Geodesic
Splitting method of the second order of accuracy for the Boltzmann equation
Matematičeskoe modelirovanie, Tome 14 (2002) no. 8, pp. 96-101.

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Numerical splitting method of the second order of accuracy is proposed for solving the Boltzmann equation. The method is developed for investigation of rarefied gas flows at low Knudsen numbers. Linearization of collision integral near local Maxwell distribution function is used. Examples of calculation of one-dimensional and two-dimensional gas flows are presented. 
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I. N. Larina; V. A. Rykov. Splitting method of the second order of accuracy for the Boltzmann equation. Matematičeskoe modelirovanie, Tome 14 (2002) no. 8, pp. 96-101. http://geodesic.mathdoc.fr/item/MM_2002_14_8_a17/

[1] I. I. Kudish, V. A. Rykov, “Otrazhenie udarnoi volny ot tverdoi stenki”, Zh. Vychisl. matem. i matem. fiz., 13:5 (1973), 1288–1297 | Zbl

[2] I. I. Kudish, V. A. Rykov, “O skhozhdenii k tsentru i otrazhenii sfericheskoi volny v gaze”, Zh. Vychisl. matem. i matem. fiz., 16:5 (1976), 1209–1219

[3] A. A. Samarskii, Teoriya raznostnykh skhem, Nauka, M., 1979

[4] I. N. Larina, V. A. Rykov, “Metod chislennogo resheniya uravneniya Boltsmana pri malykh chislakh Knudsena”, Matem. modelirovanie, 12:6 (2000), 109–114 | Zbl

[5] M. N. Kogan, Dinamika razrezhennogo gaza, Nauka, M., 1967

[6] A. M. Bishaev, V. A. Rykov, “Reshenie statsionarnykh zadach kineticheskoi teorii gazov pri umerennykh i malykh chislakh Knudsena metodom iteratsii”, Zh. Vychisl. matem. i matem. fiz., 15:1 (1975), 172–182 | Zbl