ON METHODS OF ECONOMIZING THE MEMORIES OF DIGITAL COMPUTERS WHEN SOLVING DIFFERENTIAL EQUATION SYSTEMS,

Abstract

In this report are discussed methods of solving boundary problems for two-and three dimensional selfconjugated differential equations of elliptical type in an arbitrary grid zone. To solve the obtained system of differential equations, simple iteration type methods are proposed, allowing to remember simultaneously the values of the sought for function only in part of the units. Discussed is the convergence of formulated iteration processes and theoretical evaluation of the rate of convergence for the so-called 'single line' method. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 13, 1965
Accession Number
AD0616309

Entities

People

  • I. N. Molchanov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Computers
  • Convergence
  • Differential Equations
  • Digital Computers
  • Equations
  • Iterations
  • Mathematics
  • Test And Evaluation
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

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