We consider linear dynamical systems consisting of ordinary differential equations with high dimensionality. The aim of model order reduction is to construct an approximating system of a much lower dimension. Therein, the reduced system may be unstable, even though the original system is asymptotically stable. We focus on projection-based model order reduction of Galerkin-type. A transformation...

In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin (ADER-DG) method. To obtain desired result, equip the space part of method with correction terms that balance production in space, inspired by work Abgrall. Whereas for time-discretization apply relaxation approach introduced Ketcheson allows to modify timestep preserve machine precision. Up our knowledge,...