THE CONVERGENCE OF DISCRETEDIRECTION APPROXIMATIONS FOR NEUTRON TRANSPORT PROBLEMS WITH CONTINUOUS ENERGY

In this paper the approximation theory of p-order quasi-collectively compact operators established by Yang Mingzhu and Zhu Guangtian is applied to prove that the critical parameter and critical flux, and that the fundamental mode decay constant and fundamental mode computed by discrete-direction do converge to the corresponding quantities for neutron transport problems with continuous energy.