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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
Yu. A. Volkov, F. N. Voronin, O. S. Kosarev, A. V. Ivanov, M. B. Markov, E. B. Savenkov, D. N. Sadovnichiy, I. A. Tarakanov, “About the generation of electric discharge in dielectric by photon flux”, Keldysh Institute preprints, 2024, 057, 17 pp. |
2. |
F. N. Voronin, M. B. Markov, I. A. Tarakanov, “Algorithm for numerical solution of Maxwell's equations for modeling disturbances of the magnetic field by an ionized medium”, Keldysh Institute preprints, 2024, 052, 16 pp. |
3. |
A. V. Berezin, Yu. A. Volkov, Sh. A. Kazymov, M. B. Markov, I. A. Tarakanov, “The model of continuous photon scattering in one-dimensional approximation”, Keldysh Institute preprints, 2024, 042, 20 pp. |
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2023 |
4. |
M. B. Markov, O. S. Kosarev, S. V. Parot'kin, I. A. Tarakanov, “Modeling the electrical conductivity of an ionized gas based on a numerical analysis of the kinetics of electrons”, Keldysh Institute preprints, 2023, 042, 32 pp. |
1
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5. |
M. E. Zhukovskiy, M. B. Markov, S. V. Podolyako, “On the preparation of data for modeling of the photons and electrons transport”, Keldysh Institute preprints, 2023, 019, 24 pp. |
1
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6. |
M. B. Markov, O. S. Kosarev, S. V. Parot'kin, I. A. Tarakanov, “On the gas-dynamic model construction for the electrical conductivity of an ionized gas based on supercomputer simulation of electron kinetics”, Matem. Mod., 35:12 (2023), 101–112 ; Math. Models Comput. Simul., 16:2 (2024), 302–309 |
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2022 |
7. |
B. N. Chetverushkin, M. B. Markov, R. V. Uskov, “On the parallelization of the particle method for hybrid supercomputers”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 19–23 ; Dokl. Math., 106:1 (2022), 225–229 |
2
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8. |
Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “Statistical particle in cell for solving the phonon Boltzmann equation”, Keldysh Institute preprints, 2022, 096, 16 pp. |
9. |
A. V. Berezin, N. V. Zalogniy, O. S. Kosarev, M. B. Markov, I. A. Tarakanov, “An implementation of the electron particle method on a hybrid cluster with graphic processor units”, Keldysh Institute preprints, 2022, 061, 21 pp. |
10. |
F. N. Voronin, M. B. Markov, S. V. Parot'kin, “Relaxation of the volume charge created by the electron flow in the air”, Matem. Mod., 34:4 (2022), 83–99 ; Math. Models Comput. Simul., 14:6 (2022), 926–936 |
11. |
Yu. A. Volkov, M. Yu. Vyrostkov, M. B. Markov, I. A. Tarakanov, “Thermomechanical effects of radiation origin in microelectronics products”, Matem. Mod., 34:2 (2022), 58–70 ; Math. Models Comput. Simul., 14:5 (2022), 727–735 |
1
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12. |
A. V. Berezin, M. B. Markov, O. S. Kosarev, S. V. Parot'kin, I. A. Tarakanov, “On the simulation of gas ionization by fast electrons”, Matem. Mod., 34:1 (2022), 3–15 ; Math. Models Comput. Simul., 14:4 (2022), 625–632 |
2
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2021 |
13. |
D. N. Sadovnichii, Yu. M. Miloekhin, S. A. Malinin, A. I. Potapenko, A. A. Cheprunov, R. V. Ul'yanenkov, K. Yu. Sheremet'ev, N. V. Pertsev, M. B. Markov, E. B. Savenkov, “Experimental study of the formation of threaded structures and properties spheroplastics upon a shock-wave impact”, Fizika Goreniya i Vzryva, 57:2 (2021), 123–131 ; Combustion, Explosion and Shock Waves, 57:2 (2021), 238–245 |
14. |
F. N. Voronin, A. S. Dukhanin, E. D. Kazakov, O. S. Kosarev, M. B. Markov, Yu. V. Pomazan, I. A. Tarakanov, “Radiation transport simulation in an electron accelerator”, Keldysh Institute preprints, 2021, 047, 14 pp. |
