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Mathematics of Computation

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Contents of Volume 67, Number 221

All articles in this issue are freely accessible.

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Analysis of non-overlapping domain decomposition algorithms with inexact solves
James H. Bramble, Joseph E. Pasciak and Apostol T. Vassilev.
Math. Comp. 67 (1998), 1-19
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MathSciNet review: 1432125
The Trotter-Kato theorem and approximation of PDEs
Kazufumi Ito and Franz Kappel.
Math. Comp. 67 (1998), 21-44
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MathSciNet review: 1443120
Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
Stig Larsson, Vidar Thomée and Lars B. Wahlbin.
Math. Comp. 67 (1998), 45-71
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MathSciNet review: 1432129
Total variation diminishing Runge-Kutta schemes
Sigal Gottlieb and Chi-Wang Shu.
Math. Comp. 67 (1998), 73-85
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MathSciNet review: 1443118
Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws
Haitao Fan.
Math. Comp. 67 (1998), 87-109
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MathSciNet review: 1451320
Finite element analysis of compressible and incompressible fluid-solid systems
Alfredo Bermúdez, Ricardo Durán and Rodolfo Rodríguez.
Math. Comp. 67 (1998), 111-136
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MathSciNet review: 1434937
Convergence of a non-stiff boundary integral method for interfacial flows with surface tension
Héctor D. Ceniceros and Thomas Y. Hou.
Math. Comp. 67 (1998), 137-182
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MathSciNet review: 1443116
A note on stability of the Douglas splitting method
Willem Hundsdorfer.
Math. Comp. 67 (1998), 183-190
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MathSciNet review: 1443119
Compactly supported tight affine spline frames in $L_{2}(\mathbb R^{d})$
Amos Ron and Zuowei Shen.
Math. Comp. 67 (1998), 191-207
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MathSciNet review: 1433269
Convergence of non-stationary parallel multisplitting methods for hermitian positive definite matrices
M. Jesús Castel, Violeta Migallón and José Penadés.
Math. Comp. 67 (1998), 209-220
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MathSciNet review: 1433264
A new parallel chasing algorithm for transforming arrowhead matrices to tridiagonal form
Suely Oliveira.
Math. Comp. 67 (1998), 221-235
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MathSciNet review: 1433266
A new class of asynchronous iterative algorithms with order intervals
J. C. Miellou, D. El Baz and P. Spiteri.
Math. Comp. 67 (1998), 237-255
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MathSciNet review: 1432131
Numerical calculation of the multiplicity of a solution to algebraic equations
Hidetsune Kobayashi, Hideo Suzuki and Yoshihiko Sakai.
Math. Comp. 67 (1998), 257-270
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MathSciNet review: 1434942
Analysis of third-order methods for secular equations
A. Melman.
Math. Comp. 67 (1998), 271-286
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MathSciNet review: 1432130
Approximation of continuous time stochastic processes by a local linearization method
Isao Shoji.
Math. Comp. 67 (1998), 287-298
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MathSciNet review: 1432134
A generalized discrepancy and quadrature error bound
Fred J. Hickernell.
Math. Comp. 67 (1998), 299-322
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MathSciNet review: 1433265
Quadrature formulae using zeros of Bessel functions as nodes
Riadh Ben Ghanem.
Math. Comp. 67 (1998), 323-336
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MathSciNet review: 1432128
Distribution of irreducible polynomials of small degrees over finite fields
Kie H. Ham and Gary L. Mullen.
Math. Comp. 67 (1998), 337-341
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MathSciNet review: 1434940
Gauss periods: orders and cryptographical applications
Shuhong Gao, Joachim von zur Gathen and Daniel Panario.
Math. Comp. 67 (1998), 343-352
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MathSciNet review: 1458221
Evaluation of discrete logarithms in a group of $p$-torsion points of an elliptic curve in characteristic $p$
I. A. Semaev.
Math. Comp. 67 (1998), 353-356
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MathSciNet review: 1432133
Steiner systems $S(5,6,v)$ with $v=72$ and $84$
M. J. Grannell, T. S. Griggs and R. A. Mathon.
Math. Comp. 67 (1998), 357-359
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MathSciNet review: 1451323
Tables of unit groups and class groups of quintic fields and a regulator bound
M. Pohst and K. Wildanger.
Math. Comp. 67 (1998), 361-367
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MathSciNet review: 1451326
On divisibility of the class number $h^{+}$ of the real cyclotomic fields of prime degree $l$
Stanislav Jakubec.
Math. Comp. 67 (1998), 369-398
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MathSciNet review: 1443121
On $𝜙$-amicable pairs
Graeme L. Cohen and Herman J. J. te Riele.
Math. Comp. 67 (1998), 399-411
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MathSciNet review: 1458219
On the Diophantine equation $|ax^{n}-by^{n}|=1$
Michael A. Bennett and Benjamin M. M. de Weger.
Math. Comp. 67 (1998), 413-438
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MathSciNet review: 1434936
A conjecture of Erdös on 3-powerful numbers
J. H. E. Cohn.
Math. Comp. 67 (1998), 439-440
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MathSciNet review: 1432127
Factors of generalized Fermat numbers
Anders Björn and Hans Riesel.
Math. Comp. 67 (1998), 441-446
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MathSciNet review: 1433262
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.

Numerical methods for differential equations. A computational approach, by John R. Dormand.
Reviewer: Winfried Auzinger
Math. Comp. 67 (1998), 447-456
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An introduction to functional analysis and computational mathematics, by V. I. Lebedev.
Reviewer: Carl de Boor
Math. Comp. 67 (1998), 447-456
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Numerical recipes in Fortran 90: The art of parallel scientific computing, Volume 2 of Fortan numerical recipes, second edition, by Saul A. Teukolsky William H. Press, William T. Vetterling and Brian P. Flannery.
Reviewer: Daniel W. Lozier
Math. Comp. 67 (1998), 447-456
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Algorithms for linear-quadratic optimization, by Vasile Sima.
Reviewer: Peter Benner
Math. Comp. 67 (1998), 447-456
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Computation of special functions, by Shanjie Zhang and Jianming Jin.
Reviewer: Daniel W. Lozier
Math. Comp. 67 (1998), 447-456
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Computational ocean acoustics, by William A. Kuperman Finn B. Jensen, Michael B. Porter and Henrik Schmidt.
Reviewer: R. P. Gilbert
Math. Comp. 67 (1998), 447-456
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Applications on advanced architecture computers, edited by Greg Astfalk.
Reviewer: Daniel W. Lozier
Math. Comp. 67 (1998), 447-456
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