V. N. Litvinov, A. E. Chistyakov, A. V. Nikitina, A. M. Atayan, I. Yu. Kuznetsova, “Mathematical modeling of hydrodynamics problems of the Azov Sea on a multiprocessor computer system”, Computer Research and Modeling, 16:3 (2024), 647–672
2.
A. I. Sukhinov, A. E. Chistyakov, V. V. Sidoryakina, I. Yu. Kuznetsova, A. M. Atayan, “Using parallel computing to evaluate the transport of pollutants in shallow waters”, Izv. Saratov Univ. Math. Mech. Inform., 24:2 (2024), 298–315
3.
A. I. Sukhinov, A. E. Chistyakov, Yu. V. Belova, I. Yu. Kuznetsova, “Analytical and numerical study of the problem of plankton population dynamics in the presence of microplastics”, Matem. Mod., 36:3 (2024), 95–114
2023
4.
Yu. V. Belova, A. M. Atayan, V. N. Litvinov, A. E. Chistyakov, E. O. Rahimbaeva, A. V. Nikitina, “Solving of the biological kinetics problem on a heterogeneous multiprocessor computer system”, J. Comp. Eng. Math., 10:2 (2023), 3–16
5.
A. I. Sukhinov, A. E. Chistyakov, A. V. Nikitina, A. M. Atayan, V. N. Litvinov, “A method of solving grid equations for hydrodynamic problems in flat areas”, Matem. Mod., 35:3 (2023), 35–58; Math. Models Comput. Simul., 15:5 (2023), 802–816
Yu. V. Belova, E. O. Rahimbaeva, V. N. Litvinov, A. E. Chistyakov, A. V. Nikitina, A. M. Atayan, “The qualitative regularities of the eutrophication process of a shallow water research based on a biological kinetics mathematical model”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:2 (2023), 14–27
A. I. Sukhinov, V. N. Litvinov, A. E. Chistyakov, A. V. Nikitina, N. N. Gracheva, N. B. Rudenko, “Solving grid equations using the alternating-triangular method on a graphics accelerator”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 12:2 (2023), 78–92
2022
8.
A. I. Sukhinov, A. E. Chistyakov, A. M. Atayan, I. Yu. Kuznetsova, V. N. Litvinov, A. V. Nikitina, “Mathematical model of process of sedimentation of multicomponent suspension on the bottom and changes in the composition of bottom materials”, Izv. IMI UdGU, 60 (2022), 73–89
A. I. Sukhinov, A. E. Chistyakov, I. Y. Kuznetsova, A. M. Atayan, A. V. Nikitina, “Regularized difference scheme for solving hydrodynamic problems”, Matem. Mod., 34:2 (2022), 85–100; Math. Models Comput. Simul., 14:5 (2022), 745–754
A. I. Sukhinov, A. V. Nikitina, A. M. Atayan, V. N. Litvinov, Yu. V. Belova, A. E. Chistyakov, “Supercomputer simulation of hydrobiological processes of coastal systems”, Matem. Mod., 34:1 (2022), 81–103; Math. Models Comput. Simul., 14:4 (2022), 677–690
A. M. Atayan, A. V. Nikitina, A. I. Sukhinov, A. E. Chistyakov, “Mathematical modeling of hazardous natural phenomena in a shallow basin”, Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022), 270–288; Comput. Math. Math. Phys., 61:2 (2022), 269–286
A. I. Sukhinov, Y. V. Belova, A. E. Chistyakov, “Mathematical modeling of biogeochemical cycles in coastal systems of the South of Russia”, Matem. Mod., 33:3 (2021), 20–38; Math. Models Comput. Simul., 13:6 (2021), 930–942
A. I. Sukhinov, A. E. Chistyakov, V. V. Sidoryakina, S. V. Protsenko, A. M. Atayan, “Local two-dimensional splitting schemes for 3D suspended matter transport problem parallel solution”, Mathematical Physics and Computer Simulation, 24:2 (2021), 38–53
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, A. M. Atayan, “Linear combination of the Upwind and Standard Leapfrog difference schemes with weight coefficients, obtained by minimizing the approximation error”, Chebyshevskii Sb., 21:4 (2020), 243–256
15.
