numerical methods, mathematical modeling in life science, mathematical modeling in plasma dynamics
Main publications:
Lobanov AI, “Raznostnye skhemy v prostranstve neopredelennykh koeffitsientov i dvoistvennye zadachi lineinogo programmirovaniya”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 58:6 (2018), 859-872
VI Zarnitsina, FI Ataullakhanov, AI Lobanov, OL Morozova, “Dynamics of spatially nonuniform patterning in the model of blood coagulation”, 11, no. 1, 2001, 57-70
Lobanov AI, Starozhilova TK, “The effect of convective flows on blood coagulation processes”, Pathophysiol Haemost Thromb, 34 (2005), 121-134
Belotelov NV, Lobanov AI, “Populyatsionnye modeli s nelineinoi diffuziei”, Matematicheskoe modelirovanie, 9:12 (1997), 43-56
A. A. Aksenov, S. V. Zhluktov, M. D. Kalugina, V. S. Kashirin, A. I. Lobanov, D. V. Shaurman, “Reduced mathematical model of blood coagulation taking into account thrombin activity switching as a basis for estimation of hemodynamic effects and its implementation in FlowVision package”, Computer Research and Modeling, 15:4 (2023), 1039–1067
2.
A. A. Aksenov, M. D. Kalugina, A. I. Lobanov, V. S. Kashirin, “Numerical simulation of fluid flow in a blood pump in the FlowVision software package”, Computer Research and Modeling, 15:4 (2023), 1025–1038
3.
M. D. Kalugina, V. S. Kashirin, A. I. Lobanov, “Validation calculations of hemodynamic problems using the FlowVision software package in parallel mode”, Num. Meth. Prog., 24:2 (2023), 132–141
V. E. Karpov, A. I. Lobanov, “Grid-characteristic difference scheme for solving the Hopf equation based on two different divergent forms”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:2 (2023), 91–103
2022
5.
A. A. Andreeva, M. Anand, A. I. Lobanov, A. V. Nikolaev, M. A. Panteleev, “Using extended ODE systems to investigate the mathematical model of the blood coagulation”, Computer Research and Modeling, 14:4 (2022), 931–951
A. I. Lobanov, F. Kh. Mirov, “On the using the differential schemes to transport equation with drain in grid modeling”, Computer Research and Modeling, 12:5 (2020), 1149–1164
7.
A. I. Lobanov, F. H. Mirov, “Difference schemes for drain transfer equation based on space of undefined coefficients analysis”, Matem. Mod., 32:9 (2020), 53–72; Math. Models Comput. Simul., 13:3 (2021), 395–407
A. I. Lobanov, “Scientific and pedagogical schools founded by A. A. Kholodov”, Computer Research and Modeling, 10:5 (2018), 561–579
9.
A. I. Lobanov, “Finite difference schemes for linear advection equation solving under generalized approximation condition”, Computer Research and Modeling, 10:2 (2018), 181–193
K. S. Kolegov, A. I. Lobanov, “Numerical study of mass transfer in drop and film systems
using a regularized finite difference scheme in evaporative lithography”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:2 (2018), 344–363
A. I. Lobanov, F. Kh. Mirov, “A hybrid difference scheme under generalized approximation condition in the space of undetermined coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018), 73–82; Comput. Math. Math. Phys., 58:8 (2018), 1270–1279
A. I. Lobanov, “Difference schemes in the undetermined coefficient space and dual problems of linear programming”, Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018), 859–872; Comput. Math. Math. Phys., 58:6 (2018), 827–839
L. S. Isachenko, A. I. Lobanov, “A difference scheme for solving the equations of tumor growth subject to the restricted flow of motile cells”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017), 98–106
2016
15.
A. I. Lobanov, “Fibrin polymerization as a phase transition wave: A mathematical model”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 1138–1148; Comput. Math. Math. Phys., 56:6 (2016), 1118–1127
E. A. Pogorelova, A. I. Lobanov, “On calculation of platelet clot growth based on �advection-diffusion� equations”, Matem. Mod., 27:6 (2015), 54–66; Math. Models Comput. Simul., 8:1 (2016), 54–62
2014
17.
A. Lin, A. I. Lobanov, E. A. Pogorelova, “Mathematical models for blood clot growth based on “advection-diffusion” and Fokker-Planck equations”, Computer Research and Modeling, 6:2 (2014), 271–283
2012
18.
E. A. Pogorelova, A. I. Lobanov, “High performance computing for blood modeling”, Computer Research and Modeling, 4:4 (2012), 917–941
K. S. Kolegov, A. I. Lobanov, “Comparing of a quasi-steady and non-steady mathematical models of fluid flow in evaporating drop”, Computer Research and Modeling, 4:4 (2012), 811–825
N. A. Zavyalova, A. I. Lobanov, “Numerical calculations the cuprum vapours liner dynamics”, Matem. Mod., 23:4 (2011), 103–119; Math. Models Comput. Simul., 3:6 (2011), 732–743
V. N. Buravtsev, A. I. Lobanov, A. V. Ukrainets, “Mathematical model of platelet thrombus formation”, Matem. Mod., 21:3 (2009), 109–119; Math. Models Comput. Simul., 2:1 (2010), 55–62
V. E. Karpov, V. I. Kosarev, A. I. Lobanov, A. V. Toltobrov, “On the calculation of the plasma dynamics in the RS-20 POS device using the personal computer cluster”, Matem. Mod., 19:4 (2007), 45–61
V. E. Karpov, A. I. Lobanov, “Parallel computations in the physicochemical hydrodynamic problems: approaches and ideas”, Matem. Mod., 18:11 (2006), 95–103
2004
27.
M. P. Krutikova, I. A. Kurilenko, A. I. Lobanov, T. K. Starogilova, “Two-dimensional stationary sructures in the mathematical model of the blood coagulation with the hypothesis of thrombin activity switching”, Matem. Mod., 16:12 (2004), 85–95
A. S. Kingsep, I. V. Kovalenko, A. I. Lobanov, K. V. Chukbar, “Results of the plasma opening switch dynamics
simulations in the emhd regime”, Matem. Mod., 16:10 (2004), 93–106
A. I. Lobanov, T. K. Starogilova, V. I. Zarnitsina, F. I. Ataullakhanov, “Comparison of two mathematical models for spatial phenomena of the blood coagulation”, Matem. Mod., 15:1 (2003), 14–28
V. E. Karpov, A. I. Lobanov, A. R. Seroglazov, “On the calculation of the electric field in the RS-20 POS device using the personal computer cluster”, Matem. Mod., 14:11 (2002), 54–62
31.
A. I. Lobanov, R. A. Pashkov, I. B. Petrov, A. A. Polezhaev, “Spatial patterns formed by chemotactic bacteria Escherichia coli”, Matem. Mod., 14:10 (2002), 17–26
Yu. G. Kalinin, A. S. Kingsep, V. I. Kosarev, A. I. Lobanov, “Transport model of gas impurities spread in urban area”, Matem. Mod., 12:11 (2000), 47–66
A. P. Guzevatykh, A. I. Lobanov, G. T. Guria, “Thershold intervascular blood coagulation as a result of stenosis development”, Matem. Mod., 12:4 (2000), 39–60
A. L. Chulichkov, A. V. Nikolaev, A. I. Lobanov, G. T. Guria, “Threshold activation of blood coagulation and thrombus growth under flow conditions”, Matem. Mod., 12:3 (2000), 75–96
A. I. Lobanov, T. K. Starogilova, “Qualitative investigation of pattern formation at the initial stage in the reaction-diffusion model”, Matem. Mod., 9:12 (1997), 3–15
T. K. Starogilova, A. I. Lobanov, G. T. Guria, “Numerical research of two-dimensional pattern formation in model of excitable active medium”, Matem. Mod., 9:2 (1997), 21–24
V. I. Kosarev, A. I. Lobanov, “On stability of regular solutions of one-dimensional $z$-pinch dynamic problem”, Matem. Mod., 8:5 (1996), 106–112
1993
42.
