The An method in monokinetic neutron transport theory: Convergence and numerical applications

The convergence of the approximate method, referred to as An, to study the solution of the monokinetic transport equation is fully investigated, when it is applied to the description of the neutron population in both infinite and finite media. The basic features of the method and the analytical and numerical implications are then analysed, in plane and curved geometries. The approximation is inserted within the other today available approximate methods panorama, such as discrete ordinates, SN and PN and its particular features are briefly pointed out. Finally, some typical numerical applications and results to study its performance and reliability are presented, such as calculations of critical dimensions, of Green functions in the infinite medium, and of space neutron distributions in infinite bodies injected by cylindrically symmetric sources.