ON NUMERICAL INTEGRATION OF CERTAIN PARTIAL DIFFERENTIAL EQUATIONS BY MEANS OF THE IMPROVED EULER-CAUCHY METHOD,

Abstract

The improved Euler-Cauchy method for numerical integration of ordinary differential equations is generalized to partial differential equations. The criteria for computational stability and the truncation errors are studied in connection with application to some simple, linear equations. The method has a built-in damping which increases with decreasing wave-length and increasing wave speed, and seems to be well suited for equations in time and one space coordinate. For equations in time and two space coordinates, however, a complication arises, and a shortening of the time step seems to be necessary in order to secure stability. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 27, 1963
Accession Number
AD0411987

Entities

People

  • A. Eliassen

Organizations

  • University of Oslo

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration
  • Partial Differential Equations
  • Truncation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space