THE L-1-ERROR ESTIMATES FOR A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH PIECEWISE CONSTANT POTENTIALS AND PERTURBED INITIAL DATA
文献类型：期刊论文
| 作者 | Wen, Xin |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2011 |
| 卷号 | 29期号:1页码:26-48 |
| 关键词 | Liouville equations Hamiltonian preserving schemes Piecewise constant potentials Error estimate Perturbed initial data Semiclassical limit |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.1006-m3057 |
| 英文摘要 | We study the L-1-error of a Hamiltonian-preserving scheme, developed in [19], for the Liouville equation with a piecewise constant potential in one space dimension when the initial data is given with perturbation errors. We extend the l(1)-stability analysis in [46] and apply the L-1-error estimates with exact initial data established in [45] for the same scheme. We prove that the scheme with the Dirichlet incoming boundary conditions and for a class of bounded initial data is L-1-convergent when the initial data is given with a wide class of perturbation errors, and derive the L-1-error bounds with explicit coefficients. The convergence rate of the scheme is shown to be less than the order of the initial perturbation error, matching with the fact that the perturbation solution can be L-1-unstable. |
| 语种 | 英语 |
| WOS记录号 | WOS:000286296700003 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12629]  |
| 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 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wen, Xin. THE L-1-ERROR ESTIMATES FOR A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH PIECEWISE CONSTANT POTENTIALS AND PERTURBED INITIAL DATA[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2011,29(1):26-48. |
| APA | Wen, Xin.(2011).THE L-1-ERROR ESTIMATES FOR A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH PIECEWISE CONSTANT POTENTIALS AND PERTURBED INITIAL DATA.JOURNAL OF COMPUTATIONAL MATHEMATICS,29(1),26-48. |
| MLA | Wen, Xin."THE L-1-ERROR ESTIMATES FOR A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH PIECEWISE CONSTANT POTENTIALS AND PERTURBED INITIAL DATA".JOURNAL OF COMPUTATIONAL MATHEMATICS 29.1(2011):26-48. |
入库方式： OAI收割
来源：数学与系统科学研究院
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