Error bounds for the large time step Glimm scheme applied to scalar conservation laws
文献类型：期刊论文
| 作者 | Huang, JY; Wang, JH; Warnecke, G |
| 刊名 | NUMERISCHE MATHEMATIK
 |
| 出版日期 | 2002-03-01 |
| 卷号 | 91期号:1页码:13-34 |
| ISSN号 | 0029-599X |
| DOI | 10.1007/s002110100335 |
| 英文摘要 | In this paper we derive an L-1 error bound for the large time step. i.e. large Courant number, version of the Glimm scheme when used for the approximation of solutions to a genuinely nonlinear, i.e. convex, scalar conservation law for a generic class of piecewise constant data. We show that the error is bounded by O(Deltax(1/2)\ log Deltax\) for Courant numbers up to 1. The order of the error is the same as that given by Hoff and Smoller [5] in 1985 for the Glimm scheme under the restriction of Courant numbers up to 1/2. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000175110900002 |
| 出版者 | SPRINGER-VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17561]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, JY |
| 作者单位 | 1.Beijing Univ Chem Technol, Beijing 100029, Peoples R China 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Magdeburg, Inst Anal & Numer, D-39016 Magdeburg, Germany |
| 推荐引用方式 GB/T 7714 | Huang, JY,Wang, JH,Warnecke, G. Error bounds for the large time step Glimm scheme applied to scalar conservation laws[J]. NUMERISCHE MATHEMATIK,2002,91(1):13-34. |
| APA | Huang, JY,Wang, JH,&Warnecke, G.(2002).Error bounds for the large time step Glimm scheme applied to scalar conservation laws.NUMERISCHE MATHEMATIK,91(1),13-34. |
| MLA | Huang, JY,et al."Error bounds for the large time step Glimm scheme applied to scalar conservation laws".NUMERISCHE MATHEMATIK 91.1(2002):13-34. |
入库方式： OAI收割
来源：数学与系统科学研究院
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