Accession Number : ADA117111

Title :   Asymptotic and Numerical Methods for Vector Systems of Singularly-Perturbed Boundary Value Problems.

Descriptive Note : Technical rept.,

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

Personal Author(s) : Flaherty,Joseph E ; O'Malley,Robert E , Jr

PDF Url : ADA117111

Report Date : Apr 1982

Pagination or Media Count : 15

Abstract : Procedures are developed for constructing asymptotic solutions for certain nonlinear singularly-perturbed vector two-point boundary value, problems having boundary layers at one or both end points. The asymptotic approximations are generated numerically and can either be used as is or to furnish a two-point boundary value code (e.g. COLSYS) with an initial approximation and a nonuniform computational mesh. The procedures are applied to several examples involving the deformation of nonlinear elastic beams. (Author)

Descriptors :   *Boundary value problems, *Asymptotic normality, *Numerical methods and procedures, *Vector analysis, Points(Mathematics), Solutions(General), Perturbations, Approximation(Mathematics), Nonlinear analysis, Deformation

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE