THE METHOD OF ODD/EVEN REDUCTION AND FACTORIZATION WITH APPLICATION TO POISSON'S EQUATION, PART 2

Abstract

The methods of Buneman are derived and generalized for solving elliptic partial difference equations in a rectangular region. It is shown why the Buneman methods lead to numerically accurate solutions whereas the CORF algorithm may be numerically unstable. Several numerical examples are given and discussed.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0705508

Entities

People

  • B. L. Buzbee
  • C. W. Nielson
  • G. H. Golub

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Computations
  • Computer Science
  • Difference Equations
  • Eigenvalues
  • Equations
  • Errors
  • Fast Fourier Transforms
  • Linear Algebra
  • Machine Languages
  • Military Research
  • Nuclear Energy
  • Sequences
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)