Numerical Methods for Stiff Ordinary and Elliptic Partial Differential Equations.

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.

Document Details

Document Type
Technical Report
Publication Date
Jul 09, 1986
Accession Number
ADA181407

Entities

People

  • Farouk Odeh
  • Werner Liniger

Organizations

  • IBM Thomas J. Watson Research Center

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Circuit Analysis
  • Differential Equations
  • Equations
  • Partial Differential Equations
  • Semiconductor Devices
  • Semiconductors
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Integrated Circuit Design and Technology.

Technology Areas

  • Microelectronics