3 citations · 6 across the 12 of their papers we have counts for
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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…
Order conditions for Runge--Kutta-like methods with solution-dependent coefficients
Thomas Izgin, David I. Ketcheson, Andreas Meister
In recent years, many positivity-preserving schemes for initial value problems have been constructed by modifying a Runge--Kutta (RK) method by weighting the right-hand side of the…
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…