MILDLY NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS AND THEIR NUMERICAL SOLUTION. II,

Abstract

High speed digital computer methods are studied for obtaining solutions of difference equation analogues of mildly nonlinear elliptic boundary value problems. The problem is formulated in terms of finding a vector X which satisfies AX = - f(X) + Y, where A is an irreducible M matrix, Y is a given vector, and f is a given function. Two general iteration techniques and related convergence theorems are explored. The methods and ideas also extend to a large class of ordinary differential equation boundary value problems. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1964
Accession Number
AD0603291

Entities

People

  • Donald Greenspan
  • Seymour V. Parter

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Analogs
  • Boundaries
  • Boundary Value Problems
  • Computers
  • Convergence
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Equations
  • Iterations
  • Mathematical Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.