Numerical Methods for Singularly Perturbed Differential Equations with Applications.

Abstract

During the period covered by this report, the investigator continued his research on the development and application of numerical methods for singularly-perturbed (or stiff) boundary value problems for ordinary differential equations. Results were obtained for collocation and finite difference methods for scalar and vector systems of two-point boundary value problems and for adaptive grid finite element methods for partial differential equations. His exponentially weighted finite element and spline in tension methods are being applied to partial differential equations as well as to ordinary differential equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1981
Accession Number
ADA105366

Entities

People

  • J. E. Flaherty

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Boundary Value Problems
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Linear Algebra
  • Mathematics
  • New York
  • Numerical Analysis
  • Partial Differential Equations
  • Polynomials
  • Rational Functions
  • United States Military Academy
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra