Accession Number:

AD0411987

Title:

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

Descriptive Note:

Corporate Author:

OSLO UNIV (NORWAY)

Personal Author(s):

Report Date:

1963-04-27

Pagination or Media Count:

29.0

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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE