Awono, O.; Tagoudjeu, J. A splitting iterative method for solving the neutron transport equation. (English) Zbl 1180.82243 Math. Model. Anal. 14, No. 3, 271-289 (2009). Summary: This paper presents an iterative method based on a self-adjoint and \(m\)-accretive splitting for the numerical treatment of the steady state neutron transport equation. Theoretical analysis shows that this method converges unconditionally to the unique solution of the transport equation. The convergence of the method is numerically illustrated and compared with the standard source iteration method and multigrid method on sample problems in slab geometry and in two-dimensional space. MSC: 82D75 Nuclear reactor theory; neutron transport 82C70 Transport processes in time-dependent statistical mechanics 82B80 Numerical methods in equilibrium statistical mechanics (MSC2010) Keywords:transport equation; self adjoint operator; \(m\)-accretive; operator splitting; iterative method PDFBibTeX XMLCite \textit{O. Awono} and \textit{J. Tagoudjeu}, Math. Model. Anal. 14, No. 3, 271--289 (2009; Zbl 1180.82243) Full Text: DOI