Geodesic
Application of computer algebra for the calculation of bracket integrals
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1867-1882 
Yu. A. Vyzhol; A. N. Zhorova; I. A. Mulenko; A. L. Khomkin. Application of computer algebra for the calculation of bracket integrals. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1867-1882. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Computer algebra is used to develop a system for analytical calculation of bracket integrals on a computer. The results produced by this system can be used for calculating kinetic coefficients of nonideal plasma based on the solution of the Boltzmann kinetic equation.

[1] Fortov V. E., Yakubov I. T., Neidealnaya plazma, Energoatomizdat, M., 1994

[2] Chepmen S., Kauling T., Matematicheskaya teoriya neodnorodnykh gazov, Izd-vo inostr. lit., M., 1960 | MR

[3] Klimontovich Yu. L., Kineticheskaya teoriya neidealnogo gaza i neidealnoi plazmy, Nauka, M., 1975 | MR

[4] Tsvetkov I. V., Primenenie chislennykh metodov dlya modelirovaniya protsessov v plazme: uchebnoe posobie, MIFI, M., 2007

[5] Lagarkov A. N., Sergeev V. M., “Metod molekulyarnoi dinamiki v statisticheskoi fizike”, Uspekhi fiz. nauk, 125:3 (1978), 409–448

[6] Khokni R., Istvud Dzh., Chislennoe modelirovanie metodom chastits, Mir, M., 1987

[7] Kocharyan A. E., Magnitnaya gidrodinamika plazmy slozhnogo khimicheskogo sostava, Dis. : kand. fiz.-matem. nauk, MFTI, Dolgoprudnyi, 2007, 140 pp.

[8] L. S. Polak(red.), Ocherki fiziki i khimii nizkotemperaturnoi plazmy, Nauka, M., 1971

[9] Ferziger J. H., Kaper H. G., Mathematical theory of transport processes in gases, N-H PC, LTD, Amsterdam–London, 1972

[10] Gerdt V. P., Tarasov O. V., Shirkov D. V., “Analiticheskie vychisleniya na EVM v prilozhenii k fizike i matematike”, Uspekhi fiz. nauk, 130:1 (1980), 113–147 | MR

[11] Lifshits E. M., Pitaevskii L. P., Fizicheskaya kinetika, Fizmatlit, M., 2007

[12] Vyzhol Yu. A., Mulenko I. A., Fedoseeva E. V., Khomkin A. L., “Opredelenie vklada elektron-elektronnykh stolknovenii v provodimost polnostyu ionizirovannoi plazmy dlya razlichnykh modelei rascheta transportnykh sechenii”, Ukrainskii fiz. zhurnal, 42:9 (1997), 1083–1090

[13] E. V. Kudryavtsev, V. P. Ionov(red.), Dvizhuschayasya plazma, Izd-vo inostr. lit., M., 1961

[14] Vyzhol Yu. A., Fedoseeva E. V., “Raschet matrichnykh elementov v integrale stolknovenii”, Zh. vychisl. matem. i matem. fiz., 3:11 (1998), 1884–1890

[15] Zaika E. V., Mulenko I. A., Khomkin A. L., “Elektroprovodnost polnostyu ionizovannoi neidealnoi plazmy s ekranirovannym vzaimodeistviem mezhdu zaryadami”, Teplofiz. vysokikh t-r, 38:1 (2000), 5–11

[16] Zaika E. V., Mulenko I. A., Khomkin A. L., “Elektroprovodnost polnostyu ionizovannoi magnitoaktivnoi plazmy s ekranirovannym vzaimodeistviem mezhdu zaryadami”, Teplofiz. vysokikh t-r, 38:6 (2000), 853–861

[17] Vyzhol Yu. A., Mulenko I. A., Khomkin A. L., “Ravnovesnye i kineticheskie svoistva atomarno-molekulyarnoi plazmy”, Inzh.-fiz. zhurnal, 72:3 (1999), 587–591