Parametric state-time reduction for the transient analysis of multi-physical systems

This research focusses on computational cost reduction of transient simulations in many-query applications with varying model parameters, initial conditions and parametrised excitations. The typical model reduction approach is limited to the reduction of the dimension of the states or spatial variables, whereas the state-time model order reduction (STMOR) approach reduces both the states and the temporal dimension concurrently. A major novelty in the investigated STMOR approach is that the reduction occurs after time discretisation on an algebraic system of equations (AE).