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Lukshin Andrei Vasil'evich

Publications in Math-Net.Ru

  1. On some models of sorption systems with feedback

    Mat. Model., 15:5 (2003),  17–26
  2. Stochastic model of ultrarelativistic electrons passage through a thick monocrystals

    Mat. Model., 12:9 (2000),  25–44
  3. On the method of point markers in problems of hemodynamics

    Differ. Uravn., 33:7 (1997),  934–940
  4. A mathematical model of the hemodynamics of a cardio-vascular system

    Differ. Uravn., 33:7 (1997),  892–898
  5. On a theory of kinetically consistent difference schemes

    Mat. Model., 7:11 (1995),  109–125
  6. On a model of sorption dynamics with feedback

    Dokl. Akad. Nauk, 324:2 (1992),  314–315
  7. Effect of electron-electron interaction on hot electron transport in $n$-GaAs

    Mat. Model., 3:7 (1991),  38–41
  8. Effective algorithms for the solution of the Boltzmann equation for the manycomponent reacting gas mixture

    Mat. Model., 3:6 (1991),  84–92
  9. Numerical methods of solving stochastic differential equations

    Mat. Model., 2:11 (1990),  108–121
  10. Stochastic algorithms of the mathematical theory of the spatially inhomogeneous Boltzmann equation for gas mixture

    Mat. Model., 2:5 (1990),  120–130
  11. Stochastic algorithms of mathematical theory of spatially-nonhomogeneous Boltzmann equation

    Mat. Model., 1:7 (1989),  146–159
  12. Stochastic algorithms for solution of spatially-homogeneous Boltzmann equation for a gas mixture

    Mat. Model., 1:2 (1989),  151–160
  13. Mathematical foundation of particle method and modelling of semiconductor plasma

    Mat. Model., 1:1 (1989),  108–119
  14. An efficient stochastic algorithm for solving the Boltzmann equation

    Zh. Vychisl. Mat. Mat. Fiz., 29:1 (1989),  118–124
  15. A stochastic algorithm for solving the Boltzmann equation in semiconductor theory

    Differ. Uravn., 24:7 (1988),  1196–1204
  16. Approximation of the Boltzmann equation in the theory of semiconductors by stochastic equations

    Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988),  1567–1576
  17. A stochastic algorithm for solving the Boltzmann equation based on Euler's method

    Zh. Vychisl. Mat. Mat. Fiz., 28:5 (1988),  764–768
  18. On a stochastic method of solving the Boltzmann equation

    Zh. Vychisl. Mat. Mat. Fiz., 28:2 (1988),  293–297
  19. A stochastic method for solving the Boltzmann equation for a gas with an arbitrary interaction law

    Differ. Uravn., 23:11 (1987),  2001–2004
  20. Difference analogues of the Boltzmann equation and equations of macroscopic dynamics

    Differ. Uravn., 21:7 (1985),  1202–1208
  21. On a property of the collision integrals

    Zh. Vychisl. Mat. Mat. Fiz., 25:1 (1985),  151–153
  22. 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
  23. Asymptotic solution to a problem of the kinetic theory of gases

    Dokl. Akad. Nauk SSSR, 245:5 (1979),  1087–1090
  24. 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
  25. Model of the dynamics of sorption

    Dokl. Akad. Nauk SSSR, 213:3 (1973),  550–552


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