Numerical Methods for Singularly Perturbed Differential Equations with Applications.

Abstract

During the period covered by this report the investigators continued their research on the development and application of numerical methods for singularly-perturbed (or stiff) boundary value problems for ordinary differential equations and initial-boundary value problems for partial differential equations. Results were obtained for collocation methods for vector systems of two-point boundary value problems and for adaptive grid finite element methods to several interesting physical problems, such as, the deformation of nonlinear elastic and plastic beams and a nonlinear Schrodinger equation which exhibits self focusing. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1983
Accession Number
ADA133741

Entities

People

  • J. E. Flaherty

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Boundary Value Problems
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Mathematics
  • New York
  • Partial Differential Equations
  • Rational Functions
  • Schrodinger Equation
  • Scientific Research
  • Universities
  • Workshops

Fields of Study

  • Mathematics

Readers

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