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):

Report Date:

1983-07-01

Pagination or Media Count:

15.0

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

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE