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Publications in Math-Net.Ru
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Mathematical models and methods of forecasting biological kinetics processes considering the oxygen regime
Vestnik YuUrGU. Ser. Mat. Model. Progr., 18:2 (2025), 52–65
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Mathematical modeling of hydrodynamics problems of the Azov Sea on a multiprocessor computer system
Computer Research and Modeling, 16:3 (2024), 647–672
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Using parallel computing to evaluate the transport of pollutants in shallow waters
Izv. Saratov Univ. Math. Mech. Inform., 24:2 (2024), 298–315
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Analytical and numerical study of the problem of plankton population dynamics in the presence of microplastics
Mat. Model., 36:3 (2024), 95–114
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Solving of the biological kinetics problem on a heterogeneous multiprocessor computer system
J. Comp. Eng. Math., 10:2 (2023), 3–16
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A method of solving grid equations for hydrodynamic problems in flat areas
Mat. Model., 35:3 (2023), 35–58
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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
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Solving grid equations using the alternating-triangular method on a graphics accelerator
Vestn. YuUrGU. Ser. Vych. Matem. Inform., 12:2 (2023), 78–92
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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
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Regularized difference scheme for solving hydrodynamic problems
Mat. Model., 34:2 (2022), 85–100
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Supercomputer simulation of hydrobiological processes of coastal systems
Mat. Model., 34:1 (2022), 81–103
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Mathematical modeling of hazardous natural phenomena in a shallow basin
Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022), 270–288
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Mathematical modeling of biogeochemical cycles in coastal systems of the South of Russia
Mat. Model., 33:3 (2021), 20–38
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Local two-dimensional splitting schemes for 3D suspended matter transport problem parallel solution
Mathematical Physics and Computer Simulation, 24:2 (2021), 38–53
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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
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Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone
Mat. Model., 32:2 (2020), 3–23
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Computational aspects of mathematical modeling of the shallow water hydrobiological processes
Num. Meth. Prog., 21:4 (2020), 452–469
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Parallel algorithms for solving the problem of coastal bottom relief dynamics
Num. Meth. Prog., 21:3 (2020), 196–206
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Difference scheme for solving problems of hydrodynamics for large grid Peclet numbers
Computer Research and Modeling, 11:5 (2019), 833–848
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Accounting method of filling cells for the hydrodynamics problems solution with complex geometry of the computational domain
Mat. Model., 31:8 (2019), 79–100
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CABARET difference scheme with improved dispersion properties
Mat. Model., 31:3 (2019), 83–96
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A difference scheme with the optimal weight for the diffusion-convection equation
Num. Meth. Prog., 20:3 (2019), 283–292
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Upwind and Standard Leapfrog Difference Schemes
Num. Meth. Prog., 20:2 (2019), 170–181
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Supercomputer simulation of oil spills in the Azov Sea
Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:3 (2019), 115–129
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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
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Predictive modelling of coastal hydrophysical processes in a multiprocession system based on explicit schemes
Mat. Model., 30:3 (2018), 83–100
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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
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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
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Game-theoretic regulations for control mechanisms of sustainable development for shallow water ecosystems
Avtomat. i Telemekh., 2017, no. 6, 122–137
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Error solving the wave equation based on the scheme with weights
Mat. Model., 29:4 (2017), 21–29
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Solution of the matter transport problem at high Peclet numbers
Num. Meth. Prog., 18:4 (2017), 371–380
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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
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Optimal control of sustainable development in biological rehabilitation of the Azov Sea
Mat. Model., 28:7 (2016), 96–106
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Mathematical modeling of eutrophication processes in shallow waters on multiprocessor computer system
Vestn. YuUrGU. Ser. Vych. Matem. Inform., 5:3 (2016), 36–53
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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
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Differential game of fish kill prevention in shallow waterbodies
UBS, 55 (2015), 343–361
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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
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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
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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
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Sediment transport mathematical modeling in a coastal zone using multiprocessor computing systems
Num. Meth. Prog., 15:4 (2014), 610–620
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Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs
Mat. Model., 25:12 (2013), 65–82
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Error estimation for the diffusion equation solution based on the schemes with weights
Mat. Model., 25:11 (2013), 53–64
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Mathematical modeling of the formation of suffocation conditions in shallow basins using multiprocessor computing systems
Num. Meth. Prog., 14:1 (2013), 103–112
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Numerical simulation of biological remediation Azov Sea
Mat. Model., 24:9 (2012), 3–21
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Mathematical model for calculating coastal wave processes
Mat. Model., 24:8 (2012), 32–44
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Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators
Mat. Model., 24:1 (2012), 3–20
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Parallel implementation of a three-dimensional hydrodynamic model of shallow water basins on supercomputing systems
Num. Meth. Prog., 13:1 (2012), 290–297
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Numerical realization of three-dimensional model of hydrodynamics for shallow water basins on high-performance system
Mat. Model., 23:3 (2011), 3–21
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