THE NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS.

Abstract

The accuracy and stability of several original methods for the numerical solution of the partial differential equations U sub t = (sigma)U sub xx and U sub t = -U(U sub x) are investigated. It is found that by using properly chosen combinations of existing methods it is possible to extend the region of stability beyond the normally accepted limits. The cost of this increased stability is an increased truncation error, which would probably prevent the methods from being of great practical value. A study of the properties of a class of multidimensional difference equations is performed, with results derived concerning their eigenvalues and eigenvectors. The plans for a new computer program system for the solution of global meteorological problems are developed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0689842

Entities

People

  • Jack Mettauer
  • Robert D. Klein

Organizations

  • Northeastern University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Errors
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design