Persons: Parovik, Roman Ivanovich

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Parovik, Roman Ivanovich

Total publications:	83 (83)
in MathSciNet:	7 (7)
in zbMATH:	4 (4)
in Web of Science:	18 (18)
in Scopus:	4 (4)
Cited articles:	58
Citations:	259

Number of views:
This page:	3275
Abstract pages:	11797
Full texts:	4949
References:	2684

Associate professor

Doctor of physico-mathematical sciences (2019)

Speciality:

05.13.18 (Mathematical modelling, calculating methods, and the program systems)

Birth date:

22.02.1984

E-mail:

Website:

https://www.famous-scientists.ru/14876

Keywords:

return problems, fractional derivatives, density of a stream.

UDC:

517.958, 550.348, 550.338, 517.98

MSC:

26A33,34A08,35R11,33F05,37N30

Subject:

Generalized one-dimensional model for mass transfer of radon in ground and it exhalation in the surface layer of the atmosphere.

https://www.mathnet.ru/eng/person32149

https://scholar.google.com/citations?user=noBLKeMAAAAJ&hl=en

https://zbmath.org/authors/ai:parovik.roman-ivanovich

https://mathscinet.ams.org/mathscinet/MRAuthorID/920351

https://elibrary.ru/author_items.asp?spin=4295-6894

ISTINA

https://istina.msu.ru/workers/http://istina.msu.ru/profile/Romano84/

https://orcid.org/0000-0002-1576-1860

https://publons.com/researcher/2534457

https://www.webofscience.com/wos/author/record/F-1624-2014

https://www.scopus.com/authid/detail.url?authorId=44661594200

https://www.researchgate.net/profile/Roman_Parovik

https://arxiv.org/a/0000-0002-1576-1860

Full list of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	D. A. Tvyordyj, R. I. Parovik, “Application of high-performance computing to solve the cauchy problem with the fractional Riccati equation using an nonlocal implicit finite-difference scheme”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 46:1 (2024), 103–117
2.	A. Zh. Otenova, R. I. Parovik, “Mathematical model of a fractional nonlinear Mathieu oscillator”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 46:1 (2024), 70–88
3.	D. A. Tvyordyj, R. I. Parovik, “The optimization problem for determining the functional dependence of the variable order of the fractional derivative of the Gerasimov-Caputo type”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 47:2 (2024), 35–57
4.	A. I. Salimova, R. I. Parovik, “Mathematical model of Van der Pol-Airy fractional oscillator”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 47:2 (2024), 21–34
5.	Kim V.A., Parovik R.I., Rakhmonov Z.R., “Implicit finite-difference scheme for a Duffing oscillator with a derivative of variable fractional order of the Riemann-Liouville type”, Mathematics, 11:3 (2023), 538	3 ^[x]
6.	D. F. Mingazova, R. I. Parovik, “Some aspects of the qualitative analysis of the high-frequency geoacoustic emission model”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 42:1 (2023), 191–206
7.	Kh. T. Alimov, F. Kh. Dzamikhova, R. I. Parovik, “Fractional mathematical model Mcsherry”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 42:1 (2023), 164–179
8.	D. A. Tvyordiy, R. I. Parovik, A. R. Hayotov, A. K. Boltaev, “Parallelization of a numerical algorithm for solving the Sauchy problem for a nonlinear differential equation of fractional variable order using OpenMP technology”, Vestnik KRAUNTs. Fiz.-mat. nauki, 43:2 (2023), 87–110 ;	1 ^[x]
9.	D. A. Tvyordyj, R. I. Parovik, “Solution of the inverse problem of identifying the order of the fractional derivative in a mathematical model of the dynamics of solar activitythe at rising phase”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 45:4 (2023), 36–51
10.	R. I. Parovik, “Fractional model of geoacoustic emission”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 45:4 (2023), 24–35
11.	R. I. Parovik, “Qualitative analysis of Selkov's fractional dynamical system with variable memory using a modified Test 0-1 algorithm”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 45:4 (2023), 9–23
12.	D. A. Tvyordyj, E. O. Makarov, R. I. Parovik, “Research of stress-strain state of geo-environment by emanation methods on the example of $\alpha$(t)-model of radon transport”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 44:3 (2023), 86–104
13.	R. I. Parovik, “Implementation of the modified Test 0-1 algorithm for the analysis of chaotic modes of the fractional Duffing oscillator”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 44:3 (2023), 67–85
