RELATIVE INVARIANTS AND CLOSURE

Abstract

One of the basic problems of mathematical physics is that of replacing a nonlinear functional equation by a more tractable (analytically and computationally) linear equation. More generally, one wants to replace a system of nonlinear equations, often derived from a single equation by means of an expansion in a parameter, an ortho gonal expansion with a system of linear functional equations. To treat this closure problem, the authors presented a method based upon the concept of relative invariants and the use of the multidimensional Lagrange expansion theorem.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1964
Accession Number
AD0607795

Entities

People

  • John M. Richardson
  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Hard Copy
  • Mathematics
  • New York
  • Nonlinear Differential Equations
  • Partial Differential Equations
  • Physics
  • Power Series
  • Radiative Transfer
  • Simultaneous Equations
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis