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. 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
2.
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
2018
3.
A. I. Lobanov, “Scientific and pedagogical schools founded by A. A. Kholodov”, Computer Research and Modeling, 10:5 (2018), 561–579
4.
A. I. Lobanov, “Finite difference schemes for linear advection equation solving under generalized approximation condition”, Computer Research and Modeling, 10:2 (2018), 181–193
5.
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
6.
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
7.
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
2017
8.
A. A. Andreeva, A. V. Nikolaev, A. I. Lobanov, “Analysis of point model of fibrin polymerization”, Computer Research and Modeling, 9:2 (2017), 247–258
9.
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
10.
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
2015
11.
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
12.
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
13.
E. A. Pogorelova, A. I. Lobanov, “High performance computing for blood modeling”, Computer Research and Modeling, 4:4 (2012), 917–941
14.
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
2011
15.
V. A. Usenko, A. I. Lobanov, “Flow relaxation method in solving quasilinear parabolic equations”, Computer Research and Modeling, 3:1 (2011), 47–53
16.
V. E. Karpov, A. I. Lobanov, “Plasma dynamic simulation in microsecond plasma opening switch”, Matem. Mod., 23:8 (2011), 137–156
17.
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
2010
18.
A. I. Lobanov, “Model of cellular automata”, Computer Research and Modeling, 2:3 (2010), 273–293
2009
19.
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
2007
20.
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
2006
21.
V. E. Karpov, A. I. Lobanov, “Parallel computations in the physicochemical hydrodynamic problems: approaches and ideas”, Matem. Mod., 18:11 (2006), 95–103
2004
22.
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
23.
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
2003
24.
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
2002
25.
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
26.
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
2000
27.
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
28.
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
29.
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
1999
30.
A. I. Lobanov, T. K. Starogilova, A. P. Chernyaev, “Rsonance phenomena in reaction-diffusion systems”, Matem. Mod., 11:7 (1999), 75–82
1998
31.
A. I. Lobanov, “On the model of $z$-pinch instability”, Matem. Mod., 10:12 (1998), 87–95
1997
32.
N. V. Belotelov, A. I. Lobanov, “Population models with non-linear diffusion”, Matem. Mod., 9:12 (1997), 43–56
33.
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
34.
A. I. Lobanov, T. K. Starogilova, G. T. Guria, “Numerical investigation of pattern formation in blood coagulation”, Matem. Mod., 9:8 (1997), 83–95
35.
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
1996
36.
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
37.
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
38.
V. I. Kosarev, A. I. Lobanov, “Self-similar solutions radiative MHD problems”, Matem. Mod., 5:6 (1993), 104–122
2021
39.
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
40.
A. V. Gasnikov, A. I. Lobanov, Ya. A. Kholodov, “Editor's note”, Computer Research and Modeling, 10:3 (2018), 279–283
41.
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
42.
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
43.
A. I. Lobanov, Ya. A. Kholodov, “Editor's note”, Computer Research and Modeling, 2:3 (2010), 227–228
44.
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
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