numerical stochastis simulation, solving kinetic equations with numerical methods
Main publications:
M. A. Marchenko, “A study of a parallel statistical modelling algorithm for solution of the nonlinear coagulation equation”, Russ. J. Numer. Anal. Math. Modelling, 23:6 (2008), 597–613
M. A. Marchenko, “Majorant frequency principle for an approximate solution of a nonlinear spatially inhomogeneous coagulation equation by the Monte Carlo metho”, Russ. J. Numer. Anal. Math. Modelling, 21:3 (2006), 199–218
G. Z. Lotova and M. A. Marchenko and G. A. Mikhailov and S. V. Rogazinskii and S. A. Ukhinov and V. A. Shklyaev, “Majorant frequency principle for an approximate solution of a nonlinear spatially inhomogeneous coagulation equation by the Monte Carlo metho”, Russ. J. Numer. Anal. Math. Modelling, 29:4 (2014), 251–263
M. A. Marchenko, T. A. Sushkevich, “Parallel simulation of kinetic processes by Monte Carlo method (dedicated to the memory of the Chief Theoretician of Cosmonautics academician M.V. Keldysh in the 60th anniversary of the launch of the first artificial sputnik)”, Num. Meth. Prog., 18:4 (2017), 434–446
B. M. Glinskiy, M. A. Marchenko, B. G. Mikhailenko, A. S. Rodionov, I. G. Chernykh, D. I. Podkorytov, D. A. Karavaev, D. V. Vins, “Simulation modeling of parallel algorithms for exaflop supercomputers”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2013, no. 4, 3–14
3.
M. A. Marchenko, “Effective use of multicore coprocessors in supercomputer stochastic simulation of electron avalanches”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2:4 (2013), 80–93
2012
4.
B. M. Glinsky, A. S. Rodionov, M. A. Marchenko, D. I. Podkorytov, D. V. Weins, “Agent-Oriented Approach to Simulate Exaflop Supercomputer with Application to Distributed Stochastic Simulation”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 12, 93–106
2007
5.
M. A. Marchenko, G. A. Mikhailov, “Distributed computing by the Monte Carlo method”, Avtomat. i Telemekh., 2007, no. 5, 157–170; Autom. Remote Control, 68:5 (2007), 888–900
M. A. Marchenko, “Monte Carlo simulation of spatially inhomogeneous coagulation of particles altogether with their diffusion”, Sib. Zh. Vychisl. Mat., 8:3 (2005), 245–258
2004
7.
M. A. Marchenko, “The program package MONC for distributed computations by Monte Carlo method”, Sib. Zh. Vychisl. Mat., 7:1 (2004), 43–55
M. A. Marchenko, G. A. Mikhailov, “Weighted algorithms for the statistical modeling of diffusion processes”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003), 571–584; Comput. Math. Math. Phys., 43:4 (2003), 547–559
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