Mazhukin Vladimir Ivanovich

Publications in Math-Net.Ru

1. Modification of the Wilson–Frankel kinetic model and atomistic simulation of the rate of melting/crystallization of metals
   
   Matem. Mod., 35:11 (2023),  103–121
2. Non-equilibrium characteristics of heat transfer of copper in a wide temperature range
   
   Matem. Mod., 34:10 (2022),  65–80
3. Atomistic simulation of the coexistence of liquid-vapor phase states for gold and determination of critical parameters
   
   Matem. Mod., 34:3 (2022),  101–116
4. Determination of thermal properties of gold in the region of melting-crystallization phase transition. Molecular dynamic approach
   
   Matem. Mod., 34:1 (2022),  59–80
5. Atomistic modeling of the propagation of the melting/crystallization front for metals based on the generalization of the modified transition state theory
   
   Keldysh Institute preprints, 2021, 090, 20 pp.
6. Atomistic modeling of the parameters of the critical region of gold using the liquid-vapor coexistence curve
   
   Keldysh Institute preprints, 2021, 083, 16 pp.
7. Molecular dynamic modeling of thermal hysteresis of gold
   
   Keldysh Institute preprints, 2021, 081, 11 pp.
8. Analysis of the error of approximation of two-layer difference schemes for the Korteweg de Vries equation
   
   Keldysh Institute preprints, 2021, 001, 17 pp.
9. Atomistic modeling of the characteristics of the phonon subsystem of copper in a wide temperature range
   
   Keldysh Institute preprints, 2020, 033, 22 pp.
10. Molecular dynamic modeling of thermophysical properties of copper in the region of the melting point
    
    Keldysh Institute preprints, 2018, 066, 18 pp.
11. Kinetic melting and crystallization stages of strongly superheated and supercooled metals
    
    Matem. Mod., 28:12 (2016),  83–94
12. Analytical approximation of the Fermi–Dirac integrals of half-integer and integer orders
    
    Matem. Mod., 28:11 (2016),  55–63
13. Modeling of thin film explosive boiling process during homogeneous sub-second heating
    
    Matem. Mod., 26:3 (2014),  125–136
14. Explosive boiling of metals upon irradiation by a nanosecond laser pulse
    
    Kvantovaya Elektronika, 44:4 (2014),  283–285
15. Molecular-dynamic modeling of processes of heating and melting of metals.
    Part II. Computational experiment
    
    Keldysh Institute preprints, 2012, 032, 25 pp.
16. Molecular-dynamic modeling of processes of heating and melting of metals.
    Part I. Model and computational algorithm
    
    Keldysh Institute preprints, 2012, 031, 27 pp.
17. Mathematical modeling of dynamics of fast phase transitions and overheated metastable states during nano- and femtosecond laser treatment of metal targets
    
    Matem. Mod., 21:11 (2009),  99–112
18. Dynamic adaptation method in gasdynamic simulations with nonlinear heat conduction
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008),  2067–2080
19. Modeling of shock waves interaction on dynamically adapting grids
    
    Matem. Mod., 19:11 (2007),  83–95
20. Pulse time profile influence on laser processing
    
    Matem. Mod., 19:9 (2007),  54–78
21. Dynamic adaptation for parabolic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007),  1913–1936
22. Dynamically adapted grids for interacting discontinuous solutions
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  717–737
23. Mathematical simulation of the spectrum of a nonequilibrium laser plasma
    
    Kvantovaya Elektronika, 36:2 (2006),  125–133
24. Mathematical simulation of laser induced melting and evaporation of multilayer materials
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006),  887–901
25. Kinetics of optical breakdown of aluminum vapor in wide frequency range. Modern state of the problem
    
    Matem. Mod., 17:12 (2005),  27–79
26. Plasma-mediated surface evaporation of an aluminium target in vacuum under UV laser irradiation
    
    Kvantovaya Elektronika, 35:5 (2005),  454–466
27. Plasma dynamics in air during laser shock processing of materials
    
    Matem. Mod., 15:2 (2003),  23–42
28. On possible manifestations of the induced transparency during laser evaporation of metals
    
    Kvantovaya Elektronika, 33:9 (2003),  771–776
29. Optical breakdown of aluminum vapor in the ultraviolet range
    
    Matem. Mod., 14:4 (2002),  3–20
30. Monotone difference schemes for equations with mixed derivative
    
    Matem. Mod., 13:2 (2001),  17–26
31. Dynamic adaptation method for a laminar combustion problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  648–661
32. Difference schemes on irregular grids for equations of mathematical physics with variable coefficients
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:3 (2001),  407–419
33. Finite-difference schemes for the Korteweg–de Vries equation
    
    Differ. Uravn., 36:5 (2000),  709–716
34. Analysis of temperature and thermal stress fields in pulse treatment of semiconductors
    
