中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
DOI10.4208/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

浏览0
下载0
收藏0
其他版本

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。