Accession Number : AD0750349

Title :   An Extended Finite Differences Method for the Solution of System Problems,

Corporate Author : MILITARY ACADEMY WEST POINT N Y

Personal Author(s) : Longcor,Clarence R.

Report Date : 1972

Pagination or Media Count : 15

Abstract : The material presented here is intended to extend the two hundred year old direct variational method of finite differences (DVMFD) as a numerical integration method for solving differential system equations. A numerical predictor and subsequent idealized numerical integrator are formulated. An existing counterpart to the DVMFD, the action functional, also emerges to provide a direct link between the DVMFD and the principle of Lagrange. A parallel objective then becomes one of exploring the physical identity of the action functional by way of providing an even more generalized Lagrangian recipe for handling a broad class of physical systems. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), DIFFERENCE EQUATIONS, CALCULUS OF VARIATIONS, INTEGRAL TRANSFORMS, MATRICES(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE