Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws

doi:10.14492/hokmj/1272848037

科研成果详情

发表状态	已发表Published
题名	Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws
作者	Tang, Tao1 ; Teng, Zhenhuan 2
发表日期	2007
发表期刊	Hokkaido Mathematical Journal
ISSN/eISSN	0385-4035
卷号	36 期号:4 页码:849-874
摘要	In this paper we show that the monotone difference methods with smooth numericalfluxes possess superconvergence property when applied to strictly convex conservation laws with piecewise smooth solutions. More precisely, it is shown that not only the approximation solution converges to the entropy solution, its central difference also converges to the derivative of the entropy solution away from the shocks. © 2007 by the University of Notre Dame. All rights reserved.
关键词	Conservation laws Finite difference Monotone scheme Superconvergence
DOI	10.14492/hokmj/1272848037
URL	查看来源
语种	英语English
引用统计	被引频次[WOS]：0 [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/1826
专题	个人在本单位外知识产出
作者单位	1.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong 2.LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, China
推荐引用方式 GB/T 7714	Tang, Tao,Teng, Zhenhuan. Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws[J]. Hokkaido Mathematical Journal, 2007, 36(4): 849-874.
APA	Tang, Tao, & Teng, Zhenhuan. (2007). Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws. Hokkaido Mathematical Journal, 36(4), 849-874.
MLA	Tang, Tao,et al."Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws". Hokkaido Mathematical Journal 36.4(2007): 849-874.