Contents of Volume 70, Number 235

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Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part 1: A smooth problem and globally quasi-uniform meshes

W. Hoffmann; A. H. Schatz; L. B. Wahlbin; G. Wittum
Math. Comp. 70 (2001), 897-909.
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MathSciNet review: 1826572

Error estimates for the three-field formulation with bubble stabilization

Franco Brezzi; Donatella Marini
Math. Comp. 70 (2001), 911-934.
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MathSciNet review: 1826573

An iterative substructuring method for Maxwell's equations in two dimensions

Andrea Toselli; Olof B. Widlund; Barbara I. Wohlmuth
Math. Comp. 70 (2001), 935-949.
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MathSciNet review: 1710632

A new stabilizing technique for boundary integral methods for water waves

Thomas Y. Hou; Pingwen Zhang
Math. Comp. 70 (2001), 951-976.
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MathSciNet review: 1826574

A convergent boundary integral method for three-dimensional water waves

J. Thomas Beale
Math. Comp. 70 (2001), 977-1029.
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MathSciNet review: 1709144

Boundary element methods for potential problems with nonlinear boundary conditions

M. Ganesh; O. Steinbach
Math. Comp. 70 (2001), 1031-1042.
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MathSciNet review: 1826575

Existence of discrete shock profiles of a class of monotonicity preserving schemes for conservation laws

Haitao Fan
Math. Comp. 70 (2001), 1043-1069.
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MathSciNet review: 1826576

Numerical testing of the stability of viscous shock waves

Leon Q. Brin
Math. Comp. 70 (2001), 1071-1088.
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MathSciNet review: 1710652

Hermite interpolation by Pythagorean hodograph curves of degree seven

B. Jüttler
Math. Comp. 70 (2001), 1089-1111.
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MathSciNet review: 1826577

Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature

H. N. Mhaskar; F. J. Narcowich; J. D. Ward
Math. Comp. 70 (2001), 1113-1130.
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MathSciNet review: 1710640

On stable numerical differentiation

Alexander G. Ramm; Alexandra B. Smirnova
Math. Comp. 70 (2001), 1131-1153.
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MathSciNet review: 1826578

A three-parameter family of nonlinear conjugate gradient methods

Y. H. Dai; Y. Yuan
Math. Comp. 70 (2001), 1155-1167.
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MathSciNet review: 1826579

Inversion of circulant matrices over $\mathbf{Z}_m$

Dario Bini; Gianna M. Del Corso; Giovanni Manzini; Luciano Margara
Math. Comp. 70 (2001), 1169-1182.
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MathSciNet review: 1710660

On nonoscillating integrals for computing inhomogeneous Airy functions

Amparo Gil; Javier Segura; Nico M. Temme
Math. Comp. 70 (2001), 1183-1194.
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MathSciNet review: 1826580

Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative

Yoshinori Miyazaki; Yasushi Kikuchi; DongSheng Cai; Yasuhiko Ikebe
Math. Comp. 70 (2001), 1195-1204.
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MathSciNet review: 1710636

Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros

Javier Segura
Math. Comp. 70 (2001), 1205-1220.
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MathSciNet review: 1710198

Power series expansions for Mathieu functions with small arguments

G. C. Kokkorakis; J. A. Roumeliotis
Math. Comp. 70 (2001), 1221-1235.
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MathSciNet review: 1709153

Using the theory of cyclotomy to factor cyclotomic polynomials over finite fields

Greg Stein
Math. Comp. 70 (2001), 1237-1251.
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MathSciNet review: 1709159

The index calculus method using non-smooth polynomials

Theodoulos Garefalakis; Daniel Panario
Math. Comp. 70 (2001), 1253-1264.
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MathSciNet review: 1826581

Geometry of the Jantzen region in Lusztig's conjecture

Brian D. Boe
Math. Comp. 70 (2001), 1265-1280.
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MathSciNet review: 1709146

Continued fractions in local fields, II

Jerzy Browkin
Math. Comp. 70 (2001), 1281-1292.
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MathSciNet review: 1826582

Computing class fields via the Artin map

Claus Fieker
Math. Comp. 70 (2001), 1293-1303.
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MathSciNet review: 1826583

On iterates of Möbius transformations on fields

Sam Northshield
Math. Comp. 70 (2001), 1305-1310.
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MathSciNet review: 1710202

Computer verification of the Ankeny--Artin--Chowla Conjecture for all primes less than $100000000000$

A. J. van der Poorten; H. J. J. te Riele; H. C. Williams
Math. Comp. 70 (2001), 1311-1328.
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MathSciNet review: 1709160

Breeding amicable numbers in abundance. II

Stefan Battiato; Walter Borho
Math. Comp. 70 (2001), 1329-1333.
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MathSciNet review: 1826584

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Book Reviews
Math. Comp. 70 (2001), 1335-1352

Book reviews do not contain an abstract. You may download the entire set of reviews from this issue using the links below.

$p$- and $hp$-finite element methods. Theory and applications in solid and fluid mechanics

Reviewer(s) Mark Ainsworth
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Spectral methods in Matlab

Reviewer(s) Chi-Wang Shu
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Generalized difference methods for differential equations. Numerical analysis of finite volume methods

Reviewer(s) Raytcho Lazarov
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Computer methods for ordinary differential equations and differential-algebraic equations

Reviewer(s) Rozwitha März
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Geometric integration: numerical solution of differential equations

Reviewer(s) Ernst Hairer
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Dynamical systems and numerical analysis

Reviewer(s) Rozwitha März
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Computer solution of large linear systems

Reviewer(s) Brian Suchomel
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Character sums with exponential functions and their applications

Reviewer(s) Harald Niederreiter
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The algorithmic resolution of Diophantine equations

Reviewer(s) P. G. Walsh
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