Equations, Dynamical Systems and Numerical Analysis
Programme leaders: A. Doelman, C.J. van Duijn
Description of the programme.
The main theme of this programme
is the analysis of non-linear differential equations and dynamical systems, from
low-dimensional systems such as maps (or discrete systems) and ordinary
differential equations, to high-dimensional systems, such as partial
differential equations and lattice equations. It is the aim of the programme to
develop fundamental insight in the complex behavior exhibited by non-linear
systems. The combination and cross-fertilization of mathematical analysis and
numerical methods plays an essential role in this context. The character of the
scientific research may be of a pure mathematical nature, but can also be mostly
numerical. The motivation may be intrinsically mathematical, or can be driven by
interactions with applications.