On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes T Izgin, S Kopecz, A Meister ESAIM: Mathematical Modelling and Numerical Analysis 56 (3), 1053-1080, 2022 | 20 | 2022 |
Numerical investigation of ultrashort laser-ablative synthesis of metal nanoparticles in liquids using the atomistic-continuum model DS Ivanov, T Izgin, AN Maiorov, VP Veiko, B Rethfeld, YI Dombrovska, ... Molecules 25 (1), 67, 2019 | 16 | 2019 |
On the stability of unconditionally positive and linear invariants preserving time integration schemes T Izgin, S Kopecz, A Meister SIAM Journal on Numerical Analysis 60 (6), 3029-3051, 2022 | 15 | 2022 |
On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes J Huang, T Izgin, S Kopecz, A Meister, CW Shu ESAIM: Mathematical Modelling and Numerical Analysis 57 (2), 1063-1086, 2023 | 9 | 2023 |
A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods T Izgin, P Öffner ESAIM: Mathematical Modelling and Numerical Analysis 57 (4), 2319-2348, 2023 | 7 | 2023 |
A stability analysis of modified Patankar–Runge–Kutta methods for a nonlinear production–destruction system T Izgin, S Kopecz, A Meister PAMM 22 (1), e202200083, 2023 | 7 | 2023 |
Recent Developments in the Field of Modified Patankar‐Runge‐Kutta‐methods T Izgin, S Kopecz, A Meister PAMM 21 (1), e202100027, 2021 | 6 | 2021 |
A necessary condition for non oscillatory and positivity preserving time-integration schemes T Izgin, P Öffner, D Torlo arXiv preprint arXiv:2211.08905, 2022 | 5 | 2022 |
On the stability of modified Patankar methods T Izgin, P Öffner arXiv preprint arXiv:2206.07371, 2022 | 5 | 2022 |
On the dynamics of first and second order GeCo and gBBKS schemes T Izgin, S Kopecz, A Martiradonna, A Meister Applied Numerical Mathematics 193, 43-66, 2023 | 3 | 2023 |
Order conditions for Runge--Kutta-like methods with solution-dependent coefficients T Izgin, DI Ketcheson, A Meister arXiv preprint arXiv:2305.14297, 2023 | 3 | 2023 |
The involutive GVW algorithm and the computation of Pommaret bases T Izgin Master’s thesis, University of Kassel, Germany, 2020 | 2 | 2020 |
On the non-global linear stability and spurious fixed points of MPRK schemes with negative RK parameters T Izgin, S Kopecz, A Meister, A Schilling Numerical Algorithms, 1-22, 2024 | 1 | 2024 |
A Unifying Theory for Runge--Kutta-like Time Integrators: Convergence and Stability T Izgin arXiv preprint arXiv:2402.13788, 2024 | | 2024 |
Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar--Runge--Kutta Methods T Izgin, H Ranocha arXiv preprint arXiv:2312.01796, 2023 | | 2023 |
Lyapunov Stability of First and Second Order GeCo and gBBKS Schemes. T Izgin, S Kopecz, A Martiradonna, A Meister arXiv preprint arXiv:2301.10658, 2023 | | 2023 |
An Involutive GVW Algorithm and the Computation of Pommaret Bases A Hashemi, T Izgin, D Robertz, WM Seiler Mathematics in Computer Science 15 (3), 419-452, 2021 | | 2021 |
An Involutive GVW Algorithm and the Computation of Pommaret Bases D Robertz, A Hashemi, T Izgin, WM Seiler Springer Verlag, 2021 | | 2021 |
Lothar-Collatz-Seminar T Izgin | | |