KMS Of Academy of mathematics and systems sciences, CAS
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. |
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