Geodesic
Global weighted Monte Carlo method for the nonlinear Boltzmann equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 10, pp. 1860-1870

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

New weighted modifications of direct statistical simulation methods as applied to the nonlinear Boltzmann equation are developed on the basis of an original strategy–stratification of the collision distribution in a multiparticle system according to the index of a pair of interacting particles. The weighted algorithms are validated on a model problem with a known solution. It is shown that they effectively estimate variations in the functionals with varying parameters, in particular, with the number of particles in the simulating ensemble. 
@article{ZVMMF_2005_45_10_a10,
     author = {M. S. Ivanov and M. A. Korotchenko and G. A. Mikhailov and S. V. Rogazinskii},
     title = {Global weighted {Monte} {Carlo} method for the nonlinear {Boltzmann} equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1860--1870},
     publisher = {mathdoc},
     volume = {45},
     number = {10},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a10/}
}
TY  - JOUR
AU  - M. S. Ivanov
AU  - M. A. Korotchenko
AU  - G. A. Mikhailov
AU  - S. V. Rogazinskii
TI  - Global weighted Monte Carlo method for the nonlinear Boltzmann equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 1860
EP  - 1870
VL  - 45
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a10/
LA  - ru
ID  - ZVMMF_2005_45_10_a10
ER  - 
%0 Journal Article
%A M. S. Ivanov
%A M. A. Korotchenko
%A G. A. Mikhailov
%A S. V. Rogazinskii
%T Global weighted Monte Carlo method for the nonlinear Boltzmann equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 1860-1870
%V 45
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a10/
%G ru
%F ZVMMF_2005_45_10_a10
M. S. Ivanov; M. A. Korotchenko; G. A. Mikhailov; S. V. Rogazinskii. Global weighted Monte Carlo method for the nonlinear Boltzmann equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 10, pp. 1860-1870. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a10/