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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
O. P. Bobrovskaya, T. V. Gavrilenko, V. A. Galkin, “The traffic flow temperature concept”, Russian Journal of Cybernetics, 5:2 (2024), 26–34  |
| 2. |
T. V. Gavrilenko, V. A. Galkin, “Intuitive logical systems and their applications in artificial intelligence technologies”, Russian Journal of Cybernetics, 5:1 (2024), 8–16 |
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2023 |
| 3. |
O. P. Bobrovskaya, T. V. Gavrilenko, V. A. Galkin, “Swarm intelligence algorithm of traffic”, Artificial Intelligence and Decision Making, 2023, no. 4, 58–70  |
| 4. |
V. A. Galkin, A. O. Dubovik, “On one class of exact solutions of the Navie–Stokes system of equations for an incompressible fluid”, Matem. Mod., 35:8 (2023), 3–13 ; Math. Models Comput. Simul., 15:1 suppl. (2023), S78–S85 |
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| 5. |
A. D. Smorodinov, T. V. Gavrilenko, V. A. Galkin, “Theoretical foundations of artificial neural network application to approximation and interpolation problems”, Russian Journal of Cybernetics, 4:4 (2023), 41–53 |
| 6. |
T. N. Sadykov, V. A. Galkin, D. A. Morgun, “Using Python for numerical solution of the heat equation initial boundary value problems and visualization”, Russian Journal of Cybernetics, 4:3 (2023), 31–38 |
| 7. |
V. A. Galkin, A. D. Smorodinov, D. A. Morgun, “Solution of the Navier–Stokes equation for colliding jets”, Russian Journal of Cybernetics, 4:2 (2023), 8–15 |
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| 8. |
A. D. Smorodinov, T. V. Gavrilenko, V. A. Galkin, “Applicability of genetic algorithms for determining the weighting coefficients of an artificial neural network with one hidden layer”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 43:2 (2023), 69–86 |
| 9. |
V. A. Galkin, “On a class of exact solutions to the incompressible Navier–Stokes system in a ball and a spherical layer”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023), 1000–1005 ; Comput. Math. Math. Phys., 63:6 (2023), 1064–1069 |
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2022 |
| 10. |
V. B. Betelin, V. A. Galkin, “Mathematical and computational problems associated with the formation of structures in complex systems”, Computer Research and Modeling, 14:4 (2022), 805–815 |
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| 11. |
V. B. Betelin, V. A. Galkin, “On fixed points of continuous mappings associated with construction of artificial neural networks”, Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022), 22–25  ; Dokl. Math., 106:3 (2022), 423–425 |
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| 12. |
V. A. Galkin, T. V. Gavrilenko, A. D. Smorodinov, O. P. Bobrovskaya, “Swarm intelligence algorithms applicability for minimizing various functions”, Russian Journal of Cybernetics, 3:4 (2022), 84–97 |
| 13. |
D. A. Bykovskikh, V. A. Galkin, “Adiabatic compression of ideal collisionless gas in 3D space”, Russian Journal of Cybernetics, 3:4 (2022), 54–64 |
| 14. |
V. A. Galkin, A. O. Dubovik, “Simulation of layered flow in an infinite cylinder with a time-varying radius”, Russian Journal of Cybernetics, 3:4 (2022), 14–23 |
| 15. |
V. A. Galkin, D. A. Morgun, “Modeling and visualization of particle trajectories driven by an asymmetric potential”, Russian Journal of Cybernetics, 3:3 (2022), 8–13 |
| 16. |
V. A. Galkin, “On fixed points of periodic continuous mappings to plane ${\mathbb R}^2$ and sphere $S^{2}$”, Russian Journal of Cybernetics, 3:2 (2022), 8–10 |
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| 17. |
V. A. Galkin, T. V. Gavrilenko, A. D. Smorodinov, “Approaches to solving systems of linear algebraic equations using neural networks”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 153–164 |
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| 18. |
O. P. Bobrovskaya, T. V. Gavrilenko, V. A. Galkin, “Transport flow model based on interaction of particles with action potential”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 72–87 |
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| 19. |
V. A. Galkin, T. V. Gavrilenko, A. D. Smorodinov, “Some aspects of approximation and interpolation of functions artificial neural networks”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 38:1 (2022), 54–73 |
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| 20. |
V. A. Galkin, A. O. Dubovik, “Modeling of three-dimensional potential fluid flow in a time-varying domain”, Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022), 1180–1186 ; Comput. Math. Math. Phys., 62:7 (2022), 1152–1157 |
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2021 |
| 21. |
V. B. Betelin, V. A. Galkin, “Reducing the dimensionality of grid approximations”, Russian Journal of Cybernetics, 2:4 (2021), 75–77 |
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| 22. |
V. A. Galkin, “Mathematical problems of collaborating robotic vehicle traffic”, Russian Journal of Cybernetics, 2:4 (2021), 67–74 |
| 23. |
V. B. Betelin, V. A. Galkin, “Mathematical problems of artificial intelligence and artificial neural networks”, Russian Journal of Cybernetics, 2:4 (2021), 6–14 |
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| 24. |
V. B. Betelin, V. A. Galkin, A. O. Dubovik, “Some mathematical aspects of constructing artificial neural networks”, Russian Journal of Cybernetics, 2:3 (2021), 19–22 |
| 25. |
V. B. Betelin, V. A. Galkin, T. V. Gavrilenko, A. K. Dibizhev, O. V. Kovalenko, N. F. Nikitin, V. P. Solovyov, “Issues of artificial intelligence application to the domestic high-tech industries (critical components of the Russian society)”, Russian Journal of Cybernetics, 2:3 (2021), 8–18 |
| 26. |
Vladimir B. Betelin, Valerii A. Galkin, Alexei V. Ryakhovskiy, “Local and distributed models of the coronavirus spread”, Russian Journal of Cybernetics, 2:2 (2021), 12–20 |
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2020 |
| 27. |
V. B. Betelin, V. A. Galkin, A. O. Dubovik, “Exact solutions of incompressible Navier–Stokes equations in the case of oil and gas industrial problems”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 13–16  ; Dokl. Math., 102:3 (2020), 456–459 |
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| 28. |
V. A. Galkin, A. O. Dubovik, “About modeling a layered viscous conductive fluid flow in a region changing in time”, Matem. Mod., 32:4 (2020), 31–42 ; Math. Models Comput. Simul., 12:6 (2020), 942–949 |
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| 29. |
N. R. Urmantseva, V. A. Galkin, K. V. Mazayshvili, M. A. Shushaev, T. V. Gavrilenko, “Conformity of vein merging angles to the rules of Roux in the mathematical interpretation of Murray”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 31:2 (2020), 79–91 |
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2017 |
| 30. |
V. A. Galkin, A. O. Dubovik, A. A. Epifanov, “Approximate methods for equations of incompressible fluid”, Zh. Vychisl. Mat. Mat. Fiz., 57:2 (2017), 275–284 ; Comput. Math. Math. Phys., 57:2 (2017), 272–280   |
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2014 |
| 31. |
I. V. Bychin, V. A. Galkin, T. V. Gavrilenko, A. V. Gorelikov, A. V. Ryakhovsky, “Software for numerical simulation of convection in spherical shells for hybrid CPU/GPU computing systems”, Matem. Mod., 26:10 (2014), 95–108 ; Math. Models Comput. Simul., 7:3 (2015), 271–280 |
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