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Chistyakov Alexander Evgenjevich

Publications in Math-Net.Ru

  1. Mathematical models and methods of forecasting biological kinetics processes considering the oxygen regime

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 18:2 (2025),  52–65
  2. Mathematical modeling of hydrodynamics problems of the Azov Sea on a multiprocessor computer system

    Computer Research and Modeling, 16:3 (2024),  647–672
  3. Using parallel computing to evaluate the transport of pollutants in shallow waters

    Izv. Saratov Univ. Math. Mech. Inform., 24:2 (2024),  298–315
  4. Analytical and numerical study of the problem of plankton population dynamics in the presence of microplastics

    Mat. Model., 36:3 (2024),  95–114
  5. Solving of the biological kinetics problem on a heterogeneous multiprocessor computer system

    J. Comp. Eng. Math., 10:2 (2023),  3–16
  6. A method of solving grid equations for hydrodynamic problems in flat areas

    Mat. Model., 35:3 (2023),  35–58
  7. 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
  8. Solving grid equations using the alternating-triangular method on a graphics accelerator

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 12:2 (2023),  78–92
  9. 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
  10. Regularized difference scheme for solving hydrodynamic problems

    Mat. Model., 34:2 (2022),  85–100
  11. Supercomputer simulation of hydrobiological processes of coastal systems

    Mat. Model., 34:1 (2022),  81–103
  12. Mathematical modeling of hazardous natural phenomena in a shallow basin

    Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022),  270–288
  13. Mathematical modeling of biogeochemical cycles in coastal systems of the South of Russia

    Mat. Model., 33:3 (2021),  20–38
  14. Local two-dimensional splitting schemes for 3D suspended matter transport problem parallel solution

    Mathematical Physics and Computer Simulation, 24:2 (2021),  38–53
  15. 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
  16. Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone

    Mat. Model., 32:2 (2020),  3–23
  17. Computational aspects of mathematical modeling of the shallow water hydrobiological processes

    Num. Meth. Prog., 21:4 (2020),  452–469
  18. Parallel algorithms for solving the problem of coastal bottom relief dynamics

    Num. Meth. Prog., 21:3 (2020),  196–206
  19. Difference scheme for solving problems of hydrodynamics for large grid Peclet numbers

    Computer Research and Modeling, 11:5 (2019),  833–848
  20. Accounting method of filling cells for the hydrodynamics problems solution with complex geometry of the computational domain

    Mat. Model., 31:8 (2019),  79–100
  21. CABARET difference scheme with improved dispersion properties

    Mat. Model., 31:3 (2019),  83–96
  22. A difference scheme with the optimal weight for the diffusion-convection equation

    Num. Meth. Prog., 20:3 (2019),  283–292
  23. Upwind and Standard Leapfrog Difference Schemes

    Num. Meth. Prog., 20:2 (2019),  170–181
  24. Supercomputer simulation of oil spills in the Azov Sea

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:3 (2019),  115–129
  25. 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
  26. Predictive modelling of coastal hydrophysical processes in a multiprocession system based on explicit schemes

    Mat. Model., 30:3 (2018),  83–100
  27. 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
  28. 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
  29. Game-theoretic regulations for control mechanisms of sustainable development for shallow water ecosystems

    Avtomat. i Telemekh., 2017, no. 6,  122–137
  30. Error solving the wave equation based on the scheme with weights

    Mat. Model., 29:4 (2017),  21–29
  31. Solution of the matter transport problem at high Peclet numbers

    Num. Meth. Prog., 18:4 (2017),  371–380
  32. 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
  33. Optimal control of sustainable development in biological rehabilitation of the Azov Sea

    Mat. Model., 28:7 (2016),  96–106
  34. Mathematical modeling of eutrophication processes in shallow waters on multiprocessor computer system

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 5:3 (2016),  36–53
  35. 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
  36. Differential game of fish kill prevention in shallow waterbodies

    UBS, 55 (2015),  343–361
  37. 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
  38. 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
  39. 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
  40. Sediment transport mathematical modeling in a coastal zone using multiprocessor computing systems

    Num. Meth. Prog., 15:4 (2014),  610–620
  41. Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs

    Mat. Model., 25:12 (2013),  65–82
  42. Error estimation for the diffusion equation solution based on the schemes with weights

    Mat. Model., 25:11 (2013),  53–64
  43. Mathematical modeling of the formation of suffocation conditions in shallow basins using multiprocessor computing systems

    Num. Meth. Prog., 14:1 (2013),  103–112
  44. Numerical simulation of biological remediation Azov Sea

    Mat. Model., 24:9 (2012),  3–21
  45. Mathematical model for calculating coastal wave processes

    Mat. Model., 24:8 (2012),  32–44
  46. Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators

    Mat. Model., 24:1 (2012),  3–20
  47. Parallel implementation of a three-dimensional hydrodynamic model of shallow water basins on supercomputing systems

    Num. Meth. Prog., 13:1 (2012),  290–297
  48. Numerical realization of three-dimensional model of hydrodynamics for shallow water basins on high-performance system

    Mat. Model., 23:3 (2011),  3–21


© Steklov Math. Inst. of RAS, 2026