Local Extrapolation and Linear-Implicit Stabilization in a Parallel Coupling Scheme

We consider prediction strategies in a parallel coupling scheme for modular co-simulation: local extrapolation and a linear-implicit stabilization technique based on model information. That is, concerning local extrapolation, instead of using data points at the macro time points for generating the extrapolation polynomial (as it is done in the conventional global case), we use local data points only within the last macro time step. The linear-implicit stabilization technique predicts coupling quantities based on model information in terms of Jacobian matrices by performing a linear-implicit Euler step forward in time. We introduce and discuss these two prediction strategies and analyze their numerical properties, stability and accuracy, based on a simple test model.