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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0750349

Entities

People

  • Clarence R. Longcor

Organizations

  • United States Military Academy

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Identities
  • Integrators
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration
  • Real Variables
  • Variational Methods

Readers

  • Atmospheric Science/Meteorology
  • Calculus or Mathematical Analysis
  • Systems Analysis and Design