Publications
Preprints
Vincent Bosboom, Michael Kraus, Matthias Schlottbom
On the metriplectic formulation of polarized radiative transfer
Abstract, PDF, arXiv:2301.07576
Farrukh Shehzad, Michael Kraus, Zareen Akhtar
Control of Parasitism in Variational Integrators for Degenerate Lagrangian Systems
Abstract, PDF, arXiv:2202.01083
Farrukh Shehzad, Yousaf Habib, Michael Kraus, Zareen Akhtar
Variational Integrators as General Linear Methods
Abstract, PDF
Michael Kraus
GeometricIntegrators.jl: Geometric Numerical Integration in Julia
PDF
Eero Hirvijoki, Joshua W. Burby, Michael Kraus
Energy-, momentum-, density-, and positivity-preserving spatio-temporal discretizations for the nonlinear Landau collision operator with exact H-theorems
Abstract, PDF, arXiv:1804.08546
Eero Hirvijoki, Michael Kraus, Joshua W. Burby
Metriplectic Particle-in-Cell Integrators for the Landau Collision Operator
Abstract, PDF, arXiv:1802.05263
Michael Kraus
Projected Variational Integrators for Degenerate Lagrangian Systems.
Abstract, PDF, arXiv:1708.07356
Michael Kraus, Omar Maj
Variational Integrators for Ideal Magnetohydrodynamics.
Abstract, PDF, arXiv:1707.03227
Papers in Refereed Journals
Tomasz M. Tyranowski, Michael Kraus
Symplectic model reduction for the Vlasov equation. Contributions to Plasma Physics, e202200046, 2022.
Abstract, PDF, arXiv:1910.06026, Journal
Michael Kraus
Metriplectic Integrators for Dissipative Fluids. Geometric Science of Information, Lecture Notes in Computer Science, Pages 292-301, 2021.
Abstract, PDF, Journal
Michael Kraus, Tomasz M. Tyranowski
Variational integrators for stochastic dissipative Hamiltonian systems. IMA Journal of Numerical Analysis, 2020, draa022.
Abstract, PDF, arXiv:1804.08546, Journal
Dimitrios A. Kaltsas, Michael Kraus, George Throumoulopoulos
A discrete Nambu bracket for 2D extended Magnetohydrodynamics. Journal of Physics: Conference Series, Volume 1391, 2019, 012037.
Abstract, PDF, arXiv:1909.07202, Journal
Camilla Bressan, Michael Kraus, Philip J. Morrison, Omar Maj
Relaxation to magnetohydrodynamics equilibria via collision brackets. Journal of Physics: Conference Series, Volume 1125, 2018, 012002.
Abstract, PDF, arXiv:1809.03949, Journal
Michael Kraus
Variational Integrators for Inertial Magnetohydrodynamics. Physics of Plasmas, Volume 25, 082307, 2018. Editor's Pick.
Abstract, PDF arXiv:1802.09676, Journal
C. Leland Ellison, John M. Finn, Joshua W. Burby, Michael Kraus, Hong Qin, William M. Tang
Degenerate Variational Integrators for Magnetic Field Line Flow and Guiding Center Trajectories. Physics of Plasmas, Volume 25, 052502, 2018.
Abstract, PDF, arXiv:1801.07240, Journal
Michael Kraus, Eero Hirvijoki
Metriplectic Integrators for the Landau Collision Operator. Physics of Plasmas, Volume 24, 102311, 2017.
Abstract, PDF, arXiv:1707.01801, Journal
Michael Kraus, Katharina Kormann, Philip J. Morrison, Eric Sonnendrücker
GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods. Journal of Plasmas Physics, Volume 83, 905830401, 2017. Featured Article.
Abstract, PDF, arXiv:1609.03053, Journal
Michael Kraus, Emanuele Tassi, Daniela Grasso
Variational Integrators for Reduced Magnetohydrodynamics. Journal of Computational Physics, Volume 321, Pages 435-458, 2016.
Abstract, PDF, arXiv:1511.09314, Journal
Michael Kraus, Omar Maj
Variational Integrators for Nonvariational Partial Differential Equations. Physica D: Nonlinear Phenomena, Volume 310, Pages 37-71, 2015.
Abstract, PDF, arXiv:1412.2011, Journal
Various Contributions
Michael Kraus
Geometric Integration of Degenerate Lagrangian Systems, Geometric Numerical Integration, Oberwolfach Report No. 17/2021.
Abstract, PDF, Report
Michael Kraus
Strukturerhaltende Numerik in der Plasmaphysik, Jahrbuch der Max-Planck-Gesellschaft, 2016.
Abstract, HTML, MPG Jahrbuch
In Preparation
Michael Kraus
SPARK Methods for Degenerate Lagrangian Systems
Abstract
Michael Kraus
Variational Integrators for Noncanonical Hamiltonian Systems
Abstract
Michael Kraus, Omar Maj, Eric Sonnendrücker
Variational Integrators for the Vlasov-Poisson System
Abstract
Doctoral Thesis
University: |
Technische Universität München, Zentrum Mathematik Lehrstuhl für Numerische Methoden der Plasmaphysik |
Institute: | Max-Planck-Institut für Plasmaphysik |
Academic Supervisors: | Sibylle Günter, Eric Sonnendrücker |
Scientific Supervisors: | Bruce D. Scott, Omar Maj |
Handed in: | 03.04.2013 |
Defended: | 12.07.2013 |
Honours: | summa cum laude (passed with highest distinction) |
Diploma Thesis
Über den Effekt von Fehlern in den Ionisationsquerschnitten auf die berechneten Heiz- und Stromprofile bei Neutralteilcheninjektion, Auswirkungen verschiedener Stromtriebmodelle und Konsequenzen für aktuelle Transportuntersuchungen
IPP Report 5/122: Heiz- und Stromtriebprofile bei Neutralteilcheninjektion in Tokamakplasmen
(same as Diplomarbeit, with some minor changes and corrections)
University: | Technische Universität München, Physik-Department |
Institute: | Max-Planck-Institut für Plasmaphysik |
Academic Supervisor: | Sibylle Günter |
Scientific Supervisor: | Jörg Stober |
In Collaboration with: | Doug McCune, Princeton Plasma Physics Laboratory |
Handed in: | 12.01.2010 |