Contents of Volume 41, Number 164

All articles in this issue are freely accessible.

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The unconditional instability of inflow-dependent boundary conditions in difference approximations to hyperbolic systems

Eitan Tadmor.
Math. Comp. 41 (1983), 309-319
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MathSciNet review: 717688

Numerical approximations to nonlinear conservation laws with locally varying time and space grids

Stanley Osher and Richard Sanders.
Math. Comp. 41 (1983), 321-336
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MathSciNet review: 717689

A modified finite difference scheme for the Stefan problem

R. E. White.
Math. Comp. 41 (1983), 337-347
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MathSciNet review: 717690

On the asymptotic convergence of collocation methods

Douglas N. Arnold and Wolfgang L. Wendland.
Math. Comp. 41 (1983), 349-381
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MathSciNet review: 717691

A spline-trigonometric Galerkin method and an exponentially convergent boundary integral method

Douglas N. Arnold.
Math. Comp. 41 (1983), 383-397
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MathSciNet review: 717692

Analysis of some mixed finite element methods for plane elasticity equations

J. Pitkäranta and R. Stenberg.
Math. Comp. 41 (1983), 399-423
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MathSciNet review: 717693

A linear scheme for the numerical solution of nonlinear quasistationary magnetic fields

Miloš Zlámal.
Math. Comp. 41 (1983), 425-440
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MathSciNet review: 717694

Numerical methods for a model for compressible miscible displacement in porous media

Jim Douglas and Jean E. Roberts.
Math. Comp. 41 (1983), 441-459
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MathSciNet review: 717695

The use of positive matrices for the analysis of the large time behavior of the numerical solution of reaction-diffusion systems

Luciano Galeone.
Math. Comp. 41 (1983), 461-472
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MathSciNet review: 717696

An efficient algorithm for bifurcation problems of variational inequalities

H. D. Mittelmann.
Math. Comp. 41 (1983), 473-485
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MathSciNet review: 717697

The accurate numerical solution of highly oscillatory ordinary differential equations

Robert E. Scheid.
Math. Comp. 41 (1983), 487-509
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MathSciNet review: 717698

Block AOR iteration for nonsymmetric matrices

Theodore S. Papatheodorou.
Math. Comp. 41 (1983), 511-525
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MathSciNet review: 717699

Local convergence of difference Newton-like methods

T. J. Ypma.
Math. Comp. 41 (1983), 527-536
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MathSciNet review: 717700

Generalized Chebyshev interpolation and its application to automatic quadrature

Takemitsu Hasegawa, Tatsuo Torii and Ichizo Ninomiya.
Math. Comp. 41 (1983), 537-553
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MathSciNet review: 717701

Analytical calculation of a class of integrals containing exponential and trigonometric functions

Vittorio Massidda.
Math. Comp. 41 (1983), 555-557
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MathSciNet review: 717702

A sinc approximation for the indefinite integral

Ralph Baker Kearfott.
Math. Comp. 41 (1983), 559-572
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MathSciNet review: 717703

The maximum of a quasismooth function

J. Ernest Wilkins and Theodore R. Hatcher.
Math. Comp. 41 (1983), 573-589
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MathSciNet review: 717704

Anderson-Björck for linear sequences

Richard F. King.
Math. Comp. 41 (1983), 591-596
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MathSciNet review: 717729

Modulus and phase of the reduced logarithmic derivative of the Hankel function

Andrés Cruz and Javier Sesma.
Math. Comp. 41 (1983), 597-605
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MathSciNet review: 717705

Some extensions of W. Gautschi’s inequalities for the gamma function

D. Kershaw.
Math. Comp. 41 (1983), 607-611
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MathSciNet review: 717706

Some integrals relating to the $I_{e}$-function

Shigehiko Okui.
Math. Comp. 41 (1983), 613-622
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MathSciNet review: 717707

Nonlinear transformations for accelerating the convergence of $M$-dimensional series

N. C. Albertsen, G. Jacobsen and S. B. Sørensen.
Math. Comp. 41 (1983), 623-634
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MathSciNet review: 717708

Solutions of the Diophantine equation $A^{4}+B^{4}=C^{4}+D^{4}$

Aurel J. Zajta.
Math. Comp. 41 (1983), 635-659
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MathSciNet review: 717709

Factors of Fermat numbers and large primes of the form $k⋅2^{n}+1$

Wilfrid Keller.
Math. Comp. 41 (1983), 661-673
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MathSciNet review: 717710

