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Lukshin, Andrei Vasil'evich
(1956–1998)
Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 25

Number of views:
This page:400
Abstract pages:7944
Full texts:5086
References:95
Associate professor
Doctor of physico-mathematical sciences (1997)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 20.09.1956
Website: https://cs.msu.ru/persons/304

https://www.mathnet.ru/eng/person31612
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/116885
https://elibrary.ru/author_items.asp?authorid=6937

Publications in Math-Net.Ru Citations
2003
1. A. B. Evseev, A. V. Lukshin, “On some models of sorption systems with feedback”, Mat. Model., 15:5 (2003),  17–26  mathnet  zmath
2000
2. A. V. Lukshin, A. K. Maslov, I. V. Polimatidi, S. N. Smirnov, “Stochastic model of ultrarelativistic electrons passage through a thick monocrystals”, Mat. Model., 12:9 (2000),  25–44  mathnet  mathscinet  zmath 1
1997
3. K. V. Gavrylyuk, A. V. Lukshin, “On the method of point markers in problems of hemodynamics”, Differ. Uravn., 33:7 (1997),  934–940  mathnet  mathscinet; Differ. Equ., 33:7 (1997), 938–944
4. M. V. Abakumov, K. V. Gavrylyuk, N. B. Esikova, A. V. Lukshin, S. I. Mukhin, N. V. Sosnin, V. F. Tishkin, A. P. Favorski, “A mathematical model of the hemodynamics of a cardio-vascular system”, Differ. Uravn., 33:7 (1997),  892–898  mathnet  mathscinet; Differ. Equ., 33:7 (1997), 895–901 11
1995
5. A. V. Lukshin, B. N. Chetverushkin, “On a theory of kinetically consistent difference schemes”, Mat. Model., 7:11 (1995),  109–125  mathnet  zmath 2
1992
6. M. O. Vorobeva, A. V. Lukshin, “On a model of sorption dynamics with feedback”, Dokl. Akad. Nauk, 324:2 (1992),  314–315  mathnet  mathscinet; Dokl. Math., 37:5 (1992), 231–232
1991
7. M. N. Burtseva, A. V. Lukshin, “Effect of electron-electron interaction on hot electron transport in $n$-GaAs”, Mat. Model., 3:7 (1991),  38–41  mathnet
8. A. V. Lukshin, I. E. Yuferov, “Effective algorithms for the solution of the Boltzmann equation for the manycomponent reacting gas mixture”, Mat. Model., 3:6 (1991),  84–92  mathnet  mathscinet  zmath 1
1990
9. A. V. Lukshin, S. N. Smirnov, “Numerical methods of solving stochastic differential equations”, Mat. Model., 2:11 (1990),  108–121  mathnet  mathscinet  zmath 2
10. A. V. Lukshin, I. E. Yuferov, “Stochastic algorithms of the mathematical theory of the spatially inhomogeneous Boltzmann equation for gas mixture”, Mat. Model., 2:5 (1990),  120–130  mathnet  mathscinet  zmath
1989
11. A. V. Lukshin, “Stochastic algorithms of mathematical theory of spatially-nonhomogeneous Boltzmann equation”, Mat. Model., 1:7 (1989),  146–159  mathnet  mathscinet  zmath 2
12. A. V. Lukshin, I. E. Yuferov, “Stochastic algorithms for solution of spatially-homogeneous Boltzmann equation for a gas mixture”, Mat. Model., 1:2 (1989),  151–160  mathnet  mathscinet  zmath 2
13. A. A. Arsen'ev, A. V. Lukshin, “Mathematical foundation of particle method and modelling of semiconductor plasma”, Mat. Model., 1:1 (1989),  108–119  mathnet  mathscinet  zmath
14. A. V. Lukshin, S. N. Smirnov, “An efficient stochastic algorithm for solving the Boltzmann equation”, Zh. Vychisl. Mat. Mat. Fiz., 29:1 (1989),  118–124  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:1 (1989), 83–87 10
1988
15. O. I. Zvarova, A. V. Lukshin, “A stochastic algorithm for solving the Boltzmann equation in semiconductor theory”, Differ. Uravn., 24:7 (1988),  1196–1204  mathnet  mathscinet; Differ. Equ., 24:7 (1988), 776–781
16. O. I. Zvarova, An. V. Lukshin, “Approximation of the Boltzmann equation in the theory of semiconductors by stochastic equations”, Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988),  1567–1576  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 188–194
17. An. V. Lukshin, S. N. Smirnov, “A stochastic algorithm for solving the Boltzmann equation based on Euler's method”, Zh. Vychisl. Mat. Mat. Fiz., 28:5 (1988),  764–768  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 96–99 1
18. An. V. Lukshin, S. N. Smirnov, “On a stochastic method of solving the Boltzmann equation”, Zh. Vychisl. Mat. Mat. Fiz., 28:2 (1988),  293–297  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:1 (1988), 192–195 2
1987
19. A. V. Lukshin, “A stochastic method for solving the Boltzmann equation for a gas with an arbitrary interaction law”, Differ. Uravn., 23:11 (1987),  2001–2004  mathnet  mathscinet  zmath
1985
20. A. V. Lukshin, “Difference analogues of the Boltzmann equation and equations of macroscopic dynamics”, Differ. Uravn., 21:7 (1985),  1202–1208  mathnet  mathscinet
21. An. V. Lukshin, “On a property of the collision integrals”, Zh. Vychisl. Mat. Mat. Fiz., 25:1 (1985),  151–153  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:1 (1985), 102–104
1983
22. A. V. Lukshin, “On a method of obtaining the closed systems of equations for macro parameters of the distribution function at small Knudsen numbers”, Dokl. Akad. Nauk SSSR, 270:4 (1983),  869–873  mathnet
1979
23. An. V. Lukshin, “Asymptotic solution to a problem of the kinetic theory of gases”, Dokl. Akad. Nauk SSSR, 245:5 (1979),  1087–1090  mathnet  mathscinet
1978
24. A. V. Lukshin, “Asymptotic behavior of the solutions of the Fredholm equation of the second kind with a small parameter”, Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  634–641  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:3 (1978), 105–113
1973
25. A. V. Lukshin, “Model of the dynamics of sorption”, Dokl. Akad. Nauk SSSR, 213:3 (1973),  550–552  mathnet  zmath

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