Department of physical and mathematical modeling

“A mechanic is not the one who writes equations, but the one who writes them in such a way that they integrate.” – Professor M.E. Zhukovsky

Volodymyr Kaian

Yevhen Pashchenko

Polina Chernii

Dmytro Koroliuk

Doctor of Physical and Mathematical Sciences, Senior Research Officer

Volodymyr Pichkur

 Doctor of Physical and Mathematical Sciences, Docent

Dmytro Chernii

Doctor of Technical Sciences, Docent

Main directions of scientific activity

• Theoretical and experimental studies of non-stationary physical processes and dynamical systems for the construction of new nonlinear mathematical models.
• Development of computing technologies that comprehensively combine mathematical models, numerical methods of mathematical physics and algorithms.
• Development of new effective methods of visualization and display of information.
• Development of computational modeling technologies for engineering and technological systems.
• Development of computational modeling technologies for forecasting systems of complex physical, dynamic and geodynamic processes.
• Construction of mathematical models of “system-of-systems” and computing technologies for advanced information systems, which are a set of problem-oriented or specialized systems, united by their resources and capabilities, to create a new integrated system that can offer greater functionality and performance than just the sum of its components.

Results and achievements

• Development of new effective methods for visualizing and displaying the results of a physical experiment.
• Development of mathematical models of complex physical phenomena and effects.
• Conducting a computational experiment to identify complex physical phenomena and effects.
• Development of computing technologies that comprehensively combine mathematical models, numerical methods of mathematical physics and algorithms.
• Development of computational modeling technologies for engineering and technological systems.
• Development of mathematical models of aerodynamic effects on the layout of advanced aircraft.
• Conducting a computational experiment to identify complex physical phenomena and effects.
• Development of computational modeling technologies for forecasting systems of complex physical, dynamic and geodynamic processes.
• Development of computer modeling technologies for engineering and technological systems.
• Development of computing technologies for information support of mobile modeling systems.

ITGIS NASU is a co-organizer of the International Symposia “Discrete Singularities Methods in Mathematical Physics” (DSMMPh), where the main experimental and theoretical results are regularly presented and discussed.

Employees of the Department of Physical and Mathematical Modeling regularly present the main experimental and theoretical results at various international scientific forums, such as:

• International Congress of Theoretical and Applied Mechanics, ICTAM
• International Conference “Problems of decision making under uncertainty” PROBLEMS OF DECISION MAKING UNDER UNCERTAINTIES Faculty of Cybernetics, Taras Shevchenko National University of Kyiv, Ukraine
• International scientific conference “Dynamic System Modeling and Stability Investigation” DSMSI PDMU
• International Symposium “Discrete Singularities Methods in Mathematical Physics” DSMMPh
• International scientific conference “Computational and Applied Mathematics” CAM Faculty of Cybernetics, Taras Shevchenko National University of Kyiv, Ukraine