In the first part, we shall recall the definition of Hamiltonian systems defined with respect to a Dirac structure. Then we shall recall how these systems may be extended in order to describe open physical systems by including pairs of exte

June 6, 2016 41 min

Geometric integrators form a particular class of numerical schemes for evolutionary equations that are especially constructed in order to preserve the geometric properties of the equation they discretize such as energy conservation, and co

June 7, 2016 46 min