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Mazhukin, Vladimir Ivanovich
Statistics Math-Net.Ru
Total publications: 68
Scientific articles: 68

Number of views:
This page:1819
Abstract pages:21830
Full texts:10990
References:1314
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person31656
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/228412
https://orcid.org/0000-0001-5590-3731

Publications in Math-Net.Ru Citations
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  mathnet; Math. Models Comput. Simul., 16:2 (2024), 223–234 1
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  mathnet  mathscinet; 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  mathnet  mathscinet; Math. Models Comput. Simul., 14:5 (2022), 819–828 2
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  mathnet  mathscinet; Math. Models Comput. Simul., 14:4 (2022), 662–676 5
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.  mathnet
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.  mathnet
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.  mathnet
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.  mathnet 2
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.  mathnet
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.  mathnet  elib 1
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  mathnet  elib; Math. Models Comput. Simul., 9:4 (2017), 448–456  scopus 28
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  mathnet  elib; Math. Models Comput. Simul., 9:3 (2017), 383–389  scopus 16
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  mathnet  elib; Math. Models Comput. Simul., 6:5 (2014), 542–550  scopus 3
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  mathnet  elib [Quantum Electron., 44:4 (2014), 283–285  isi  scopus] 23
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.  mathnet 		3
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.  mathnet 		4
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  mathnet  zmath; Math. Models Comput. Simul., 2:3 (2010), 396–405  scopus 1
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  mathnet  mathscinet; Comput. Math. Math. Phys., 48:11 (2008), 2102–2115  isi  scopus 9
2007
19. P. V. Breslavskiy, V. I. Mazhukin, “Modeling of shock waves interaction on dynamically adapting grids”, Matem. Mod., 19:11 (2007),  83–95  mathnet  mathscinet  zmath  elib 2
20. M. G. Lobok, V. I. Mazhukin, “Pulse time profile influence on laser processing”, Matem. Mod., 19:9 (2007),  54–78  mathnet  mathscinet  zmath 1
21. A. V. Mazhukin, V. I. Mazhukin, “Dynamic adaptation for parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007),  1913–1936  mathnet  mathscinet; Comput. Math. Math. Phys., 47:11 (2007), 1833–1855  scopus 19
22. P. V. Breslavskiy, V. I. Mazhukin, “Dynamically adapted grids for interacting discontinuous solutions”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  717–737  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 47:4 (2007), 687–706  elib  scopus 18
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  mathnet  elib [Quantum Electron., 36:2 (2006), 125–133  isi  scopus] 7
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  mathnet  mathscinet; Comput. Math. Math. Phys., 46:5 (2006), 848–862  scopus 8
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  mathnet  zmath 1
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  mathnet [Quantum Electron., 35:5 (2005), 454–466  isi] 5
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  mathnet  zmath
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  mathnet [Quantum Electron., 33:9 (2003), 771–776  isi] 13
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  mathnet  zmath 1
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  mathnet  mathscinet  zmath 4
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:4 (2001), 609–621 3
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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:3 (2001), 379–391 11
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  mathnet  mathscinet; Differ. Equ., 36:5 (2000), 789–797 5
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  mathnet 4
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  mathnet  mathscinet  zmath
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  mathnet  zmath 4
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  mathnet  mathscinet; Differ. Equ., 32:12 (1996), 1685–1694
1995
38. P. V. Breslavskiy, V. I. Mazhukin, “Method for dynamic adaptation in problems of gas dynamiks”, Matem. Mod., 7:12 (1995),  48–78  mathnet  mathscinet  zmath 11
1994
39. V. I. Mazhukin, P. A. Prudkovskii, A. A. Samokhin, “Entropy variation on evaporation front”, Matem. Mod., 6:11 (1994),  3–10  mathnet  zmath
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  mathnet  zmath 1
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  mathnet  mathscinet  zmath; Dokl. Math., 38:11 (1993), 455–458 4
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  mathnet  zmath
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  mathnet  zmath 6
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  mathnet  zmath
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  mathnet  zmath
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  mathnet  mathscinet  zmath 14
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  mathnet  zmath 2
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  mathnet 1
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  mathnet  mathscinet  zmath 4
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  mathnet  mathscinet  zmath; Differ. Equ., 25:7 (1989), 840–843 2
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  mathnet  mathscinet  zmath 4
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  mathnet  mathscinet  zmath; Dokl. Math., 33:10 (1988), 724–726 3
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  mathnet  mathscinet; Dokl. Math., 33:1 (1988), 14–16 4
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 164–174 10
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:2 (1988), 99–103 4
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  mathnet  mathscinet  zmath 9
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  mathnet
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  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 69–77
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  mathnet
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  mathnet [Sov J Quantum Electron, 14:12 (1984), 1608–1611  isi] 6
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  mathnet [Sov J Quantum Electron, 13:4 (1983), 419–432  isi] 3
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 99–105
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  mathnet [Sov J Quantum Electron, 12:5 (1982), 573–580  isi] 2
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  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 178–184
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  mathnet
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  mathnet
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  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 182–190
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  mathnet

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