On Perturbations of Stability Inequalities with an Application to Finite Difference Approximations of ODE's.

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)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1983
Accession Number
ADA134535

Entities

People

  • R. D. Grigorieff

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Differential Equations
  • Eigenvalues
  • Equations
  • Inequalities
  • Mathematics
  • North Carolina
  • Numerical Analysis
  • Perturbations
  • Sequences
  • Theorems
  • United States
  • Universities
  • Vector Spaces
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)