EICHWALD , Brice

Efficient time stepping algorithms are crucial for accurate long time simulations of nonlinear waves. In particular, adaptive time stepping combined with an integrating factor are known to be very effective. We propose a modification of the existing technique. The trick consists in subtracting a certain-order polynomial to a PDE. Then, like for...

We investigate the dynamics of a ball bouncing on a vibrated elastic membrane. Beyond the classical solid/solid case, we study the effect of introducing new degrees of freedom by allowing substrate oscillations. The forcing frequency of the vibration strongly influences the different thresholds between the dynamical states. The simple model...