CONVERGENCE OF THE DISCRETE ORDINATES METHOD FOR THE TRANSPORT EQUATION

摘要

The transport equation for the distribution of neutrons or radiation is an integro-differential equation of some complexity. The discrete ordinates method of approximate solution, which is based on numerical integration, has been used for a number of years to obtain satisfactory results. However, a complete con¬vergence of error analysis is available only in some rather idealized cases. We survey the various contributions to the literature on the convergence question from an abstract and unifying point of view. In the process, methods of analysis are developed which are applicable to very general transport problems.