On the Conservation and Convergence to Weak Solutions of Global Schemes

Abstract

In this paper we discuss the issue of conservation and convergence to weak solutions of several global schemes including the commonly used compact schemes and spectral collocation schemes, for solving hyperbolic conservation laws. It is shown that such schemes, if convergent boundedly almost everywhere, will converge to weak solutions. The results are extensions of the classical Lax-Wendroff theorem concerning conservative schemes.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2001
Accession Number
ADB276901

Entities

People

  • Chi-Wang Shu
  • David Gottlieb
  • Mark H. Carpenter

Organizations

  • National Aeronautics and Space Administration

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundaries
  • Classification
  • Coefficients
  • Contracts
  • Convergence
  • Equations
  • Galerkin Method
  • Information Operations
  • Intervals
  • Low Pass Filters
  • Mathematics
  • Polynomials
  • Universities
  • Viscosity
  • Wind Direction

Fields of Study

  • Mathematics

Readers

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