Stability condition for difference schemes for parabolic systems

Authors
Sun, WW Yuan, GW
Citation
Ww. Sun et Gw. Yuan, Stability condition for difference schemes for parabolic systems, SIAM J NUM, 38(2), 2000, pp. 548-555
Citations number
7
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
38
Issue
2
Year of publication
2000
Pages
548 - 555
Database
ISI
SICI code
0036-1429(20000810)38:2<548:SCFDSF>2.0.ZU;2-J
Abstract
Recently, Goldberg studied in [M. Goldberg, SIAM J. Numer. Anal., 35 (1998) , pp. 478-493, M. Goldberg, SIAM J. Numer. Anal., 35 (1998), pp. 1995-2003] stability conditions of a well-known family of difference schemes for the following multidimensional parabolic system of second order: [GRAPHICS] Here we present a modified stability condition for the above problem, and p rove that this condition is optimal in some sense.