1
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15. |
A. V. Berezin, A. S. Dukhanin, O. S. Kosarev, M. B. Markov, S. V. Parot'kin, Yu. V. Pomazan, I. A. Tarakanov, “On the simulation of gas ionization by fast electrons”, Keldysh Institute preprints, 2021, 046, 12 pp. |
1
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16. |
F. N. Voronin, E. D. Kazakov, O. S. Kosarev, M. B. Markov, I. A. Tarakanov, “Simulation of the capacitor discharge current in the bremsstrahlung of the electron accelerator”, Matem. Mod., 33:12 (2021), 33–48 ; Math. Models Comput. Simul., 14:4 (2022), 567–577 |
17. |
V. S. Zakharov, M. E. Zhukovskiy, M. B. Markov, S. V. Zakharov, “On impact ionization of ions modeling in the distorted waves approximation”, Matem. Mod., 33:10 (2021), 51–64 ; Math. Models Comput. Simul., 14:3 (2022), 389–397 |
1
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18. |
A. V. Berezin, M. B. Markov, S. V. Parot'kin, “On the particle method for electrons in an inhomogeneous scattering medium”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021), 1545–1555 ; Comput. Math. Math. Phys., 61:9 (2021), 1521–1531 |
6
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2020 |
19. |
F. N. Voronin, M. B. Markov, S. V. Parotkin, “Relaxation of the volume charge created by the electron flow in the air”, Keldysh Institute preprints, 2020, 102, 20 pp. |
1
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20. |
V. S. Zakharov, M. E. Zhukovskiy, S. V. Zakharov, M. B. Markov, V. A. Gasilov, “Calculation of electron elastic scattering cross-sections on positive nitrogen and oxygen ions”, Keldysh Institute preprints, 2020, 067, 15 pp. |
21. |
Yu. A. Volkov, A. S. Dmitriev, M. B. Markov, “Vlasov equation for phonons and its macroscopic consequences”, Matem. Mod., 32:11 (2020), 16–28 ; Math. Models Comput. Simul., 13:4 (2021), 552–560 |
22. |
M. B. Markov, S. V. Parot'kin, “Modeling of the stationary electromagnetic field based on the Maxwell equations”, Matem. Mod., 32:7 (2020), 113–126 ; Math. Models Comput. Simul., 13:2 (2021), 254–262 |
1
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23. |
M. B. Markov, S. V. Podolyako, “Simulation of the proton transport in matter”, Matem. Mod., 32:2 (2020), 129–142 ; Math. Models Comput. Simul., 12:5 (2020), 834–843 |
24. |
V. A. Egorova, F. N. Voronin, M. E. Zhukovskiy, M. B. Markov, A. I. Potapenko, R. V. Uskov, D. S. Boykov, “Model of radiation-induced thermo-mechanical effects in heterogeneous fine-dispersed materials”, Matem. Mod., 32:1 (2020), 85–99 ; Math. Models Comput. Simul., 12:5 (2020), 729–739 |
7
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2019 |
25. |
A. A. Vasilev, A. G. Zhogov, O. S. Kosarev, M. B. Markov, A. I. Potapenko, R. V. Ulyanenkov, I. A. Tarakanov, “Experimental verification of the mathematical model of photon and electron transport”, Keldysh Institute preprints, 2019, 084, 17 pp. |
1
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26. |
Yu. A. Volkov, M. B. Markov, “The Vlasov approximation for phonon gas”, Keldysh Institute preprints, 2019, 083, 15 pp. |
3
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2018 |
27. |
B. N. Chetverushkin, V. A. Gasilov, M. E. Zhukovskiy, V. S. Zakharov, M. B. Markov, “Computation of electron collisional ionization cross-sections of nitrogen and oxygen atoms and ions on Hartree–Fock–Slater model basis”, Keldysh Institute preprints, 2018, 263, 23 pp. |
2
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28. |
B. N. Chetverushkin, V. A. Gasilov, M. E. Zhukovskiy, V. S. Zakharov, M. B. Markov, “The convergence of electron collisional ionization cross-section computations for atoms and ions in distorted-wave approximation”, Keldysh Institute preprints, 2018, 262, 24 pp. |