Sets of $n$ squares of which any $n-1$ have their sum square

Jean Lagrange.
Math. Comp. 41 (1983), 675-681
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MathSciNet review: 717711

A lower bound for the norm of the theta operator

L. Alayne Parson.
Math. Comp. 41 (1983), 683-685
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MathSciNet review: 717712

New integer factorizations

Thorkil Naur.
Math. Comp. 41 (1983), 687-695
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MathSciNet review: 717713

Eighteen primes in arithmetic progression

Paul A. Pritchard.
Math. Comp. 41 (1983), 697
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MathSciNet review: 717714

Irreducibility testing and factorization of polynomials

Leonard M. Adleman and Andrew M. Odlyzko.
Math. Comp. 41 (1983), 699-709
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MathSciNet review: 717715

On the existence of fields governing the $2$-invariants of the classgroup of $Q(√dp)$ as $p$ varies

H. Cohn and J. C. Lagarias.
Math. Comp. 41 (1983), 711-730
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MathSciNet review: 717716

Integer points on $y^{2}=x^{3}-7x+10$

Andrew Bremner and Nicholas Tzanakis.
Math. Comp. 41 (1983), 731-741
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MathSciNet review: 717717

Cyclotomy with short periods

D. H. Lehmer and Emma Lehmer.
Math. Comp. 41 (1983), 743-758
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MathSciNet review: 717718

On the zeros of the Riemann zeta function in the critical strip. III

J. van de Lune and H. J. J. te Riele.
Math. Comp. 41 (1983), 759-767
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MathSciNet review: 717719

Reviews and Descriptions of Tables and Books

Math. Comp. 41 (1983), 769-774
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Table errata: Formulas and theorems for the special functions of mathematical physics [Springer, New York, 1966; MR 38 #1291] by W. Magnus, F. Oberhettinger and R. P. Soni

H. van Haeringen and L. P. Kok.
Math. Comp. 41 (1983), 775-778
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MathSciNet review: 717720

Table Errata

Math. Comp. 41 (1983), 775-783
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Table errata: Higher transcendental functions, Vol. III [McGraw-Hill, New York, 1955; MR 16, 586] by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi

H. van Haeringen and L. P. Kok.
Math. Comp. 41 (1983), 778
Abstract, references and article information
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MathSciNet review: 717723

Table errata: Tables of integral transforms, Vol. I [McGraw-Hill, New York, 1954; MR 15, 868] by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi

H. van Haeringen and L. P. Kok.
Math. Comp. 41 (1983), 778-779
Abstract, references and article information
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MathSciNet review: 717724

Table errata: Higher transcendental functions, Vol. I [McGraw-Hill, New York, 1953; MR 15, 419] by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi

H. van Haeringen and L. P. Kok.
Math. Comp. 41 (1983), 778
Abstract, references and article information
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MathSciNet review: 717721

Table errata: Higher transcendental functions, Vol. II [McGraw-Hill, New York, 1953; MR 15, 419] by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi

H. van Haeringen and L. P. Kok.
Math. Comp. 41 (1983), 778
Abstract, references and article information
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MathSciNet review: 717722

Table errata: Tables of integral transforms, Vol. II [McGraw-Hill, New York, 1954; MR 16, 468] by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi

H. van Haeringen and L. P. Kok.
Math. Comp. 41 (1983), 779-780
Abstract, references and article information
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MathSciNet review: 717725

Table errata: Handbook of mathematical functions, with formulas, graphs, and mathematical tables [Dover, New York, 1966; MR 34 #8606]

H. van Haeringen and L. P. Kok.
Math. Comp. 41 (1983), 780
Abstract, references and article information
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MathSciNet review: 717726

Table errata: Table of integrals, series, and products [Academic Press, New York, 1980; MR0582453 (81g:33001)] by I. S. Gradshteĭn and I. M. Ryzhik

Ernst D. Krupnikov.
Math. Comp. 41 (1983), 780-783
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MathSciNet review: 717727

Table errata: Handbook of mathematical functions with formulas, graphs, and mathematical tables [U.S. Government Printing Office, Washington, D.C., 1964; MR 29 #4914]

I. M. Longman.
Math. Comp. 41 (1983), 783
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MathSciNet review: 717728

Author Index

Math. Comp. 41 (1983), 785-794
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