Lobanov Aleksei Ivanovich

Publications in Math-Net.Ru

1. On one variant of the W-method based on the CROS method
   
   Mat. Model., 37:2 (2025),  155–169
2. 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
3. Numerical simulation of fluid flow in a blood pump in the FlowVision software package
   
   Computer Research and Modeling, 15:4 (2023),  1025–1038
4. Validation calculations of hemodynamic problems using the FlowVision software package in parallel mode
   
   Num. Meth. Prog., 24:2 (2023),  132–141
5. 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
6. Using extended ODE systems to investigate the mathematical model of the blood coagulation
   
   Computer Research and Modeling, 14:4 (2022),  931–951
7. On the using the differential schemes to transport equation with drain in grid modeling
   
   Computer Research and Modeling, 12:5 (2020),  1149–1164
8. Difference schemes for drain transfer equation based on space of undefined coefficients analysis
   
   Mat. Model., 32:9 (2020),  53–72
9. Scientific and pedagogical schools founded by A. A. Kholodov
   
   Computer Research and Modeling, 10:5 (2018),  561–579
10. Finite difference schemes for linear advection equation solving under generalized approximation condition
    
    Computer Research and Modeling, 10:2 (2018),  181–193
11. 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
12. A hybrid difference scheme under generalized approximation condition in the space of undetermined coefficients
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  73–82
13. Difference schemes in the undetermined coefficient space and dual problems of linear programming
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018),  859–872
14. Analysis of point model of fibrin polymerization
    
    Computer Research and Modeling, 9:2 (2017),  247–258
15. 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
16. Fibrin polymerization as a phase transition wave: A mathematical model
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016),  1138–1148
17. On calculation of platelet clot growth based on “advection-diffusion” equations
    
    Mat. Model., 27:6 (2015),  54–66
18. Mathematical models for blood clot growth based on “advection-diffusion” and Fokker-Planck equations
    
    Computer Research and Modeling, 6:2 (2014),  271–283
19. High performance computing for blood modeling
    
    Computer Research and Modeling, 4:4 (2012),  917–941
20. 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
21. Flow relaxation method in solving quasilinear parabolic equations
    
    Computer Research and Modeling, 3:1 (2011),  47–53
22. Plasma dynamic simulation in microsecond plasma opening switch
    
    Mat. Model., 23:8 (2011),  137–156
23. Numerical calculations the cuprum vapours liner dynamics
    
    Mat. Model., 23:4 (2011),  103–119
24. Model of cellular automata
    
    Computer Research and Modeling, 2:3 (2010),  273–293
25. Mathematical model of platelet thrombus formation
    
    Mat. Model., 21:3 (2009),  109–119
26. On the calculation of the plasma dynamics in the RS-20 POS device using the personal computer cluster
    
    Mat. Model., 19:4 (2007),  45–61
27. Parallel computations in the physicochemical hydrodynamic problems: approaches and ideas
    
    Mat. Model., 18:11 (2006),  95–103
28. Two-dimensional stationary sructures in the mathematical model of the blood coagulation with the hypothesis of thrombin activity switching
    
    Mat. Model., 16:12 (2004),  85–95
29. Results of the plasma opening switch dynamics simulations in the emhd regime
    
    Mat. Model., 16:10 (2004),  93–106
30. Comparison of two mathematical models for spatial phenomena of the blood coagulation
    
    Mat. Model., 15:1 (2003),  14–28
31. On the calculation of the electric field in the RS-20 POS device using the personal computer cluster
    
    Mat. Model., 14:11 (2002),  54–62
32. Spatial patterns formed by chemotactic bacteria Escherichia coli
    
    Mat. Model., 14:10 (2002),  17–26
33. Transport model of gas impurities spread in urban area
    
    Mat. Model., 12:11 (2000),  47–66
34. Thershold intervascular blood coagulation as a result of stenosis development
    
    Mat. Model., 12:4 (2000),  39–60
35. Threshold activation of blood coagulation and thrombus growth under flow conditions
    
    Mat. Model., 12:3 (2000),  75–96
36. Rsonance phenomena in reaction-diffusion systems
    
    Mat. Model., 11:7 (1999),  75–82
37. On the model of $z$-pinch instability
    
    Mat. Model., 10:12 (1998),  87–95
38. Population models with non-linear diffusion
    
    Mat. Model., 9:12 (1997),  43–56
39. Qualitative investigation of pattern formation at the initial stage in the reaction-diffusion model
    
    Mat. Model., 9:12 (1997),  3–15
40. Numerical investigation of pattern formation in blood coagulation
    
    Mat. Model., 9:8 (1997),  83–95
41. Numerical research of two-dimensional pattern formation in model of excitable active medium
    
    Mat. Model., 9:2 (1997),  21–24
42. On stability of regular solutions of one-dimensional $z$-pinch dynamic problem
    
    Mat. Model., 8:5 (1996),  106–112
43. Simultaneous numerical solution of the compressed plasma effects and railgun electrodes problems
    
    Mat. Model., 5:10 (1993),  48–56
44. Self-similar solutions radiative MHD problems
    
    Mat. Model., 5:6 (1993),  104–122


45. Academician Oleg Mikhailovich Belotserkovskii (on his 100th birthday)
    
    Mat. Model., 37:6 (2025),  194–196
46. Editor’s note
    
    Computer Research and Modeling, 16:1 (2024),  5–10
47. Editor’s note
    
    Computer Research and Modeling, 15:2 (2023),  229–233
48. Editor’s note
    
    Computer Research and Modeling, 14:2 (2022),  209–212
49. In memory of Alexey Vladimirovich Borisov
    
    Computer Research and Modeling, 13:1 (2021),  15–18
50. Editor's note
    
    Computer Research and Modeling, 10:3 (2018),  279–283
51. In memory of Aleksandr Sergeevich Kholodov
    
    Mat. Model., 30:1 (2018),  135–136
52. In memory of A. S. Kholodov
    
    Computer Research and Modeling, 9:5 (2017),  677–678
53. Editor's note
    
    Computer Research and Modeling, 2:3 (2010),  227–228
54. In memory of Radiĭ Petrovich Fedorenko (1930–2010)
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1532–1536