Prefer a chat interface with context about you and your work?
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
We introduce a high-order space-time approximation of the Shallow Water Equations with sources that is invariant-domain preserving (IDP) and well-balanced with respect to rest states. The employed time-stepping technique is a novel explicit Runge-Kutta (ERK) approach which is an extension of the class of ERK-IDP methods introduced by Ern and …