- Singular perturbations in mathematics and physics
- Mathematical modeling in the problems of electrodynamics
- The Sobolev type equations. Nonlinear functional analysis
- Big data processing theory The methods of processing big data, in particular, time series, are considered. Models are built based on various methods of mathematical modeling and machine learning. The work is carried out in cooperation with the Department of Mathematical Modeling and Computer Science of the Faculty of Physics.
- Mathematical modeling of complex processes and systems
- Modeling of electric vortex flows in liquid metals The work on the study of electric vortex flows is carried out jointly with colleagues from the Joint Institute of High Temperatures of the Russian Academy of Sciences (OIVT RAS). During the cooperation, we managed to achieve some success in the mathematical modeling of electric vortex flows.
- Ill-posed inverse problems and their applications
- Magnetic hydrodynamics of cosmic medium
- Mathematical modeling of physicochemical processes
- Discrete modeling of plasma
- Computer simulation in physics waves and quasiwaves
- Modeling of physical processes by the method of potentials
- Modeling of transport processes in the atmosphere