Difference approximations for initial boundary-value problems-Reference-Cited by-同舟云学术

Difference approximations for initial boundary-value problems

Published:1971-06-08 Issue:1553 Volume:323 Page:255-261
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

The problem of the stability of difference approximations for initial boundary-value problems is examined and recent results obtained in this field by Gustafsson, Kreiss & Sundström (1971) are presented. It is shown that even for scalar equations the Ryabenkii-Godunow condition is not sufficient for stability and a procedure is outlined which leads to a slightly strengthened form of this condition which is satisfactory in practice.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1971.0101

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