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 UNIV-MADISON 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 two-point 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