1
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29. |
M. B. Markov, S. V. Podolyako, “The modelling of protons transport in the approximation of continuous slowing downs”, Keldysh Institute preprints, 2018, 259, 20 pp. |
1
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30. |
M. V. Alekseev, F. N. Voronin, V. A. Egorova, M. E. Zhukovskiy, M. B. Markov, E. B. Savenkov, R. V. Uskov, “On computing the initial data for modeling of radiation-induced effects in porous materials”, Keldysh Institute preprints, 2018, 208, 21 pp. |
1
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31. |
O. G. Olkhovskaya, V. A. Gasilov, M. B. Markov, V. V. Val'ko, “Simulation of a radiative gas flow near re-entry space vehicle”, Keldysh Institute preprints, 2018, 166, 26 pp. |
32. |
A. V. Berezin, M. B. Markov, S. V. Parotkin, A. V. Sysenko, “On the particles method in the scattering medium”, Keldysh Institute preprints, 2018, 116, 16 pp. |
33. |
A. V. Berezin, M. B. Markov, S. V. Parotkin, A. V. Sysenko, “The algorithm of particles method in the scattering medium”, Keldysh Institute preprints, 2018, 115, 12 pp. |
34. |
Yu. A. Volkov, K. K. Inozemtseva, M. B. Markov, I. A. Tarakanov, “The algorithm for modeling radiation thermomechanical effects in Cattaneo approximation”, Keldysh Institute preprints, 2018, 108, 12 pp. |
1
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35. |
Yu. A. Volkov, K. K. Inozemtseva, M. B. Markov, I. A. Tarakanov, “Mathematical model of radiation heating of microelectronic device”, Keldysh Institute preprints, 2018, 099, 12 pp. |
36. |
A. V. Berezin, Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “The simulation of the electron-phonon interaction in silicon”, Matem. Mod., 30:12 (2018), 3–16 ; Math. Models Comput. Simul., 11:4 (2019), 542–550 |
3
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37. |
M. E. Zhukovskiy, R. V. Uskov, E. B. Savenkov, M. V. Alekseev, M. B. Markov, F. N. Voronin, “The model of the radiation transport in the matter of heterogeneous materials of the porous type”, Matem. Mod., 30:10 (2018), 3–20 ; Math. Models Comput. Simul., 11:3 (2019), 415–425 |
4
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2017 |
38. |
Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “The algorithm for simulation of electrical and thermomechanical effects in the scattering electron beam”, Keldysh Institute preprints, 2017, 064, 19 pp. |
39. |
Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “The model of electrical and thermomechanical effects in the electron beam”, Keldysh Institute preprints, 2017, 056, 20 pp. |
40. |
F. N. Voronin, K. K. Inozemtseva, M. B. Markov, “The electromagnetic and termomechanical effect of electron beam on the solid barrier”, Matem. Mod., 29:12 (2017), 29–45 ; Math. Models Comput. Simul., 10:4 (2018), 407–417 |
6
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2016 |
41. |
A. V. Berezin, Yu. A. Volkov, Sh. A. Kazymov, M. B. Markov, I. A. Tarakanov, “Modelling of radiation conductivity by statistic particle method”, Keldysh Institute preprints, 2016, 009, 20 pp. |
5
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42. |
L. P. Bass, S. A. Dbar, A. O. Lacis, M. B. Markov, G. P. Saveliev, Yu. P. Smolianov, M. Iu. Hramtsov, “K-100 supercomputer maintenance experience in the Keldysh Institute of Applied Mathematics”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2016, no. 2, 5–12 |
43. |
I. B. Bakholdin, A. V. Berezin, A. A. Kryukov, M. B. Markov, B. D. Plyushchenkov, D. N. Sadovnichii, “Electromagnetic wave in the medium with dispersion of dielectric permittivity”, Matem. Mod., 28:8 (2016), 97–111 ; Math. Models Comput. Simul., 9:2 (2017), 190–200 |
2
