Computer Algebraic Manipulation for the Calculus of Variations, The Maximum Principle, and Automatic Control

Abstract

This report describes how to use a computer algebra system such as MACSYMA to slve variational optimization problems analytically. For a calculate of variations problem, the user merely provides expressions for the integrand of the functional and any constraints. From these expressions, a program derives the specific Euler-Lagrange equations together with first integrals when the augmented functional is free of the independent and/or any dependent variables. Other programs may then be used to construct families of analytical solutions to these differential equations and to obtain the particular solutions that satisfy given boundary conditions.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1974
Accession Number
ADA954773

Entities

People

  • David R. Stoutemyer

Organizations

  • University of HawaiĘ»i System

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Celestial Mechanics
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Communications
  • Computer Programs
  • Computers
  • Control Systems
  • Differential Equations
  • Equations
  • Equations Of State
  • Language
  • Partial Differential Equations
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Database Systems and Applications