caa a22 4500 378913727 CHVBK 20180305123548.0 cr unu---uuuuu 161128e20040401xx s 000 0 eng 10.1515/156939804323089325 doi (NATIONALLICENCE)gruyter-10.1515/156939804323089325 Estimates of the fluctuations of criticality parameters in the particle transport process in a random medium [Elektronische Daten] [G. Z. Lotova, G. A. Mikhailov] We solve the problem of estimating the first and second moments of the critical values of the parameters in the transport process in a particle scattering, absorbing and multiplying medium with random density. For this purpose, using the special iterative process, we derive estimates of the first and second derivatives of the critical parameters with respect to the values of density in various medium subdomains. The 'method of maximal cross section' substantially simplifies geometric calculations. We give sufficiently wide conditions for finiteness of the estimates variances. Besides, to estimate the moments studied we construct the simple probabilistic model of the transport process in an infinite medium with additional absorption probability dependent on the random density. The computational results given in the paper show the practical efficiency of the estimates derived. Copyright 2004, Walter de Gruyter Lotova G. Z. Institute of Computational Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia aut Mikhailov G. A. Institute of Computational Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia aut Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/2(2004-04-01), 173-183 0927-6467 19:2<173 2004 19 rnam https://doi.org/10.1515/156939804323089325 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939804323089325 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lotova G. Z. Institute of Computational Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia aut NATIONALLICENCE 700 1- Mikhailov G. A. Institute of Computational Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia aut NATIONALLICENCE 773 0- Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/2(2004-04-01), 173-183 0927-6467 19:2<173 2004 19 rnam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter