Mathematical modeling of interconnected physical processes in complex environments, in particular, with a fractal structure.
Information technology design and analysis of technological processes and systems (CAD/CAE/CAM).
Parallel computing technologies.

Trained one Doctor of Technical Sciences and 15 Candidates of Technical Sciences.

• Fractal methods in data mining (cs)
• Mathematical problems of system analysis (122 - cs)

One monograph, five textbooks, 33 patents for inventions and utility models, more than 380 scientific articles in scientific and technical journals and materials of international conferences, in particular:

• Sokolovskyy Y., Kshyvetskyy B., Kindzera D., Somar H., Sokolovskyi I. Prediction of the strength of oakwood adhesive joints bonded with thermoplastic polyvinyl acetate adhesives // Chemistry & Chemical Technology. – 2023. – Vol. 17, №1. – P. 110–117.
• Sokolovskyy Y., Levkovych M., Mysyk M. Matrix approach to numerical modeling of heat-and-moisture transfer processes in a medium with a fractal structure // The experience of designing and application of CAD systems : proceedings of the 17th IEEE International conference (Jaroslaw, February 22–25, 2023). – 2023. – C. 44–48.
• Sokolovskyy Y., Samotii T., Kroshnyy I. Physics-informed neural network for modeling the process of heat-and-mass transfer based on the apparatus of fractional derivatives // The experience of designing and application of CAD systems : proceedings of the 17th IEEE International conference (Jaroslaw, February 22–25, 2023). – 2023.
• Sokolovskyy Y., Levkovych M., Yarkun V. Parallel algorithm for numerical modeling of anisotropic heat and mass transfer in fractal media // The experience of designing and application of CAD systems : proceedings of the 17th IEEE International conference (Jaroslaw, February 22–25, 2023). – 2023. – C. 39–43.
• Sokolovskyy Y., Sinkevych O. The use of cellular automata in the simulation of wood drying processes in a wood drying chamber of periodic action // Комп’ютерні системи проектування. Теорія і практика. – 2022. – Вип. 4, № 1. – С. 17–32.
• Sokolovskyy Y., Levkovych M., Ratynchuk D. B., Yarkun V. I. Software and algorithmic provision of parallel calculation of non-isothermal moisture transfer based on the apparatus of fractional derivatives // Комп’ютерні системи проектування. Теорія і практика. – 2022. – Вип. 4, № 1. – С. 95–106.
• Volodymyr Shymanskyi, Ivan Sokolovskyy, Yaroslav Sokolovskyy, Taras Bubnyak. Variational method for solving the time-fractal heat conduction problem in the claydite-block construction // Lecture Notes on Data Engineering and Communications Technologies. – 2022. – Vol. 134 : Advances in computer science for engineering and education. – P. 97–106.
• Volodymyr Shymanskyi, Yaroslav Sokolovskyy. Variational method for solving the viscoelastic deformation problem in biomaterials with fractal structure // CEUR Workshop Proceedings. – 2022. – Vol. 3132 : Selected papers of the VIII International scientific conference “Information Technology and Implementation” (IT&I-2021). Conference proceedings, Kyiv, Ukraine, December 01-03, 2021. – P. 125–134.
• Volodymyr Shymanskyi, Yaroslav Sokolovskyy, Olha Mokrytska, Iryna Boretska, Oleksiy Sinkevych, Volodymyr Kryshtapovych. Modeling of heat transfer and deformation processes in biomaterials with fractal structure // CEUR Workshop Proceedings. – 2021. – Vol. 3038 : Proceedings of the 4th International conference on informatics & data-driven medicine IDDM 2021, Valencia, Spain, November 19 – 21, 2021. – P. 205–212.
• Methods and tools in CAD – selected issues. – Białystok: Publishing House of Białystok University of Technology, 2021. Sokolovskyy Y. Parametric identification and modeling of rheological behavior of materials with fractal structure during heat treatment / Y. Sokolovskyy, V. Shymanskyi, M. Levkovych, Y. Kaspryshyn. – pp.107–118.
• Methods and tools in CAD – selected issues. – Białystok: Publishing House of Białystok University of Technology, 2021. Sokolovskyy Y. Development software for study the wood drying chamber by using a three-dimensional mathematical model based on cellular automata / Y. Sokolovskyy, O. Sinkevych, R. Voliansky, I. Kapran. – c.133–144.
• Andriy Holovatyy, Sofia Holovata, Yaroslav Sokolovskyy, Bohdan Pobereyko. Mathematical modeling of boundary stress state of orthotropic material // IOP Conference Series: Materials Science and Engineering. – 2021. – Vol. 1016 : CAD in machinery design: implementation and educational issues (CADMD 2020) 26th -27th November 2020, Lviv, Ukraine.
• Sokolovskyy Y., Sinkevych O., Levkovych M., Shymanskyi V., Yarkun V. The use of cellular automata in the study of heat and mass transfer processes in particular during wood drying  // IOP Conference Series: Materials Science and Engineering. – 2021. – Vol. 1016 : CAD in machinery design: implementation and educational issues (CADMD 2020) 26th -27th November 2020, Lviv, Ukraine.
• Sokolovskyy Y., Shymanskyi V., Levkovych M., Sokolovskyy I., Campos J. Mathematical modeling of rheological behavior of anisotropic biomaterials with taking into account effects of memory and self-organization // CEUR Workshop Proceedings. – 2020. – Vol. 2753 : Proceedings of the 3rd International conference on informatics & data-driven medicine (Växjö, Sweden, November 19 – 21, 2020). – P. 377–386.
• Volodymyr Shymanskyi, Yaroslav Sokolovskyy. Variational formulation of viscoelastic deformation problem In capillary-porous materials with fractal structure // Advances in Intelligent Systems and Computing (AISC). – 2021. – Vol. 1293 : Advances in Intelligent Systems and Computing V. Selected papers from the International conference on computer science and information technologies, CSIT 2020, September 23-26, 2020, Zbarazh, Ukraine. – Р. 640–654.
• Volodymyr Shymanskyi, Yaroslav Sokolovskyy. Variational formulation of viscoelastic problem In biomaterials with fractal structure // CEUR Workshop Proceedings. – 2020. – Vol. 2753 : Proceedings of the 3rd International conference on informatics & data-driven medicine (Växjö, Sweden, November 19 – 21, 2020). – P. 360–369.
• Sokolovskyy Y., Levkovych M., Mokrytska O., Kaspryshyn Y., Yavorska N. Investigation on the processes of deformation, heat- and-moisture transfer in media with the properties of the effects of “memory” and self-similarity // Data stream mining & processing (DSMP) : proceedings of the IEEE Third international conference, August 21–25, 2020, Lviv, Ukraine. – 2020. – C. 382–385.
• Sokolovskyy Y., Levkovych M., Yarkun V., Protsyk Y., Nechepurenko A. Parallel realization of the problem of heat and moisture transfer in fractal-structure materials // Комп’ютерні науки та інформаційні технології: матеріали XV Міжнародної науково-технічної конференції (Збараж, 23–26 вересня 2020 р.). – 2020. – C. 86–90.
• Yaroslav Sokolovskyy, Andriy Nechepurenko, Olha Herasymchuk, Olha Mokrytska, Tetiana Samotii. Software and algorithmic aspects of automating finite-element discretization // Досвід розробки та застосування САПР : матеріали 16-ї Міжнародної науково-технічної конференції CADSM-2021 (Львів, 22-26 лютого 2021 р.). – 2021. – C. 28–33.
• Yaroslav Sokolovskyy, Oleksiy Sinkevych, Volodymyr Shymanskyi, Iryna Boretska, Tetiana Samotii. Construction of asynchronous cell-automatic model for research the thermal mass transfer process // Перспективні технології і методи проєктування МЕМС : матеріали XVII Міжнародної науково-технічної конференції MEMSTECH, Поляна, Україна, 12–16 травня 2021 р. – 2021. – C. 29–33.
• Levkovych M., Sokolovskyy Y., Storozhuk O., Kroshnyy I., Kshyvetskyy B., Boretska I. Mathematical modeling and experimental studies of acoustic wave propagation in anisotropic medium // Досвід розробки та застосування САПР : матеріали 16-ї Міжнародної науково-технічної конференції CADSM-2021 (Львів, 22-26 лютого 2021 р.). – 2021. – C. 19–23.
• Yaroslav Sokolovskyy, Volodymyr Yarkun, Mar’iana Levkovych, Oleksandr Storozhuk, Ihor Kapran. Software and algorithmic aspects of parallel calculation of non-isothermal moisture transfer in fractal-structure materials // Перспективні технології і методи проєктування МЕМС : матеріали XVII Міжнародної науково-технічної конференції MEMSTECH, Поляна, Україна, 12–16 травня 2021 р. – 2021. – C. 171–175.
• Volodymyr Shymanskyi, Yaroslav Sokolovskyy. Variational formulation of the stress-strain problem In capillary-porous materials with fractal structure // Комп’ютерні науки та інформаційні технології : матеріали XV Міжнародної науково-технічної конференції CSIT-2020, Львів, Збараж, Україна, 23–26 вересня 2020 р. – 2020. – C. 200–203.
• Volodymyr Shymanskyi, Yaroslav Sokolovskyy, Iryna Boretska, Ivan Sokolovskyy, Oleksandr Markelov, Oleksandr Storozhuk. Application of FEM with piecewise Mittag-Leffler functions basis for the linear elasticity problem in materials with fractal structure // Перспективні технології і методи проєктування МЕМС : матеріали XVII Міжнародної науково-технічної конференції MEMSTECH, Поляна, Україна, 12–16 травня 2021 р. – 2021. – C. 16–19.
• I. Sokolovskyy, O. V. Sinkevych The use of cellular automata in modeling the processes of wood drying in a stack // Ukrainian Journal of Information Technologies. 2021; Volume 3, Number 2 : p. 39-44
• Sokolovskyy, D.Manokhin, Y. Kaplunsky, O. Mokrytska. Development Of Software And Algorithmic Provision Of Parallel Training Of Artificial Neural Networks Using Cuda Technologies// Technology audit and production reserver.- 2021.- № 5 .-р.21-29
• Sokolovskyy, Y.I., Boretska, I.B., Gayvas, B.I., Kroshnyy, I.M., Nechepurenko, A.V. Mathematical modeling of convection drying process of wood taking into account the boundary of phase transitions // Mathematical Modeling and Computing, 2021, 8(4), pp. 830–841.
• Shymanskyi, V., Sokolovskyy, Y. Finite Element Calculation of the Linear Elasticity Problem for Biomaterials with Fractal Structure //Open Bioinformatics Journal, 2021, 14(1), pp. 114–122.
• Sokolovskyy Y., Sinkevych O. Study of Heat and Mass Transfer into Biomaterials by Using Asynchronous Cellular Automata //XVI International Scientific and Technical Conference on Computer Science and Information Technologies – CSIT2021, 22-25 September, 2021. Vol.1, pp.415-418.
• Sokolovskyy, O. Sinkevych, M. Levkovych, V. Shymanskyi, V. Yarkun The use of cellular automata in the study of heat and mass transfer processes in particular during wood drying // Materials Science and Engineering (MSE),Volume 1016, 012017, 2021.
• Ya. Sokolovskyy, I. Boretska, I. Kroshnyy, S. Yatsyshyn, O. Storozhuk Mathematical model of reological behavior of wood plate taking into account the zone of vaporation of moisture // Materials Science and Engineering (MSE),Volume 1016, 012008, 2021.

Education:

• Professor title, 2003.
• Doctoral dissertation “Deformability of wood and wood composite materials with variable heat and mass transfer potentials”, National Forestry University of Ukraine, 2001.
• PhD thesis “Stressed and thermally stressed state of transversely isotropic medium with anisotropic spheroidal inclusions”, Kyiv National University named after Taras Shevchenko, 1991.
• Postgraduate studies at the Kyiv National University named after T. Shevchenko, 1988-1991, candidate of physical and mathematical sciences, 1991.
• T.Shevchenko Kyiv National University, 1986.

Professional activity:

• 2018-present time – professor of the Department of Information Systems
• 2018-present time – professor of the department of SAP NULP.
• 2002-2021 – head of the department of National Technical University of Ukraine.
• 1997-2002 – associate professor of National Technical University of Ukraine.
• 1994-1997 – doctoral student of National Technical University of Ukraine.
• 1991-1994 – Researcher of National Technical University of Ukraine.
• 1988-1991 – graduate student of T. Shevchenko Kyiv National University.

• International grant in the field of fundamental research under the ISSEP program, 2002.
• International grant under the DAAD program (University of Hamburg, Germany), 2002.

• Award of Lviv Regional Administration and Regional Council, 2019.
• Excellence in Education of Ukraine, 2018.
• Honorary certificate of the Ministry of Education and Science of Ukraine, 2006.

1st semester
2nd semester