ON APPROXIMATING EXTREMALS OF FUNCTIONALS. PART I: THE METHOD AND EXAMPLES FOR BOUNDARY VALUE PROBLEMS,

Abstract

A new numerical method for a class of nonlinear boundary value problems is described and a variety of examples are presented to indicate its potential value. The essential idea is to apply finite difference methods to a functional rather than to the Euler differential equation of that functional. Applications are made to problems in minimal surfaces, geodesics, and subsonic flows, which were previously inaccessible. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1964
Accession Number
AD0437288

Entities

People

  • Donald Greenspan

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Flow
  • Geodesics
  • Mathematical Analysis
  • Mathematics
  • Subsonic Flow

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Operations Research
  • Systems Analysis and Design