Boundedness of dispersive difference schemes-Reference-Cited by-同舟云学术

Boundedness of dispersive difference schemes

Published:1990 Issue:191 Volume:55 Page:55-87
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Estep Donald,Loss Michael,Rauch Jeffrey

Abstract

The pointwise behavior of dispersive difference schemes for the simple wave equation in one dimension is analyzed. If the initial data are in certain Besov spaces, the scheme is shown to be pointwise unbounded. Boundedness is shown when the initial data are of bounded variation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1990-55-191/S0025-5718-1990-1023047-5/S0025-5718-1990-1023047-5.pdf

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