On the non-global linear stability and spurious fixed points of MPRK schemes with negative RK parameters
T. Igzin, S. Kopecz, A. Meister, A. Schilling, Numer. Algorithms (2024), PDF
On the Dynamics of First and Second Order GeCo and gBBKS Schemes
T. Igzin, S. Kopecz, A. Martiradonna, A. Meister, APNUM (2023), PDF
On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes
J. Huang, T. Igzin, S. Kopecz, A. Meister, C.-W. Shu, M2AN (2023), PDF
A Stability Analysis of Modified Patankar–Runge–Kutta methods for a nonlinear Production–Destruction System
T. Izgin, S. Kopecz, A. Meister, PAMM (2023), PDF
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes
T. Igzin, S. Kopecz, A. Meister, SINUM (2022), PDF
On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes
T. Igzin, S. Kopecz, A. Meister, M2AN (2022), PDF
On Adaptive Patankar Runge–Kutta methods
S. Kopecz, H. Podhaisky, A. Meister, PAMM (2021), PDF
Recent Developments in the Field of Modified Patankar-Runge-Kutta-methods
T. Izgin, S. Kopecz, A. Meister, PAMM (2021), PDF
Extension of modified Patankar–Runge–Kutta schemes to nonautonomous production–destruction systems based on Oliver’s approach
A. I. Avila, G. J. Gonzalez, S. Kopecz, A. Meister, J. Comput. Appl. Math. (2021), PDF
A comprehensive theory on generalized BBKS schemes
A. I. Avila, S. Kopecz, A. Meister, Appl. Numer. Math. (2020), PDF
A comparison of numerical methods for conservative and positive advection‐diffusion‐production‐destruction systems
S. Kopecz, A. Meister, PAMM (2019), PDF
Simulation of Calcium Waves in a Heart Cell on Modern Multi-Core Parallel Computing Platforms
C. Barajas, S. Kopecz, A. Meister, B. E. Peercy, M. K. Gobbert, PAMM (2019), PDF
On the existence of three-stage third-order modified Patankar-Runge-Kutta schemes
S. Kopecz, A. Meister, Numer. Algorithms (2019), PDF
Parameter Identification for Calcium Release in a Heart Cell with Modified Patankar–Runge–Kutta Schemes
S. Kopecz, A. Meister, B. E. Peercy, M. K. Gobbert, PAMM (2018), PDF
Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems
S. Kopecz, A. Meister, BIT (2018), PDF
On order conditions for modified Patankar-Runge-Kutta schemes
S. Kopecz, A. Meister, Appl. Numer. Math. (2018), PDF
A Memory-Efficient Finite Volume Method for Advection-Diffusion-Reaction Systems with Non-Smooth Sources
J. Schäfer, X. Huang, S. Kopecz, P. Birken, M. K. Gobbert, A. Meister, Num. Meth. PDEs (2014), PDF
Ein gekoppeltes Finite-Elemente/Discontinuous-Galerkin-Verfahren für Strömungs-Transport-Probleme
S. Kopecz, Kassel University Press (2012), PDF
A coupled FEM/DG approach for the simulation of cavitating micro foams
S. Kopecz, A. Meister, O. Wünsch, PAMM 11 (2011), pp. 779-780, PDF
A fast numerical approach for the simulation of highly viscous non-isothermal non-Newtonian fluids
S. Kopecz, M. Krebs, A. Meister, O. Wünsch, ZAMP 61 (2010), pp. 673-684, PDF
Efficient computation of non-isothermal highly viscous incompressible flow
S. Kopecz, A. Meister, A. Ouazzi, S.Turek, O. Wünsch, PAMM 8 (2008), pp. 10845-10846, PDF
