A posteriori error estimates for Markov approximations of Frobenius-Perron operators
文献类型：期刊论文
| 作者 | Ding, Jiu; Jin, Congming; Zhou, Aihui |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2007-08-01 |
| 卷号 | 67期号:3页码:763-772 |
| 关键词 | Frobenius-Perron operator invariant measure Markov approximation error estimates |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2006.06.028 |
| 英文摘要 | We present lower and upper error bounds under the BV-norm for piecewise linear Markov finite approximations to Frobenius-Perron operators in terms of the BV-norm of the residuals, so that a posteriori error estimates can be given. Numerical results using the Monte Carlo implementation are presented to support the theoretical analysis. (C) 2006 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000246772400008 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4122]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ding, Jiu |
| 作者单位 | 1.Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Jiu,Jin, Congming,Zhou, Aihui. A posteriori error estimates for Markov approximations of Frobenius-Perron operators[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2007,67(3):763-772. |
| APA | Ding, Jiu,Jin, Congming,&Zhou, Aihui.(2007).A posteriori error estimates for Markov approximations of Frobenius-Perron operators.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,67(3),763-772. |
| MLA | Ding, Jiu,et al."A posteriori error estimates for Markov approximations of Frobenius-Perron operators".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 67.3(2007):763-772. |
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。