Accession Number : ADA017997

Title :   Collocation Methods for Singular Boundary Value Problems.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : DE Hoog,Frank R. ; Weiss,Richard

Report Date : AUG 1975

Pagination or Media Count : 48

Abstract : The application of collocation methods based on piecewise polynomials to the numerical solution of boundary value problems for systems of ordinary differential equations with a singularity of the first kind is examined. The schemes are shown to be stable and convergent. Enhanced accuracy at the nodes for suitably chosen collocation points (superconvergence) is established for a class of important problems. (Author)

Descriptors :   *BOUNDARY VALUE PROBLEMS, *CONVERGENCE, NUMERICAL ANALYSIS, DIFFERENTIAL EQUATIONS, POLYNOMIALS, STABILITY

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE