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Convergence of the Modified Discrete Ordinates Method for the Anisotropic Scattering Transport Equation
Zhang, Xin1,2
2015-09-01
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
Volume31Issue:9Pages:1449-1460
AbstractCriticality 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.
KeywordAnisotropic scattering transport equation modified discrete ordinates method norm convergence eigenvalue
DOI10.1007/s10114-015-4507-y
Language英语
Funding ProjectNational Natural Science Foundation of China[11201007]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000359011700007
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20520
Collection中国科学院数学与系统科学研究院
Affiliation1.Beijing Union Univ, Dept Basic Courses, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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