2 papers
math.NA2026
Flux-Balanced Patankar-type Schemes for the Compressible Euler Equations
Thomas Izgin, Andreas Meister, Chi-Wang Shu +1
Positivity preservation of key physical quantities in the context of fluid flows, such as density and internal energy, is an essential property of a numerical scheme as otherwise t…
math.NA2023
On the non-global linear stability and spurious fixed points of MPRK schemes with negative RK parameters
Thomas Izgin, Stefan Kopecz, Andreas Meister +1
Recently, a stability theory has been developed to study the linear stability of modified Patankar--Runge--Kutta (MPRK) schemes. This stability theory provides sufficient condition…