14.	Kh. M. Shadimetov, A. K. Boltaev, R. I. Parovik, “Construction of optimal interpolation formula exact for trigonometric functions by Sobolev's method”, Vestnik KRAUNTs. Fiz.-mat. nauki, 38:1 (2022), 131–146 ;	4 ^[x]
15.	R. I. Parovik, “Investigation of the Selkov fractional dynamical system”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 41:4 (2022), 146–166
16.	D. A. Tvyordyj, E. I. Malkin, R. I. Parovik, “Mathematical modeling of the propagation of a plane electromagnetic wave in a strip waveguide with inhomogeneous boundary conductivity”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 41:4 (2022), 66–88
17.	D. A. Tvyordyj, R. I. Parovik, “Mathematical modeling in matlab of solar activity cycles according to the growth-decline of the Wolf number”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 41:4 (2022), 47–64
18.	V. A. Kim, R. I. Parovik, “Implicit finite-difference scheme for a Duffing oscillator with a derivative of variable fractional order of the Riemann-Liouville type”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 179–198
19.	G. A. Katkova, E. O. Makarov, R. I. Parovik, “Computer program for modeling anomalous variations in radon volumetric activity based on the mechanism of its injection into the groundwater flow”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 165–178
20.	D. A. Tvyordyj, R. I. Parovik, “Fractional differential model of physical processes with saturation and its application to the description of the dynamics of COVID-19”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 119–136
21.	M. I. Gapeev, A. A. Solodchuk, R. I. Parovik, “Coupled oscillators as a model of high-frequency geoacoustic emission”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 88–100
22.	Parovik R. I., “Studies of the Fractional Selkov Dynamical System for Describing the Self-Oscillatory Regime of Microseisms”, Mathematics, 10:22 (2022), 4208	3 ^[x]
23.	Kim V.A., Parovik R.I., “Application of the explicit Euler method for numerical analysis of a nonlinear fractional oscillation equation”, Fractal and Fractional, 6:5 (2022) $https://doi.org/10.3390/fractalfract6050274$	3 ^[x]
24.	Tverdyi Dmitriy, Parovik Roman, “Application of the Fractional Riccati Equation for Mathematical Modeling of Dynamic Processes with Saturation and Memory Effect”, Fractal and Fractional, 6:3 (2022), 163 $https://doi.org/10.3390/fractalfract6030163$	11 ^[x]
25.	Tverdyi D., Parovik R., “Investigation of Finite-Difference Schemes for the Numerical Solution of a Fractional Nonlinear Equation”, Fractal and Fractional, 6:1 (2022), 23 , 27 pp. $https://doi.org/10.3390/fractalfract6010023$	12 ^[x]
26.	Y. Grushko, R. Parovik, “Fast pupil tracking based on the study of a boundary-stepped image model and multidimensional optimization Hook-Jives method”, Informatics and Automation, 20:2 (2021), 435–462
27.	Z. I. Sidorov, R. I. Parovik, A. V. Vukolov, V. S. Yakovleva, “Investigation of gamma background in parks and recreation areas of the city of petropavlovsk-kamchatsky”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 37:4 (2021), 183–202
28.	Parovik R., Tverdyi D., “Some Aspects of Numerical Analysis for a Model Nonlinear Fractional Variable Order Equation”, Mathematical and Computational Applications, 26:3 (2021), 55 , 11 pp.	8 ^[x]
29.	Yakovleva V., Yakovlev G., Parovik R., Zelinskiy A., Kobzev A., “Rainfall Intensity and Quantity Estimation Method Based on Gamma-Dose Rate Monitoring”, Sensors, 21:19 (2021), 6411 , 16 pp.	5 ^[x]
30.	Yakovleva V., Zelinskiy A., Yakovlev G., Parovik R., Kobzev A., “Model for Reconstruction of gamma-Background during Liquid Atmospheric Precipitation”, Mathematics, 9:14 (2021), 1636 , 10 pp.	5 ^[x]
31.	V. A. Kim, R. I. Parovik, “Investigation of forced oscillations of a Duffing oscillator with a variable fractional order derivative”, News of the Kabardin-Balkar scientific center of RAS, 2020, no. 1, 46–56
32.	A. R. Hayotov, F. A. Nuraliev, R. I. Parovik, Kh. M. Shadimetov, “Euler-Maclaurin type optimal formulas for numerical integration in Sobolev space”, Vestnik KRAUNTs. Fiz.-mat. nauki, 32:3 (2020), 75–101 ;
33.	R. I. Parovik, “Bulletin KRASEC. Physical and mathematical sciences. results for 10 years and development prospects”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 32:3 (2020), 8–14
