Accession Number : ADA189786

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

Descriptive Note : Annual rept. 1 Jun 86-31 May 87,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY DEPT OF COMPUTER SCIENCE

Personal Author(s) : Flaherty, Joseph E

PDF Url : ADA189786

Report Date : May 1987

Pagination or Media Count : 12

Abstract : Research was continued on the development and applications of adaptive numerical methods for singularly perturbed initial-boundary value problems for partial differential equations. Analysis is made of mesh moving schemes, examined local refinement methods, and developed a posteriori error estimation technique for none-and-two-dimensional hyperbolic and parabolic problems. Development has begun on parallel versions of some adaptive procedures. These methods are applied to several interesting physical problems, that arise in, e.g., elastic-plastic deformation, combustion, and fluid mechanics.

Descriptors :   *NUMERICAL METHODS AND PROCEDURES, *PARTIAL DIFFERENTIAL EQUATIONS, *PERTURBATIONS, ADAPTATION, ADAPTIVE SYSTEMS, BOUNDARY VALUE PROBLEMS, COMBUSTION, ELASTIC PROPERTIES, ERRORS, ESTIMATES, FLUID MECHANICS, MESH, MOTION, PARABOLAS, PHYSICAL PROPERTIES, PLASTIC PROPERTIES, PLASTIC DEFORMATION, TWO DIMENSIONAL, FINITE ELEMENT ANALYSIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE