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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Contents of Volume 69, Number 231
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Local and parallel finite element algorithms based on two-grid discretizations
Jinchao Xu and Aihui Zhou HTML | PDF
Math. Comp. 69 (2000), 881-909
Locking-free finite elements for the Reissner-Mindlin plate
Richard S. Falk and Tong Tu PDF
Math. Comp. 69 (2000), 911-928
Analysis of least-squares mixed finite element methods for nonlinear nonstationary convection-diffusion problems
Dan-Ping Yang PDF
Math. Comp. 69 (2000), 929-963
A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
M. Farhloul, S. Nicaise and L. Paquet PDF
Math. Comp. 69 (2000), 965-986
Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
Laurent Gosse and François James PDF
Math. Comp. 69 (2000), 987-1015
Optimal approximation of stochastic differential equations by adaptive step-size control
Norbert Hofmann, Thomas Müller-Gronbach and Klaus Ritter PDF
Math. Comp. 69 (2000), 1017-1034
Computation of Gauss-Kronrod quadrature rules
D. Calvetti, G. H. Golub, W. B. Gragg and L. Reichel PDF
Math. Comp. 69 (2000), 1035-1052
Almost periodic factorization of certain block triangular matrix functions
Ilya M. Spitkovsky and Darryl Yong PDF
Math. Comp. 69 (2000), 1053-1070
Multihomogeneous Newton methods
Jean-Pierre Dedieu and Mike Shub PDF
Math. Comp. 69 (2000), 1071-1098
Newton’s method for overdetermined systems of equations
J. P. Dedieu and M. Shub PDF
Math. Comp. 69 (2000), 1099-1115
Evaluating higher derivative tensors by forward propagation of univariate Taylor series
Andreas Griewank, Jean Utke and Andrea Walther PDF
Math. Comp. 69 (2000), 1117-1130
Random Fibonacci sequences and the number $1.13198824\dots$
Divakar Viswanath PDF
Math. Comp. 69 (2000), 1131-1155
Rudin-Shapiro-like polynomials in $L_{4}$
Peter Borwein and Michael Mossinghoff PDF
Math. Comp. 69 (2000), 1157-1166
A polynomial-time complexity bound for the computation of the singular part of a Puiseux expansion of an algebraic function
P. G. Walsh PDF
Math. Comp. 69 (2000), 1167-1182
Irreducibility testing over local fields
P. G. Walsh PDF
Math. Comp. 69 (2000), 1183-1191
On the modular curves $Y_E(7)$
Emmanuel Halberstadt and Alain Kraus PDF
Math. Comp. 69 (2000), 1193-1206
On a unit group generated by special values of Siegel modular functions
T. Fukuda and K. Komatsu PDF
Math. Comp. 69 (2000), 1207-1212
Class group frequencies of real quadratic function fields: The degree 4 case
Christian Friesen PDF
Math. Comp. 69 (2000), 1213-1228
Computing the Hilbert class field of real quadratic fields
Henri Cohen and Xavier-François Roblot PDF
Math. Comp. 69 (2000), 1229-1244
Voronoi’s algorithm in purely cubic congruence function fields of unit rank 1
R. Scheidler and A. Stein PDF
Math. Comp. 69 (2000), 1245-1266
Using number fields to compute logarithms in finite fields
Oliver Schirokauer PDF
Math. Comp. 69 (2000), 1267-1283
A new bound for the smallest $x$ with $\pi (x) > \mathrm {li}(x)$
Carter Bays and Richard H. Hudson PDF
Math. Comp. 69 (2000), 1285-1296
Three new factors of Fermat numbers
R. P. Brent, R. E. Crandall, K. Dilcher and C. Van Halewyn PDF
Math. Comp. 69 (2000), 1297-1304

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

Handbook of numerical analysis, Vol. VI, Numerical methods for solids (Part 3), Numerical methods for fluids (Part 1), edited by P. G. Ciarlet and J. L. Lions.
Dynamic Multilevel Methods and the Numerical Simulation of Turbulence, by Thierry Dubois, Francois Jauberteau and Roger Temam.
Numerical linear algebra for high-performance computers, by Jack J. Dongarra, Iain S. Duff, Danny C. Sorensen and Henk A. van der Vorst.
ARPACK Users' Guide, Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods, by R. B. Lehoucq, D. C. Sorensen and C. Yang.
Computational Integration, by Arnold R. Krommer and Christoph W. Ueberhuber.
Computational methods in commutative algebra and algebraic geometry, by Wolmer V. Vasconcelos.
The Mathematics of Ciphers, Number Theory and RSA Cryptography, by S. C. Coutinho.
Reviewer: William Layton
Reviewer: Chi-Wang Shu
Reviewer: Valeria Simoncini
Reviewer: G. W. Stewart
Reviewer: Walter Gautschi
Reviewer: Arjeh M. Cohen
Reviewer: Gary Walsh
Review information PDF
Math. Comp. 69 (2000), 1305-1315