Convergence of the Modified Discrete Ordinates Method for the Anisotropic Scattering Transport Equation  

作　　者：Xin ZHANG 

机构地区：[1]Department of Basic Courses, Beijing Union University [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences

出　　处：《Acta Mathematica Sinica,English Series》2015年第9期1449-1460,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11201007)

摘　　要：Criticality problem of nuclear tractors generMly 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.Criticality problem of nuclear tractors generMly 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.

关 键 词：Anisotropic scattering transport equation modified discrete ordinates method norm convergence EIGENVALUE 

分 类 号：O175[理学—数学]