The LIP+-stability and error estimates for a relaxation scheme
文献类型：期刊论文
| 作者 | Liu, HL; Wang, JH; Warnecke, G |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2000-11-10 |
| 卷号 | 38期号:4页码:1154-1170 |
| 关键词 | relaxation scheme convex conservation laws lip(+)-stability maximum principle |
| ISSN号 | 0036-1429 |
| 英文摘要 | We show the discrete lip(+)-stability for a relaxation scheme proposed by Jin and Xin [Comm. Pure Appl. Math., 48 (1995), pp. 235-277] to approximate convex conservation laws. Equipped with the lip(+)-stability we obtain global error estimates in the spaces W-s,W-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 obtained by the relaxation scheme. The proof uses the framework introduced by Nessyahu and Tadmor [SIAM J. Numer. Anal., 29 (1992), pp. 1505-1519]. We also show a maximum principle for the relaxation scheme when the initial data are in an equilibrium state. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000165318700006 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15661]  |
| 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 Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Magdeburg, IAN, D-39016 Magdeburg, Germany |
| 推荐引用方式 GB/T 7714 | Liu, HL,Wang, JH,Warnecke, G. The LIP+-stability and error estimates for a relaxation scheme[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2000,38(4):1154-1170. |
| APA | Liu, HL,Wang, JH,&Warnecke, G.(2000).The LIP+-stability and error estimates for a relaxation scheme.SIAM JOURNAL ON NUMERICAL ANALYSIS,38(4),1154-1170. |
| MLA | Liu, HL,et al."The LIP+-stability and error estimates for a relaxation scheme".SIAM JOURNAL ON NUMERICAL ANALYSIS 38.4(2000):1154-1170. |
入库方式： OAI收割
来源：数学与系统科学研究院
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