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A CONVERGENCE ANALYSIS OF SOURCE ITERATION FOR THE SOLUTION OF COUPLED TRANSPORT EQUATIONS ON A STOCHASTIC MEDIA*1

ABSTRACT An analysis of the stability and convergence properties of the Source Iteration method is applied to a general class of coupled transport equations. This class of equations is motivated by formulations of the problem of radiation transport through random media as proposed by Pomraning, Su, and others. It is shown that, for slab geometries, these methods are unconditionally stable for real physical parameters. *This work was performed under the auspices of the United States Department of Energy by University of California Lawrence Livermore National Laboratory Contract W-7405-Eng-48.