## 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 and G. Wittum PDF
- Math. Comp.
**70**(2001), 897-909

- Error estimates for the three-field formulation with bubble stabilization
- Franco Brezzi and Donatella Marini PDF
- Math. Comp.
**70**(2001), 911-934

- An iterative substructuring method for Maxwell’s equations in two dimensions
- Andrea Toselli, Olof B. Widlund and Barbara I. Wohlmuth PDF
- Math. Comp.
**70**(2001), 935-949

- A new stabilizing technique for boundary integral methods for water waves
- Thomas Y. Hou and Pingwen Zhang PDF
- Math. Comp.
**70**(2001), 951-976

- A convergent boundary integral method for three-dimensional water waves
- J. Thomas Beale PDF
- Math. Comp.
**70**(2001), 977-1029

- Boundary element methods for potential problems with nonlinear boundary conditions
- M. Ganesh and O. Steinbach PDF
- Math. Comp.
**70**(2001), 1031-1042

- Existence of discrete shock profiles of a class of monotonicity preserving schemes for conservation laws
- Haitao Fan PDF
- Math. Comp.
**70**(2001), 1043-1069

- Numerical testing of the stability of viscous shock waves
- Leon Q. Brin PDF
- Math. Comp.
**70**(2001), 1071-1088

- Hermite interpolation by Pythagorean hodograph curves of degree seven
- B. Jüttler PDF
- Math. Comp.
**70**(2001), 1089-1111

- Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
- H. N. Mhaskar, F. J. Narcowich and J. D. Ward PDF
- Math. Comp.
**70**(2001), 1113-1130

- On stable numerical differentiation
- Alexander G. Ramm and Alexandra B. Smirnova PDF
- Math. Comp.
**70**(2001), 1131-1153

- A three-parameter family of nonlinear conjugate gradient methods
- Y. H. Dai and Y. Yuan PDF
- Math. Comp.
**70**(2001), 1155-1167

- Inversion of circulant matrices over $\mathbf {Z}_m$
- Dario Bini, Gianna M. Del Corso, Giovanni Manzini and Luciano Margara PDF
- Math. Comp.
**70**(2001), 1169-1182

- On nonoscillating integrals for computing inhomogeneous Airy functions
- Amparo Gil, Javier Segura and Nico M. Temme PDF
- Math. Comp.
**70**(2001), 1183-1194

- Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative
- Yoshinori Miyazaki, Yasushi Kikuchi, DongSheng Cai and Yasuhiko Ikebe PDF
- Math. Comp.
**70**(2001), 1195-1204

- Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros
- Javier Segura PDF
- Math. Comp.
**70**(2001), 1205-1220

- Power series expansions for Mathieu functions with small arguments
- G. C. Kokkorakis and J. A. Roumeliotis PDF
- Math. Comp.
**70**(2001), 1221-1235

- Using the theory of cyclotomy to factor cyclotomic polynomials over finite fields
- Greg Stein PDF
- Math. Comp.
**70**(2001), 1237-1251

- The index calculus method using non-smooth polynomials
- Theodoulos Garefalakis and Daniel Panario PDF
- Math. Comp.
**70**(2001), 1253-1264

- Geometry of the Jantzen region in Lusztig’s conjecture
- Brian D. Boe PDF
- Math. Comp.
**70**(2001), 1265-1280

- Continued fractions in local fields, II
- Jerzy Browkin PDF
- Math. Comp.
**70**(2001), 1281-1292

- Computing class fields via the Artin map
- Claus Fieker PDF
- Math. Comp.
**70**(2001), 1293-1303

- On iterates of Möbius transformations on fields
- Sam Northshield PDF
- Math. Comp.
**70**(2001), 1305-1310

- Computer verification of the Ankeny–Artin–Chowla Conjecture for all primes less than $100000000000$
- A. J. van der Poorten, H. J. J. te Riele and H. C. Williams PDF
- Math. Comp.
**70**(2001), 1311-1328

- Breeding amicable numbers in abundance. II
- Stefan Battiato and Walter Borho PDF
- Math. Comp.
**70**(2001), 1329-1333

##
Book Reviews

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

- - and -finite element methods. Theory and applications in solid and fluid mechanics, by Ch. Schwab.
- Spectral methods in Matlab, by Lloyd N. Trefethen.
- Generalized difference methods for differential equations. Numerical analysis of finite volume methods, by Ronghua Li, Zhongying Chen and Wei Wu.
- Computer methods for ordinary differential equations and differential-algebraic equations, by Uri M. Ascher and Linda R. Petzold.
- Geometric integration: numerical solution of differential equations, edited by C. J. Budd and A. Iserles.
- Dynamical systems and numerical analysis, by A. M. Stuart and A. R. Humphries.
- Computer solution of large linear systems, by Gerard Meurant.
- Character sums with exponential functions and their applications, by Sergei Konyagin and Igor Shparlinski.
- The algorithmic resolution of Diophantine equations, by Nigel P. Smart.
- Reviewer: Mark Ainsworth

Reviewer: Chi-Wang Shu

Reviewer: Raytcho Lazarov

Reviewer: Rozwitha März

Reviewer: Ernst Hairer

Reviewer: Rozwitha März

Reviewer: Brian Suchomel

Reviewer: Harald Niederreiter

Reviewer: P. G. Walsh

- Review information PDF
- Math. Comp.
**70**(2001), 1335-1352