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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
V. I. Mazhukin, A. V. Shapranov, O. N. Koroleva, A. V. Mazhukin, “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 ; Math. Models Comput. Simul., 16:2 (2024), 223–234 |
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2022 |
2. |
V. I. Mazhukin, O. N. Koroleva, M. M. Demin, A. A. Aleksashkina, “Non-equilibrium characteristics of heat transfer of copper in a wide temperature range”, Matem. Mod., 34:10 (2022), 65–80 ; Math. Models Comput. Simul., 15:3 (2023), 415–426 |
3. |
V. I. Mazhukin, O. N. Koroleva, M. M. Demin, A. V. Shapranov, A. A. Aleksashkina, “Atomistic simulation of the coexistence of liquid-vapor phase states for gold and determination of critical parameters”, Matem. Mod., 34:3 (2022), 101–116 ; Math. Models Comput. Simul., 14:5 (2022), 819–828 |
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4. |
V. I. Mazhukin, O. N. Koroleva, A. V. Shapranov, M. M. Demin, A. A. Aleksashkina, “Determination of thermal properties of gold in the region of melting-crystallization phase transition. Molecular dynamic approach”, Matem. Mod., 34:1 (2022), 59–80 ; Math. Models Comput. Simul., 14:4 (2022), 662–676 |
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2021 |
5. |
V. I. Mazhukin, A. V. Shapranov, O. N. Koroleva, A. V. Mazhukin, “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. |
V. I. Mazhukin, O. N. Koroleva, M. M. Demin, A. A. Aleksashkina, “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. |
V. I. Mazhukin, O. N. Koroleva, A. V. Shapranov, A. A. Aleksashkina, M. M. Demin, “Molecular dynamic modeling of thermal hysteresis of gold”, Keldysh Institute preprints, 2021, 081, 11 pp. |
8. |
E. N. Bykovskaya, A. V. Shapranov, V. I. Mazhukin, “Analysis of the error of approximation of two-layer difference schemes for the Korteweg de Vries equation”, Keldysh Institute preprints, 2021, 001, 17 pp. |
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2020 |
9. |
M. M. Demin, O. N. Koroleva, A. A. Aleksashkina, V. I. Mazhukin, “Atomistic modeling of the characteristics of the phonon subsystem of copper in a wide temperature range”, Keldysh Institute preprints, 2020, 033, 22 pp. |
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2018 |
10. |
A. A. Aleksashkina, M. M. Demin, V. I. Mazhukin, “Molecular dynamic modeling of thermophysical properties of copper in the region of the melting point”, Keldysh Institute preprints, 2018, 066, 18 pp. |
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2016 |
11. |
V. I. Mazhukin, A. V. Shapranov, V. E. Perezhigin, O. N. Koroleva, A. V. Mazhukin, “Kinetic melting and crystallization stages of strongly superheated and supercooled metals”, Matem. Mod., 28:12 (2016), 83–94 ; Math. Models Comput. Simul., 9:4 (2017), 448–456 |
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12. |
O. N. Koroleva, A. V. Mazhukin, V. I. Mazhukin, P. V. Breslavskiy, “Analytical approximation of the Fermi–Dirac integrals of half-integer and integer orders”, Matem. Mod., 28:11 (2016), 55–63 ; Math. Models Comput. Simul., 9:3 (2017), 383–389 |
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2014 |
13. |
V. I. Mazhukin, A. V. Shapranov, A. A. Samokhin, A. Yu. Ivochkin, “Modeling of thin film explosive boiling process during homogeneous sub-second heating”, Matem. Mod., 26:3 (2014), 125–136 ; Math. Models Comput. Simul., 6:5 (2014), 542–550 |
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14. |
V. I. Mazhukin, A. A. Samokhin, M. M. Demin, A. V. Shapranov, “Explosive boiling of metals upon irradiation by a nanosecond laser pulse”, Kvantovaya Elektronika, 44:4 (2014), 283–285 [Quantum Electron., 44:4 (2014), 283–285 ] |
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2012 |
15. |
V. I. Mazhukin, A. V. Shapranov, “Molecular-dynamic modeling of processes of heating and melting of metals.
Part II. Computational experiment”, Keldysh Institute preprints, 2012, 032, 25 pp. |
