Accession Number:

AD0750349

Title:

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

Descriptive Note:

Corporate Author:

MILITARY ACADEMY WEST POINT N Y

Personal Author(s):

• Longcor,Clarence R.

Report Date:

1972-01-01

Pagination or Media Count:

15.0

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