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

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

科研成果详情

发表状态	已发表Published
题名	Convergence analysis of relaxation schemes for conservation laws with stiff source terms
作者	Tang, Tao1 ; Teng, Zhenhuan 2; Wang, Jinghua 3
发表日期	2001
发表期刊	Methods and Applications of Analysis
ISSN/eISSN	1073-2772
卷号	8 期号:4 页码:667-680
摘要	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
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语种	英语English
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/4803
专题	个人在本单位外知识产出
作者单位	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
推荐引用方式 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.