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