Contents of Volume 40, Number 161

All articles in this issue are freely accessible.

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Stability theory of difference approximations for multidimensional initial-boundary value problems

Daniel Michelson.
Math. Comp. 40 (1983), 1-45
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MathSciNet review: 679433

On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions

A. H. Schatz and L. B. Wahlbin.
Math. Comp. 40 (1983), 47-89
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MathSciNet review: 679434

On convergence of monotone finite difference schemes with variable spatial differencing

Richard Sanders.
Math. Comp. 40 (1983), 91-106
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MathSciNet review: 679435

Implicit, time-dependent variable grid finite difference methods for the approximation of a linear waterflood

Jim Douglas and Mary Fanett Wheeler.
Math. Comp. 40 (1983), 107-121
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MathSciNet review: 679436

Collocation methods for boundary value problems on “long” intervals

Peter A. Markowich and Christian A. Ringhofer.
Math. Comp. 40 (1983), 123-150
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MathSciNet review: 679437

Sharp error estimates for a finite element-penalty approach to a class of regulator problems

Goong Chen, Wendell H. Mills, Shun Hua Sun and David A. Yost.
Math. Comp. 40 (1983), 151-173
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MathSciNet review: 679438

Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. I. The nonstiff case

J. R. Cash.
Math. Comp. 40 (1983), 175-191
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MathSciNet review: 679439

Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. II. The stiff case

J. R. Cash.
Math. Comp. 40 (1983), 193-206
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MathSciNet review: 679440

Additive Runge-Kutta methods for stiff ordinary differential equations

G. J. Cooper and A. Sayfy.
Math. Comp. 40 (1983), 207-218
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MathSciNet review: 679441

Preconditioning and two-level multigrid methods of arbitrary degree of approximation

O. Axelsson and I. Gustafsson.
Math. Comp. 40 (1983), 219-242
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MathSciNet review: 679442

A posteriori improvements for interpolating periodic splines

Thomas R. Lucas.
Math. Comp. 40 (1983), 243-251
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MathSciNet review: 679443

A method for interpolating scattered data based upon a minimum norm network

Gregory M. Nielson.
Math. Comp. 40 (1983), 253-271
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MathSciNet review: 679444

On the approximate calculation of double integrals

Moshe Levin.
Math. Comp. 40 (1983), 273-282
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MathSciNet review: 679445

Quadratic pencils and least-squares piecewise-polynomial approximation

Boris Mityagin.
Math. Comp. 40 (1983), 283-300
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MathSciNet review: 679446

Modified multilag methods for Volterra functional equations

P. H. M. Wolkenfelt.
Math. Comp. 40 (1983), 301-316
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MathSciNet review: 679447

An explicit quasi-Newton update for sparse optimization calculations

Angelo Lucia.
Math. Comp. 40 (1983), 317-322
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MathSciNet review: 679448

A general orthogonalization technique with applications to time series analysis and signal processing

George Cybenko.
Math. Comp. 40 (1983), 323-336
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MathSciNet review: 679449

On the convergence behavior of continued fractions with real elements

Walter Gautschi.
Math. Comp. 40 (1983), 337-342
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MathSciNet review: 679450

Chebyshev expansions for the Bessel function $J_{n}(z)$ in the complex plane

J. P. Coleman and A. J. Monaghan.
Math. Comp. 40 (1983), 343-366
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MathSciNet review: 679451

On the numerical construction of ellipsoidal wave functions

F. M. Arscott, P. J. Taylor and R. V. M. Zahar.
Math. Comp. 40 (1983), 367-380
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MathSciNet review: 679452

On the smallest $k$ such that all $k⋅2^{n}+1$ are composite

G. Jaeschke.
Math. Comp. 40 (1983), 381-384
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MathSciNet review: 679453

Divisors of Mersenne numbers

Samuel S. Wagstaff.
Math. Comp. 40 (1983), 385-397
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MathSciNet review: 679454

Sketch of a proof that an odd perfect number relatively prime to $3$ has at least eleven prime factors

Peter Hagis.
Math. Comp. 40 (1983), 399-404
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MathSciNet review: 679455

Odd perfect numbers not divisible by $3$. II

Masao Kishore.
Math. Comp. 40 (1983), 405-411
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MathSciNet review: 679456

Reviews and Descriptions of Tables and Books

Math. Comp. 40 (1983), 413-415
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Table errata: Methods of numerical integration [Academic Press, New York, 1975; MR 56 #7119] by P. J. Davis and P. Rabinowitz

T. Charles Chen.
Math. Comp. 40 (1983), 417
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MathSciNet review: 679457

Table Errata

Math. Comp. 40 (1983), 417
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