Synthetic Method Solution of the Transport Equation

A general residue iteration method (the synthetic method) is described and applied to the solution of the neutron transport equation. For example, a possible solution is the synthesis of a sequence of solutions to diffusion equations, each having a residue source. Only time independent systems consisting of isotropic scattering material of arbitrary geometry are considered herein. Exact solutions, approximate solutions, and the refinement of existing approximate methods can be accomplished within the framework of the synthetic method.