    Matem. Mod., 12:2 (2000),  75–83
35. Invariant difference schemes for differential equations with transformation of the independent variables
    
    Dokl. Akad. Nauk, 352:5 (1997),  602–605
36. Effect of gas-dynamic peturbations on vaporisation process due to modulated heat source
    
    Matem. Mod., 9:4 (1997),  11–26
37. Invariant difference schemes for equations of mathematical physics in nonstationary coordinate systems
    
    Differ. Uravn., 32:12 (1996),  1691–1700
38. Method for dynamic adaptation in problems of gas dynamiks
    
    Matem. Mod., 7:12 (1995),  48–78
39. Entropy variation on evaporation front
    
    Matem. Mod., 6:11 (1994),  3–10
40. Influence of melting-cristallization processes on shape of photoacoustic pulse during laser-irradiation of highly absorbing condensed media
    
    Matem. Mod., 6:1 (1994),  3–53
41. The dynamic adaptation method in the Burgers problem
    
    Dokl. Akad. Nauk, 333:2 (1993),  165–169
42. The analysis of nonequilibrium phenomena during laser action on metal vapors
    
    Matem. Mod., 5:11 (1993),  3–32
43. About gas-dynamical boundary conditions on evaporation front
    
    Matem. Mod., 5:6 (1993),  3–10
44. Influence of metastable states on process of pulse laser treatment of superconducting ceramics
    
    Matem. Mod., 5:5 (1993),  30–60
45. Influence of temperature – dependent thermodynamic, optical characteristics and equation of state of laser – irradiated metal on shape of photoacoustic pulse
    
    Matem. Mod., 5:5 (1993),  3–29
46. Method of dynamical adaption for evolution-type problems with high gradients
    
    Matem. Mod., 5:4 (1993),  32–56
47. On a hydrodynamic variant on the Stefan problem for matter in a metastable state
    
    Dokl. Akad. Nauk SSSR, 320:5 (1991),  1088–1092
48. Computational algorythm of a hydrodynamical version of Stefan problem by dynamic adapting grid
    
    Matem. Mod., 3:10 (1991),  104–115
49. The principles of dinamical adapting to solve grid construction into one-dimensial boundary problems
    
    Matem. Mod., 2:3 (1990),  101–118
50. Numerical calculations of temperature waves with weak discontinuities on nets with dynamic adaptation
    
    Differ. Uravn., 25:7 (1989),  1188–1193
51. Mathematical modelling of non-stationary two-dimensional boundary value problems on dynamically adapted meshes
    
    Matem. Mod., 1:3 (1989),  29–43
52. The finite-difference method for solving one-dimensional equations of gas dynamics on adaptive grids
    
    Dokl. Akad. Nauk SSSR, 302:5 (1988),  1078–1081
53. An approach to the construction of adaptive difference grids
    
    Dokl. Akad. Nauk SSSR, 298:1 (1988),  64–68
54. A finite-difference method for solving the equations of gas dynamics using adaptive grids which are dynamically connected with the solution
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:8 (1988),  1210–1225
55. An approach to adaptive grid construction for non-stationary problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:3 (1988),  454–460
56. Mathematical modeling of the Stefan problem on an adaptive net
    
    Differ. Uravn., 23:7 (1987),  1154–1160
57. On some features of a mathematical model of the intense surface evaporation of matter
    
    Dokl. Akad. Nauk SSSR, 281:4 (1985),  830–833
58. An algorithm for the numerical solution of a problem of surface mass evaporation by laser radiation
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1697–1709
59. Mathematical simulation of the processes of the surface evaporation under laser radiation
    
    Dokl. Akad. Nauk SSSR, 278:4 (1984),  843–847
60. Kinetics of a phase transition during laser evaporation of a metal
    
    Kvantovaya Elektronika, 11:12 (1984),  2432–2437
61. Low-temperature laser plasmas near metal surfaces in high-pressure gases (review)
    
    Kvantovaya Elektronika, 10:4 (1983),  679–701
62. Solution of two-dimensional non-stationary problems of the dynamics of a radiating gas
    
    Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983),  1177–1185
63. Optical breakdown of molecular nitrogen in a wide range of pressures near a solid target
    
    Kvantovaya Elektronika, 9:5 (1982),  906–917
64. Numerical modeling of a two-dimensional problem on the plasma discharge propagation
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  171–177
65. On the propagation of low-temperature laser plasma in high-pressure nitrogen medium
    
    Dokl. Akad. Nauk SSSR, 257:3 (1981),  584–589
66. Numerical simulation of laser plasma dynamics in high-pressure medium near a solid target
    
    Dokl. Akad. Nauk SSSR, 256:5 (1981),  1100–1105
67. Numerical investigation of the problem of a laser discharge in a dense gas
    
    Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  451–460
68. Modeling of dense molecular gas breakdown by laser radiation near a metallic surface
    
    Dokl. Akad. Nauk SSSR, 246:6 (1979),  1338–1342