Finite Difference Schemes for Conservation Laws.

Abstract

We study finite difference approximations to weak solutions of the Cauchy problem for hyperbolic systems of conservation laws in one space dimension. We establish stability in the total variation norm and convergence for a class of hybridized schemes which employ the random choice scheme together with perturbations of classical conservative schemes. We also establish partial stability results for classical conservative schemes. Our approach is based on an analysis of finite difference operators on local and global wave configurations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1980
Accession Number
ADA096656

Entities

People

  • Ronald J. Diperna

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Cauchy Problem
  • Coefficients
  • Computational Science
  • Computations
  • Contour Integrals
  • Convergence
  • Eigenvalues
  • Equations
  • Fluid Dynamics
  • Integrals
  • Mathematics
  • Perturbations
  • Shock
  • Shock Waves
  • United States
  • Waves
  • Wisconsin

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space