Convergence analysis of relaxation schemes for conservation laws with stiff source terms

doi:10.4310/MAA.2001.v8.n4.a15

Details of Research Outputs

Status	已发表Published
Title	Convergence analysis of relaxation schemes for conservation laws with stiff source terms
Creator	Tang, Tao1 ; Teng, Zhenhuan 2; Wang, Jinghua 3
Date Issued	2001
Source Publication	Methods and Applications of Analysis
ISSN	1073-2772
Volume	8 Issue:4 Pages:667-680
Abstract	We analyze the convergence for relaxation approximation applied to conservation laws with stiff source terms. We suppose that the source term q(u) is dissipative. Semi-implicit relaxing schemes are investigated and the corresponding stability theory is established. In particular, we proved that the numerical solution of a first-order relaxing scheme is uniformlly l∞, l 1 and TVstable, in the sense that they can be bounded by a constant independent of the the relaxation parameter and the the Lipschitz constant of the stiff source term, and time step ∆t. Concergence of the relaxing scheme is then established. The results obtained for the first-order relaxing scheme can be extended to MUSCL relaxing schemes.
DOI	10.4310/MAA.2001.v8.n4.a15
URL	View source
Language	英语English
Citation statistics	Cited Times [WOS]:0 [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/4803
Collection	Research outside affiliated institution
Affiliation	1.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong; 2.Department of Mathematics, Peking University, Beijing, China; 3.Institute of System Science, Academia Sincia, Beijing, China
Recommended Citation GB/T 7714	Tang, Tao,Teng, Zhenhuan,Wang, Jinghua. Convergence analysis of relaxation schemes for conservation laws with stiff source terms[J]. Methods and Applications of Analysis, 2001, 8(4): 667-680.
APA	Tang, Tao, Teng, Zhenhuan, & Wang, Jinghua. (2001). Convergence analysis of relaxation schemes for conservation laws with stiff source terms. Methods and Applications of Analysis, 8(4), 667-680.
MLA	Tang, Tao,et al."Convergence analysis of relaxation schemes for conservation laws with stiff source terms". Methods and Applications of Analysis 8.4(2001): 667-680.

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