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16. |
V. I. Mazhukin, A. V. Shapranov, “Molecular-dynamic modeling of processes of heating and melting of metals.
Part I. Model and computational algorithm”, Keldysh Institute preprints, 2012, 031, 27 pp. |
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2009 |
17. |
V. I. Mazhukin, A. V. Mazhukin, M. G. Lobok, “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 ; Math. Models Comput. Simul., 2:3 (2010), 396–405 |
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2008 |
18. |
P. V. Breslavskiy, V. I. Mazhukin, “Dynamic adaptation method in gasdynamic simulations with nonlinear heat conduction”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008), 2067–2080 ; Comput. Math. Math. Phys., 48:11 (2008), 2102–2115 |
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2007 |
19. |
P. V. Breslavskiy, V. I. Mazhukin, “Modeling of shock waves interaction on dynamically adapting grids”, Matem. Mod., 19:11 (2007), 83–95 |
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20. |
M. G. Lobok, V. I. Mazhukin, “Pulse time profile influence on laser processing”, Matem. Mod., 19:9 (2007), 54–78 |
1
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21. |
A. V. Mazhukin, V. I. Mazhukin, “Dynamic adaptation for parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1913–1936 ; Comput. Math. Math. Phys., 47:11 (2007), 1833–1855 |
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22. |
P. V. Breslavskiy, V. I. Mazhukin, “Dynamically adapted grids for interacting discontinuous solutions”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007), 717–737 ; Comput. Math. Math. Phys., 47:4 (2007), 687–706 |
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2006 |
23. |
V. I. Mazhukin, M. G. Nikiforov, Ch. Fievet, “Mathematical simulation of the spectrum of a nonequilibrium laser plasma”, Kvantovaya Elektronika, 36:2 (2006), 125–133 [Quantum Electron., 36:2 (2006), 125–133 ] |
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24. |
O. N. Korolëva, V. I. Mazhukin, “Mathematical simulation of laser induced melting and evaporation of multilayer materials”, Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006), 887–901 ; Comput. Math. Math. Phys., 46:5 (2006), 848–862 |
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2005 |
25. |
V. I. Mazhukin, M. V. Mazhukin, P. Berger, “Kinetics of optical breakdown of aluminum vapor in wide frequency range. Modern state of the problem”, Matem. Mod., 17:12 (2005), 27–79 |
1
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26. |
V. I. Mazhukin, V. V. Nosov, “Plasma-mediated surface evaporation of an aluminium target in vacuum under UV laser irradiation”, Kvantovaya Elektronika, 35:5 (2005), 454–466 [Quantum Electron., 35:5 (2005), 454–466 ] |
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2003 |
27. |
V. I. Mazhukin, V. V. Nosov, I. Yu. Smurov, “Plasma dynamics in air during laser shock processing of materials”, Matem. Mod., 15:2 (2003), 23–42 |
28. |
S. N. Andreev, V. I. Mazhukin, N. M. Nikiforova, A. A. Samokhin, “On possible manifestations of the induced transparency during laser evaporation of metals”, Kvantovaya Elektronika, 33:9 (2003), 771–776 [Quantum Electron., 33:9 (2003), 771–776 ] |
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2002 |
29. |
V. I. Mazhukin, V. V. Nosov, M. G. Nikiforov, I. Yu. Smurov, “Optical breakdown of aluminum vapor in the ultraviolet range”, Matem. Mod., 14:4 (2002), 3–20 |
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2001 |
30. |
A. A. Samarskii, V. I. Mazhukin, P. P. Matus, G. I. Shishkin, “Monotone difference schemes for equations with mixed derivative”, Matem. Mod., 13:2 (2001), 17–26 |
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31. |
M. M. Dëmin, V. I. Mazhukin, A. V. Shapranov, “Dynamic adaptation method for a laminar combustion problem”, Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001), 648–661 ; Comput. Math. Math. Phys., 41:4 (2001), 609–621 |
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32. |
V. I. Mazhukin, D. A. Malafei, P. P. Matus, A. A. Samarskii, “Difference schemes on irregular grids for equations of mathematical physics with variable coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 41:3 (2001), 407–419 ; Comput. Math. Math. Phys., 41:3 (2001), 379–391 |
