WP6: Finite versus infinite-dimensional dynamical systems

Our team has made several contributions in the description of the limit behaviour, as the mesh sizes tend to zero, of numerical schemes for wave and Schrödinger equations from a control theoretical perspective. These results show that, in particular, filtering the high frequency numerical spurious solutions is necessary (and a good remedy) to assure the convergence of numerical schemes from a control perspective. These results also provide insight into the link between conservative finite and infinite-dimensional dynamical systems and their asymptotic behaviour.