TY - JOUR T1 - Convergence of Inner Iterations Scheme of the Discrete Ordinate Method in Spherical Geometry 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.