caa a22 4500 37893256X CHVBK 20180305123633.0 cr unu---uuuuu 161128e20040601xx s 000 0 eng 10.1515/1569398041126492 doi (NATIONALLICENCE)gruyter-10.1515/1569398041126492 New Monte Carlo global weight method for the approximate solution of the nonlinearBoltzmann equation [Elektronische Daten] [M. S. Ivanov, M. A. Korotchenko, G. A. Mikhailov, S. V. Rogasinsky] We develop new weight modifications of the method of direct statistical simulation for the approximate solution of the nonlinear Boltzmann equation by using the ingenious procedure proposed by the authors, viz. the stratification of collision distribution in a many-particle system by the number of a pair of interacting particles. We check the appropriate weight algorithms for the model problem with the known solution. They allow us to estimate the variations of functionals under small changes of parameters. Copyright 2004, Walter de Gruyter Ivanov M. S. ∗ Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of theRussian Academy of Sciences, Novosibirsk 630090, Russia aut Korotchenko M. A. ∗ Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of theRussian Academy of Sciences, Novosibirsk 630090, Russia aut Mikhailov G. A. ∗ Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of theRussian Academy of Sciences, Novosibirsk 630090, Russia aut Rogasinsky S. V. ∗ Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of theRussian Academy of Sciences, Novosibirsk 630090, Russia aut Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/3(2004-06-01), 223-238 0927-6467 19:3<223 2004 19 rnam https://doi.org/10.1515/1569398041126492 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569398041126492 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ivanov M. S. ∗ Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of theRussian Academy of Sciences, Novosibirsk 630090, Russia aut NATIONALLICENCE 700 1- Korotchenko M. A. ∗ Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of theRussian Academy of Sciences, Novosibirsk 630090, Russia aut NATIONALLICENCE 700 1- Mikhailov G. A. ∗ Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of theRussian Academy of Sciences, Novosibirsk 630090, Russia aut NATIONALLICENCE 700 1- Rogasinsky S. V. ∗ Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of theRussian Academy of Sciences, Novosibirsk 630090, Russia aut NATIONALLICENCE 773 0- Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/3(2004-06-01), 223-238 0927-6467 19:3<223 2004 19 rnam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter