Third and Fourth Order Accuracy Schemes for Two Dimensional Hyperbolic Equations,

Abstract

In this paper the Lax-Wendroff procedure is extended to the scalar case of a two-dimensional hyperbolic conservation law. Explicit third and fourth order accuracy finite-difference operators are constructed for solving quasi-linear initial value problems. Stability conditions are obtained and are used in numerical computations. The computational results which are presented demonstrate that large amounts of computing time and memory space are saved without loss of accuracy. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1971
Accession Number
AD0736954

Entities

People

  • Gideon Zwas
  • Saul Abarbanel

Organizations

  • Tel Aviv University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Equations
  • Mathematics
  • Stability Conditions
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.

Technology Areas

  • Space