In a previous publication, LAMS-2795, On the Computation of the Transport of Radiation (1962), we obtained finite difference approxima-tions to the transport equation by the method of characteristics. In this paper that method is generalized to obtain completely conservative difference equations,. We also propose a method of frequency discreti¬zation which allows retention of a large part of the information ordinarily lost if the absorption coefficient is simply averaged. It is shown that the difference equations behave correctly in the limit of large or small absorption coefficient.
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