ON THE SPECTRUM OF THE ONE-SPEED SLAB-GEOMETRY DISCRETE ORDINATES OPERATOR IN NEUTRON-TRANSPORT THEORY

We describe a numerical method applied to the first-order form of one- speed slab-geometry discrete ordinates equations modelling time-indepe ndent neutron transport problems with anisotropic scattering, with no interior source and defined in a nonmultiplying homogeneous host mediu m. Our numerical method is concerned with the generation of the spectr um and of a vector basis for the null space of the one-speed slab-geom etry discrete ordinates operator. Moreover, it allows us to overcome t he difficulties introduced in previous methods by anisotropic scatteri ng and by angular quadrature sets of high order. To illustrate the pos itive features of our numerical method, we present numerical results f or one-speed slab-geometry neutron transport model problems with aniso tropic scattering. (C) 1998 Published by Elsevier Science Ltd. All rig hts reserved.