Transport-Constrained Extensions of Collision and Track Length Estimators for Solutions of Radiative Transport Problems.
In this paper we develop novel extensions of collision and track lengh estimators for the complete space-angle solutions of radiative transport problems. We derive the relevant equations, prove that our new estimators are unbiased, and compare their performance with that of more conventional ) estimators. Such comparisons based on numerical solutions of simple one dimensional slab problems indicate the the potential superiority of the new estimators for a wide variety of more general transport problems.
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Rong
R
Kong
Jerome
J
Spanier
Automated Monte Carlo algorithms; Biased and unbiased estimators; Kernel density estimators; Radiative transport equations