ON APPROXIMATING EXTREMALS OF FUNCTIONALS. PART II. THEORY AND GENERALIZATIONS RELATED TO BOUNDARY VALUE PROBLEMS FOR NON-LINEAR DIFFERENTIAL EQUATIONS.

Abstract

A combination variational-difference numerical method, applied recently to a large variety of nonlinear boundary value problems, is studied from the points of view of convergence and possible generalizations. The essence of the method lies in minimizing a functional numerically rather than in approximating the solution of the Euler differential equation of the functional. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0648191

Entities

People

  • Donald Greenspan

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)