A. I. Lobanov, I. B. Petrov, “Simultaneous numerical solution of the compressed plasma effects and railgun electrodes problems”, Matem. Mod., 5:10 (1993), 48–56
V. I. Kosarev, A. I. Lobanov, “Self-similar solutions radiative MHD problems”, Matem. Mod., 5:6 (1993), 104–122
2024
44.
A. V. Gasnikov, A. I. Lobanov, Y. A. Kholodov, A. V. Schuplev, M. V. Yashina, “Editor�s note”, Computer Research and Modeling, 16:1 (2024), 5–10
2023
45.
A. V. Gasnikov, A. I. Lobanov, “Editor�s note”, Computer Research and Modeling, 15:2 (2023), 229–233
2022
46.
A. V. Gasnikov, A. I. Lobanov, “Editor�s note”, Computer Research and Modeling, 14:2 (2022), 209–212
2021
47.
A. V. Koganov, A. I. Lobanov, G. Yu. Riznichenko, A. B. Rubin, P. V. Fursova, S. S. Khruschev, “In memory of Alexey Vladimirovich Borisov”, Computer Research and Modeling, 13:1 (2021), 15–18
2018
48.
A. V. Gasnikov, A. I. Lobanov, Ya. A. Kholodov, “Editor's note”, Computer Research and Modeling, 10:3 (2018), 279–283
49.
B. N. Chetverushkin, E. E. Tyrtyshnikov, N. N. Kudryavtsev, V. P. Dymnikov, Yu. I. Zhuravlev, E. E. Son, K. V. Rudakov, Yu. G. Evtushenko, A. B. Zhizhchenko, Yu. V. Gulyaev, A. S. Bugaev, A. N. Konovalov, V. P. Maslov, V. M. Berdyshev, A. L. Semenov, E. I. Moiseev, I. B. Petrov, Yu. A. Flerov, I. G. Pospelov, S. I. Kabanikhin, M. V. Iakobovski, V. F. Tishkin, Yu. V. Vassilevski, A. A. Shananin, V. A. Gushchin, I. S. Nikitin, A. I. Lobanov, V. V. Demchenko, E. L. Stupitsky, V. L. Yakushev, A. V. Babakov, Yu. D. Shevelev, S. A. Ishanov, V. S. Ryaben'kii, “In memory of Aleksandr Sergeevich Kholodov”, Matem. Mod., 30:1 (2018), 135–136
2017
50.
I. B. Petrov, B. N. Chetverushkin, Vl. V. Voevodin, V. A. Gushchin, K. V. Rudakov, A. I. Tolstykh, A. A. Shananin, A. I. Lobanov, G. Yu. Riznichenko, A. V. Borisov, A. V. Koganov, V. I. Kosarev, S. A. Ishanov, I. S. Nikitin, V. B. Pirogov, A. A. Polezhaev, G. A. Tirskii, I. G. Tormasov, S. S. Simakov, E. L. Stupitsky, P. S. Utkin, Ya. A. Kholodov, V. L. Yakushev, “In memory of A. S. Kholodov”, Computer Research and Modeling, 9:5 (2017), 677–678
2010
51.
A. I. Lobanov, Ya. A. Kholodov, “Editor's note”, Computer Research and Modeling, 2:3 (2010), 227–228
52.
È. L. Akim, O. M. Belotserkovskiĭ, K. V. Brushlinskiĭ, S. K. Godunov, V. F. Dyachenko, V. T. Zhukov, M. K. Kerimov, A. I. Lobanov, M. V. Maslennikov, I. B. Petrov, Yu. P. Popov, G. P. Prokopov, V. S. Ryaben'kiĭ, L. G. Strakhovskaya, A. S. Kholodov, B. N. Chetverushkin, T. M. Eneev, “In memory of Radiĭ Petrovich Fedorenko (1930–2010)”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010), 1532–1536; Comput. Math. Math. Phys., 50:8 (2010), 1459–1463