Numerical Methods for Singularly Perturbed Differential Equations with Applications.

Abstract

During the period covered by this report we continued our research on the development and application of adaptive numerical methods for singularly perturbed initial-boundary value problems for partial differential equations. We continued our analysis of the stability of mesh moving schemes and developed local refinement and moving mesh schemes for one- and two-dimensional hyperbolic and parabolic problems. We are applying our methods to several interesting physical problems, such as, elastic-plastic solids, combustion, and a nonlinear Schrodinger equation which exhibits self-focusing. Keywords: Bibliographies; Abstracts.

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1986
Accession Number
ADA182707

Entities

People

  • J. E. Flaherty

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Advanced Electronics
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundary Value Problems
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Fluid Dynamics
  • Mathematics
  • New York
  • Partial Differential Equations
  • Two Dimensional
  • United States
  • United States Military Academy

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Technical Research and Report Writing.