Accession Number:

ADA235188

Title:

Numerical Methods for Singularly Perturbed Differential Equations with Applications.

Descriptive Note:

Final rept. 1 Jun 1985-31 Aug 1990

Corporate Author:

RENSSELAER POLYTECHNIC INST TROY NY DEPT OF COMPUTER SCIENCE

Personal Author(s):

• Flaherty, Joseph E.

Report Date:

1990-08-31

Pagination or Media Count:

10.0

Abstract:

During the period covered by this grant, we conducted research on the development and application of adaptive numerical methods for singularly perturbed initial-boundary value problems for partial differential equations. We studied both local refinement methods and methods of lines techniques using properly nested and overlapping grids. The geometric modeling capabilities of our procedures were improved through the use of finite quadtree and octree encoding schemes parallel versions of adaptive procedures on shared-memory computers were developed and variable-order finite element methods to be used with adaptive p- and hp-refinement were created.

Descriptors:

• *MODELS
• CODING
• GEOMETRIC FORMS
• BOUNDARY VALUE PROBLEMS
• ADAPTIVE SYSTEMS
• REFINING
• DIFFERENTIAL EQUATIONS
• PERTURBATION THEORY
• PERTURBATIONS
• NUMERICAL METHODS AND PROCEDURES
• ADAPTATION
• GRIDS
• PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE