INVARIANT IMBEDDING AND THE NUMERICAL INTEGRATION OF BOUNDARY-VALUE PROBLEMS FOR UNSTABLE LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS,

Abstract

In such diverse areas as radiative transfer in planetary atmospheres and optimal guidance and control, two-point boundary-value problems for unstable systems arise, greatly complicating the numerical solution. An invariant imbedding technique is presented which is useful in overcoming these frequently encountered instabilities, and the results of some numerical experiments are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0624123

Entities

People

  • Harriet H. Kagiwada
  • Richard E. Bellman
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Atmospheres
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Guidance
  • Instability
  • Linear Systems
  • Mathematical Analysis
  • Numerical Integration
  • Planetary Atmospheres
  • Radiative Transfer

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra
  • Systems Analysis and Design