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Galkin, Valerii Alekseevich
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person102977
List of publications on Google Scholar
https://orcid.org/0000-0002-9721-4026

Publications in Math-Net.Ru Citations
2025
1. M. T. Gavrilenko, V. A. Galkin, T. V. Gavrilenko, “Simulation of virus detection and immune cell behavior control”, Russian Journal of Cybernetics, 6:3 (2025),  6–16  mathnet
2. V. A. Galkin, “Dynamic behavior of impurities in the flow field of a stratified viscous incompressible fluid”, Russian Journal of Cybernetics, 6:2 (2025),  22–26  mathnet
3. V. A. Galkin, “The choice of correctness classes”, Russian Journal of Cybernetics, 6:1 (2025),  12–15  mathnet
2024
4. V. B. Betelin, V. A. Galkin, “Construction of an artificial neural network for solving the incompressible Navier–Stokes equations”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024),  115–119  mathnet  elib; Dokl. Math., 109:3 (2024), 287–290
5. O. P. Bobrovskaya, T. V. Gavrilenko, V. A. Galkin, “The traffic flow temperature concept”, Russian Journal of Cybernetics, 5:2 (2024),  26–34  mathnet
6. 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  mathnet 1
7. V. A. Galkin, “On the structure of axisymmetric helical solutions to the incompressible Navier–Stokes system”, Zh. Vychisl. Mat. Mat. Fiz., 64:5 (2024),  780–790  mathnet  elib; Comput. Math. Math. Phys., 64:5 (2024), 1004–1014 3
2023
8. O. P. Bobrovskaya, T. V. Gavrilenko, V. A. Galkin, “Swarm intelligence algorithm of traffic”, Artificial Intelligence and Decision Making, 2023, no. 4,  58–70  mathnet  elib
9. V. A. Galkin, A. O. Dubovik, “On one class of exact solutions of the Navie–Stokes system of equations for an incompressible fluid”, Mat. Model., 35:8 (2023),  3–13  mathnet; Math. Models Comput. Simul., 15:1 suppl. (2023), S78–S85 4
10. 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  mathnet
11. 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  mathnet
12. 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  mathnet 4
13. 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  mathnet
14. 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  mathnet  elib; Comput. Math. Math. Phys., 63:6 (2023), 1064–1069 7
2022
15. 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  mathnet 5
16. 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  mathnet  mathscinet  elib; Dokl. Math., 106:3 (2022), 423–425 2
17. 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  mathnet
18. D. A. Bykovskikh, V. A. Galkin, “Adiabatic compression of ideal collisionless gas in 3D space”, Russian Journal of Cybernetics, 3:4 (2022),  54–64  mathnet
19. 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  mathnet
20. 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  mathnet
21. 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  mathnet 1
22. 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  mathnet  mathscinet 1
23. 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  mathnet 3
24. 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  mathnet  mathscinet 3
25. 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  mathnet  elib; Comput. Math. Math. Phys., 62:7 (2022), 1152–1157 3
2021
26. V. B. Betelin, V. A. Galkin, “Reducing the dimensionality of grid approximations”, Russian Journal of Cybernetics, 2:4 (2021),  75–77  mathnet 1
27. V. A. Galkin, “Mathematical problems of collaborating robotic vehicle traffic”, Russian Journal of Cybernetics, 2:4 (2021),  67–74  mathnet
28. V. B. Betelin, V. A. Galkin, “Mathematical problems of artificial intelligence and artificial neural networks”, Russian Journal of Cybernetics, 2:4 (2021),  6–14  mathnet 7
29. 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  mathnet
30. 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  mathnet
31. 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  mathnet 1
2020
32. 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  mathnet  zmath  elib; Dokl. Math., 102:3 (2020), 456–459 6
33. V. A. Galkin, A. O. Dubovik, “About modeling a layered viscous conductive fluid flow in a region changing in time”, Mat. Model., 32:4 (2020),  31–42  mathnet; Math. Models Comput. Simul., 12:6 (2020), 942–949 6
34. 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  mathnet 1
2017
35. 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  mathnet  elib; Comput. Math. Math. Phys., 57:2 (2017), 272–280  isi  scopus 1
2014
36. 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”, Mat. Model., 26:10 (2014),  95–108  mathnet; Math. Models Comput. Simul., 7:3 (2015), 271–280  scopus

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