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

被引：7
|
作者：
Yuan, GW [1 ]
Shen, LJ [1 ]
Zhou, YL [1 ]
机构：
[1] Inst Appl Phys & Computat Math, Ctr Nonlinear Studies, Lab Computat Phys, Beijing 100088, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 1999年 / 15卷 / 06期
关键词：
stability; alternating difference schemes; intrinsic parallelism; parabolic systems;
D O I：
10.1002/(SICI)1098-2426(199911)15:6<625::AID-NUM2>3.3.CO;2-F
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The difference method with intrinsic parallelism for two dimensional parabolic system is studied. The general alternating difference schemes, in particular those with variable time steplengthes, are constructed and proved to be unconditionally stable. The two dimensional alternating group explicit scheme, alternating block explicit-implicit scheme, alternating block Crank-Nicolson scheme and block ADI scheme are the special cases of the general schemes constructed here. (C) 1999 John Wiley & Sons, Inc.
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页码：625 / 636
页数：12
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