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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…
math.NA2023
On the Dynamics of First and Second Order GeCo and gBBKS Schemes
Thomas Izgin, Stefan Kopecz, Angela Martiradonna +1
In this paper we investigate the stability properties of the so-called gBBKS and GeCo methods, which belong to the class of nonstandard schemes and preserve the positivity as well…