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44. |
A. V. Berezin, Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “The model of radiation-induced conductivity in silicon”, Matem. Mod., 28:6 (2016), 18–32 ; Math. Models Comput. Simul., 9:1 (2017), 12–23 |
6
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2015 |
45. |
Yu. A. Volkov, F. N. Voronin, M. B. Markov, “The Vlasov approach in phonon dynamics”, Keldysh Institute preprints, 2015, 114, 24 pp. |
2
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46. |
A. V. Berezin, D. A. Zhukov, M. E. Zhukovskii, V. V. Konukov, V. I. Krainukov, M. B. Markov, Yu. V. Pomazan, A. I. Potapenko, “Modeling the electromagnetic effects in complex structures exposed to pulse radiation”, Mat. Mod. Chisl. Met., 2015, no. 6, 58–72 |
5
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47. |
A. V. Berezin, A. S. Vorontsov, M. E. Zhukovskiy, M. B. Markov, S. V. Parot'kin, “Particle method for electrons in a scattering medium”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1566–1578 ; Comput. Math. Math. Phys., 55:9 (2015), 1534–1546 |
31
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2014 |
48. |
A. V. Berezin, A. S. Vorontsov, M. B. Markov, D. N. Sadovnichiy, “Plane electromagnetic wave diffraction”, Matem. Mod., 26:5 (2014), 33–47 |
1
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2013 |
49. |
A. V. Berezin, A. S. Vorontsov, M. B. Markov, D. N. Sadovnichii, A. V. Sysenko, “Plane electromagnetic wave diffraction: hybrid paralleling”, Keldysh Institute preprints, 2013, 016, 20 pp. |
50. |
A. V. Berezin, A. S. Vorontsov, I. D. Voropaev, M. B. Markov, D. N. Sadovnichii, “Plane electromagnetic wave diffraction: problem definition”, Keldysh Institute preprints, 2013, 015, 18 pp. |
1
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51. |
A. V. Berezin, A. S. Vorontsov, S. V. Zakharov, M. B. Markov, S. V. Parot'kin, “Modeling of gaseous discharge’s electron stage”, Matem. Mod., 25:3 (2013), 105–118 ; Math. Models Comput. Simul., 5:5 (2013), 492–500 |
8
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2012 |
52. |
D. N. Sadovnichii, M. B. Markov, A. S. Vorontsov, Yu. M. Miloekhin, “Specific features of propagation of an electromagnetic pulse in a solid-propellant energetic system”, Fizika Goreniya i Vzryva, 48:1 (2012), 110–116 ; Combustion, Explosion and Shock Waves, 48:1 (2012), 100–105 |
1
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53. |
A. V. Berezin, A. S. Vorontsov, A. S. Dukhanin, M. B. Markov, S. V. Parot’kin, A. V. Sysenko, “The Electron-photon Cascade in Gas. Chapter 2. Collisions Cross Sections”, Keldysh Institute preprints, 2012, 007, 24 pp. |
1
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54. |
A. V. Berezin, A. S. Vorontsov, A. S. Dukhanin, M. B. Markov, S. V. Parot’kin, A. V. Sysenko, “The Electron-photon Cascade in Gas. Chapter 1. Equations and Approximations of the Model”, Keldysh Institute preprints, 2012, 006, 24 pp. |
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2011 |
55. |
A. V. Berezin, A. S. Vorontsov, M. B. Markov, “Particle method for mathematical models with allocated ionization front”, Matem. Mod., 23:12 (2011), 132–142 |
1
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56. |
M. B. Markov, S. V. Parot'kin, “The kinetic model of the gas radiational conductivity”, Matem. Mod., 23:4 (2011), 41–56 ; Math. Models Comput. Simul., 3:6 (2011), 712–722 |
11
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2010 |
57. |
A. S. Vorontsov, M. B. Markov, Yu. M. Miloekhin, D. N. Sadovnichii, “Mathematical Modelling the Electromagnetic Pulse’s Propagation in the Solid Propellant Propulsion Device”, Keldysh Institute preprints, 2010, 080, 16 pp. |
1
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58. |
