Geodesic
Numerical solution of the Boltzmann equation by the symmetric splitting method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 4, pp. 601-613 Cet article a éte moissonné depuis la source Math-Net.Ru

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I. N. Larina; V. A. Rykov. Numerical solution of the Boltzmann equation by the symmetric splitting method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 4, pp. 601-613. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_4_a13/

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

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

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

[4] Larina I. N., Rykov V. A., “Chislennyi metod vtorogo poryadka tochnosti dlya resheniya uravneniya Boltsmana pri malykh chislakh Knudsena”, Zh. vychisl. matem. i matem. fiz., 42:4 (2002), 559–568 | MR | Zbl

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

[6] Strang G., “On the construction and comparison of difference schemes”, SIAM J. Numer. Analys., 1968, no. 5 | MR

[7] Bobylev A. V., Ohvada T., “On the generalization of Strang's splitting scheme”, Rev. Mat. Univ. Parma, 6 (1999)

[8] Yang J. Y., Huang J. C., “Rarefied flow computation using nonlinear model Boltzmann equations”, J. Comput. Phys., 120 (1995), 323–339 | DOI | Zbl

[9] Shakhov E. M., “Prodolnoe obtekanie plastiny potokom razrezhennogo gaza”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1973, no. 2, 119–126

[10] Cheremisin F. G., “Chislennye metody pryamogo resheniya kineticheskogo uravneniya Boltsmana”, Zh. vychisl. matem. i matem. fiz., 25:12 (1985), 1840–1855 | MR

[11] Aoki K., Kanba K., Takata S., “Numerical analysis of a supersonic rarefied gas flow past a flat plate”, Phys. Fluids, 9:4 (1994), 1144–1161 | DOI | MR