Accession Number:

ADA181407

Title:

Numerical Methods for Stiff Ordinary and Elliptic Partial Differential Equations.

Descriptive Note:

Final technical rept 1 Feb 85-31 Jan 86,

Corporate Author:

IBM THOMAS J WATSON RESEARCH CENTER YORKTOWN HEIGHTS NY

Personal Author(s):

Report Date:

1986-07-09

Pagination or Media Count:

10.0

Abstract:

A semi-direct method for the fast solution of the fast solution of Poissons equation on general two-dimensional regions is proposed. It is based on a constant-coefficient, partially consistent finite difference approximation of the Laplacian which generates a preconditioner for the conjugate gradient method. It appears to be competitive with similar methods which are among the fastest of this type. - A variety of results are given for the convergence of the wavefront relaxation merhod in large scale circuit analysis. -Analytic results for the semiconductor device equations describing the one-dimensional MOS capacitor are given, using asymptotic expansion techniques for singularly perturbed problems.

Subject Categories:

  • Electrical and Electronic Equipment
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE