We are mainly dealing with applied mathematics: we develop and employ mathematical approaches, methods and tools to investigate issues and questions which arise in different fields, from socio-economic to engineering and technological ones. Our research includes the various stages of modelling, analytical study and numerical simulations.
Covered Topics
Mathematical models for complex systems
Structures and properties of complex networks
Diffusion dynamics on top of complex networks
Mathematical models for socio-economic systems
Numerical methods for DAE and SDAE
Equations and simulations of ropeway dynamics
Theoretical physics: field theory, quantum system
Fractional calculus and linear viscoelasticity
Prabhakar fractional calculus
Exterior calculus and generalised electromagnetic models
Non-cooperative game theory with applications to economics
Optimality and welfare analysis of regulatory policies
Variable structure control
Memoryless algorithms for large scale optimisation
Limited memory approximations for the data matrices