On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes

DOI10.1051/m2an/2023005zbMath1515.65192arXiv2205.01488OpenAlexW4315631935MaRDI QIDQ6041061

Andreas Meister, Stefan Kopecz, Chi-Wang Shu, Thomas Izgin, Juntao Huang

Publication date: 25 May 2023

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.01488

zbMATH Keywords

stabilitypositivity-preservingstrong-stability-preservingmodified Patankar-Runge-Kutta schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods ⋮ On the dynamics of first and second order GeCo and gBBKS schemes

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