Dynamical Systems and Numerical Analysis

Leader of the group Dynamical Systems and Numerical Analysis (MAC1): Jason 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.

Group members

Scientific staff: Daan Crommelin, Jason Frank, Jan Verwer

Guests and scientific advisors: Onno Bokhove, Arjen Doelman, Vivi Rottschafer, Huib de Swart, Antonios Zagaris

Postdocs: Martina Chirilus-Bruckner

PhD students: Janis Bajars, Jesse Dorrestijn, Bob Peeters, Sjors van der Stelt, Julia Zijlstra

Group publications

Publications of Dynamical Systems and Numerical Analysis

This group is part of the cluster Modelling, Analysis and Computing (MAC)