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Cited article:
Thomas Izgin , Stefan Kopecz , Andreas Meister
ESAIM: M2AN, 56 3 (2022) 1053-1080
Published online: 2022-05-13
This article has been cited by the following article(s):
13 articles
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Preservation of Lyapunov stability through effective discretization in Runge–Kutta method
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A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations
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Bound-Preserving Discontinuous Galerkin Methods with Modified Patankar Time Integrations for Chemical Reacting Flows
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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 and Amandine Schilling Numerical Algorithms 96 (3) 1221 (2024) https://doi.org/10.1007/s11075-024-01770-7
Second-Order Modified Nonstandard Explicit Euler and Explicit Runge–Kutta Methods for n-Dimensional Autonomous Differential Equations
Fawaz K. Alalhareth, Madhu Gupta, Hristo V. Kojouharov and Souvik Roy Computation 12 (9) 183 (2024) https://doi.org/10.3390/computation12090183
Structure‐preserving numerical methods for Fokker–Planck equations
Hanna Bartel, Joshua Lampert and Hendrik Ranocha PAMM 24 (4) (2024) https://doi.org/10.1002/pamm.202400007
A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods
Thomas Izgin and Philipp Öffner ESAIM: Mathematical Modelling and Numerical Analysis 57 (4) 2319 (2023) https://doi.org/10.1051/m2an/2023053
A Stability Analysis of Modified Patankar–Runge–Kutta methods for a nonlinear Production–Destruction System
Thomas Izgin, Stefan Kopecz and Andreas Meister PAMM 22 (1) (2023) https://doi.org/10.1002/pamm.202200083
On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes
Juntao Huang, Thomas Izgin, Stefan Kopecz, Andreas Meister and Chi-Wang Shu ESAIM: Mathematical Modelling and Numerical Analysis 57 (2) 1063 (2023) https://doi.org/10.1051/m2an/2023005
On the dynamics of first and second order GeCo and gBBKS schemes
Thomas Izgin, Stefan Kopecz, Angela Martiradonna and Andreas Meister Applied Numerical Mathematics 193 43 (2023) https://doi.org/10.1016/j.apnum.2023.07.014
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes
Thomas Izgin, Stefan Kopecz and Andreas Meister SIAM Journal on Numerical Analysis 60 (6) 3029 (2022) https://doi.org/10.1137/22M1480318