KRYLOV TECHNIQUES FOR 3D PROBLEMS IN TRANSPORT THEORY

摘要

When solving integro-differential equations by means of numerical methods one has to deal with large systems of linear equations, such as happens in transport theory. Many iterative techniques are now used in Transport Theory in order to solve problems of 2D and 3D dimensions. In this paper, we choose two problems to solve the following transport equation, The aim of this work is the straightforward application of the Krylov spaces technique to the governing equation or to its discretizations derived of the discrete ordinates method (choosing a finite number of directions and then approximating the integral term by means of a proper sum).