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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: 256

Number of views:
This page:3250
Abstract pages:11201
Full texts:4654
References:2315
Parovik, Roman Ivanovich
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/?q=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 | by years | by types | by times cited | common list |


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

   2024
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  mathnet  crossref
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  mathnet  crossref
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  mathnet  crossref
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  mathnet  crossref

   2023
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  crossref  elib 3
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  mathnet  crossref
7. Kh. T. Alimov, F. Kh. Dzamikhova, R. I. Parovik, “Fractional mathematical model Mcsherry”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 42:1 (2023), 164–179  mathnet  crossref
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  mathnet  crossref; 1
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  mathnet  crossref
10. R. I. Parovik, “Fractional model of geoacoustic emission”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 45:4 (2023), 24–35  mathnet  crossref
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  mathnet  crossref
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  mathnet  crossref
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  mathnet  crossref

   2022
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  mathnet  crossref; 4
15. R. I. Parovik, “Investigation of the Selkov fractional dynamical system”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 41:4 (2022), 146–166  mathnet  crossref  mathscinet  elib
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  mathnet  crossref  mathscinet  elib
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  mathnet  crossref  mathscinet  elib
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  mathnet  crossref  elib
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  mathnet  crossref  elib
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  mathnet  crossref  elib
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  mathnet  crossref  elib
22. Parovik R. I., “Studies of the Fractional Selkov Dynamical System for Describing the Self-Oscillatory Regime of Microseisms”, Mathematics, 10:22 (2022), 4208  crossref  isi  elib 3
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)  crossref  isi  elib 3
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  crossref  isi  elib 10
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.  crossref  isi  elib 12

   2021
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  mathnet  crossref  scopus
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  mathnet  crossref
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.  crossref  isi  elib 8
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.  crossref  isi  elib 4
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.  crossref  isi  elib 5

   2020
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  mathnet  crossref  elib
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  mathnet  crossref  mathscinet;
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  mathnet  crossref
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  mathnet  crossref  elib
35. R. I. Parovik, “Quality factor of forced oscillations of a linear fractional oscillator”, Tech. Phys., 65:7 (2020), 1015–1019  mathnet  crossref  crossref  elib
36. Parovik R.I., “Mathematical Modeling of Linear Fractional Oscillators”, Mathematics, 8:11 (2020), 1879 , 26 pp.  crossref  isi  elib 20
37. Kim V.A., Parovik R.I., “Mathematical Model of Fractional Duffing Oscillator with Variable Memory”, Mathematics, 8:11 (2020), 2063 , 14 pp.  crossref  isi  elib 14

   2019
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  mathnet  crossref  elib 1
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  mathnet  crossref  elib
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.]  mathnet  crossref  zmath  isi  isi  elib  scopus

   2019
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  mathnet  crossref  crossref  elib

   2018
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  mathnet  crossref  elib
43. R. I. Parovik, “Stability of some dynamic systems hereditarity”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 2(22), 8–19  mathnet  crossref  elib
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)  mathnet  crossref  zmath  isi  elib
45. R. I. Parovik, “Mathematical model of a wide class memory oscillators”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:2 (2018), 108–122  mathnet  crossref  elib 8

   2021
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  mathnet  crossref  mathscinet  scopus

   2018
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  mathnet  crossref  elib
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  crossref  isi  elib 1
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  crossref  isi  elib 3

   2017
50. R. I. Parovik, “Mathematical modelling of hereditarity Airy oscillator with friction”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:1 (2017), 138–148  mathnet  crossref  isi  elib
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  mathnet  crossref  elib
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  crossref  isi  elib 1

   2016
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  mathnet  crossref  mathscinet  elib
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  crossref  isi  elib 6
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  crossref  isi  elib 13

   2015
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  mathnet  crossref  crossref  elib
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  mathnet  crossref  crossref  elib
58. R. I. Parovik, “Mathematical modeling of nonlocal oscillatory duffing system with fractal friction”, Bulletin KRASEC. Phys. & Math. Sci., 10:1 (2015), 16–21  mathnet  crossref  crossref  crossref  crossref  elib
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  mathnet  crossref  crossref  crossref  crossref  elib
60. R. I. Parovik, “Mathematical modeling of oscillator hereditarity”, Computer Research and Modeling, 7:5 (2015), 1001–1021  mathnet  crossref  elib

   2014
61. R. I. Parovik, “Numerical analysis some oscillation equations with fractional order derivatives”, Bulletin KRASEC. Phys. & Math. Sci., 9:2 (2014), 34–38  mathnet  crossref  crossref  elib
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  mathnet  crossref  elib

   2013
63. R. I. Parovik, “Model subdiffusion radon in fractal porous medium”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2013, no. 2(7), 46–51  mathnet  crossref  elib
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  mathnet  crossref  elib
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  mathnet  crossref  elib

   2012
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  mathnet  crossref  elib
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  mathnet  crossref  elib
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  mathnet  crossref  elib
69. R. I. Parovik, “Charts Strutt-Ince for generalized Mathieu equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2012, no. 1(4), 24–30  mathnet  crossref  elib
70. R. I. Parovik, “Model radioactive radon decay”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2012, no. 1(4), 18–23  mathnet  crossref  elib

   2011
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  mathnet  crossref  elib
72. R. I. Parovik, “Generalized equations of Mathieu”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2011, no. 2(3), 12–17  mathnet  crossref  elib
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  mathnet  crossref  elib
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  mathnet  crossref  elib

   2010
75. R. I. Parovik, “Nonlocal model of diffusion-advection radon in ground-atmosphere”, Matem. Mod., 22:9 (2010), 95–106  mathnet  mathscinet  elib
76. R. I. Parovik, Matem. Mod. Kraev. Zadachi, 3 (2010), 233–236  mathnet
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  mathnet  crossref  rsci
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  mathnet  crossref  elib
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  mathnet  crossref  elib
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  isi  elib
81. R. I. Parovik, B. M. Shevtsov, “A Radon transfer processes in fracttional structure medium”, Math. Models Comput. Simul., 2:2 (2010), 180–185  mathnet  crossref  zmath  elib  elib  scopus

   2008
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  mathnet

   2007
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  mathnet  zmath  elib

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