Convergence of discrete ordinates iteration scheme
作者:
S.V. G. Menon,
D.C. Sahni,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1985)
卷期:
Volume 14,
issue 3
页码: 353-372
ISSN:0041-1450
年代: 1985
DOI:10.1080/00411458508211681
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper, we prove the convergence of the iteration scheme of the discrete ordinates method for the plane geometry transport equation discretised using positive weighted diamond schemes. General anisotropic scattering, boundary conditions and cross-sections are included. For the case of isotropic scattering and vacuum boundary conditions, the eigenvalues of the iteration matrix are shown to be real.
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