Convergence of the modified discrete ordinates method for the anisotropic scattering transport equation
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605461244 | ||
| 003 | CHVBK | ||
| 005 | 20210128100242.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-4507-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4507-y | ||
| 100 | 1 | |a Zhang |D Xin |u Department of Basic Courses, Beijing Union University, 100101, Beijing, P. R. China |4 aut | |
| 245 | 1 | 0 | |a Convergence of the modified discrete ordinates method for the anisotropic scattering transport equation |h [Elektronische Daten] |c [Xin Zhang] |
| 520 | 3 | |a 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. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Anisotropic scattering transport equation |2 nationallicence | |
| 690 | 7 | |a modified discrete ordinates method |2 nationallicence | |
| 690 | 7 | |a norm convergence |2 nationallicence | |
| 690 | 7 | |a eigenvalue |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1449-1460 |x 1439-8516 |q 31:9<1449 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4507-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4507-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Zhang |D Xin |u Department of Basic Courses, Beijing Union University, 100101, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1449-1460 |x 1439-8516 |q 31:9<1449 |1 2015 |2 31 |o 10114 | ||