发表状态 | 已发表Published |
题名 | Stability condition for difference schemes for parabolic systems |
作者 | |
发表日期 | 2001 |
发表期刊 | SIAM Journal on Numerical Analysis
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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 | |
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. |
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