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Volume 23, Issue 3
Convergence of Inner Iterations Scheme of the Discrete Ordinate Method in Spherical Geometry

Zhi-Jun Shen, Guang-Wei Yuan & Long-Jun Shen

J. Comp. Math., 23 (2005), pp. 321-326.

Published online: 2005-06

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  • Abstract

In transport theory, the convergence of the inner iteration scheme to the spherical neutron transport equation has been an open problem. In this paper, the inner iteration for a positive step function scheme is considered and its convergence in spherical geometry is proved.  

  • Keywords

Transport equation, Discrete ordinate, Inner iteration.

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@Article{JCM-23-321, author = {Zhi-Jun Shen, Guang-Wei Yuan and Long-Jun Shen}, title = {Convergence of Inner Iterations Scheme of the Discrete Ordinate Method in Spherical Geometry}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {3}, pages = {321--326}, abstract = {

In transport theory, the convergence of the inner iteration scheme to the spherical neutron transport equation has been an open problem. In this paper, the inner iteration for a positive step function scheme is considered and its convergence in spherical geometry is proved.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8818.html} }
TY - JOUR T1 - Convergence of Inner Iterations Scheme of the Discrete Ordinate Method in Spherical Geometry AU - Zhi-Jun Shen, Guang-Wei Yuan & Long-Jun Shen JO - Journal of Computational Mathematics VL - 3 SP - 321 EP - 326 PY - 2005 DA - 2005/06 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8818.html KW - Transport equation, Discrete ordinate, Inner iteration. AB -

In transport theory, the convergence of the inner iteration scheme to the spherical neutron transport equation has been an open problem. In this paper, the inner iteration for a positive step function scheme is considered and its convergence in spherical geometry is proved.  

Zhi-Jun Shen, Guang-Wei Yuan and Long-Jun Shen. (2005). Convergence of Inner Iterations Scheme of the Discrete Ordinate Method in Spherical Geometry. Journal of Computational Mathematics. 23 (3). 321-326. doi:
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