Convergence of the Modified Discrete Ordinates Method for the Anisotropic Scattering Transport Equation
文献类型：期刊论文
| 作者 | Zhang, Xin1,2 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2015-09-01 |
| 卷号 | 31期号:9页码:1449-1460 |
| 关键词 | Anisotropic scattering transport equation modified discrete ordinates method norm convergence eigenvalue |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-015-4507-y |
| 英文摘要 | Criticality problem of nuclear tractors generally refers to an eigenvalue problem for the transport equations. In this paper, we deal with the eigenvalue of the anisotropic scattering transport equation in slab geometry. We propose a new discrete method which was called modified discrete ordinates method. It is constructed by redeveloping and improving discrete ordinates method in the space of L-1(X). Different from traditional methods, norm convergence of operator approximation is proved theoretically. Furthermore, convergence of eigenvalue approximation and the corresponding error estimation are obtained by analytical tools. |
| 语种 | 英语 |
| WOS记录号 | WOS:000359011700007 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20519]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Xin |
| 作者单位 | 1.Beijing Union Univ, Dept Basic Courses, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Xin. Convergence of the Modified Discrete Ordinates Method for the Anisotropic Scattering Transport Equation[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2015,31(9):1449-1460. |
| APA | Zhang, Xin.(2015).Convergence of the Modified Discrete Ordinates Method for the Anisotropic Scattering Transport Equation.ACTA MATHEMATICA SINICA-ENGLISH SERIES,31(9),1449-1460. |
| MLA | Zhang, Xin."Convergence of the Modified Discrete Ordinates Method for the Anisotropic Scattering Transport Equation".ACTA MATHEMATICA SINICA-ENGLISH SERIES 31.9(2015):1449-1460. |
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。