 521

Hadamard Matrices, Finite Sequences, and Polynomials

Defined on the Unit Circle. 688

See: McKAY, JOHN & YOUNG, KIANG-CHUEN . 812A Goldbach Conjecture Using Twin Primes. 1071

Page 6: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

SUBJECT CLASSIFICATION SYSTEM

FOR INDEX OF REVIEWS

The following subject classification system is used for the yearly index of reviews,

dividual reviews in the quarterly issues are assigned index classification numbers ¡n

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 floors 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 Analysis

3.1 5 Eigenvalues and Eigenvectors

3.15.1 Error A nal y sis

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 A nalysls

4.05.2 One-Step Methods

4.05.2.1 Error Analysis

4.05.3 Multistep 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

1383

Page 7: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

1384 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 A nal y sis

4.15 Nonlinear Boundary Value and Eigenvalue Problems

4.15.1 Analytic Methods

4.15.1.1 Error Analysis

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 Analysis

5.00 Partial Differential Equations

5.05 Initial Value Problems

5.05.1 Analytic Methods

5.05.1.1 Error A nalysis

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 A nalysis

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 A nalysis

5.15.3 Finite Element and Other Approximation Methods

5.15.3.1 ffrror 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 Integra-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, Psl Functions, Zeta Functions and Related Functions

7.20 Incomplete Gamma Functions

Page 8: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS 1385

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

9.15 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

1 0.30 Permutations, Combinatorial Identities

10.35 Graph Theory

11.00 Geometry

11.05 Coordinate Conversion Tables

11.10 Polyhedra and Poly topes

11.1 5 Graph Theory

12.00 Computers and Other Aids to Computation

12.05 Digital Computers

Page 9: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

1386 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS

1 2.05.1 Coding, Programming and Software

12.05.2 Design and Hardware

12.05.3 Computer Aided Instruction

12.10 Analog Computers12.10.1 Design and Hardware

12.15 Digital-Analog (Hybrid) Computers

12.1 5.1 Coding, Programming and Software

12.15.2 Design and Hardware

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

1 2.25 Nomographs

13.00 Applications

13.05 Physical and Chemical Sciences

13.05.1 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

1 3.25 Biology and the Behavioral Sciences

13.30 Economics and the Social Sciences

13.35 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

Page 10: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Review

Author Number

BAKER, CHRISTOPHER T. H. 5

BOHL, E., COLLATZ, L. & HADELER, 3

K. P., EditorsCOLLATZ, L. 3

Classification

6.15

5.15

Page

1123428

EXTON, H.HADELER, K. P.

LARSEN, HANS A.LUKE, YUDELL L.

MICCHELLI, C. A. & RIVLIN, T. J.Editors

RIVLIN, T. J.

SPOHN, W. G.

See: BOHL, E., COLLATZ, L. & HADELER,K. P., Editors 428

7.80,7.105,12.05.1 1373See: BOHL, E., COLLATZ, L. & HADELER,

K. P., Editors 428

7.10 13762.05.5, 7.20, 7.25, 7.30, 7.45, 7.55, 7.75 4272.05 427

See: MICCHELLI, C. A. & RIVLIN, T. J.

