On numerical entropy inequalities for a class of relaxed schemes
文献类型：期刊论文
| 作者 | Tang, HZ; Tang, T; Wang, JH |
| 刊名 | QUARTERLY OF APPLIED MATHEMATICS
 |
| 出版日期 | 2001-06-01 |
| 卷号 | 59期号:2页码:391-399 |
| 关键词 | relaxing schemes relaxed schemes numerical entropy inequality hyperbolic conservation laws |
| ISSN号 | 0033-569X |
| 英文摘要 | 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 L-1 convergence rate of O(root Deltat) for the relaxed schemes can be established. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000168508500009 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16036]  |
| 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 | 1.Acad Sinica, Inst COmputat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China 3.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, HZ,Tang, T,Wang, JH. On numerical entropy inequalities for a class of relaxed schemes[J]. QUARTERLY OF APPLIED MATHEMATICS,2001,59(2):391-399. |
| APA | Tang, HZ,Tang, T,&Wang, JH.(2001).On numerical entropy inequalities for a class of relaxed schemes.QUARTERLY OF APPLIED MATHEMATICS,59(2),391-399. |
| MLA | Tang, HZ,et al."On numerical entropy inequalities for a class of relaxed schemes".QUARTERLY OF APPLIED MATHEMATICS 59.2(2001):391-399. |
入库方式： OAI收割
来源：数学与系统科学研究院
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