Leader of the group Dynamical Systems and Numerical Analysis, MAS1: Dr.Ir. J.E. Frank
Time-dependent continuum models, described by partial differential equations, arise in myriad applications in the natural sciences, for example, fluid and solid mechanics and field theories. When appropriate, it has proven fruitful to focus on the temporal behavior of such sytems, viewing them as `infinite dimensional dynamical systems', thus making them accessible to the tools of dynamical systems theory. MAS1 engages in fundamental research on applied dynamical systems theory of PDEs, including asymptotics, low-dimensional dynamics, and stochastic modelling; and numerical analysis, with an emphasis on numerical time integration, geometric integration, and the dynamics of numerical algorithms.
Many of the applications of this group stem from Earth Science: climate and weather prediction, ocean waves, seabed morphology, and the transport and dynamics of phytoplankton.
This group is part of the cluster Modeling, Analysis and Simulation (MAS)