Numerical Methods for Singularly Perturbed Differential Equations with Applications

Abstract

During the course of this grant algorithms were developed and analyzed for the numerical solution of singularly-perturbed (or stiff) initial value and boundary value problems for ordinary differential equations and initial-boundary value problems for partial differential equations. These general purpose methods have been applied to a wide variety of problems arising in several disciplines, including optimization and optimal control, nonlinear oscillations, chemical reactions, and hydrodynamic stability. Keywords: Computations, Plane poiseville flow, Viscous flow.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1980
Accession Number
ADA207187

Entities

People

  • J. E. Flaherty

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Computations
  • Differential Equations
  • Equations
  • Equations Of State
  • Mathematics
  • New York
  • Partial Differential Equations
  • Perturbation Theory
  • Perturbations
  • Universities
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

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