
Accession Number : ADA134535
Title : On Perturbations of Stability Inequalities with an Application to Finite Difference Approximations of ODE's.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Grigorieff,R D
PDF Url : ADA134535
Report Date : Sep 1983
Pagination or Media Count : 15
Abstract : In the framework of Stummel's discrete approximation theory, a perturbation theorem for inverse stability inequalities is proven. As an application, the inverse stability of compact finite difference schemes approximating twopoint boundary value problems for linear ordinary differential equations on nonuniform grids is established. (Author)
Descriptors : *Boundary value problems, *Finite difference theory, Perturbation theory, Approximation(Mathematics), Inequalities, Stability, Differential equations
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE