Geodesic
Effective averaging of stochastic radiative models based on Monte Carlo simulation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 896-908

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Based on the Monte Carlo simulation and probabilistic analysis, stochastic radiative models are effectively averaged; that is, deterministic models that reproduce the mean probabilities of particle passage through a stochastic medium are constructed. For this purpose, special algorithms for the double randomization and conjugate walk methods are developed. For the numerical simulation of stochastic media, homogeneous isotropic Voronoi and Poisson mosaic models are used. The parameters of the averaged models are estimated based on the properties of the exponential distribution and the renewal theory. 
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     author = {A. Yu. Ambos and G. A. Mikhailov},
     title = {Effective averaging of stochastic radiative models based on {Monte} {Carlo} simulation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {896--908},
     publisher = {mathdoc},
     volume = {56},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a13/}
}
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A. Yu. Ambos; G. A. Mikhailov. Effective averaging of stochastic radiative models based on Monte Carlo simulation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 5, pp. 896-908. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_5_a13/