caa a22 4500 605461244 CHVBK 20210128100242.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10114-015-4507-y doi (NATIONALLICENCE)springer-10.1007/s10114-015-4507-y Zhang Xin Department of Basic Courses, Beijing Union University, 100101, Beijing, P. R. China aut Convergence of the modified discrete ordinates method for the anisotropic scattering transport equation [Elektronische Daten] [Xin Zhang] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Anisotropic scattering transport equation nationallicence modified discrete ordinates method nationallicence norm convergence nationallicence eigenvalue nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1449-1460 1439-8516 31:9<1449 2015 31 10114 https://doi.org/10.1007/s10114-015-4507-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4507-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhang Xin Department of Basic Courses, Beijing Union University, 100101, Beijing, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1449-1460 1439-8516 31:9<1449 2015 31 10114