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2000 |
33. |
V. I. Mazhukin, P. P. Matus, I. A. Mikhailuk, “Finite-difference schemes for the Korteweg–de Vries equation”, Differ. Uravn., 36:5 (2000), 709–716 ; Differ. Equ., 36:5 (2000), 789–797 |
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34. |
V. I. Mazhukin, V. V. Nosov, U. Semmler, “Analysis of temperature and thermal stress fields in pulse treatment of semiconductors”, Matem. Mod., 12:2 (2000), 75–83 |
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1997 |
35. |
A. A. Samarskii, V. I. Mazhukin, P. P. Matus, “Invariant difference schemes for differential equations with
transformation of the independent variables”, Dokl. Akad. Nauk, 352:5 (1997), 602–605 |
36. |
I. N. Kartashov, V. I. Mazhukin, V. V. Perebeinos, A. A. Samokhin, “Effect of gas-dynamic peturbations on vaporisation process due to modulated heat source”, Matem. Mod., 9:4 (1997), 11–26 |
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1996 |
37. |
A. A. Samarskii, V. I. Mazhukin, P. P. Matus, M. M. Chuiko, “Invariant difference schemes for equations of mathematical physics in nonstationary coordinate systems”, Differ. Uravn., 32:12 (1996), 1691–1700 ; Differ. Equ., 32:12 (1996), 1685–1694 |
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1995 |
38. |
P. V. Breslavskiy, V. I. Mazhukin, “Method for dynamic adaptation in problems of gas dynamiks”, Matem. Mod., 7:12 (1995), 48–78 |
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1994 |
39. |
V. I. Mazhukin, P. A. Prudkovskii, A. A. Samokhin, “Entropy variation on evaporation front”, Matem. Mod., 6:11 (1994), 3–10 |
40. |
V. V. Nosov, V. I. Mazhukin, “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 |
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1993 |
41. |
V. I. Mazhukin, A. A. Samarskii, A. V. Shapranov, “The dynamic adaptation method in the Burgers problem”, Dokl. Akad. Nauk, 333:2 (1993), 165–169 ; Dokl. Math., 38:11 (1993), 455–458 |
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42. |
I. V. Gusev, V. I. Mazhukin, “The analysis of nonequilibrium phenomena during laser action on metal vapors”, Matem. Mod., 5:11 (1993), 3–32 |
43. |
V. I. Mazhukin, P. A. Prudkovskii, A. A. Samokhin, “About gas-dynamical boundary conditions on evaporation front”, Matem. Mod., 5:6 (1993), 3–10 |
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44. |
V. I. Mazhukin, I. V. Gusev, A. V. Shapranov, “Influence of metastable states on process of pulse laser treatment of superconducting ceramics”, Matem. Mod., 5:5 (1993), 30–60 |
45. |
V. I. Mazhukin, V. V. Nosov, “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. |
V. I. Mazhukin, A. A. Samarskii, O. Kastelianos, A. V. Shapranov, “Method of dynamical adaption for evolution-type problems with high gradients”, Matem. Mod., 5:4 (1993), 32–56 |
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1991 |
47. |
P. V. Breslavskiy, V. I. Mazhukin, A. A. Samokhin, “On a hydrodynamic variant on the Stefan problem for matter in a metastable state”, Dokl. Akad. Nauk SSSR, 320:5 (1991), 1088–1092 |
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48. |
P. V. Breslavskiy, V. I. Mazhukin, “Computational algorythm of a hydrodynamical version of Stefan problem by dynamic adapting grid”, Matem. Mod., 3:10 (1991), 104–115 |
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1990 |
49. |
V. I. Mazhukin, L. U. Takoyeva, “The principles of dinamical adapting to solve grid construction into one-dimensial boundary problems”, Matem. Mod., 2:3 (1990), 101–118 |
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1989 |
50. |
V. F. Vasilevskii, V. I. Mazhukin, “Numerical calculations of temperature waves with weak discontinuities on nets with dynamic adaptation”, Differ. Uravn., 25:7 (1989), 1188–1193 ; Differ. Equ., 25:7 (1989), 840–843 |
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51. |
N. A. Dar'in, V. I. Mazhukin, “Mathematical modelling of non-stationary two-dimensional boundary value problems on dynamically adapted meshes”, Matem. Mod., 1:3 (1989), 29–43 |
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1988 |
52. |
N. A. Dar'in, V. I. Mazhukin, A. A. Samarskii, “The finite-difference method for solving one-dimensional equations
