Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems

Authors
Yuan, GW Shen, LJ Zhou, YL
Citation
Gw. Yuan et al., Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems, NUMER M P D, 15(6), 1999, pp. 625-636
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
0749159X → ACNP
Volume
15
Issue
6
Year of publication
1999
Pages
625 - 636
Database
ISI
SICI code
0749-159X(199911)15:6<625:USOADS>2.0.ZU;2-P
Abstract
The difference method with intrinsic parallelism for two dimensional parabo lic system is studied. The general alternating difference schemes, in parti cular those with variable time steplengthes, are constructed and proved to be unconditionally stable. The two dimensional alternating group explicit s cheme, alternating block explicit-implicit scheme, alternating block Crank- Nicolson scheme and block ADI scheme are the special cases of the general s chemes constructed here. (C) 1999 John Wiley & Sons, Inc.