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

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

Doctoral Thesis: Variational Integrators in Plasma Physics

Diploma Thesis

Diplomarbeit: Heiz- und Stromtriebprofile bei Neutralteilcheninjektion in Tokamakplasmen

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)