A domain decomposition parallel scheme for the linear dispersive equation u(t)+au(xxx)=0

Authors
Zhu, SH Yuan, GW Shen, LJ
Citation
Sh. Zhu et al., A domain decomposition parallel scheme for the linear dispersive equation u(t)+au(xxx)=0, INT J COM M, 70(4), 1999, pp. 729-738
Citations number
10
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN journal
00207160 → ACNP
Volume
70
Issue
4
Year of publication
1999
Pages
729 - 738
Database
ISI
SICI code
Abstract
In this paper, A domain decomposition parallel scheme for the linear disper sive equation u(t) + au(xxx) = 0 is presented. The stability criteria for t he constructed scheme is derived, and its stability bound is (7 - root 17)/ 2 times that for the explicit method. Numerical experiments demonstrate the theoretic result is sharp.