Homepage of Michael Kraus
I am a postdoc in the numerical methods group at the
Max Planck Institute for Plasma Physics,
doing research at the intersection of numerical analysis, differential geometry and
mathematical physics.


News
September 11, 2018  Preprint: Relaxation to magnetohydrodynamics equilibria via collision brackets 
August 9, 2018  Publication: Variational Integrators for Inertial Magnetohydrodynamics (Editor's Pick) 
July 20, 2018  Grant: Geometric Methods for Kinetic Equations (GEMKIN) through International Graduate School of Science and Engineering of TUM 
May 4, 2018  Publication: Degenerate Variational Integrators for Magnetic Field Line Flow and Guiding Center Trajectories 
April 23, 2018  Preprint: Energy, momentum, density, and positivitypreserving spatiotemporal discretizations for the nonlinear Landau collision operator with exact Htheorems 
February 15, 2018  Preprint: Metriplectic ParticleinCell Integrators for the Landau Collision Operator 
October 18, 2017  Featured Article: GEMPIC: Geometric ElectroMagnetic ParticleInCell Methods 
October 02, 2017  Publication: Metriplectic Integrators for the Landau Collision Operator 
Upcoming Events
July 2226, 2019, Innsbruck, Austria 
International Conference on Scientific Computation and Differential Equations (SciCADE 2019) 
October 2225, 2018, Garching, Germany 
Numerical Methods for the Kinetic Equations of Plasma Physics (NumKin 2018) 
October 812, 2018, Templin, Germany 
Discretization in Geometry and Dynamics 
September 37, 2015, Halle, Germany 
Numerical Solution of Differential and DifferentialAlgebraic Equations (NUMDIFF15) 
Research Interests
 Structure Preserving Discretisation Methods
 Model Reduction and Lowrank Approximation
 Numerical Methods for Plasma Physics
 Geometric Mechanics and Field Theory
 Symmetries and Conservation Laws
Ongoing Work
 Geometric Discretisation of
 Degenerate Lagrangian and Noncanonical Hamiltonian Systems
 VlasovPoisson, VlasovAmpère and VlasovMaxwell Systems
 Ideal, Reduced and Full Magnetohydrodynamics
 Guiding Centre Dynamics, Drift Kinetics and Gyro Kinetics
 Combination of Variational Integrators with
 BSplines, NURBS, Isogeometric Analysis
 Finite Element Exterior Calculus and Mimetic Spectral Elements
 Discontinuous Galerkin Methods
 Geometric ParticleinCell and SemiLagrangian Methods
 Discrete Dirac Mechanics and HamiltonPontryagin Principles
 Discrete EulerPoincaré and LieDirac Reduction
 Discrete Poisson, Nambu and Metriplectic Brackets
 Discrete Noether Theorems and Conservation Laws
Collaborations
 Joshua Burby (Courant Institute of Mathematical Sciences, New York University, USA)
 Leland Ellison (Lawrence Livermore National Laboratory, California, USA)
 Eero Hirvijoki (Aalto University, Helsinki, Finland)
 Philip Morrison (The University of Texas at Austin, USA)
 Emanuele Tassi (Laboratoire Lagrange, Observatoire de la Côte d’Azur, Nice, France)
 Hiroaki Yoshimura (Waseda University, Tokyo, Japan)
Mentoring
 Tobias Blickhan (10.2018, Master Physics, Technische Universität München)
 Alexander Frank (10.2017, Master Physics, Technische Universität München)
 Marco Orts (04.201709.2018, Master Mathematical Physics, Technische Universität München)
 Momose Hiroki (04.201603.2017, Master Engineering/Applied Mathematics, Waseda University)
 Camilla Bressan (01.2016, Doctor Mathematics, Technische Universität München)
 Wolfgang Styn (10.201409.2015, Master Mathematics, Technische Universität München)
 Jakob Ameres (02.201410.2017, Doctor Mathematics, Technische Universität München)
Grants and Honours
 Project Team Leader at International Graduate School of Science and Engineering of TUM, 2018
 Marie SkłodowskaCurie Individual Fellowship , 2016
 Otto Hahn Medal of the Max Planck Society, 2014
 PhD awarded with highest distinction (summa cum laude), 2013
Impressum
(c) 20112018 Michael Kraus, Marchenbacher Straße 12b, 85406 Gerlhausen, Germany.
All Rights preserved. No responsibility can be taken for links to external websites.