of gas dynamics on adaptive grids”, Dokl. Akad. Nauk SSSR, 302:5 (1988), 1078–1081 ; Dokl. Math., 33:10 (1988), 724–726 |
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53. |
N. A. Dar'in, V. I. Mazhukin, “An approach to the construction of adaptive difference grids”, Dokl. Akad. Nauk SSSR, 298:1 (1988), 64–68 ; Dokl. Math., 33:1 (1988), 14–16 |
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54. |
N. A. Dar'in, V. I. Mazhukin, A. A. Samarskii, “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 ; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 164–174 |
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55. |
N. A. Dar'in, V. I. Mazhukin, “An approach to adaptive grid construction for non-stationary problems”, Zh. Vychisl. Mat. Mat. Fiz., 28:3 (1988), 454–460 ; U.S.S.R. Comput. Math. Math. Phys., 28:2 (1988), 99–103 |
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1987 |
56. |
N. A. Dar'in, V. I. Mazhukin, “Mathematical modeling of the Stefan problem on an adaptive net”, Differ. Uravn., 23:7 (1987), 1154–1160 |
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1985 |
57. |
V. I. Mazhukin, A. A. Samokhin, “On some features of a mathematical model of the intense surface
evaporation of matter”, Dokl. Akad. Nauk SSSR, 281:4 (1985), 830–833 |
58. |
V. I. Mazhukin, G. A. Pestryakova, “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 ; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 69–77 |
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1984 |
59. |
V. I. Mazhukin, G. A. Pestryakova, “Mathematical simulation of the processes of the surface evaporation
under laser radiation”, Dokl. Akad. Nauk SSSR, 278:4 (1984), 843–847 |
60. |
V. I. Mazhukin, A. A. Samokhin, “Kinetics of a phase transition during laser evaporation of a metal”, Kvantovaya Elektronika, 11:12 (1984), 2432–2437 [Sov J Quantum Electron, 14:12 (1984), 1608–1611 ] |
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1983 |
61. |
V. I. Mazhukin, A. A. Uglov, B. N. Chetverushkin, “Low-temperature laser plasmas near metal surfaces in high-pressure gases (review)”, Kvantovaya Elektronika, 10:4 (1983), 679–701 [Sov J Quantum Electron, 13:4 (1983), 419–432 ] |
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62. |
M. I. Volchinskaya, V. I. Mazhukin, B. N. Chetverushkin, N. G. Churbanova, “Solution of two-dimensional non-stationary problems of the dynamics of a radiating gas”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1177–1185 ; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 99–105 |
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1982 |
63. |
V. I. Mazhukin, A. A. Uglov, B. N. Chetverushkin, “Optical breakdown of molecular nitrogen in a wide range of pressures near a solid target”, Kvantovaya Elektronika, 9:5 (1982), 906–917 [Sov J Quantum Electron, 12:5 (1982), 573–580 ] |
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64. |
M. I. Volchinskaya, V. I. Mazhukin, G. E. Repina, B. N. Chetverushkin, “Numerical modeling of a two-dimensional problem on the plasma discharge propagation”, Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982), 171–177 ; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 178–184 |
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1981 |
65. |
V. I. Mazhukin, A. A. Uglov, B. N. Chetverushkin, “On the propagation of low-temperature laser plasma in high-pressure nitrogen medium”, Dokl. Akad. Nauk SSSR, 257:3 (1981), 584–589 |
66. |
V. I. Mazhukin, A. A. Uglov, B. N. Chetverushkin, “Numerical simulation of laser plasma dynamics in high-pressure medium near a solid target”, Dokl. Akad. Nauk SSSR, 256:5 (1981), 1100–1105 |
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1980 |
67. |
V. I. Mazhukin, A. A. Uglov, B. N. Chetverushkin, “Numerical investigation of the problem of a laser discharge in a dense gas”, Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980), 451–460 ; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 182–190 |
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1979 |
68. |
V. I. Mazhukin, A. A. Uglov, B. N. Chetverushkin, “Modeling of dense molecular gas breakdown by laser radiation near a metallic surface”, Dokl. Akad. Nauk SSSR, 246:6 (1979), 1338–1342 |
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