THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS
文献类型：期刊论文
| 作者 | Wen, Xin1; Jin, Shi2 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2009 |
| 卷号 | 27期号:1页码:45-67 |
| 关键词 | Liouville equations Hamiltonian preserving schemes Discontinuous potentials l(1)-stability Semiclassical limit |
| ISSN号 | 0254-9409 |
| 英文摘要 | We study the l(1)-stability of a Hamiltonian-preserving scheme, developed in [Jin and Wen, Comm. Math. Sci., 3 (2005), 285-315], for the Liouville equation with a discontinuous potential in one. space dimension. We prove that, for suitable initial data, the scheme is stable in the l(1)-norm under a hyperbolic CFL, condition which is in consistent with the l(1)-convergence results established in [Wen and Jin, SIAM J. Numer. Anal., 46 (2008), 2688-2714] for the same scheme. The stability constant is shown to be independent of the computational time. We also provide a counter example to show that for other initial data, in particular, the measure-valued initial data, the numerical solution may become l(1)-unstable. |
| 资助项目 | Knowledge Innovation Project of the Chinese Academy of Sciences[K5501312S1] ; Knowledge Innovation Project of the Chinese Academy of Sciences[K5502212F1] ; Knowledge Innovation Project of the Chinese Academy of Sciences[K7290312G7] ; Knowledge Innovation Project of the Chinese Academy of Sciences[K7502712F7] ; NSFC[10601062] ; NSF[DMS-0608720] ; NSAF[10676017] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000263626900002 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7389]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wen, Xin |
| 作者单位 | 1.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Wisconsin, Dept Math, Madison, WI 53706 USA |
| 推荐引用方式 GB/T 7714 | Wen, Xin,Jin, Shi. THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(1):45-67. |
| APA | Wen, Xin,&Jin, Shi.(2009).THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(1),45-67. |
| MLA | Wen, Xin,et al."THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.1(2009):45-67. |
入库方式： OAI收割
来源：数学与系统科学研究院
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