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 
• Optimisation models in real world applications