Accession Number:

ADA158969

Title:

Numerical Methods for Singularly Perturbed Differential Equations with Applications.

Descriptive Note:

Annual scientific rept. 1 Jun 84-31 May 85,

Corporate Author:

RENSSELAER OBSERVATORY TROY N Y

Personal Author(s):

Report Date:

1985-06-01

Pagination or Media Count:

29.0

Abstract:

During the period covered by this report the investigators continued their research on the development and application of adaptive numerical methods for singularly perturbed initial-boundary value problems for partial differential equations. They continued their analysis of the stability of mesh moving schemes for one-dimensional parabolic problems. Their also developed at moving mesh scheme with local refinement for two-dimensional hyperbolic systems and are considering a similar scheme for parabolic problems. They are applying our methods to several interesting physical problems, such as, elastic-plastic solids, combustion, and a nonlinear Schrodinger equation which exhibits self-focusing. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE