Contents of Volume 67, Number 222

All articles in this issue are freely accessible.

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Implicit-explicit multistep finite element methods for nonlinear parabolic problems

Georgios Akrivis, Michel Crouzeix and Charalambos Makridakis.
Math. Comp. 67 (1998), 457-477
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MathSciNet review: 1458216

A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method

Ohannes Karakashian and Charalambos Makridakis.
Math. Comp. 67 (1998), 479-499
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MathSciNet review: 1459390

Multilevel additive Schwarz method for the $h$-$p$ version of the Galerkin boundary element method

Norbert Heuer, Ernst P. Stephan and Thanh Tran.
Math. Comp. 67 (1998), 501-518
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MathSciNet review: 1451325

Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities

X. Chen, L. Qi and D. Sun.
Math. Comp. 67 (1998), 519-540
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MathSciNet review: 1458218

Derivative superconvergent points in finite element solutions of Poisson’s equation for the serendipity and intermediate families - a theoretical justification

Zhimin Zhang.
Math. Comp. 67 (1998), 541-552
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MathSciNet review: 1459393

A convergence theorem for the fast multipole method for 2 dimensional scattering problems

Christophe Labreuche.
Math. Comp. 67 (1998), 553-591
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MathSciNet review: 1458223

Convergence of a random walk method for a partial differential equation

Weidong Lu.
Math. Comp. 67 (1998), 593-602
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MathSciNet review: 1443122

On the non-existence of $𝜀$-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems

Paul A. Farrell, John J. H. Miller, Eugene O’Riordan and Grigorii I. Shishkin.
Math. Comp. 67 (1998), 603-617
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MathSciNet review: 1451321

Numerical conformal mapping based on the generalised conjugation operator

Bao Cheng Li and Stavros Syngellakis.
Math. Comp. 67 (1998), 619-639
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MathSciNet review: 1464146

Numerical evaluation of a symmetric potential function

Lori A. Carmack.
Math. Comp. 67 (1998), 641-646
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MathSciNet review: 1459384

Approximation properties of multivariate wavelets

Rong-Qing Jia.
Math. Comp. 67 (1998), 647-665
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MathSciNet review: 1451324

Multigrid and multilevel methods for nonconforming $Q_{1}$ elements

Zhangxin Chen and Peter Oswald.
Math. Comp. 67 (1998), 667-693
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MathSciNet review: 1451319

The $d_{2}$-transformation for infinite double series and the $D_{2}$-transformation for infinite double integrals

Chen Greif and David Levin.
Math. Comp. 67 (1998), 695-714
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MathSciNet review: 1464144

Power series with restricted coefficients and a root on a given ray

Franck Beaucoup, Peter Borwein, David W. Boyd and Christopher Pinner.
Math. Comp. 67 (1998), 715-736
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MathSciNet review: 1468939

Classification of integral lattices with large class number

Rudolf Scharlau and Boris Hemkemeier.
Math. Comp. 67 (1998), 737-749
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MathSciNet review: 1458224

The number of lattice points in alcoves and the exponents of the finite Weyl groups

Ruedi Suter.
Math. Comp. 67 (1998), 751-758
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MathSciNet review: 1443124

Exceptional units in a family of quartic number fields

G. Niklasch and N. P. Smart.
Math. Comp. 67 (1998), 759-772
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MathSciNet review: 1464147

Computing ray class groups, conductors and discriminants

H. Cohen, F. Diaz y Diaz and M. Olivier.
Math. Comp. 67 (1998), 773-795
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MathSciNet review: 1443117

A constructive theory of triple and quintuple product identities of the second degree

Richard Blecksmith, John Brillhart and Irving Gerst.
Math. Comp. 67 (1998), 797-814
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MathSciNet review: 1458217

Orbits of algebraic numbers with low heights

Gregory P. Dresden.
Math. Comp. 67 (1998), 815-820
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MathSciNet review: 1468942

Diameters of complete sets of conjugate algebraic integers of small degree

Michel Grandcolas.
Math. Comp. 67 (1998), 821-831
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MathSciNet review: 1451322

Solving constrained Pell equations

Kiran S. Kedlaya.
Math. Comp. 67 (1998), 833-842
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MathSciNet review: 1443123

Wilson quotients for composite moduli

Takashi Agoh, Karl Dilcher and Ladislav Skula.
Math. Comp. 67 (1998), 843-861
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MathSciNet review: 1464140

Checking the odd Goldbach conjecture up to $10^{20}$

Yannick Saouter.
Math. Comp. 67 (1998), 863-866
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MathSciNet review: 1451327

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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.

Primal-dual interior-point methods, by Stephen J. Wright.

Reviewer: Michael J. Todd
Math. Comp. 67 (1998), 867-875
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Computational mathematics in engineering and applied science: ODEs, DAEs, and PDEs, by William E. Schiesser.

Reviewer: Zhimin Zhang
Math. Comp. 67 (1998), 867-875
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Special functions: An introduction to the classical functions of mathematical physics, by Nico M. Temme.

Reviewer: Jet Wimp
Math. Comp. 67 (1998), 867-875
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Tables addenda for Laplace transforms, by R. G. Buschman.

Reviewer: Nico M. Temme
Math. Comp. 67 (1998), 867-875
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