Analytic Methods for the Approximate Solution of Singularly Perturbed Systems.

Abstract

This presentation surveys the singular perturbation technique for initial value problems for large systems of ordinary differential equations. A decoupling transformation to separate fast from slow modes of unforced systems is introduced, and approximations based on the singular perturbation methodology are developed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1980
Accession Number
ADA091907

Entities

People

  • Robert E. O'malley Jr.

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Chemical Kinetics
  • Dynamics
  • Eigenvalues
  • Enzyme Kinetics
  • Equations
  • Intervals
  • Kinetics
  • Layers
  • Linear Systems
  • Nonlinear Systems
  • Numerical Integration
  • Riccati Equation
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)