Stability condition for difference schemes for parabolic systems

doi:10.1137/S0036142998348182

科研成果详情

发表状态	已发表Published
题名	Stability condition for difference schemes for parabolic systems
作者	Sun, Weiwei1 ; Yuan, Guangwei 2
发表日期	2001
发表期刊	SIAM Journal on Numerical Analysis
ISSN/eISSN	0036-1429
卷号	38 期号:2 页码:548-555
摘要	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: ∂(x, t)/∂t=∑1≤p≤q≤8 Apq∂2u(x, t)/∂cursive chip∂cursive chiq+∑1≤p≤8Bp∂u(x, t)/∂cursive chip+Cu(x, t). Here we present a modified stability condition for the above problem, and prove that this condition is optimal in some sense.
关键词	Difference schemes Parabolic systems Stability
DOI	10.1137/S0036142998348182
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000088832000010
引用统计	被引频次：5[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/3299
专题	个人在本单位外知识产出
通讯作者	Sun, Weiwei
作者单位	1.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong 2.Laboratory of Computational Physics, Inst. Appl. Phys. and Compl. Math., Beijing, 100088, P. O. Box 8009, China
推荐引用方式 GB/T 7714	Sun, Weiwei,Yuan, Guangwei. Stability condition for difference schemes for parabolic systems[J]. SIAM Journal on Numerical Analysis, 2001, 38(2): 548-555.
APA	Sun, Weiwei, & Yuan, Guangwei. (2001). Stability condition for difference schemes for parabolic systems. SIAM Journal on Numerical Analysis, 38(2), 548-555.
MLA	Sun, Weiwei,et al."Stability condition for difference schemes for parabolic systems". SIAM Journal on Numerical Analysis 38.2(2001): 548-555.