Research interests

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.

If you are interested, please take contact with Antonella Zanna,

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:

- Isospectral flows
- Symmetric spaces
- Approximation of the matrix exponential