Contents of Volume 38, Number 158

All articles in this issue are freely accessible.

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Upwind difference schemes for hyperbolic systems of conservation laws

Stanley Osher and Fred Solomon.
Math. Comp. 38 (1982), 339-374
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MathSciNet review: 645656

Analysis of some mixed finite element methods related to reduced integration

Claes Johnson and Juhani Pitkäranta.
Math. Comp. 38 (1982), 375-400
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MathSciNet review: 645657

Optimal error properties of finite element methods for second order elliptic Dirichlet problems

Arthur G. Werschulz.
Math. Comp. 38 (1982), 401-413
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MathSciNet review: 645658

Absorbing boundary conditions for the discretization schemes of the one-dimensional wave equation

Laurence Halpern.
Math. Comp. 38 (1982), 415-429
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MathSciNet review: 645659

$A$-stability of a class of methods for the numerical integration of certain linear systems of ordinary differential equations

M. R. Crisci and E. Russo.
Math. Comp. 38 (1982), 431-435
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MathSciNet review: 645660

Some optimal error estimates for piecewise linear finite element approximations

Rolf Rannacher and Ridgway Scott.
Math. Comp. 38 (1982), 437-445
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MathSciNet review: 645661

Polynomial formulation of second derivative multistep methods

S. Kovvali and G. K. Gupta.
Math. Comp. 38 (1982), 447-458
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MathSciNet review: 645662

Direct secant updates of matrix factorizations

J. E. Dennis and Earl S. Marwil.
Math. Comp. 38 (1982), 459-474
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MathSciNet review: 645663

A note on the stable decompostion of skew-symmetric matrices

James R. Bunch.
Math. Comp. 38 (1982), 475-479
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MathSciNet review: 645664

Numerical comparisons of nonlinear convergence accelerators

David A. Smith and William F. Ford.
Math. Comp. 38 (1982), 481-499
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MathSciNet review: 645665

A noniterative method for the generation of orthogonal coordinates in doubly-connected regions

Z. U. A. Warsi and J. F. Thompson.
Math. Comp. 38 (1982), 501-516
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MathSciNet review: 645666

The numerical evaluation of very oscillatory infinite integrals by extrapolation

Avram Sidi.
Math. Comp. 38 (1982), 517-529
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MathSciNet review: 645667

Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations

David Levin.
Math. Comp. 38 (1982), 531-538
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MathSciNet review: 645668

An error estimate for Stenger’s quadrature formula

S. Beighton and B. Noble.
Math. Comp. 38 (1982), 539-545
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MathSciNet review: 645669

Recurrence relations for the indefinite integrals of the associated Legendre functions

A. R. DiDonato.
Math. Comp. 38 (1982), 547-551
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MathSciNet review: 645670

Polynomial type Padé approximants

Géza Németh and Magda Zimányi.
Math. Comp. 38 (1982), 553-565
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MathSciNet review: 645671

A general method of approximation. I

Staffan Wrigge and Arne Fransén.
Math. Comp. 38 (1982), 567-588
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MathSciNet review: 645672

An upper bound for the first zero of Bessel functions

Ll. G. Chambers.
Math. Comp. 38 (1982), 589-591
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MathSciNet review: 645673

Evaluation of generalized Howland integrals

Chih Bing Ling.
Math. Comp. 38 (1982), 593-599
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MathSciNet review: 645674

Simplified forecasting by polynomial regression with equally spaced values of the independent variable

Jack Laderman and Julian D. Laderman.
Math. Comp. 38 (1982), 601-610
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An algorithm for solving a certain class of Diophantine equations. I

David Lee Hilliker.
Math. Comp. 38 (1982), 611-626
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MathSciNet review: 645676

The computation of a certain metric invariant of an algebraic number field

Horst Brunotte.
Math. Comp. 38 (1982), 627-632
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MathSciNet review: 645677

Density problems involving $p_{r}(n)$

Patrick J. Costello.
Math. Comp. 38 (1982), 633-637
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MathSciNet review: 645678

Primes of the form $n!±1$ and $2⋅3⋅5\cdots p±1$

J. P. Buhler, R. E. Crandall and M. A. Penk.
Math. Comp. 38 (1982), 639-643
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MathSciNet review: 645679

Six new factors of Fermat numbers

Gary B. Gostin and Philip B. McLaughlin.
Math. Comp. 38 (1982), 645-649
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MathSciNet review: 645680

Reviews and Descriptions of Tables and Books

Math. Comp. 38 (1982), 651-655
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Corrigenda

Math. Comp. 38 (1982), 657
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Corrigenda: “Optimum accelerated overrelaxation method in a special case” [Math. Comp. 36 (1981), 183–187; MR 82c:65016] by G. Avdelas and the author

A. Hadjidimos.
Math. Comp. 38 (1982), 657
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MathSciNet review: 645683

Corrigenda: “Erratum: Table of integrals, series, and products [Academic Press, New York, 1965; MR 33 #5952] by I. S. Gradshteĭn and I. M. Ryzhik” [Math. Comp. 27 (1973), 451–452; MR 54 #4049] by A. Ojo and J. Sadiku

Henry E. Fettis.
Math. Comp. 38 (1982), 657
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MathSciNet review: 645681

Corrigenda: “Rational Chebyshev approximations for the Bickley functions $Ki_{n}(x)$” [Math. Comp. 32 (1978), no. 143, 876–886; MR 57 #10999] by the author, C. A. Edwards and J. H. Johnson

J. M. Blair.
Math. Comp. 38 (1982), 657
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MathSciNet review: 645682

Author Index

Math. Comp. 38 (1982), 659-661
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