Stable difference schemes with uneven mesh spacings-Reference-Cited by-同舟云学术

Stable difference schemes with uneven mesh spacings

Published:1971 Issue:114 Volume:25 Page:219-227
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Ciment Melvyn

Abstract

We consider a finite-difference approximation to the Cauchy problem for a firstorder hyperbolic partial differential equation using different mesh spacings in different portions of the domain. By reformulating our problem as a difference approximation to an initial-boundary value problem, we are able to use the theory of H. O. Kreiss and S. Osher to analyze the L 2 {L_2} stability of our scheme.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1971-25-114/S0025-5718-1971-0300470-3/S0025-5718-1971-0300470-3.pdf

Reference7 articles.

1. M. Ciment, Stable Difference Schemes With Uneven Mesh Spacings, A.E.C. Research and Development Report #NYO-1480-100, Ph.D. Thesis, New York University, New York, 1968.

2. Difference approximations for the initial-boundary value problem for hyperbolic differential equations;Kreiss, Heinz-Otto,1966

3. Stability theory for difference approximations of mixed initial boundary value problems. I;Kreiss, Heinz-Otto;Math. Comp.,1968

4. Difference schemes for hyperbolic equations with high order of accuracy;Lax, Peter D.;Comm. Pure Appl. Math.,1964

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