· Numerical Methods for PDE:

- Shallow water in meteorology on structured and unstructured grids;

- Numerical simulations of the heat flow in a bioreactor;

- Kinetic schemes for Navier Stokes equations;

- Variational methods for image segmentation and classification;

- Application to the segmentation and classification of remote sensed images and biomedical images

 

· Inverse problems:

- Numerical solution of Fredholm integral equations of the first kind with application to atmospheric physics

 

· Numerical and statistical methods in finance, biology and atmospheric physics:

- Markov Switching models

- Study of isolated populations

- Parameter estimation in biological models

- Mass balance method to quantify trace gas emissions

· Stochastic processes:

- Stochastic models for the dynamics of single and coupled neurons

 

Maria Francesca Carfora

Research Interests