Singular Perturbations and Slow-Mode Approximations for Large Scale Linear Systems.

Abstract

The solutions of large linear systems with slow and fast modes are well approximated away from endpoints by a slow-mode solution. This corresponds to the use of outer solutions as approximate solutions of singular perturbation problems away from boundary layer regions. This paper gives an algorithm for obtaining the slow-mode solutions, and illustrates how the slow and fast components are obtained for the initial value problem. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1978
Accession Number
ADA056504

Entities

People

  • L. R. Anderson
  • R. E. O'malley Jr.

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Boundary Layer
  • Decoupling
  • Engineering
  • Layers
  • Linear Systems
  • Mathematics
  • Mechanical Engineering
  • Military Research
  • Perturbations

Fields of Study

  • Mathematics

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