On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes

Since almost twenty years, modified Patankar–Runge–Kutta (MPRK) methods have proven to be efficient and robust numerical schemes that preserve positivity and conservativity of the production-destruction system irrespectively of the time step size chosen. Due to these advantageous properties they are...

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Veröffentlicht in:	ESAIM. Mathematical modelling and numerical analysis 2022-05, Vol.56 (3), p.1053-1080
Hauptverfasser:	Izgin, Thomas, Kopecz, Stefan, Meister, Andreas
Format:	Artikel
Sprache:	eng
Schlagworte:	Eigenvalues Integrators Partial differential equations Robustness (mathematics) Runge-Kutta method Stability analysis Turbulence models
Online-Zugang:	Volltext
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