Time-parallel multiscale/multiphysics framework

Abstract

We introduce the time-parallel compound wavelet matrix method (tpCWM) for modeling the temporal evolution of multiscale and multiphysics systems. The method couples time parallel (TP) and CWM methods operating at different spatial and temporal scales. We demonstrate the efficiency of our approach on two examples: a chemical reaction kinetic system and a non-linear predator–prey system. Our results indicate that the tpCWM technique is capable of accelerating time-to-solution by 2–3-orders of magnitude and is amenable to efficient parallel implementation.