Parabolic boundary-value problems with free bounds, inverse problems of parameter identification, modeling of hydrogen interaction with metals.
Main publications:
Gabis I. E., Voit A. P., Evard E. A., Zaika Yu. V., Chernov I. A., “Kinetika vydeleniya vodoroda iz poroshkov gidridov metallov”, Materialovedenie, 7:112 (2006), 43–48
Gabis I., Voit A., Evard E., Zaika Yu, Chernov I., Yartys V., “Kinetics of Hydrogen Desorption from Powders of Hydrides of Metals”, Journal of Alloys and Compounds, 404-406S (2005), 312–316
Zaika Yu., Chernov I., Gabis I., “Modeling high-temperature TDS-Spectra peaks of metal-hydrogen systems”, Journal of Alloys and Compounds, 404-406S (2005), 332–334
Zaika Yu. V., Chernov I. A., “Kraevaya zadacha s dinamicheskimi granichnymi usloviyami i dvizhuscheisya granitsei (kinetika degidrirovaniya)”, Matematicheskoe modelirovanie, 16:4 (2004), 3–16
Zaika Yu. V., Chernov I. A., “Nonlinear dynamical boundary-value problem of hydrogen thermal desorption”, International Journal of Mathematics and Mathematical Sciences, 2003, № 23, 1447–1463
I. A. Chernov, “Class of symmetric form for a model of the hydride phase transition”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223 (2023), 128–137
2020
2.
I. A. Chernov, “High-throughput identification of hydride phase-change kinetics models”, Computer Research and Modeling, 12:1 (2020), 171–183
Ilya A. Chernov, “Multi-agent search in a set: distribution of effort and estimating the efficiency”, Mat. Teor. Igr Pril., 12:2 (2020), 110–121
2018
4.
Ilya A. Chernov, “Game-theoretic model of a volunteer computing grid”, Mat. Teor. Igr Pril., 10:3 (2018), 76–90
5.
I. A. Chernov, N. N. Nikitina, “Effective scanning of parameter space in a Desktop Grid
for identification of a hydride decomposition model”, Program Systems: Theory and Applications, 9:4 (2018), 53–68
I. A. Chernov, N. N. Nikitina, “Effective scanning of parameter space in a Desktop Grid
for identification of a hydride decomposition model”, Program Systems: Theory and Applications, 9:4 (2018), 35–52
2017
7.
I. A. Chernov, “On solvability of one difference equation”, Probl. Anal. Issues Anal., 6(24):1 (2017), 41–45
8.
I. A. Chernov, E. E. Ivashko, N. N. Nikitina, “A survey of task scheduling in Desktop Grid”, Program Systems: Theory and Applications, 8:3 (2017), 3–29
2013
9.
I. A. Chernov, E. E. Ivashko, N. N. Nikitina, I. E. Gabis, “Numerical identification of the dehydriding model in a BOINC-based grid system”, Computer Research and Modeling, 5:1 (2013), 37–45
N. N. Nikitina, I. A. Chernov, “Solvability of the difference equations for the dynamics of cumulative sums”, Probl. Anal. Issues Anal., 2(20):2 (2013), 68–81
S. V. Manicheva, I. A. Chernov, “Mathematical model of hydride phase change in a symmetrical powder particle”, Computer Research and Modeling, 4:3 (2012), 569–584
I. A. Chernov, “Сходимость сеточно-интерполяционных аппроксимаций решения квазилинейной параболической краевой задачи на отрезке”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2010, no. 17, 26–37
Yu. V. Zaika, I. A. Chernov, “Chernov. Boundary-value problem with dynamical boundary conditions and moving phase bound (dehydrating kinetics)”, Matem. Mod., 16:4 (2004), 3–16
I. A. Chernov, “Классическое решение краевой задачи с динамическими граничными условиями”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2000, no. 7, 109–121
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