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:

1975-08-01

Pagination or Media Count:

48.0

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