2 papers
math.NA2023
A novel energy-bounded Boussinesq model and a well balanced and stable numerical discretisation
Magnus Svärd, Henrik Kalisch
In this work, a novel Boussinesq system is put forward. The system is naturally nonlinearly entropy/energy-stable, and is designed for problems with sharply varying bathymetric fea…
math.NA2020
Stability issues of entropy-stable and/or split-form high-order schemes
Gregor J. Gassner, Magnus Svärd, Florian J. Hindenlang
The focus of the present research is on the analysis of local energy stability of high-order (including split-form) summation-by-parts methods, with e.g. two-point entropy-conservi…