Publications of M. Kraus

Jeyakumar, S.; Kraus, M.; Hole, M. J.; Pfefferle, D.: A structure-preserving particle discretisation for the Lenard–Bernstein collision operator. Journal of Plasma Physics 90, 905900301 (2024)

Bosboom, V.; Kraus, M.; Schlottbom, M.: A metriplectic formulation of polarized radiative transfer. Journal of Physics A: Mathematical and General 39, 345206 (2023)

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)

Kaltsas, D. A.; Kraus, M.; Throumoulopoulos, G. N.: A discrete Nambu bracket for 2D extended Magnetohydrodynamics. Journal of Physics: Conference Series 1391, 012037 (2020)

Bressan, C.; Kraus, M.; Morrison, P. J.; Maj, O.: Relaxation to magnetohydrodynamics equilibria via collision brackets. Journal of Physics: Conference Series 1125, 012002 (2018)

Ellison, C. L.; Finn, J. M.; Burby, J. W.; Kraus, M.; Qin, H.; Tang, W. M.: Degenerate variational integrators for magnetic field line flow and guiding center trajectories. Physics of Plasmas 25, 052502 (2018)

Kraus, M.: Variational integrators for inertial magnetohydrodynamics. Physics of Plasmas 25, 082307 (2018)

Kraus, M.; Hirvijoki, E.: Metriplectic integrators for the Landau collision operator. Physics of Plasmas 24, 102311 (2017)

Kraus, M.; Kormann, K.; Morrison, P. J.; Sonnendrücker, E.: GEMPIC: geometric electromagnetic particle-in-cell methods. Journal of Plasma Physics 83 (4), 905830401 (2017)

Kraus, M.; Tassi, E.; Grasso, D.: Variational integrators for reduced magnetohydrodynamics. Journal of Computational Physics 321, pp. 435 - 458 (2016)

Kraus, M.; Maj, O.: Variational integrators for nonvariational partial differential equations. Physica D: Nonlinear Phenomena 310, pp. 37 - 71 (2015)

Kraus, M.: Geometric Integration of Degenerate Lagrangian Systems. In: Geometric Numerical Integration, pp. 25 - 28. Oberwolfach Workshop "Geometric Numerical Integration", Oberwolfach, March 28, 2021 - April 03, 2021. (2021)

Kraus, M.: Metriplectic Integrators for Dissipative Fluids. In: Geometric Science of Information, pp. 292 - 301 (Eds. Nielsen, F.; Barbaresco, F.). 5th Conference on Geometric Science of Information (GSI 2021) , Paris, July 21, 2021 - July 23, 2021. Springer, Cham (2021)

Brantner, B.; Kraus, M.: Generalizing Adam to Manifolds For Efficiently Training Transformers. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2023), Lisbon (submitted)

Bressan, C.; Kraus, M.; Morrison, P. J.; Maj, O.: Relaxation to linear Beltrami fields via collision-like metric brackets and their structure-preserving discretisation. The Sherwood Fusion Theory Conference, Virtual (submitted)

Bressan, C.; Morrison, P. J.; Kraus, M.; Maj, O.: Relaxation to magnetohydrodynamics equilibria via collision-like metric brackets: toward three-dimensional equilibria. 63rd Annual Meeting of the APS Division of Plasma Physics, Pittsburgh, PA (submitted)

Kraus, M.: Geometric Integration of Degenerate Lagrangian Systems. Oberwolfach Workshop "Geometric Numerical Integration", Oberwolfach (2021)

Kraus, M.: Metriplectic Integrators for Dissipative Fluids. 5th Conference on Geometric Science of Information (GSI 2021) , Paris (2021)

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