The Stability of One-Step Schemes for First-Order Two-Point Boundary Value Problems.

Abstract

The stability of a finite difference scheme is related explicitly to the stability of the continuous problem being solved. At times, this gives materially better estimates for the stability constant than those obtained by the standard process of appealing to the stability of the numerical scheme for the associated initial value problem. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1982
Accession Number
ADA125240

Entities

People

  • C. De Boor
  • F. De Hoog
  • H. B. Keller

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Classification
  • Contracts
  • Difference Equations
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Intervals
  • Mathematics
  • New York
  • North Carolina
  • Numerical Analysis
  • Real Variables
  • Standards
  • Step Functions
  • United States

Fields of Study

  • Mathematics

Readers

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