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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

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Contents of Volume 68, Number 225

All articles in this issue are freely accessible.

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The discrete Plateau Problem: Algorithm and numerics
Gerhard Dziuk and John E. Hutchinson.
Math. Comp. 68 (1999), 1-23
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MathSciNet review: 1613695
Convergence of nonconforming multigrid methods without full elliptic regularity
Susanne C. Brenner.
Math. Comp. 68 (1999), 25-53
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MathSciNet review: 1620215
A shadowing result with applications to finite element approximation of reaction-diffusion equations
Stig Larsson and J.-M. Sanz-Serna.
Math. Comp. 68 (1999), 55-72
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MathSciNet review: 1620227
Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: The Hölder case
C. González and C. Palencia.
Math. Comp. 68 (1999), 73-89
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MathSciNet review: 1609666
On the extraction technique in boundary integral equations
C. Schwab and W. L. Wendland.
Math. Comp. 68 (1999), 91-122
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MathSciNet review: 1620247
Non-reflecting boundary conditions for waveguides
A. Bendali and Ph. Guillaume.
Math. Comp. 68 (1999), 123-144
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MathSciNet review: 1609674
Absorbing boundary conditions for electromagnetic wave propagation
Xiaobing Feng.
Math. Comp. 68 (1999), 145-168
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MathSciNet review: 1613707
Convergence of Newton’s method and inverse function theorem in Banach space
Wang Xinghua.
Math. Comp. 68 (1999), 169-186
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MathSciNet review: 1489975
Error estimates for 3-d narrow finite elements
Ricardo G. Durán.
Math. Comp. 68 (1999), 187-199
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MathSciNet review: 1489970
Improved error bounds for scattered data interpolation by radial basis functions
R. Schaback.
Math. Comp. 68 (1999), 201-216
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MathSciNet review: 1604379
A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations
Abdelkrim Ezzirani and Allal Guessab.
Math. Comp. 68 (1999), 217-248
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MathSciNet review: 1604332
Tables of linear congruential generators of different sizes and good lattice structure
Pierre L’Ecuyer.
Math. Comp. 68 (1999), 249-260
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MathSciNet review: 1489972
Tables of maximally equidistributed combined LFSR generators
Pierre L’Ecuyer.
Math. Comp. 68 (1999), 261-269
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MathSciNet review: 1620231
Normal bases via general Gauss periods
Sandra Feisel, Joachim von zur Gathen and M. Amin Shokrollahi.
Math. Comp. 68 (1999), 271-290
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MathSciNet review: 1484903
Tame and wild kernels of quadratic imaginary number fields
Jerzy Browkin and Herbert Gangl.
Math. Comp. 68 (1999), 291-305
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MathSciNet review: 1604336
Examples of genus two CM curves defined over the rationals
Paul van Wamelen.
Math. Comp. 68 (1999), 307-320
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MathSciNet review: 1609658
A census of cusped hyperbolic 3-manifolds
Patrick J. Callahan, Martin V. Hildebrand and Jeffrey R. Weeks.
Math. Comp. 68 (1999), 321-332
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MathSciNet review: 1620219
Non-primitive number fields of degree eight and of signature $(2,3)$, $(4,2)$, and $(6,1)$ with small discriminant
Schehrazad Selmane.
Math. Comp. 68 (1999), 333-344
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MathSciNet review: 1489974
On factor refinement in number fields
Johannes Buchmann and Friedrich Eisenbrand.
Math. Comp. 68 (1999), 345-350
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MathSciNet review: 1613766
Analysis of PSLQ, an integer relation finding algorithm
Helaman R. P. Ferguson, David H. Bailey and Steve Arno.
Math. Comp. 68 (1999), 351-369
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MathSciNet review: 1489971
Maximum excursion and stopping time record-holders for the problem: Computational results
Tomás Oliveira e Silva.
Math. Comp. 68 (1999), 371-384
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On two classes of simultaneous Pell equations with no solutions
P. G. Walsh.
Math. Comp. 68 (1999), 385-388
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MathSciNet review: 1622101
Advances in aliquot sequences
Manuel Benito and Juan L. Varona.
Math. Comp. 68 (1999), 389-393
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MathSciNet review: 1489967
Gaps between integers with the same prime factors
Todd Cochrane and Robert E. Dressler.
Math. Comp. 68 (1999), 395-401
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MathSciNet review: 1613691
The number of primes is finite
Miodrag Živković.
Math. Comp. 68 (1999), 403-409
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MathSciNet review: 1484905
The $k^{th}$ prime is greater than $k(\ln k + \ln \ln k-1)$ for $k\geq 2$
Pierre Dusart.
Math. Comp. 68 (1999), 411-415
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MathSciNet review: 1620223
New Fibonacci and Lucas primes
Harvey Dubner and Wilfrid Keller.
Math. Comp. 68 (1999), 417-427
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MathSciNet review: 1484896
Factorization of the tenth Fermat number
Richard P. Brent.
Math. Comp. 68 (1999), 429-451
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MathSciNet review: 1489968
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 linear algebra, by Lloyd N. Trefethen and III David Bau.
Reviewer: G. W. Stewart
Math. Comp. 68 (1999), 453-459
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A first course in the numerical analysis of differential equations, by Arieh Iserles.
Reviewer: Tom King
Math. Comp. 68 (1999), 453-459
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Numerical methods for the three dimensional shallow water equations on supercomputers, by E. D. de Goede.
Reviewer: Yves Achdou
Math. Comp. 68 (1999), 453-459
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Boundary element method, fundamentals and applications, by Frederico Paris and Jose Canas.
Reviewer: Frank Stenger
Math. Comp. 68 (1999), 453-459
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