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone”, Matem. Mod., 32:2 (2020), 3–23; Math. Models Comput. Simul., 12:5 (2020), 757–769
A. I. Sukhinov, A. E. Chistyakov, V. N. Litvinov, A. V. Nikitina, Yu. V. Belova, A. A. Filina, “Computational aspects of mathematical modeling of the shallow water hydrobiological processes”, Num. Meth. Prog., 21:4 (2020), 452–469
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Parallel algorithms for solving the problem of coastal bottom relief dynamics”, Num. Meth. Prog., 21:3 (2020), 196–206
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, “Difference scheme for solving problems of hydrodynamics for large grid Peclet numbers”, Computer Research and Modeling, 11:5 (2019), 833–848
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Accounting method of filling cells for the hydrodynamics problems solution with complex geometry of the computational domain”, Matem. Mod., 31:8 (2019), 79–100; Math. Models Comput. Simul., 12:2 (2020), 232–245
A. I. Sukhinov, A. E. Chistyakov, “CABARET difference scheme with improved dispersion properties”, Matem. Mod., 31:3 (2019), 83–96; Math. Models Comput. Simul., 11:6 (2019), 867–876
A. I. Sukhinov, A. E. Chistyakov, V. V. Sidoryakina, S. V. Protsenko, “A difference scheme with the optimal weight for the diffusion-convection equation”, Num. Meth. Prog., 20:3 (2019), 283–292
22.
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, “Upwind and Standard Leapfrog Difference Schemes”, Num. Meth. Prog., 20:2 (2019), 170–181
A. I. Sukhinov, A. E. Chistyakov, A. A. Filina, A. V. Nikitina, V. N. Litvinov, “Supercomputer simulation of oil spills in the Azov Sea”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:3 (2019), 115–129
S. V. Protsenko, A. M. Atayan, A. E. Chistyakov, A. V. Nikitina, V. N. Litvinov, A. A. Filina, “Experimental research of power loads on the supports of the surface structure based on the mathematical model of wave processes”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 8:3 (2019), 27–42
2018
25.
A. I. Sukhinov, A. E. Chistyakov, A. V. Shishenya, E. F. Timofeeva, “Predictive modelling of coastal hydrophysical processes in a multiprocession system based on explicit schemes”, Matem. Mod., 30:3 (2018), 83–100; Math. Models Comput. Simul., 10:5 (2018), 648–658
A. I. Sukhinov, A. V. Nikitina, A. E. Chistyakov, A. A. Semenyakina, “Practical aspects of implementation of the parallel algorithm for solving problem of ctenophore population interaction in the Azov Sea”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 7:3 (2018), 31–54
V. A. Gushchin, A. V. Nikitina, A. A. Semenyakina, A. I. Sukhinov, A. E. Chistyakov, “A model of transport and transformation of biogenic elements in the coastal system and its numerical implementation”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018), 120–137; Comput. Math. Math. Phys., 58:8 (2018), 1316–1333
A. I. Sukhinov, A. E. Chistyakov, G. A. Ugol'nitskii, A. B. Usov, A. V. Nikitina, M. V. Puchkin, I. S. Semenov, “Game-theoretic regulations for control mechanisms of sustainable development for shallow water ecosystems”, Avtomat. i Telemekh., 2017, no. 6, 122–137; Autom. Remote Control, 78:6 (2017), 1059–1071
A. I. Sukhinov, A. E. Chistyakov, “Error solving the wave equation based on the scheme with weights”, Matem. Mod., 29:4 (2017), 21–29; Math. Models Comput. Simul., 9:6 (2017), 649–656
A. I. Sukhinov, Yu. V. Belova, A. E. Chistyakov, “Solution of the matter transport problem at high Peclet numbers”, Num. Meth. Prog., 18:4 (2017), 371–380
A. I. Sukhinov, A. E. Chistyakov, A. A. Semenyakina, A. V. Nikitina, “Numerical modeling of ecologic situation of the azov sea with using schemes of increased order of accuracy on multiprocessor computer system”, Computer Research and Modeling, 8:1 (2016), 151–168
A. Nikitina, A. I. Sukhinov, G. A. Ugolnitsky, A. B. Usov, A. E. Chistyakov, M. Puchkin, I. S. Semenov, “Optimal control of sustainable development in biological rehabilitation of the Azov Sea”, Matem. Mod., 28:7 (2016), 96–106; Math. Models Comput. Simul., 9:1 (2017), 101–107
A. I. Sukhinov, A. V. Nikitina, A. E. Chistyakov, I. S. Semenov, A. A. Semenyakina, D. S. Khachunts, “Mathematical modeling of eutrophication processes in shallow waters on multiprocessor computer system”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 5:3 (2016), 36–53
34.
