Numerical Analysis

Abstract

The proposal to AFOSR emphasized research on the effective solution of discrete elliptic equations. In particular the proposal emphasized that the research would concentrate on four main areas: (1) Sharp Estimates for Multigrid Methods; (2) Preconditioned Conjugate Gradient methods with a particular emphasis on multigrid as a preconditioner; (3) Indefinite elliptic problems and singularly perturbed elliptic problems; (4) The implementation of these methods on parallel computers and multiprocessors. Significant progress was made on all the above areas with the exception of topic 4. The press of preliminary theoretical work and computational studies undertaken in support of that theoretical work just kept us too busy.

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Document Details

Document Type
Technical Report
Publication Date
Sep 14, 1989
Accession Number
ADA221982

Entities

People

  • Seymour V. Parter

Organizations

  • University of Wisconsin Madison Department of Computer Science

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Computations
  • Computer Science
  • Computers
  • Convergence
  • Differential Equations
  • Equations
  • Fourier Analysis
  • Mathematics
  • Mountains
  • New York
  • Numerical Analysis
  • Partial Differential Equations
  • Perturbations
  • Theorems
  • Universities

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Parallel and Distributed Computing.
  • Technical Research and Report Writing.