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) : Liniger,Werner ; Odeh,Farouk

Report Date : 09 JUL 1986

Pagination or Media Count : 10

Abstract : A semi-direct method for the fast solution of the fast solution of Poisson's 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.

Descriptors :   *PARTIAL DIFFERENTIAL EQUATIONS, *POISSON EQUATION, *CIRCUIT ANALYSIS, ASYMPTOTIC SERIES, APPROXIMATION(MATHEMATICS), CONSISTENCY, FINITE DIFFERENCE THEORY, SOLUTIONS(GENERAL), PERTURBATIONS, SEMICONDUCTOR DEVICES, ALGORITHMS, GRADIENTS, ELLIPSES, TWO DIMENSIONAL, NUMERICAL METHODS AND PROCEDURES, RELAXATION, WAVEFRONTS, CONVERGENCE, ONE DIMENSIONAL, PROBLEM SOLVING, CAPACITORS, INTEGRATED CIRCUITS

Subject Categories : Electrical and Electronic Equipment
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE