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The LIP+-stability and error estimates for a relaxation scheme
Liu, HL; Wang, JH; Warnecke, G
2000-11-10
Source PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN0036-1429
Volume38Issue:4Pages:1154-1170
AbstractWe 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.
Keywordrelaxation scheme convex conservation laws lip(+)-stability maximum principle
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000165318700006
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15662
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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