Geodesic
Weighted modification of the majorizing frequency method as applied to solving nonlinear kinetic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 9, pp. 1724-1734 Cet article a éte moissonné depuis la source Math-Net.Ru

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A special two-parameter weighted Monte Carlo method is constructed that is, on the one hand, as fast as the well-known majorizing frequency method and, on the other hand, applies to pair collisions of unbounded frequency. The variances of the collision and absorption estimates are proved to be bounded for the method. 
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     title = {Weighted modification of the majorizing frequency method as applied to solving nonlinear kinetic equations},
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O. V. Bloshchitsina; S. V. Rogazinskii. Weighted modification of the majorizing frequency method as applied to solving nonlinear kinetic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 9, pp. 1724-1734. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_9_a13/

[1] Rogazinskii S. V., “Ob odnom podkhode k resheniyu odnorodnogo uravneniya Boltsmana”, Zh. vychisl. matem. i matem. fiz., 27:4 (1987), 567–574 | MR

[2] Kats M., Veroyatnost i smezhnye voprosy v fizike, Mir, M., 1965 | Zbl

[3] Mikhailov G. A., Voitishek A. V3., Chislennoe statisticheskoe modelirovanie. Metody Monte–Karlo, Akademiya, M., 2006

[4] Mikhailov G. A., Rogazinskii S. V., “Vesovye metody Monte–Karlo dlya priblizhennogo resheniya nelineinogo uravneniya Boltsmana”, Sibirskii matem. zhurnal, 43:3 (2002), 620–628 | MR

[5] Ivanov M. S., Rogazinskii S. V., Metod pryamogo statisticheskogo modelirovaniya v dinamike razrezhennogo gaza, Novosibirsk, 1988

[6] Berd G., Molekulyarnaya gazovaya dinamika, Mir, M., 1981

[7] Ivanov M. S., Korotchenko M. A., Mikhailov G. A., Rogazinskii S. V., “Globalno-vesovoi metod Monte–Karlo dlya nelineinogo uravneniya Boltsmana”, Zh. vychisl. matem. i matem. fiz., 45:10 (2005), 1860–1870 | MR | Zbl