Mathematical Foundations (MATH)
text
Description
Description
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