- Methods of mathematical modeling and their applications
- Nonlinear transport models
- Interaction of electromagnetic field with nonlinear systems
- Problems of modern ecology (including the Arctic region)
- Problems of industrial and natural aerosols spreading over water basins
- Mathematical models in economics
- Clusters and nanosystems theoretical and experimental research
- Molecular and biomolecular systems, Bionanocomplexes
- Neurosystems modelling
- Modeling of the information – active systems
- Synergistic aspects of modern science
- Numerical methods
- Difference equations
- Physical kinetic models
- Wave processes (including hydrodynamics)
- Real analysis
- Management in physical, technical, economic systems
- Artificial intelligence machine learning and computer vision modeling intelligent systems
- Managing of the technologies processes and smart manufacturing modeling of physical – chemical and mechanical properties of materials
- Mathematical models of high-precision processes of the materials handing