Contents of Volume 66, Number 218

All articles in this issue are freely accessible.

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A posteriori error estimate for the mixed finite element method

Carsten Carstensen.
Math. Comp. 66 (1997), 465-476
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MathSciNet review: 1408371

A numerical scheme based on mean value solutions for the Helmholtz equation on triangular grids

M. G. Andrade and J. B. R. do Val.
Math. Comp. 66 (1997), 477-493
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MathSciNet review: 1401937

Viscosity methods for piecewise smooth solutions to scalar conservation laws

Tao Tang and Zhen-huan Teng.
Math. Comp. 66 (1997), 495-526
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MathSciNet review: 1397446

On convergence of numerical schemes for hyperbolic conservation laws with stiff source terms

Abdallah Chalabi.
Math. Comp. 66 (1997), 527-545
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MathSciNet review: 1397441

A priori error estimates for numerical methods for scalar conservation laws. Part II : flux-splitting monotone schemes on irregular Cartesian grids

Bernardo Cockburn and Pierre-Alain Gremaud.
Math. Comp. 66 (1997), 547-572
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MathSciNet review: 1408372

On quasi-Monte Carlo simulation of stochastic differential equations

Norbert Hofmann and Peter Mathé.
Math. Comp. 66 (1997), 573-589
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MathSciNet review: 1397444

Distribution properties of multiply-with-c arry random number generators

Raymond Couture and Pierre L’Ecuyer.
Math. Comp. 66 (1997), 591-607
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MathSciNet review: 1401939

Some extensions of the Lanczos-Ortiz theory of canonical polynomials in the Tau Method

M. E. Froes Bunchaft.
Math. Comp. 66 (1997), 609-621
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MathSciNet review: 1397440

Analysis of an algorithm for generating locally optimal meshes for $L_{2}$ approximation by discontinuous piecewise polynomials

Y. Tourigny and M. J. Baines.
Math. Comp. 66 (1997), 623-650
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MathSciNet review: 1397447

Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems

Stefano Serra.
Math. Comp. 66 (1997), 651-665
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MathSciNet review: 1401945

Implicitly restarted Arnoldi with purification for the shift-invert transformation

Karl Meerbergen and Alastair Spence.
Math. Comp. 66 (1997), 667-689
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MathSciNet review: 1408376

On generalized bisection of $n$-simplices

Reiner Horst.
Math. Comp. 66 (1997), 691-698
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MathSciNet review: 1388889

The resolution of the Gibbs phenomenon for spherical harmonics

Anne Gelb.
Math. Comp. 66 (1997), 699-717
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MathSciNet review: 1401940

On numerical methods for discrete least-squares approximation by trigonometric polynomials

Heike Faßbender.
Math. Comp. 66 (1997), 719-741
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MathSciNet review: 1408374

Accelerated polynomial approximation of finite order entire functions by growth reduction

Jürgen Müller.
Math. Comp. 66 (1997), 743-761
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MathSciNet review: 1401944

On integer Chebyshev polynomials

Laurent Habsieger and Bruno Salvy.
Math. Comp. 66 (1997), 763-770
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MathSciNet review: 1401941

On some inequalities for the incomplete gamma function

Horst Alzer.
Math. Comp. 66 (1997), 771-778
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MathSciNet review: 1397438

Computing irreducible representations of supersolvable groups over small finite fields

A. Omrani and A. Shokrollahi.
Math. Comp. 66 (1997), 779-786
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MathSciNet review: 1408377

Computing canonical heights with little (or no) factorization

Joseph H. Silverman.
Math. Comp. 66 (1997), 787-805
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MathSciNet review: 1388892

Bounds for multiplicative cosets over fields of prime order

Corey Powell.
Math. Comp. 66 (1997), 807-822
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MathSciNet review: 1372008

Computation of Galois groups over function fields

Thomas Mattman and John McKay.
Math. Comp. 66 (1997), 823-831
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MathSciNet review: 1401943

Rational eigenvectors in spaces of ternary forms

Larry Lehman.
Math. Comp. 66 (1997), 833-839
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MathSciNet review: 1397445

On searching for solutions of the Diophantine equation $x^{3}+y^{3}+z^{3}=n$

Kenji Koyama, Yukio Tsuruoka and Hiroshi Sekigawa.
Math. Comp. 66 (1997), 841-851
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MathSciNet review: 1401942

On the $r$-rank Artin Conjecture

Francesco Pappalardi.
Math. Comp. 66 (1997), 853-868
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MathSciNet review: 1377664

The Rabin-Monier theorem for Lucas pseudoprimes

F. Arnault.
Math. Comp. 66 (1997), 869-881
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MathSciNet review: 1408370

Numbers whose positive divisors have small integral harmonic mean

G. L. Cohen.
Math. Comp. 66 (1997), 883-891
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MathSciNet review: 1397443

Decomposing 40 billion integers by four tetrahedral numbers

Chung-Chiang Chou and Yuefan Deng.
Math. Comp. 66 (1997), 893-901
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MathSciNet review: 1397442

On the rapid computation of various polylogarithmic constants

David Bailey, Peter Borwein and Simon Plouffe.
Math. Comp. 66 (1997), 903-913
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MathSciNet review: 1415794

Corrigendum Parity of class numbers and Witt equivalence of quartic fields

Stanislav Jakubec, Frantisek Marko and Kazimierz Szymiczek.
Math. Comp. 66 (1997), 927-927
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MathSciNet review: 1408375

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Reviews and Descriptions of Tables and Books

Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Acta numerica 1995, edited by A. Iserles.

Reviewer: Vidar Thomée
Math. Comp. 66 (1997), 915-925
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Numerical solution of partial differential equations, by K. W. Morton and D. F. Mayers.

Reviewer: Lars B. Wahlbin
Math. Comp. 66 (1997), 915-925
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Computer Numerik 1, 2, by Christoph Überhuber.

Reviewer: Andreas Frommer
Math. Comp. 66 (1997), 915-925
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Abstract machine models for highly parallel comptuers, edited by John R. Davy and Peter M. Dew.

Reviewer: Daniel W. Lozier
Math. Comp. 66 (1997), 915-925
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Mathematics, climate and environment, edited by J. I. Diaz and J. L. Lions.

Reviewer: Juan Mario Restrepo
Math. Comp. 66 (1997), 915-925
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Iterative methods for linear and nonlinear equations, by C. T. Kelley.

Reviewer: Howard Elman
Math. Comp. 66 (1997), 915-925
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Quadratics, by Richard A Mollin.

Reviewer: Harvey Cohn
Math. Comp. 66 (1997), 915-925
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Enumeration to $10^{14}$ of the twin primes and Brun's constant, by Thomas R. Nicely.

Reviewer: Richard P. Brent
Math. Comp. 66 (1997), 915-925
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