34.	A. A. Shakirova, P. P. Firstov, R. I. Parovik, “Phenomenological model of the generation of the seismic mode «drumbeats» earthquakes accompanying the eruption of kizimen volcano in 2011-2012”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 33:4 (2020), 86–101
35.	R. I. Parovik, “Quality factor of forced oscillations of a linear fractional oscillator”, Tech. Phys., 65:7 (2020), 1015–1019
36.	Parovik R.I., “Mathematical Modeling of Linear Fractional Oscillators”, Mathematics, 8:11 (2020), 1879 , 26 pp.	20 ^[x]
37.	Kim V.A., Parovik R.I., “Mathematical Model of Fractional Duffing Oscillator with Variable Memory”, Mathematics, 8:11 (2020), 2063 , 14 pp.	14 ^[x]
38.	E. R. Novikova, R. I. Parovik, “Issledovanie tochek pokoya ereditarnoi dinamicheskoi sistemy Van-der-Polya-Duffinga”, Vestnik KRAUNTs. Fiz.-mat. nauki, 2019, no. 1(26), 71–77	1 ^[x]
39.	E. A. Gafurova, Y. L. Michaylov, Y. V. Grushko, R. I. Parovik, I. A. Kashutina, “Mathematical model of dynamics of small enterprises with account of memory effects”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019, no. 1(26), 46–53
40.	R. I. Parovik, “Chaotic Modes of the Fractional Duffing Oscillator”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
41.	R. I. Parovik, “Amplitude-frequency and phase-frequency characteristics of forced vibrations of nonlinear fractional oscillator”, Tech. Phys. Lett., 45:7 (2019), 660–663
42.	R. I. Parovik, “Numerical analysis of the Cauchy problem for a wide class fractal oscillators”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 1, 93–116
43.	R. I. Parovik, “Stability of some dynamic systems hereditarity”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 2(22), 8–19
44.	R. I. Parovik, “Chaotic regimes of a fractal nonlinear oscillator”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:2 (2018)
45.	R. I. Parovik, “Mathematical model of a wide class memory oscillators”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:2 (2018), 108–122	8 ^[x]
46.	R. I. Parovik, “On a Certain Finite-Difference Scheme for a Hereditary Oscillatory Equation”, J. Math. Sci. (N. Y.), 253:4 (2021), 547–557
47.	V. A. Kim, R. I. Parovik, “Calculation the maximum Lyapunov exponent for the oscillatory system of Duffing with a degree memory”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 3(23), 98–105
48.	Parovik R.I., “Research dynamic modes of stick-slip effect with the account of hereditarity”, IX INTERNATIONAL CONFERENCE SOLAR-TERRESTRIAL RELATIONS AND PHYSICS OF EARTHQUAKE PRECURSORS, 62, E3S Web of Conferences, 2018, 02015	1 ^[x]
49.	Lipko O.V., Parovik R.I., “The study of chaotic and regular regimes of the fractal oscillators FitzHugh-Nagumo”, IX INTERNATIONAL CONFERENCE SOLAR-TERRESTRIAL RELATIONS AND PHYSICS OF EARTHQUAKE PRECURSORS, 62, E3S Web of Conferences, 2018, 02017	3 ^[x]
50.	R. I. Parovik, “Mathematical modelling of hereditarity Airy oscillator with friction”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:1 (2017), 138–148
51.	R. I. Parovik, “Existence and uniqueness of the cauchy problem for a wide class of ereditary oscillators”, Meždunar. nauč.-issled. žurn., 2017, no. 10(64), 112–115
52.	Parovik R.I., “Radon transport model into a porous ground layer of finite capacity”, VIII INTERNATIONAL CONFERENCE SOLAR-TERRESTRIAL RELATIONS AND PHYSICS OF EARTHQUAKE PRECURSORS, 20, E3S Web of Conferences, 2017, 03004	1 ^[x]
53.	R. I. Parovik, “On a hereditarity vibrating system with allowance for the effects stick-slip”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 4(15), 30–35
54.	Parovik R.I., “On a credit oscillatory system with the inclusion of stick-slip”, VII INTERNATIONAL CONFERENCE “SOLAR-TERRESTRIAL RELATIONS AND PHYSICS OF EARTHQUAKES PRECURSORS”, E3S Web of Conferences, 2016, 00018	6 ^[x]
55.	Parovik R.I., “Explicit finite-difference scheme for the numerical solution of the model equation of nonlinear hereditary oscillator with variable-order fractional derivatives”, Archives of Control Sciences, 26:3 (2016), 429-435	14 ^[x]
56.	G. M. Vodinchar, O. K. Zhdanova, L. D. Ostroverhaya, R. I. Parovik, A. S. Perezhogin, O. V. Sheremet'eva, T. P. Yakovleva, “Solutions of mathematical olympiad «Vitus Bering - 2015»”, Bulletin KRASEC. Phys. & Math. Sci., 11:2 (2015), 93–98
57.	R. I. Parovik, “Finite-difference scheme for fractal oscillator with a variable fractional order”, Bulletin KRASEC. Phys. & Math. Sci., 11:2 (2015), 85–92
