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math.NA2024★ 1 cited
A Boot-Strapping Technique to Design Dense Output Formulae for Modified Patankar-Runge-Kutta Methods
Thomas Izgin
In this work modified Patankar-Runge-Kutta (MPRK) schemes up to order four are considered and equipped with a dense output formula of appropriate accuracy. Since these time integra…
math.NA2024★ 1 cited
A Unifying Theory for Runge-Kutta-like Time Integrators: Convergence and Stability
Thomas Izgin
The work deals with two major topics concerning the numerical analysis of Runge-Kutta-like (RK-like) methods, namely their stability and order of convergence. RK-like methods diffe…