Markov Mikhail Borisovich

Publications in Math-Net.Ru

1. About the generation of electric discharge in dielectric by photon flux
   
   Keldysh Institute preprints, 2024, 057, 17 pp.
2. 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. The model of continuous photon scattering in one-dimensional approximation
   
   Keldysh Institute preprints, 2024, 042, 20 pp.
4. 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.
5. On the preparation of data for modeling of the photons and electrons transport
   
   Keldysh Institute preprints, 2023, 019, 24 pp.
6. 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
7. On the parallelization of the particle method for hybrid supercomputers
   
   Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022),  19–23
8. Statistical particle in cell for solving the phonon Boltzmann equation
   
   Keldysh Institute preprints, 2022, 096, 16 pp.
9. An implementation of the electron particle method on a hybrid cluster with graphic processor units
   
   Keldysh Institute preprints, 2022, 061, 21 pp.
10. Relaxation of the volume charge created by the electron flow in the air
    
    Matem. Mod., 34:4 (2022),  83–99
11. Thermomechanical effects of radiation origin in microelectronics products
    
    Matem. Mod., 34:2 (2022),  58–70
12. On the simulation of gas ionization by fast electrons
    
    Matem. Mod., 34:1 (2022),  3–15
13. 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
14. Radiation transport simulation in an electron accelerator
    
    Keldysh Institute preprints, 2021, 047, 14 pp.
15. On the simulation of gas ionization by fast electrons
    
    Keldysh Institute preprints, 2021, 046, 12 pp.
16. Simulation of the capacitor discharge current in the bremsstrahlung of the electron accelerator
    
    Matem. Mod., 33:12 (2021),  33–48
17. On impact ionization of ions modeling in the distorted waves approximation
    
    Matem. Mod., 33:10 (2021),  51–64
18. On the particle method for electrons in an inhomogeneous scattering medium
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1545–1555
19. Relaxation of the volume charge created by the electron flow in the air
    
    Keldysh Institute preprints, 2020, 102, 20 pp.
20. Calculation of electron elastic scattering cross-sections on positive nitrogen and oxygen ions
    
    Keldysh Institute preprints, 2020, 067, 15 pp.
21. Vlasov equation for phonons and its macroscopic consequences
    
    Matem. Mod., 32:11 (2020),  16–28
22. Modeling of the stationary electromagnetic field based on the Maxwell equations
    
    Matem. Mod., 32:7 (2020),  113–126
23. Simulation of the proton transport in matter
    
    Matem. Mod., 32:2 (2020),  129–142
24. Model of radiation-induced thermo-mechanical effects in heterogeneous fine-dispersed materials
    
    Matem. Mod., 32:1 (2020),  85–99
25. Experimental verification of the mathematical model of photon and electron transport
    
    Keldysh Institute preprints, 2019, 084, 17 pp.
26. The Vlasov approximation for phonon gas
    
    Keldysh Institute preprints, 2019, 083, 15 pp.
27. 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.
28. The convergence of electron collisional ionization cross-section computations for atoms and ions in distorted-wave approximation
    
    Keldysh Institute preprints, 2018, 262, 24 pp.
29. The modelling of protons transport in the approximation of continuous slowing downs
    
    Keldysh Institute preprints, 2018, 259, 20 pp.
30. On computing the initial data for modeling of radiation-induced effects in porous materials
    
    Keldysh Institute preprints, 2018, 208, 21 pp.
31. Simulation of a radiative gas flow near re-entry space vehicle
    
    Keldysh Institute preprints, 2018, 166, 26 pp.
32. On the particles method in the scattering medium
    
    Keldysh Institute preprints, 2018, 116, 16 pp.
33. The algorithm of particles method in the scattering medium
    
    Keldysh Institute preprints, 2018, 115, 12 pp.
34. The algorithm for modeling radiation thermomechanical effects in Cattaneo approximation
    
    Keldysh Institute preprints, 2018, 108, 12 pp.
35. Mathematical model of radiation heating of microelectronic device
    
    Keldysh Institute preprints, 2018, 099, 12 pp.
36. The simulation of the electron-phonon interaction in silicon
    
    Matem. Mod., 30:12 (2018),  3–16
37. The model of the radiation transport in the matter of heterogeneous materials of the porous type
    
    Matem. Mod., 30:10 (2018),  3–20
38. The algorithm for simulation of electrical and thermomechanical effects in the scattering electron beam
    
    Keldysh Institute preprints, 2017, 064, 19 pp.
39. The model of electrical and thermomechanical effects in the electron beam
    
    Keldysh Institute preprints, 2017, 056, 20 pp.
40. The electromagnetic and termomechanical effect of electron beam on the solid barrier
    
    Matem. Mod., 29:12 (2017),  29–45
41. Modelling of radiation conductivity by statistic particle method
    
    Keldysh Institute preprints, 2016, 009, 20 pp.
42. K-100 supercomputer maintenance experience in the Keldysh Institute of Applied Mathematics
    
    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2016, no. 2,  5–12
43. Electromagnetic wave in the medium with dispersion of dielectric permittivity
    
    Matem. Mod., 28:8 (2016),  97–111
44. The model of radiation-induced conductivity in silicon
    
    Matem. Mod., 28:6 (2016),  18–32
45. The Vlasov approach in phonon dynamics
    
    Keldysh Institute preprints, 2015, 114, 24 pp.
46. Modeling the electromagnetic effects in complex structures exposed to pulse radiation
    
    Mat. Mod. Chisl. Met., 2015, no. 6,  58–72
47. Particle method for electrons in a scattering medium
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015),  1566–1578
48. Plane electromagnetic wave diffraction
    
    Matem. Mod., 26:5 (2014),  33–47
49. Plane electromagnetic wave diffraction: hybrid paralleling
    
    Keldysh Institute preprints, 2013, 016, 20 pp.
50. Plane electromagnetic wave diffraction: problem definition
    
    Keldysh Institute preprints, 2013, 015, 18 pp.
51. Modeling of gaseous discharge’s electron stage
    
    Matem. Mod., 25:3 (2013),  105–118
52. Specific features of propagation of an electromagnetic pulse in a solid-propellant energetic system
    
    Fizika Goreniya i Vzryva, 48:1 (2012),  110–116
53. The Electron-photon Cascade in Gas. Chapter 2. Collisions Cross Sections
    
    Keldysh Institute preprints, 2012, 007, 24 pp.
54. The Electron-photon Cascade in Gas. Chapter 1. Equations and Approximations of the Model
    
    Keldysh Institute preprints, 2012, 006, 24 pp.
55. Particle method for mathematical models with allocated ionization front
    
    Matem. Mod., 23:12 (2011),  132–142
56. The kinetic model of the gas radiational conductivity
    
    Matem. Mod., 23:4 (2011),  41–56
57. Mathematical Modelling the Electromagnetic Pulse’s Propagation in the Solid Propellant Propulsion Device
    
    Keldysh Institute preprints, 2010, 080, 16 pp.
58. On the Gas Radiation Conductivity Calculation
    
    Keldysh Institute preprints, 2010, 053, 20 pp.
59. Modeling the electron beam from the accelerator LIA-10 on the multiprocessor computer system
    
    Matem. Mod., 22:2 (2010),  29–44
60. The approximation of homogeneous electron's scattering on trajectories
    
    Matem. Mod., 21:10 (2009),  85–93
61. The Angular Distribution of the Relativistic Electron's Beam from the Linear Inductive Accelerator LIA-10
    
    Keldysh Institute preprints, 2008, 032, 15 pp.
62. 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. Particle?s method for the model of the electromagnetic field of electron?s flux in gas
    
    Matem. Mod., 20:5 (2008),  35–54
64. The radiational electromagnetic fields modeling at the multiprocessor computing systems
    
    Matem. Mod., 20:3 (2008),  98–114
65. The simulation of spurious electromagnetic emission at the multiprocessor computing systems
    
    Keldysh Institute preprints, 2007, 038, 17 pp.
66. The approximation of homogeneous electron's scattering on trajectories
    
    Keldysh Institute preprints, 2007, 037, 17 pp.
67. The radiational electromagnetic fields modelling at the multiprocessor computing systems
    
    Keldysh Institute preprints, 2006, 074, 20 pp.
68. On the 1-dimensional model problem for the Wlasoff equation. Part II
    
    Keldysh Institute preprints, 2006, 034, 12 pp.
69. Collisions in the mathematical model of the electromagnetic field in the electron's flux
    
    Keldysh Institute preprints, 2006, 033, 20 pp.
70. On the conclusion and decision of Maxwell's equations for the problems with given wavefront
    
    Matem. Mod., 18:4 (2006),  43–60
71. Locally one-dimensional finite-difference scheme for the electrodynamic problems with given wavefront
    
    Keldysh Institute preprints, 2005, 031, 24 pp.
72. On the Maxwell's equations in the self-time
    
    Keldysh Institute preprints, 2005, 028, 12 pp.
73. The radiative electromagnetic field in the object with the boundary of ideal conductivity
    
    Matem. Mod., 16:3 (2004),  3–12
74. On the 1-dimensional model problem for the Wlasoff equation. Part I
    
    Keldysh Institute preprints, 2003, 067, 12 pp.
75. On the electron's collisions in some problems of the electromagnetic field generation by the electron flux
    
    Keldysh Institute preprints, 2003, 061, 15 pp.
76. On the mathematical models of the secondary ionization
    
    Keldysh Institute preprints, 2002, 029
77. The electric field radiational generation in the filled by gas object with nonhomogeneus structure
    
    Keldysh Institute preprints, 2001, 020
78. The electric field radiational generation in the objects with nonhomogeneous structure
    
    Matem. Mod., 13:9 (2001),  37–44
79. Radiative Excitement of Electromagnetic Fields in the Complex Objects
    
    Keldysh Institute preprints, 2000, 037
80. The Homogeneous Hydrodynamic Model for Conductivity Electrons in Low Ionized Gas
    
    Keldysh Institute preprints, 2000, 008
81. The object-oriented programming in simulations by particles
    
    Matem. Mod., 10:10 (1998),  19–29
82. On the Application Object-Oriented Programming in the Macroparticles Method
    
    Keldysh Institute preprints, 1997, 062
83. 'Bagatelle': Some Proposals on Using Unstructured Grids Technology
    
    Keldysh Institute preprints, 1996, 102
84. The Self-Consistent Electromagnetic Fields in Axial Symmetric Objects
    
    Keldysh Institute preprints, 1996, 052
85. On Numerical Solution of Vector Wave Equations
    
    Keldysh Institute preprints, 1996, 026
86. The Relativistic Photon-Electron Joined Transport Model
    
    Keldysh Institute preprints, 1995, 020
87. An example of the solution of a simplified system of A. A. Vlasov equations
    
    Differ. Uravn., 24:7 (1988),  1269–1270
88. Calculation of the moments of the distribution function of fast electrons for a plasma with elastic collisions
    
    Differ. Uravn., 23:8 (1987),  1431–1436
89. Решение в квадратурах кинетического уравнения для электронов в магнитном поле
    
    Differ. Uravn., 22:7 (1986),  1207–1212


90. Boris Nikolaevich Chetverushkin (on his eightieth birthday)
    
    Uspekhi Mat. Nauk, 79:4(478) (2024),  181–187