Contents of Volume 45, Number 171

All articles in this issue are freely accessible.

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A multigrid version of a simple finite element method for the Stokes problem

Juhani Pitkäranta and Tuomo Saarinen.
Math. Comp. 45 (1985), 1-14
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MathSciNet review: 790640

On the accuracy of stable schemes for $2$D scalar conservation laws

Jonathan B. Goodman and Randall J. LeVeque.
Math. Comp. 45 (1985), 15-21
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MathSciNet review: 790641

A linearly implicit finite-difference scheme for the one-dimensional porous medium equation

David Hoff.
Math. Comp. 45 (1985), 23-33
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MathSciNet review: 790642

Error bounds for finite-difference approximations for a class of nonlinear parabolic systems

David Hoff and Joel Smoller.
Math. Comp. 45 (1985), 35-49
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MathSciNet review: 790643

On the rate of convergence for the approximation of nonlinear problems

J. Descloux, J. Rappaz and R. Scholz.
Math. Comp. 45 (1985), 51-64
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MathSciNet review: 790644

Cosine methods for second-order hyperbolic equations with time-dependent coefficients

Laurence A. Bales, Vassilios A. Dougalis and Steven M. Serbin.
Math. Comp. 45 (1985), 65-89
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MathSciNet review: 790645

On the asymptotic convergence of collocation methods with spline functions of even degree

J. Saranen and W. L. Wendland.
Math. Comp. 45 (1985), 91-108
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MathSciNet review: 790646

High-order local rate of convergence by mesh-refinement in the finite element method

Kenneth Eriksson.
Math. Comp. 45 (1985), 109-142
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MathSciNet review: 790647

A general equivalence theorem in the theory of discretization methods

J. M. Sanz-Serna and C. Palencia.
Math. Comp. 45 (1985), 143-152
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MathSciNet review: 790648

Boundary value techniques for initial value problems in ordinary differential equations

A. O. H. Axelsson and J. G. Verwer.
Math. Comp. 45 (1985), 153-171, S1
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MathSciNet review: 790649

An algorithm for nonsmooth convex minimization with errors

Krzysztof C. Kiwiel.
Math. Comp. 45 (1985), 173-180
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MathSciNet review: 790650

Divided differences, shift transformations and Larkin’s root finding method

A. Neumaier and A. Schäfer.
Math. Comp. 45 (1985), 181-196
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MathSciNet review: 790651

Remark on a lemma: “On a method of asymptotic evaluation of multiple integrals” [Math. Comp. 37 (1981), no. 156, 509–521; MR0628712 (83b:41040)] by R. Wong and J. P. McClure

Günter Meinardus.
Math. Comp. 45 (1985), 197-198
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MathSciNet review: 790652

On Shapiro’s cyclic inequality for $N=13$

B. A. Troesch.
Math. Comp. 45 (1985), 199-207
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MathSciNet review: 790653

Constructing integral lattices with prescribed minimum. I

W. Plesken and M. Pohst.
Math. Comp. 45 (1985), 209-221, S5
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MathSciNet review: 790654

Computation of the class number and class group of a complex cubic field

G. Dueck and H. C. Williams.
Math. Comp. 45 (1985), 223-231
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MathSciNet review: 790655

The construction of unramified cyclic quartic extensions of $Q(√m)$

Theresa P. Vaughan.
Math. Comp. 45 (1985), 233-242
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MathSciNet review: 790656

The maximal modulus of an algebraic integer

David W. Boyd.
Math. Comp. 45 (1985), 243-249, S17
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MathSciNet review: 790657

Factorization of multivariate polynomials over finite fields

J. von zur Gathen and E. Kaltofen.
Math. Comp. 45 (1985), 251-261
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MathSciNet review: 790658

Long arithmetic progressions of primes: some old, some new

Paul A. Pritchard.
Math. Comp. 45 (1985), 263-267
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MathSciNet review: 790659

Reviews and Descriptions of Tables and Books

Math. Comp. 45 (1985), 269-275
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Correction: “Gauss-Kronrod integration rules for Cauchy principal value integrals” [Math. Comp. 41 (1983), no. 1, 63–78; MR0701624 (84i:65029)]

Philip Rabinowitz.
Math. Comp. 45 (1985), 277
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MathSciNet review: 790660