The mathematical model of many time- and space-dependent processes is described by partial differential equations. If there is uncertainty in the equation, then the uncertainty can be modeled using stochastic partial differential equations. If a process taking place in a given location and/or at a given time instance is also affected by events further away in space and/or time, then the process can be described using non-local differential equations.
The focus of the group's work is the mathematical theory and numerical analysis of the above equations.
