Geodesic
Stochastic algorithms of the mathematical theory of the spatially inhomogeneous Boltzmann equation for gas mixture
Matematičeskoe modelirovanie, Tome 2 (1990) no. 5, pp. 120-130.

Voir la notice de l'article provenant de la source Math-Net.Ru

A new mathematically rigorous approach for the particle simulation of the spatially inhomogeneous Boltzmann equation for gas mixture is considered. This approach relies on an approximation of the Boltzmann equation by systems of stochastic differential equations with respect to Poisson measure and has first been suggested by A. V. Skorochod and A. A. Arsen'ev. Stochastic simulation schemes for the Boltzmann equation for gas mixture are considered as the methods of the numerical solution of stochastic equations and are tested on the rarefied gas shock wave problem. 
@article{MM_1990_2_5_a7,
     author = {A. V. Lukshin and I. E. Yuferov},
     title = {Stochastic algorithms of the mathematical theory of the spatially inhomogeneous {Boltzmann} equation for gas mixture},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {120--130},
     publisher = {mathdoc},
     volume = {2},
     number = {5},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_5_a7/}
}
TY  - JOUR
AU  - A. V. Lukshin
AU  - I. E. Yuferov
TI  - Stochastic algorithms of the mathematical theory of the spatially inhomogeneous Boltzmann equation for gas mixture
JO  - Matematičeskoe modelirovanie
PY  - 1990
SP  - 120
EP  - 130
VL  - 2
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_1990_2_5_a7/
LA  - ru
ID  - MM_1990_2_5_a7
ER  - 
%0 Journal Article
%A A. V. Lukshin
%A I. E. Yuferov
%T Stochastic algorithms of the mathematical theory of the spatially inhomogeneous Boltzmann equation for gas mixture
%J Matematičeskoe modelirovanie
%D 1990
%P 120-130
%V 2
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_1990_2_5_a7/
%G ru
%F MM_1990_2_5_a7
A. V. Lukshin; I. E. Yuferov. Stochastic algorithms of the mathematical theory of the spatially inhomogeneous Boltzmann equation for gas mixture. Matematičeskoe modelirovanie, Tome 2 (1990) no. 5, pp. 120-130. http://geodesic.mathdoc.fr/item/MM_1990_2_5_a7/