- methods of mathematical modeling and their applications
- numerical methods
- differential and difference equations
- equations of mathematical physics
- mathematical methods in mechanical engineering
- methods of mathematical analysis and theory of functions of a complex variable
- wave processes (including hydrodynamics)
- interaction of electromagnetic fields with nonlinear systems
- high-performance computing
- modeling of clusters and nanosystems
- modeling of neurosystems
- models of physical kinetics
- problems of modern ecology (including in the Arctic region)
- mathematical models in economics
- management in physical, technical, and economic systems
- artificial intelligence and machine learning
- modeling of robotic and other intelligent systems
- modeling of physical, chemical and mechanical properties of materials
- other fundamental and applied problems