Convergence of the modified discrete ordinates method for the anisotropic scattering transport equation |
| |
Authors: | Xin Zhang |
| |
Institution: | 1. Department of Basic Courses, Beijing Union University, Beijing 100101, P. R. China;
2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China |
| |
Abstract: | 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 L1(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. |
| |
Keywords: | Anisotropic scattering transport equation modified discrete ordinates method norm convergence eigenvalue |
本文献已被 CNKI SpringerLink 等数据库收录! |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学学报(英文版)》下载免费的PDF全文 |