Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II.

Abstract

Convenient stability criteria are obtained for difference approximations to hyperbolic initial-boundary value problems. The approximations consist of arbitrary basic schemes and a wide class of boundary conditions. The new criteria are given in terms of the outlfow part of the boundary conditions and are independent of the basic scheme. The results easily imply that a number of well known boundary treatments, when used in combination with arbitrary stable basic schemes, always maintain stability. Consequently, many special cases studied in recent literature are generalized. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA089650

Entities

People

  • Eitan Tadmor
  • Moshe Goldberg

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • California
  • Cauchy Problem
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematics
  • Numbers
  • Partial Differential Equations
  • Polynomials
  • Scientific Research
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)