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

doi:10.1007/s10114-015-4507-y

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	Convergence of the Modified Discrete Ordinates Method for the Anisotropic Scattering Transport Equation
	Zhang, Xin 1,2
	2015-09-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	31 期号:9 页码:1449-1460
摘要	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.
关键词	Anisotropic scattering transport equation modified discrete ordinates method norm convergence eigenvalue
DOI	10.1007/s10114-015-4507-y
语种	英语
资助项目	National Natural Science Foundation of China[11201007]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000359011700007
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20520
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xin
作者单位	1.Beijing Union Univ, Dept Basic Courses, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 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.