Problem in Stability Analysis of Finite Difference Schemes for Hyperbolic Systems.

Abstract

The research consists mainly of generalizing previous work to obtain new, easily checkable stability criteria for general, dissipative or nondissipative, explicit or implicit difference approximations to hyperbolic mixed initial-boundary value problems. The criteria obtained are independent of the basic scheme and are given solely in terms of the boundary conditions; thus they are significantly more convenient than traditional criteria. The results imply that many well known boundary conditions, when used in combination with arbitrary dissipative or nondissipative schemes, always maintain stability.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA078853

Entities

People

  • Moshe Goldberg

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Approximation (Mathematics)
  • Boundaries
  • Boundary Value Problems
  • California
  • Classification
  • Extrapolation
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Security
  • Universities

Fields of Study

  • Mathematics

Readers

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