Parovik Roman Ivanovich

Doctor of Science (Phys. & Math.), Associate Professor, Leading Researcher

 Area of ​​interest

 
     Mathematical modeling of dynamic processes, direct and inverse problems of mathematical physics, integral transformations, fractional calculus, fractional oscillators, quantitative and qualitative analysis of dynamic systems, numerical methods for solving initial and boundary value problems, computer modeling, application of nonlocal dynamic processes in geophysics and other sciences.

 Research activities

      From 2006 to 2009, he completed full-time postgraduate studies at the Federal State Budgetary Institution of Science, Institute of Cosmophysical Research and Radio Wave Propagation, Far Eastern Branch of the Russian Academy of Sciences, in the scientific specialty 05.13.18. “Mathematical modeling, numerical methods and program complexes” and successfully passed the candidate exams, scientific advisor, Doctor of Physical and Mathematical Sciences, Prof., Shevtsov B.M.

      In 2009, a dissertation for the scientific degree of Candidate of Physical and Mathematical Sciences was defended on the topic “Mathematical modeling of radon transfer processes in the soil-atmosphere system”, awarded by the decision of the Council for the Defense of Dissertations for the scientific degree of Candidate of Sciences, on the basis of Komsomolsk-on-Amur. Amur Technical University DM 212.092.03 No. 28 dated October 15, 2009 and issued a diploma DKN No. 102497 by the Decision of the Higher Attestation Commission of the Ministry of Education and Science of the Russian Federation (order 12 of 02.12.2010 No. 5k/98).

      From November 2010 to November 2014, he was a candidate for the academic degree of Doctor of Physical and Mathematical Sciences at the Institute of Applied Mathematics and Automation of the KB Scientific Center of the Russian Academy of Sciences (Nalchik, Kabardino-Balkaria) in the scientific specialty 05.13.18. “Mathematical modeling, numerical methods and software packages” on the topic “Application of fractional calculus in the theory of oscillatory systems”, scientific consultant, Doctor of Physical and Mathematical Sciences, Prof., Nakhushev A.M. During this period of time, he regularly carried out scientific internships at the Institute of Applied Mathematics and Automation of the KB Scientific Center of the Russian Academy of Sciences at the expense of grants from the Russian Foundation for Basic Research, and regularly participated in research seminars of the Institute on modern analysis, computer science and physics (head, Doctor of Physical and Mathematical Sciences, Prof. Nakhushev A.M.).

     Since 2013, I have been actively participating in scientific events organized by the National University of Uzbekistan named after Mirzo Ulugbek, the Institute of Mathematics named after V.I. Romanovsky Uzbekistan Academy of Sciences, Institute of Mechanics and Seismic Stability of Structures M.T. Urazbayev Uzbek Academy of Sciences, I speak at seminars of academician of Uzbekistan Academy of Sciences Salakhitdinov M.S., prof. Sultanova K.S., prof. Aripova, prof. Shadimetova, prof. Ashurova R.R.

     In 2017, he received the academic title of associate professor in the specialty “Mathematical modeling, numerical methods and software packages” Order of the Ministry of Education and Science of the Russian Federation dated September 20, 2017, Moscow, No. 918/NK-2 and issued a certificate ZDC No. 009175.

     In 2019, a dissertation was defended for the degree of Doctor of Physical and Mathematical Sciences (Doctor of Science) on the topic “Application of fractional calculus in the theory of oscillatory systems with memory” in the scientific specialty 05.01.07 “Mathematical modeling. Numerical methods and software packages” was awarded on December 24, 2019 by the scientific council DSc.27.06.2017.FM.01.02 at the National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Republic of Uzbekistan.

 

Head and grant executor

      RSF grant - Conducting fundamental scientific research and exploratory scientific research by individual scientific groups “Modeling dynamic processes in geospheres taking into account heredity” No. 22-11-00064 for 2022-2024. (supervisor).

      Grant of the President of the Russian Federation for state support of young Russian scientists - doctors of science “Development of mathematical models of fractional dynamics for the purpose of studying oscillatory processes and processes with saturation” (MD-758.2022.1.1) for 2022-2023 (supervisor).

     RFBR grant No. 19-31-50027 mol_nr "Mathematical modeling of some physical processes using the hereditary Riccati equation" 2019-2020 (supervisor).

    Grant of the President of the Russian Federation for state support of young Russian scientists - candidates of sciences “Research of the properties of a wide class of fractal oscillators and their possible applications” (MK-1152.2018.1) for 2018-2019 (supervisor).

    RFBR Grant No. 12-05-16033-mob_z_ros, Scientific project "Properties of the solution of the nonlocal Mathieu equation" for presentation at the scientific event Second International Russian-Uzbek Symposium "Equations of mixed type and related problems of analysis and computer science" on 05/28/2012 - 06/01/2012 .

    RFBR grant No. A-16-05-00162 “Precursors of strong earthquakes in the field of subsoil radon at the Petropavlovsk-Kamchatka geodynamic site” for 2017-2018 (executor)

    RFBR grant No. 11-01-90715-mob_st "Mathematical modeling of some diffusion-wave processes in fractal media" for 07/01/2011-08/01/2011.

    Analytical departmental target program No. 2.1.1.544 "Mass transfer of radioactive gas radon in fractured porous media and its impact on the surface layer of the atmosphere" for 2009-2010.

    RFBR grant No. 09-01-90706-mob_st "Development, research and analysis of a model of radon mass transfer in loose sediments in the superdiffusion mode with advection, and a model taking into account runoff into the surface layer of the atmosphere" for 01.08.2009-31.08.2009.

 

Participation in the editorial boards of scientific journals

   Since April 2010, I have been the executive secretary, and since November 2020, I have been the deputy editor-in-chief of the peer-reviewed scientific journal "Bulletin of KRAUNC. Physical and Mathematical Sciences", which has been included in the list of the Higher Attestation Commission since 2017 and a number of international and Russian citation databases (zbMath , MathSciNet, Math-Net, RSCI, Crossref, DOAJ, Ulrich's Periodical Directory, Google Scholar, WorldCat).

   Member of the editorial board of journals:

1. Bulletin of the Dagestan State University. Series 1: Natural Sciences (HAK)

2. Problems of mechanics (Uzbekistan)

3. MDPI Mathematics (Switzerland, Q1).

     Organized a number of special issues in MDPI journals as a guest editor and co-editor:

in 2020 together with Professor Pskhu A.V. in the journal Mathematics, the title of the special issue is “Mathematical Modeling of Hereditary Oscillatory Systems.”

in 2021 together with Professor Ashurov R.R. in the journal Fractal and Fractional, the title of the special issue is “Fractional Calculus and Fractals in Mathematical Physics.”

in 2021 as co-editor with Professor Pskhu A.V. in the journal Fractal and Fractional, the title of the special issue is “Fractional Evolutionary Equations and Modeling of Dissipative Processes.”

In 2022, as co-editor with Professor Yakovleva V.S. in the journal Mathematics, the title of the special issue is “Mathematics in Geophysical Research.”

In 2022, as a co-editor with professors from Uzbekistan, Khayotov A.R. and Shadimetov Kh.M. in the journal Mathematics, the title of the special issue is “Computational Mathematics and Mathematical Modeling.”

     I have 350 publications, of which: 85 publications from the list of Higher Attestation Commissions, 46 publications in international journals Web of Science, Scopus, 10 monographs, 5 textbooks, 13 certificates of registration of computer programs, other publications in other peer-reviewed journals, materials, works and theses conferences.