On numerical entropy inequalities for a class of relaxed schemes

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	On numerical entropy inequalities for a class of relaxed schemes
	Tang, HZ ; Tang, T ; Wang, JH
	2001-06-01
发表期刊	QUARTERLY OF APPLIED MATHEMATICS
ISSN	0033-569X
卷号	59 期号:2 页码:391-399
摘要	In [4], Jin and Xin developed a class of first- and second-order relaxing schemes for nonlinear conservation laws. They also obtained the relaxed schemes for conservation laws by using a Hilbert expansion for the relaxing schemes. The relaxed schemes were proved to be total variational diminishing (TVD) in the zero relaxation limit for scalar equations. In this paper, by properly choosing the numerical entropy flux, we show that the relaxed schemes also satisfy the entropy inequalities. As a consequence, the L-1 convergence rate of O(root Deltat) for the relaxed schemes can be established.
关键词	relaxing schemes relaxed schemes numerical entropy inequality hyperbolic conservation laws
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000168508500009
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16037
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, HZ
作者单位	1.Acad Sinica, Inst COmputat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China 3.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, HZ,Tang, T,Wang, JH. On numerical entropy inequalities for a class of relaxed schemes[J]. QUARTERLY OF APPLIED MATHEMATICS,2001,59(2):391-399.
APA	Tang, HZ,Tang, T,&Wang, JH.(2001).On numerical entropy inequalities for a class of relaxed schemes.QUARTERLY OF APPLIED MATHEMATICS,59(2),391-399.
MLA	Tang, HZ,et al."On numerical entropy inequalities for a class of relaxed schemes".QUARTERLY OF APPLIED MATHEMATICS 59.2(2001):391-399.