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Nonlinear stability of the relaxing schemes for scalar conservation laws
Tang, HZ
2001-08-01
Source PublicationAPPLIED NUMERICAL MATHEMATICS
ISSN0168-9274
Volume38Issue:3Pages:347-359
AbstractThe purpose of this paper is to study nonlinear stability of the relaxing schemes approximating nonconvex scalar conservation laws, constructed by Jin and Xin [4]. We will establish the maximum principle for a first-order and a second-order relaxing schemes presented in [4], if the initial layer is not introduced. Optimal bounds on the total variation and L-1-boundedness for the above schemes will also be obtained. Specifically, the conserved physical quantity in the relaxing schemes is TVD. The Lipschitz constant of the L-1 continuity in time is shown to be independent of the relaxation parameter epsilon and the time size k. These imply convergence of the above relaxing schemes. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
Keywordthe relaxing schemes maximum principle TVD hyperbolic conservation laws
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000170242800006
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16004
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Tang, HZ. Nonlinear stability of the relaxing schemes for scalar conservation laws[J]. APPLIED NUMERICAL MATHEMATICS,2001,38(3):347-359.
APA Tang, HZ.(2001).Nonlinear stability of the relaxing schemes for scalar conservation laws.APPLIED NUMERICAL MATHEMATICS,38(3),347-359.
MLA Tang, HZ."Nonlinear stability of the relaxing schemes for scalar conservation laws".APPLIED NUMERICAL MATHEMATICS 38.3(2001):347-359.
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