Research interests

Modelling and simulation is a very broad field, ranging from mathematical and computer science fundamentals to general use and special applications; a selection of interests is therefore useful. Mathematical modelling is still looking for a correct description of hybrid models – ODEs/PDEs coupled with state event models, combined with the problem of concurrent events. In mechatronic models combined with network models, network analysis and dynamic resolution compete – now to be found in the field of cyber-physical systems.

In physiology modelling you can make do with classical models, but special control concepts require the integration of discrete elements; and reverse modelling based on non-invasive physiological measured values enables the determination of health parameters. Agent-based models appear as purely discrete structures, but allow an interesting approach via approximating stochastic PDEs. "Exotic" applications can also be charming: Modelling and simulation in (experimental) archaeology or in the field of art (painting, poetry).

And let's not forget teaching, without which research runs into empty space: Modelling and simulation are the basis for e-learning and web teaching, from refresher courses for a great number of students in mathematics to teaching, learning and project modules via web simulation systems for higher-level education. Modelling and simulation are an exciting field – they offer an abundance of design options for teachers and students.

Translated with (free version), slightly adapted by human