M. B. Markov, S. V. Parot’kin, “On the Gas Radiation Conductivity Calculation”, Keldysh Institute preprints, 2010, 053, 20 pp. |
59. |
A. N. Andrianov, A. V. Berezin, A. S. Vorontsov, K. N. Efimkin, V. F. Zintchenko, M. B. Markov, A. M. Tchlenov, “Modeling the electron beam from the accelerator LIA-10 on the multiprocessor computer system”, Matem. Mod., 22:2 (2010), 29–44 |
6
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2009 |
60. |
M. B. Markov, “The approximation of homogeneous electron's scattering on trajectories”, Matem. Mod., 21:10 (2009), 85–93 |
12
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2008 |
61. |
A. V. Berezin, A. S. Vorontsov, V. F. Zintchenko, M. B. Markov, A. M. Tchlenov, “The Angular Distribution of the Relativistic Electron's Beam from the Linear Inductive Accelerator LIA-10”, Keldysh Institute preprints, 2008, 032, 15 pp. |
62. |
A. N. Andrianov, A. S. Vorontsov, K. N. Efimkin, V. F. Zintchenko, M. B. Markov, A. M. Tchlenov, “The fluctuation and radiation of the relativistic electron's beam from the linear inductive accelerator LIA-10”, Keldysh Institute preprints, 2008, 031, 18 pp. |
63. |
M. B. Markov, S. V. Parot'kin, A. V. Sysenko, “Particle?s method for the model of the electromagnetic field of electron?s flux in gas”, Matem. Mod., 20:5 (2008), 35–54 |
13
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64. |
A. N. Andrianov, A. V. Berezin, A. S. Vorontsov, K. N. Efimkin, M. B. Markov, “The radiational electromagnetic fields modeling at the multiprocessor computing systems”, Matem. Mod., 20:3 (2008), 98–114 |
17
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2007 |
65. |
A. N. Andrianov, A. V. Berezin, A. S. Vorontsov, K. N. Efimkin, M. B. Markov, “The simulation of spurious electromagnetic emission at the multiprocessor computing systems”, Keldysh Institute preprints, 2007, 038, 17 pp. |
66. |
M. B. Markov, “The approximation of homogeneous electron's scattering on trajectories”, Keldysh Institute preprints, 2007, 037, 17 pp. |
2
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2006 |
67. |
A. N. Andrianov, A. V. Berezin, A. S. Vorontsov, K. N. Efimkin, M. B. Markov, “The radiational electromagnetic fields modelling at the multiprocessor computing systems”, Keldysh Institute preprints, 2006, 074, 20 pp. |
4
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68. |
N. S. Kellin, M. B. Markov, S. V. Parot'kin, “On the 1-dimensional model problem for the Wlasoff equation. Part II”, Keldysh Institute preprints, 2006, 034, 12 pp. |
69. |
N. S. Kellin, M. B. Markov, S. V. Parot'kin, “Collisions in the mathematical model of the electromagnetic field in the electron's flux”, Keldysh Institute preprints, 2006, 033, 20 pp. |
1
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70. |
A. V. Berezin, A. S. Vorontsov, M. B. Markov, B. D. Plyushchenkov, “On the conclusion and decision of Maxwell's equations for the problems with given wavefront”, Matem. Mod., 18:4 (2006), 43–60 |
17
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2005 |
71. |
A. V. Berezin, M. B. Markov, B. D. Plyushchenkov, “Locally one-dimensional finite-difference scheme for the electrodynamic problems with given wavefront”, Keldysh Institute preprints, 2005, 031, 24 pp. |
6
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72. |
A. S. Vorontsov, N. I. Kozlov, M. B. Markov, “On the Maxwell's equations in the self-time”, Keldysh Institute preprints, 2005, 028, 12 pp. |
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2004 |
73. |
A. V. Berezin, N. S. Kellin, M. B. Markov, S. V. Parot'kin, A. V. Sysenko, “The radiative electromagnetic field in the object with the boundary of ideal conductivity”, Matem. Mod., 16:3 (2004), 3–12 |
1
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2003 |