A. I. Sukhinov, A. E. Chistakov, M. V. Iakobovskii, “Accuracy of the numerical solution of the equations of diffusion-convection using the difference schemes of second and fourth order approximation error”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 5:1 (2016), 47–62
A. Nikitina, M. Puchkin, I. S. Semenov, A. I. Sukhinov, G. A. Ugol'nitskii, A. B. Usov, A. E. Chistyakov, “Differential game of fish kill prevention in shallow waterbodies”, UBS, 55 (2015), 343–361
A. I. Sukhinov, E. Protsenko, A. E. Chistyakov, S. A. Shreter, “Comparison of computational efficiency of explicit and implicit schemes for the sediment transport problem in coastal zones”, Num. Meth. Prog., 16:3 (2015), 328–338
A. I. Sukhinov, A. E. Chistyakov, A. A. Semenyakina, A. Nikitina, “A parallel implementation of sediment transport and bottom surface reconstruction problems on the basis of higher-order difference schemes”, Num. Meth. Prog., 16:2 (2015), 256–267
A. I. Sukhinov, D. S. Khachunts, A. E. Chistyakov, “A mathematical model of pollutant propagation in near-ground atmospheric layer of a coastal region and its software implementation”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1238–1254; Comput. Math. Math. Phys., 55:7 (2015), 1216–1231
A. I. Sukhinov, A. E. Chistyakov, E. Protsenko, “Sediment transport mathematical modeling in a coastal zone using multiprocessor computing systems”, Num. Meth. Prog., 15:4 (2014), 610–620
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, “Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs”, Matem. Mod., 25:12 (2013), 65–82; Math. Models Comput. Simul., 6:4 (2014), 351–363
A. I. Sukhinov, A. E. Chistyakov, A. V. Shishenya, “Error estimation for the diffusion equation solution based on the schemes with weights”, Matem. Mod., 25:11 (2013), 53–64; Math. Models Comput. Simul., 6:3 (2014), 324–331
A. I. Sukhinov, A. V. Nikitina, A. E. Chistyakov, I. S. Semenov, “Mathematical modeling of the formation of suffocation conditions in shallow basins using multiprocessor computing systems”, Num. Meth. Prog., 14:1 (2013), 103–112
A. I. Sukhinov, A. E. Chistyakov, E. F. Timofeeva, A. V. Shishenya, “Mathematical model for calculating coastal wave processes”, Matem. Mod., 24:8 (2012), 32–44; Math. Models Comput. Simul., 5:2 (2013), 122–129
A. I. Sukhinov, A. E. Chistyakov, “Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators”, Matem. Mod., 24:1 (2012), 3–20; Math. Models Comput. Simul., 4:4 (2012), 398–409
A. I. Sukhinov, A. E. Chistyakov, “Parallel implementation of a three-dimensional hydrodynamic model of shallow water basins on supercomputing systems”, Num. Meth. Prog., 13:1 (2012), 290–297
A. I. Sukhinov, A. E. Chistyakov, E. V. Alekseenko, “Numerical realization of three-dimensional model of hydrodynamics for shallow water basins on high-performance system”, Matem. Mod., 23:3 (2011), 3–21; Math. Models Comput. Simul., 3:5 (2011), 562–574
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