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发表状态已发表Published
题名On numerical entropy inequalities for a class of relaxed schemes
作者
发表日期2001
发表期刊Quarterly of Applied Mathematics
ISSN/eISSN0033-569X
卷号59期号:2页码:391-399
摘要

In [4], Jin and Xin developed a class of first- and second-order relaxing schemes for nonlinear conservation laws. They also obtained the relaxed schemes for conservation laws by using a Hilbert expansion for the relaxing schemes. The relaxed schemes were proved to be total variational diminishing (TVD) in the zero relaxation limit for scalar equations. In this paper, by properly choosing the numerical entropy flux, we show that the relaxed schemes also satisfy the entropy inequalities. As a consequence, the L1 convergence rate of O (√Δt) for the relaxed schemes can be established.

关键词Hyperbolic conservation laws Numerical entropy inequality Relaxed schemes Relaxing schemes
DOI10.1090/qam/1828460
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000168508500009
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被引频次:3[WOS]   [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/2060
专题个人在本单位外知识产出
通讯作者Tang, Huazhong
作者单位
1.State key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, Academia Sinica, Beijing 100080, P. R. China
2.Dept. of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
3.Institute of Systems Science, Academia Sinica, Beijing 100080, P. R. China
推荐引用方式
GB/T 7714
Tang, Huazhong,Tang, Tao,Wang, Jinghua. On numerical entropy inequalities for a class of relaxed schemes[J]. Quarterly of Applied Mathematics, 2001, 59(2): 391-399.
APA Tang, Huazhong, Tang, Tao, & Wang, Jinghua. (2001). On numerical entropy inequalities for a class of relaxed schemes. Quarterly of Applied Mathematics, 59(2), 391-399.
MLA Tang, Huazhong,et al."On numerical entropy inequalities for a class of relaxed schemes". Quarterly of Applied Mathematics 59.2(2001): 391-399.
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