The LIP+-stability and error estimates for a relaxation scheme

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	The LIP+-stability and error estimates for a relaxation scheme
	Liu, HL ; Wang, JH ; Warnecke, G
	2000-11-10
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	38 期号:4 页码:1154-1170
摘要	We show the discrete lip(+)-stability for a relaxation scheme proposed by Jin and Xin [Comm. Pure Appl. Math., 48 (1995), pp. 235-277] to approximate convex conservation laws. Equipped with the lip(+)-stability we obtain global error estimates in the spaces W-s,W-p for -1 less than or equal to s less than or equal to 1/p, 1 less than or equal to p less than or equal to infinity and pointwise error estimates for the approximate solution obtained by the relaxation scheme. The proof uses the framework introduced by Nessyahu and Tadmor [SIAM J. Numer. Anal., 29 (1992), pp. 1505-1519]. We also show a maximum principle for the relaxation scheme when the initial data are in an equilibrium state.
关键词	relaxation scheme convex conservation laws lip(+)-stability maximum principle
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000165318700006
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15662
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, HL
作者单位	1.Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Magdeburg, IAN, D-39016 Magdeburg, Germany
推荐引用方式 GB/T 7714	Liu, HL,Wang, JH,Warnecke, G. The LIP+-stability and error estimates for a relaxation scheme[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2000,38(4):1154-1170.
APA	Liu, HL,Wang, JH,&Warnecke, G.(2000).The LIP+-stability and error estimates for a relaxation scheme.SIAM JOURNAL ON NUMERICAL ANALYSIS,38(4),1154-1170.
MLA	Liu, HL,et al."The LIP+-stability and error estimates for a relaxation scheme".SIAM JOURNAL ON NUMERICAL ANALYSIS 38.4(2000):1154-1170.