74. |
N. S. Kellin, N. I. Kozlov, M. B. Markov, S. V. Parot’kin, S. V. Podolyako, “On the 1-dimensional model problem for the Wlasoff equation. Part I”, Keldysh Institute preprints, 2003, 067, 12 pp. |
75. |
A. V. Berezin, N. S. Kellin, M. B. Markov, S. V. Parot’kin, “On the electron's collisions in some problems of the electromagnetic field generation by the electron flux”, Keldysh Institute preprints, 2003, 061, 15 pp. |
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2002 |
76. |
A. V. Berezin, N. S. Kellin, M. B. Markov, S. V. Parot'kin, A. V. Sysenko, “On the mathematical models of the secondary ionization”, Keldysh Institute preprints, 2002, 029 |
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2001 |
77. |
A. V. Berezin, N. S. Kellin, M. B. Markov, S. V. Parot'kin, A. V. Sysenko, “The electric field radiational generation in the filled by gas object with nonhomogeneus structure”, Keldysh Institute preprints, 2001, 020 |
78. |
A. V. Berezin, N. S. Kellin, M. B. Markov, S. V. Parot'kin, “The electric field radiational generation in the objects with nonhomogeneous structure”, Matem. Mod., 13:9 (2001), 37–44 |
1
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2000 |
79. |
A. V. Berezin, N. S. Kellin, M. B. Markov, S. V. Parot’kin, “Radiative Excitement of Electromagnetic Fields in the Complex Objects”, Keldysh Institute preprints, 2000, 037 |
80. |
A. V. Berezin, N. S. Kellin, M. B. Markov, S. V. Parot’kin, “The Homogeneous Hydrodynamic Model for Conductivity Electrons in Low Ionized Gas”, Keldysh Institute preprints, 2000, 008 |
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1998 |
81. |
A. V. Berezin, Yu. A. Volkov, V. B. Krasovitskii, M. B. Markov, “The object-oriented programming in simulations by particles”, Matem. Mod., 10:10 (1998), 19–29 |
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1997 |
82. |
A. V. Berezin, Yu. A. Volkov, M. B. Markov, “On the Application Object-Oriented Programming in the Macroparticles Method”, Keldysh Institute preprints, 1997, 062 |
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1996 |
83. |
A. S. Boldarev, M. B. Markov, “'Bagatelle': Some Proposals on Using Unstructured Grids Technology”, Keldysh Institute preprints, 1996, 102 |
84. |
A. V. Berezin, M. B. Markov, S. V. Panteleev, A. V. Sysenko, “The Self-Consistent Electromagnetic Fields in Axial Symmetric Objects”, Keldysh Institute preprints, 1996, 052 |
85. |
Yu. A. Volkov, M. B. Markov, “On Numerical Solution of Vector Wave Equations”, Keldysh Institute preprints, 1996, 026 |
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1995 |
86. |
N. S. Kellin, M. B. Markov, K. V. Fyodorov, “The Relativistic Photon-Electron Joined Transport Model”, Keldysh Institute preprints, 1995, 020 |
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1988 |
87. |
N. I. Kozlov, M. B. Markov, S. B. Semenov, “An example of the solution of a simplified system of A. A. Vlasov equations”, Differ. Uravn., 24:7 (1988), 1269–1270 |
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1987 |
88. |
N. I. Kozlov, V. M. Kondrat'ev, M. B. Markov, “Calculation of the moments of the distribution function of fast electrons for a plasma with elastic collisions”, Differ. Uravn., 23:8 (1987), 1431–1436 |
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1986 |
89. |
N. I. Kozlov, I. G. Krutikova, M. B. Markov, P. P. Sherbinko, “Ðåøåíèå â êâàäðàòóðàõ êèíåòè÷åñêîãî óðàâíåíèÿ äëÿ ýëåêòðîíîâ â ìàãíèòíîì ïîëå”, Differ. Uravn., 22:7 (1986), 1207–1212 |
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2024 |
90. |
A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Iakobovski, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024), 181–187 |
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