The RS-IMEX splitting for the isentropic Euler equations
نویسندگان
چکیده
Approximating solutions to singularly perturbed differential equations necessitates the use of stable integrators. One famous approach is to split the equation into stiff and non-stiff parts. Treating stiff parts implicitly, non-stiff ones explicitly leads to so-called IMEX schemes. These schemes are supposed to exhibit very good accuracy and uniform stability, however, not every (seemingly reasonable) splitting induces a stable algorithm. In this paper, we present a new IMEX-splitting based on a reference solution (RS) applied to the isentropic Euler equations.
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