58.	R. I. Parovik, “Mathematical modeling of nonlocal oscillatory duffing system with fractal friction”, Bulletin KRASEC. Phys. & Math. Sci., 10:1 (2015), 16–21
59.	T. S. Kumykov, R. I. Parovik, “Mathematical modeling of changes in the charge cloud droplets in a fractal environment”, Bulletin KRASEC. Phys. & Math. Sci., 10:1 (2015), 11–15
60.	R. I. Parovik, “Mathematical modeling of oscillator hereditarity”, Computer Research and Modeling, 7:5 (2015), 1001–1021
61.	R. I. Parovik, “Numerical analysis some oscillation equations with fractional order derivatives”, Bulletin KRASEC. Phys. & Math. Sci., 9:2 (2014), 34–38
62.	R. I. Parovik, “On the numerical solution of equations fractal oscillator with variable order fractional of time”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2014, no. 1(8), 60–65
63.	R. I. Parovik, “Model subdiffusion radon in fractal porous medium”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2013, no. 2(7), 46–51
64.	R. I. Parovik, P. P. Firstov, “Phase analysis of time series of geophysical fields”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2013, no. 1(6), 23–29
65.	R. I. Parovik, “Modeling of choice leadership high school optimum decisions agreed upon with driving with managed solutions its affiliates”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2013, no. 1(6), 5–11
66.	R. I. Parovik, “Calculation specific functions of Mittag-Leffler in the computer mathematics Maple”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2012, no. 2(5), 51–61
67.	V. V. Samuta, V. A. Strelova, R. I. Parovik, “Nonlocal model of neoclassical economic growth Solow”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2012, no. 2(5), 37–41
68.	Ya. E. Shpilko, A. A. Solomko, R. I. Parovik, “Parametrization Samuelson equation model for Evans fixing, equilibrium price of the same product market”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2012, no. 2(5), 33–36
69.	R. I. Parovik, “Charts Strutt-Ince for generalized Mathieu equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2012, no. 1(4), 24–30
70.	R. I. Parovik, “Model radioactive radon decay”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2012, no. 1(4), 18–23
71.	R. I. Parovik, P. P. Firstov, E. O. Makarov, “Mathematical modeling of fractal dimension geomediumand”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2011, no. 2(3), 42–49
72.	R. I. Parovik, “Generalized equations of Mathieu”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2011, no. 2(3), 12–17
73.	V. S. Yakovleva, R. I. Parovik, “The algorithm of piecewise constant telemetric parameters segmentation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2011, no. 1(2), 46–56
74.	R. I. Parovik, “Solution nonlocal equations anomalous diffusion-advection radon in system soil-atmosphere”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2011, no. 1(2), 38–45
75.	R. I. Parovik, “Nonlocal model of diffusion-advection radon in ground-atmosphere”, Matem. Mod., 22:9 (2010), 95–106
76.	R. I. Parovik, Matem. Mod. Kraev. Zadachi, 3 (2010), 233–236
77.	R. I. Parovik, “Cauchy Problem for the Nonlocal Equation Diffusion-Advection Radon in Fractal Media”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(20) (2010), 127–132
78.	R. I. Parovik, “Model for unsteady of diffusion-advection of radon in soil-atmosphere”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2010, no. 1(1), 39–45
79.	R. I. Parovik, “The method of Greens function for one differential equation of a fractional order”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2010, no. 1(1), 17–23
80.	Yakovleva V.S., Parovik R.I., “Solution of diffusion-advection equation of radon transport in many-layered geological media”, Nukleonika, 55:4 (2010), 601-606
81.	R. I. Parovik, B. M. Shevtsov, “A Radon transfer processes in fracttional structure medium”, Math. Models Comput. Simul., 2:2 (2010), 180–185
82.	R. I. Parovik, P. P. Firstov, “The Algorithm of Calculation of Density of a Stream of Radon $(^{222}\textrm{Rn})$ from the Surface of the Ground”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2008, no. 3(4), 96–101
83.	R. I. Parovik, I. A. Iljin, P. P. Firstov, “Generalized one-dimensional model for mass transfer of radon ${}^{222}$Rn in ground and exhalation it in the surface layer of the atmosphere”, Matem. Mod., 19:11 (2007), 43–50

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