The Asub(n) method and the spherical-harmonics approximation in neutron transport theory

The work presented in this paper completes the theoretical analysis that concerns the use of the Asub(n) approximate method in solving the monokinetic neutron transport equation. The method has been devised from the integral form of the transport equation and is connected to a proper approximation of the transport kernel which may be accomplished by means of a general integration formula. It is proved that under a suitable choice of the Asub(n) approximation parameters, namely referring to the classical Gauss-Legendre integration technique, the system of space second-order differential equations which constitute the discrete ordinate one. (author)