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
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
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
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
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
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
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
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
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
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
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
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