My main area of interest is the numerical solution of Differential Equations. Here is a list of topics I am interested in at present. Many of these can be suitable for a Master Project or PhD project.
Topics:
Geometric methods for Hamiltonian/Poisson problems, variational integrators, Lagrangian mechanics, nonholonomic systems
Splitting methods
Volume preserving methods for divergence-free vector fields
Highly oscillatory equations
Applications to molecular dynamics
Lie-group methods
Integration of differential equations on manifolds
Geometric methods in image processing with applications to biomedical imaging
Diffusion Tensor Imaging
Rigid/non rigid registration
Level sets, segmentation
Other research interests:
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