## Contents of Volume 53, Number 187

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- The construction of preconditioners for elliptic problems by substructuring. IV
- James H. Bramble, Joseph E. Pasciak and Alfred H. Schatz PDF
- Math. Comp.
**53**(1989), 1-24

- Error estimates for spatially discrete approximations of semilinear parabolic equations with initial data of low regularity
- M. Crouzeix, V. Thomée and L. B. Wahlbin PDF
- Math. Comp.
**53**(1989), 25-41

- On the convergence of a time discretization scheme for the Navier-Stokes equations
- T. Geveci PDF
- Math. Comp.
**53**(1989), 43-53

- Numerical approximation of a wave equation with unilateral constraints
- Michelle Schatzman and Michel Bercovier PDF
- Math. Comp.
**53**(1989), 55-79

- Stability and convergence of the Peaceman-Rachford ADI method for initial-boundary value problems
- W. H. Hundsdorfer and J. G. Verwer PDF
- Math. Comp.
**53**(1989), 81-101

- Improved condition number for spectral methods
- Wilhelm Heinrichs PDF
- Math. Comp.
**53**(1989), 103-119

- Error estimates for semidiscrete finite element methods for parabolic integro-differential equations
- Vidar Thomée and Nai Ying Zhang PDF
- Math. Comp.
**53**(1989), 121-139

- On the numerical solution of the regularized Birkhoff equations
- Christoph Börgers PDF
- Math. Comp.
**53**(1989), 141-156

- Uniform error estimates of Galerkin methods for monotone Abel-Volterra integral equations on the half-line
- P. P. B. Eggermont PDF
- Math. Comp.
**53**(1989), 157-189

- Numerical solution of some classical differential-difference equations
- George Marsaglia, Arif Zaman and John C. W. Marsaglia PDF
- Math. Comp.
**53**(1989), 191-201

- Determination of the $D^ {1/2}$-norm of the SOR iterative matrix for the unsymmetric case
- D. J. Evans and C. Li PDF
- Math. Comp.
**53**(1989), 203-218

- On the dimension of bivariate superspline spaces
- Charles K. Chui and Tian Xiao He PDF
- Math. Comp.
**53**(1989), 219-234

- Algorithms for piecewise polynomials and splines with free knots
- G. Meinardus, G. Nürnberger, M. Sommer and H. Strauss PDF
- Math. Comp.
**53**(1989), 235-247

- A fast algorithm for rational interpolation via orthogonal polynomials
- Ömer Eğecioğlu and Çetin K. Koç PDF
- Math. Comp.
**53**(1989), 249-264

- Newton interpolation in Fejér and Chebyshev points
- Bernd Fischer and Lothar Reichel PDF
- Math. Comp.
**53**(1989), 265-278

- Noninterpolatory integration rules for Cauchy principal value integrals
- P. Rabinowitz and D. S. Lubinsky PDF
- Math. Comp.
**53**(1989), 279-295

- Weight functions for Chebyshev quadrature
- Yuan Xu PDF
- Math. Comp.
**53**(1989), 297-302

- A family of generalized Jacobi polynomials
- F. Locher PDF
- Math. Comp.
**53**(1989), 303-309

- On the mean iteration $(a,b)\leftarrow ((a+3b)/4,(\sqrt {ab}+b)/2)$
- J. M. Borwein and P. B. Borwein PDF
- Math. Comp.
**53**(1989), 311-326

- A table of elliptic integrals: cubic cases
- B. C. Carlson PDF
- Math. Comp.
**53**(1989), 327-333

- Incomplete hyperelliptic integrals and hypergeometric series
- J.-F. Loiseau, J.-P. Codaccioni and R. Caboz PDF
- Math. Comp.
**53**(1989), 335-342

- The exact determination of rectangle discrepancy for linear congruential pseudorandom numbers
- Lothar Afflerbach and Rainer Weilbächer PDF
- Math. Comp.
**53**(1989), 343-354

- Reciprocal polynomials having small measure. II
- David W. Boyd PDF
- Math. Comp.
**53**(1989), 355-357

- The cohomology of the groups of order $32$
- David J. Rusin PDF
- Math. Comp.
**53**(1989), 359-385

- On the computation of unit groups and class groups of totally real quartic fields
- J. Buchmann, M. Pohst and J. von Schmettow PDF
- Math. Comp.
**53**(1989), 387-397

- Infinite sets of primes with fast primality tests and quick generation of large primes
- János Pintz, William L. Steiger and Endre Szemerédi PDF
- Math. Comp.
**53**(1989), 399-406

- Some pseudoprimes and related numbers having special forms
- Wayne L. McDaniel PDF
- Math. Comp.
**53**(1989), 407-409

- A new method for producing large Carmichael numbers
- H. Dubner PDF
- Math. Comp.
**53**(1989), 411-414

- Elliptic pseudoprimes
- I. Miyamoto and M. Ram Murty PDF
- Math. Comp.
**53**(1989), 415-430

- A new lower bound for odd perfect numbers
- Richard P. Brent and Graeme L. Cohen PDF
- Math. Comp.
**53**(1989), 431-437

- $n$-clusters for $1<n<7$
- Landon Curt Noll and David I. Bell PDF
- Math. Comp.
**53**(1989), 439-444

- Reviews and Descriptions of Tables and Books
- Math. Comp.
**53**(1989), 445-453