Accession Number : ADA133741

Title :   Numerical Methods for Singularly Perturbed Differential Equations with Applications.

Descriptive Note : Interim scientific rept. 1 Jun 82-31 May 83,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Flaherty,Joseph E

PDF Url : ADA133741

Report Date : Jul 1983

Pagination or Media Count : 15

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)

Descriptors :   *Differential equations, *Perturbation theory, *Numerical methods and procedures, Stiffness, Boundary value problems, Vector analysis, Partial differential equations, Nonlinear systems, Abstracts, Rational functions, Vector analysis

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE