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Efficient Time Integration of IMEX Type using Exponential Integrators for Compressible, Viscous Flow Simulation

We investigate the adaption of the recently developed exponential integrators called EPIRK in the so‐called domain‐based implicit‐explicit (IMEX) setting of spatially discretized PDE's. The EPIRK schemes were shown to be efficient for sufficiently stiff problems and offer high precision and good stability properties like A‐ and L‐stability in theory. In practice, however, we can show that these stability properties are dependent on the parameters of the interior approximation techniques.