An Involutive GVW Algorithm and the Computation of Pommaret Bases. - Amir Hashemi; Thomas Izgin; Daniel Robertz; Werner M. Seiler (Math. Comput. Sci., 2021)

On Lyapunov Stability of Positive and Conservative Time Integrators and Application to Second Order Modified Patankar-Runge-Kutta Schemes. - Thomas Izgin; Stefan Kopecz; Andreas Meister 003 (CoRR, 2022)

On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes. - Juntao Huang; Thomas Izgin; Stefan Kopecz; Andreas Meister 003; Chi-Wang Shu (CoRR, 2022)

On the Stability of Modified Patankar Methods. - Thomas Izgin; Philipp Öffner (CoRR, 2022)

A Stability Analysis of Modified Patankar-Runge-Kutta methods for a nonlinear Production-Destruction System. - Thomas Izgin; Stefan Kopecz; Andreas Meister 003 (CoRR, 2022)

A necessary condition for non oscillatory and positivity preserving time-integration schemes. - Thomas Izgin; Philipp Öffner; Davide Torlo (CoRR, 2022)

On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes. - Thomas Izgin; Stefan Kopecz; Andreas Meister 003 (SIAM J. Numer. Anal., 2022)

Lyapunov Stability of First and Second Order GeCo and gBBKS Schemes. - Thomas Izgin; Stefan Kopecz; Angela Martiradonna; Andreas Meister 003 (CoRR, 2023)

Order conditions for Runge-Kutta-like methods with solution-dependent coefficients. - Thomas Izgin; David I. Ketcheson; Andreas Meister 003 (CoRR, 2023)

Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Runge-Kutta Methods. - Thomas Izgin; Hendrik Ranocha (CoRR, 2023)

A Unifying Theory for Runge-Kutta-like Time Integrators: Convergence and Stability. - Thomas Izgin (CoRR, 2024)

A Boot-Strapping Technique to Design Dense Output Formulae for Modified Patankar-Runge-Kutta Methods. - Thomas Izgin (CoRR, 2024)

On the non-global linear stability and spurious fixed points of MPRK schemes with negative RK parameters. - Thomas Izgin; Stefan Kopecz; Andreas Meister 003; Amandine Schilling (Numer. Algorithms, 2024)

The Lax-Wendroff theorem for Patankar-type methods applied to hyperbolic conservation laws. - Janina Bender; Thomas Izgin; Philipp Öffner; Davide Torlo (CoRR, 2025)