## Contents of Volume 53, Number 188

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- A stable extrapolation method for multidimensional degenerate parabolic problems
- Ricardo H. Nochetto PDF
- Math. Comp.
**53**(1989), 455-470

- Approximations for weakly nonlinear evolution equations
- Milan Miklavčič PDF
- Math. Comp.
**53**(1989), 471-484

- The weighted particle method for convection-diffusion equations. I. The case of an isotropic viscosity
- P. Degond and S. Mas-Gallic PDF
- Math. Comp.
**53**(1989), 485-507

- The weighted particle method for convection-diffusion equations. II. The anisotropic case
- P. Degond and S. Mas-Gallic PDF
- Math. Comp.
**53**(1989), 509-525

- Convergence of a shock-capturing streamline diffusion finite element method for a scalar conservation law in two space dimensions
- Anders Szepessy PDF
- Math. Comp.
**53**(1989), 527-545

- Stability and convergence of spectral methods for hyperbolic initial-boundary value problems
- P. Dutt PDF
- Math. Comp.
**53**(1989), 547-561

- Numerical approximation of minimum norm solutions of $Kf=g$ for special $K$
- Glenn R. Luecke PDF
- Math. Comp.
**53**(1989), 563-569

- Collocation methods for nonlinear Volterra integro-differential equations with infinite delay
- Hermann Brunner PDF
- Math. Comp.
**53**(1989), 571-587

- Complex variable and regularization methods of inversion of the Laplace transform
- D. D. Ang, John Lund and Frank Stenger PDF
- Math. Comp.
**53**(1989), 589-608

- Uniform enclosure of high order of boundary value problems by monotone discretization
- Ch. Grossmann and H.-G. Roos PDF
- Math. Comp.
**53**(1989), 609-617

- Estimates of eigenvalues for iterative methods
- Gene H. Golub and Mark D. Kent PDF
- Math. Comp.
**53**(1989), 619-626

- Some properties of rank-$2$ lattice rules
- J. N. Lyness and I. H. Sloan PDF
- Math. Comp.
**53**(1989), 627-637

- Procedures for estimating the error in Padé approximation
- Claude Brezinski PDF
- Math. Comp.
**53**(1989), 639-648

- Numerical results on relations between fundamental constants using a new algorithm
- David H. Bailey and Helaman R. P. Ferguson PDF
- Math. Comp.
**53**(1989), 649-656

- The validity of Shapiro’s cyclic inequality
- B. A. Troesch PDF
- Math. Comp.
**53**(1989), 657-664

- Effective bounds for the maximal order of an element in the symmetric group
- Jean-Pierre Massias, Jean-Louis Nicolas and Guy Robin PDF
- Math. Comp.
**53**(1989), 665-678

- On the computation of the class number of an algebraic number field
- Johannes Buchmann and H. C. Williams PDF
- Math. Comp.
**53**(1989), 679-688

- Computing all power integral bases of cubic fields
- I. Gaál and N. Schulte PDF
- Math. Comp.
**53**(1989), 689-696

- Computing greatest common divisors and factorizations in quadratic number fields
- Erich Kaltofen and Heinrich Rolletschek PDF
- Math. Comp.
**53**(1989), 697-720

- The probability that a random probable prime is composite
- Su Hee Kim and Carl Pomerance PDF
- Math. Comp.
**53**(1989), 721-741

- New bound for the first case of Fermat’s last theorem
- Jonathan W. Tanner and Samuel S. Wagstaff PDF
- Math. Comp.
**53**(1989), 743-750

- Long chains of nearly doubled primes
- Günter Löh PDF
- Math. Comp.
**53**(1989), 751-759

- Reviews and Descriptions of Tables and Books
- Math. Comp.
**53**(1989), 761-775