Nonlinear stability of the relaxing schemes for scalar conservation laws

CSpace

	Nonlinear stability of the relaxing schemes for scalar conservation laws
	Tang, HZ
	2001-08-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	38 期号:3 页码:347-359
摘要	The 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.
关键词	the relaxing schemes maximum principle TVD hyperbolic conservation laws
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000170242800006
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16004
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	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 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.