Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation
文献类型：期刊论文
| 作者 | Liu, HL; Wang, JH; Warnecke, G |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2001-09-01 |
| 卷号 | 134期号:1-2页码:343-367 |
| 关键词 | Ruijgrok-Wu model splitting scheme convergence stability |
| ISSN号 | 0377-0427 |
| 英文摘要 | This paper deals with upwind splitting schemes for the Ruijgrok-Wu model (Physica A 113 (1982) 401-416) of the kinetic theory of rarefied gases in the fluid-dynamic scaling. We prove the stability and the convergence for these schemes. The relaxation limit is also investigated and the limit equation is proved to be a first-order quasi-linear conservation law. The loss of quasi-monotonicity of the present model makes it necessary to give a more careful analysis of its structure. We also obtain global error estimates in the spaces Ws-p for -1 less than or equal to s less than or equal to 1/p, 1 less than or equal to p less than or equal to infinity and pointwise error estimates for the approximate solution. The proof naturally uses the framework introduced by Nessyahu and Tadmor (SIAM J. Numer Anal. 29 (1992) 1505-1519) due to the convexity of the flux function. (C) 2001 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000170719000022 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16270]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, HL |
| 作者单位 | 1.Univ Magdeburg, IAN, D-39016 Magdeburg, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, HL,Wang, JH,Warnecke, G. Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2001,134(1-2):343-367. |
| APA | Liu, HL,Wang, JH,&Warnecke, G.(2001).Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,134(1-2),343-367. |
| MLA | Liu, HL,et al."Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 134.1-2(2001):343-367. |
入库方式： OAI收割
来源：数学与系统科学研究院
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