USE OF NUMERICALLY INVERTED LAPLACE TRANSFORMS IN TIME-DEPENDENT TRANSPORT CALCULATIONS.

Abstract A time-dependent transport problem in which a monoenergetic point source emits a pulse of radiation into an infinite medium has been solved by Laplace transform techniques. Auxiliary information inferred from the physical nature of the problem is incorporated into the Laplace inversion procedure to eliminate the oscillatory solutions which usually result from attempts to numerically invert Laplace transforms. This simultaneous utilization of mathematical and physical information has made it possible to obtain credible time-dependent solutions for the transport problem under consideration.