Vector algorithms for H-equations arising in radiative transfer through inhomogeneous media

Abstract

Abstract The exit distribution problem for one speed isotropic radiative transfer in an inhomogeneous slab can be solved in terms of an analog of the Chandrasekhar H-Function. This function is the solution to a nonlinear integral equation in two variables for one group problems and in more variables for multi-group problems. In this paper we give algorithms for vector computers, in particular the CDC Cyber 205, that make it practical to solve such equations.