Accession Number : ADA190819

Title :   Distributional Convergence of BDF (Backward Differentiation Formulas) Approximations to Solutions of Descriptor Systems.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTA TION

Personal Author(s) : Campbell, Stephen L

PDF Url : ADA190819

Report Date : 10 Nov 1987

Pagination or Media Count : 8

Abstract : It has been frequently observed that the backward differentiation approximation of the solutions of Ex' + Fx = f can fail to converge even pointwise in an initial boundary layer. This note shows that the approximations converge in a distributional sense even if the exact solution is also distributional. Keywords: Matrices; Convergence; Approximation.

Descriptors :   *APPROXIMATION(MATHEMATICS), *CONVERGENCE, BOUNDARY LAYER, SOLUTIONS(GENERAL), MATRICES(MATHEMATICS), DISTRIBUTION

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE