## 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