Abstract
The P N and double P N approximations to the monoenergetic transport equation are modified to improve their asymptotic behaviour. Free parameters are introduced into the P N and double P N equations through the use of a pseudo-scattering kernel. The parameters are evaluated by stipulating that the resulting scalar flux approximations to the infinite-medium Green's function yield exact asymptotic solutions while conserving specified spatial moments. Asymptotic P 3 and double P 1 solutions are presented for the infinite-medium and half-space Green's functions and for the source-free and constant-source Milne problems.
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