Editors 427

4.00 428

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWEDReview

Author Number Title Page

2.00 Selected Topics in Numerical Analysis

2.05 Approximation Theory

MICCHELLI, C. A. & RIVLIN, T. J. 1

Editors

2.05.5 Rational Approximation

LUKE, YUDELL L. 2

4.00 Ordinary Differential Equations

SPOHN, W. G. 4

5.00 Partial Differential Equations

5.15 Eigenvalue Problems

BOHL, E., COLLATZ, L. & HADELER, 3K. P., Editors

6.00 Other Functional Equations

6.15 Integral Equations

BAKER, CHRISTOPHER T. H. 5

Optimal Estimation in Approximation

Theory 427

Algorithms for the Computation of Mathe-

matical Functions 427

Table of Integral Cuboids and Their

Generators 428

Numerik und Anwendungen von Eigen-

wertaufgaben und Verzweigungsprob-

lemen 428

The Numerical Treatment of Integral

Equations 11237.00 Special Functions

7.10 Elementary Functions, Powers and Roots

LARSEN, HANS A. 7 Natural Tangents and Trigonometrical Qua-

dratic Surds to 50 Decimal Places 1376

7.20 Incomplete Gamma Functions

LUKE, YUDELL L. 2 Algorithms for the Computation of Mathe-

matical Functions 427

7.25 Confluent Hypergeometric Functions

LUKE, YUDELL L. 2 Algorithms for the Computation of Mathe-

matical Functions 427

7.30 Bessel Functions

LUKE, YUDELL L. 2 Algorithms for the Computation of Mathe-

matical Functions 427

1387

Page 11: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

1388 INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Author

Review

Number Title Page

7.45 Gaussian Hypergeometric Functions

LUKE, YUDELL L. 2 Algorithms for the Computation of Mathe-

matical Functions 427

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

LUKE, YUDELL L 2 Algorithms for the Computation of Mathe-

matical Functions 427

7.75 Generalized Hypergeometric Functions of a Single Variable

LUKE, YUDELL L. 2 Algorithms for the Computation of Mathe-

matical Functions 427

7.80 Generalized Hypergeometric Functions of More Than One Variable

EXTON, H. 6 Handbook of Hypergeometric Integrals 1373

7.105 Handbooks of Mathematical Tables and Formulae

EXTON, H. 6 Handbook of Hypergeometric Integrals 1373

12.00 Computers and Other Aids to Computation

12.05 Digital Computers

12.05.1 Coding, Programming and Software

EXTON, H. 6 Handbook of Hypergeometric Integrals 1373

INDEX OF TABLE ERRATA

No. Author

563 ABRAMOWITZ, MILTON & STEGUN,

IRENE A., Editors

561 BATSCHELET, EDWARD

556 CATO, C.

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

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

565 GRADSHTEYN, I. S. & RYZHIK, I. M.558 LEECH, JOHN559 MAGNUS, W. & OBERHETTINGER, F.

562 MARDIA, K. V.

560 WHITTAKER, E. T. & WATSON, G. N.

Title Page

Handbook of Mathematical Functions with

Formulas, Graphs, and Mathematical

Tables 846

Statistical Methods for the Analysis of

Problems in Animal Orientation and

Certain Biological Rhythms 845

The Orders of the Known Simple Groups as

Far as One Trillion 430

Table of Integrals, Series, and Products 430

Table of Integrals, Series, and Products 846

Table of Integrals, Series, and Products 1377

Five Tables Related to Rational Cuboids 430

Formeln und Sätze für die speziellen Funk-

tionen der Mathematischen Physik 431

Statistics of Directional Data 845

A Course of Modern Analysis 431

INDEX OF CORRIGENDA

Author Title

ERNVALL, REIJO & METSÄNKYLÄ, TAUNO Cyclotomic Invariants and /5-lrregularPrimes

GAY, D. M. Modifying Singular Values: Existence of

Solutions to Systems of Nonlinear

Equations Having a Possibly Singular

Jacobian Matrix

A Note on Congruent Numbers

Table of Integrals, Series, and Products

A Comparison of Algorithms for Rational

/°° Approximation

Certain Pure Cubic Fields With Class-

Number One

GODWIN, H. J.

GRADSHTEYN, I. S. & RYZHIK, I. M.LEE, C. M. & ROBERTS, F. D. K.

WILLIAMS, H. C.

INDEX OF NOTES

Author Title

BAJPAI, A. C, CALUS, I. M. & FAIRLEY, Numerical Methods for Engineers andA. Scientists

Page

433

432

847

433

847

847

Page

434

Page 12: INDEX OF PAPERS BY AUTHORS€¦ · ELLIOTT, DAVID & Gauss Type Quadrature Rules for Cauchy Principal Value PAGET, D. F. Integrals. 301 EVANS, RONALD J. & HILL, The Cyclotomic Numbers

INDEX OF MICROFICHE SUPPLEMENTS 1389

INDEX OF MICROFICHE SUPPLEMENTS

Author

BALAZS, N. L., PAULI, H. C. & DABBOUSI,

O. B.CONDE, S. & KALLA, S. L.McKAY, BRENDAN D.

McKAY, JOHN & YOUNG, KIANG-CHUEN

PEXTON, ROBERT L. & STEIGER, ARNO D.

Title MOC Issue

Tables of Weyl Fractional Integrals for

the Airy Function January

The v-Zeros of /_„(*) January

Transitive Graphs With Fewer Than

Twenty Vertices July

The Nonabelian Simple Groups G,

\G\ < 10 —Minimal Generating

Pairs April

Degenerate Roots of Three Transcen-

dental Equations Involving Spherical

Bessel Functions July