Publications of T. Tyranowski

Tyranowski, T.: Data-driven structure-preserving model reduction for stochastic Hamiltonian systems. Journal of Computational Dynamics 11 (2), pp. 220 - 255 (2024)

Tyranowski, T. M.; Kraus, M.: Symplectic model reduction methods for the Vlasov equation. Contributions to Plasma Physics 63 (5-6), e202200046 (2023)

Kraus, M.; Tyranowski, T.: Variational integrators for stochastic dissipative Hamiltonian systems. IMA Journal of Numerical Analysis 41 (2), pp. 1318 - 1367 (2021)

Tyranowski, T.: Stochastic variational principles for the collisional Vlasov-Maxwell and Vlasov-Poisson equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477 (2233), 20210167 (2021)

Tyranowski, T. M.; Desbrun, M.: R-Adaptive Multisymplectic and Variational Integrators. Mathematics 7 (7), 642 (2019)

Tyranowski, T. M.; Desbrun, M.: Variational Partitioned Runge-Kutta Methods for Lagrangians Linear in Velocities. Mathematics 7 (9), 861 (2019)

Holm, D. D.; Tyranowski, T. M.: New variational and multisymplectic formulations of the Euler-Poincaré equation on the Virasoro-Bott group using the inverse map. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474 (2213), 20180052 (2018)

Holm, D. D.; Tyranowski, T. M.: Stochastic discrete Hamiltonian variational integrators. BIT Numerical Mathematics 58, pp. 1009 - 1048 (2018)

Raiessi Toussi, S. A.; Maj, O.; Tyranowski, T.: A Stochastic Variational Principle for a Two-Fluid Model Arising in Fusion Plasma Physics. DPG-Frühjahrstagung der Sektion Materie und Kosmos (SMuK), Göttingen (submitted)

Tyranowski, T.: Stochastic variational integrators for collisional Vlasov equations. Numerical Methods for the Kinetic Equations of Plasma Physics (NumKin 2020) (Virtual), Garching (2021)

Kraus, M.; Tyranowski, T.: Variational integrators for stochastic dissipative Hamiltonian systems. International Congress on Industrial and Applied Mathematics (ICIAM 2019), Valencia (2020)

Raiessi Toussi, S. A.; Maj, O.; Tyranowski, T.: Quasi-Neutral Multi-Fluid Models: A Variational Principle and Numerical Methods. 86. Jahrestagung der DPG und DPG-Frühjahrstagung der Sektion Materie und Kosmos (SMuK), Dresden (submitted)

Tyranowski, T.: Applied Introduction to Differential Geometry. Lecture: Seminar (SS 2020), Technische Universität München

Tyranowski, T.: Applied Introduction to Differential Geometry. Lecture: Seminar (SS 2019), Technische Universität München