Remarks on the Courant-Friedrichs-Lewy Condition(Theory)

DOI Web Site

Bibliographic Information

Other Title
  • Courant-Friedrichs-Lewy条件についての注意(理論)
  • Courant-Friedrichs-Lewy条件についての注意
  • Courant-Friedrichs-Lewy ジョウケン ニ ツイテ ノ チュウイ

Search this article

Abstract

The Courant-Friedrichs-Lewy condition (CFL condition) is one of the most important concepts in the analysis of the finite difference method applied to linear hyperbolic partial differential equations. It is sometimes misunderstood as a sufficient condition for stability of difference schemes, although it is a necessary condition for convergence. We note, in this study, the proper meaning of the CFL condition and show numerical instability of a finite difference scheme even under the CFL condition. We also show the variety of numerical instability within computing environments based on IEEE754.

Journal

Details 詳細情報について

Report a problem

Back to top