PhD students

Sandra Warnecke               (numerics for multi-species kinetic equations)

Jayesh Badwaik                   (moving mesh method in two space dimensions for the Euler equations - uncertainty quantification for conservation laws)

Andrea Thomann (jointly with Gabriella Puppo in Como, Italy)                  (relaxation methods for low Mach number flows)

Farah Kanbar                      (numerical methods for kinetic equations)

Simon Markfelder                 (convex integration applied to 2-d compressible Euler equations)

Jonas Berberich               (numerical discretization of MHD with gravity - finding a scheme that works for low and high Mach numbers)

Marc Herrmann            (jointly with Stephan Schmidt)                (shape optimization)

Markus Zenk                        (discontinuous Galerkin methods for ideal magnetohydrodynamics)

Stephan Schmidt                  (optimization of PDEs, adaptivity for conservation laws)

Wasilij Barsukow, currently at Universität Zürich (asymptotic preserving schemes for low Mach numbers - genuinely multi-dimensional schemes for the Euler equations)


Master students

visiting professor (longterm)

Lukas Thanhäuser   (a kinetic relaxation scheme for magnetohydrodynamics)

Stefan Pröstler        (uncertainty quantification for the KDV equation)

Alexander Hefter        (relaxation approximation for the Euler equations)

Si-qi Wang            (stochastic modeling of interest rate derivatives)

Lukas Berberich           

August 2016: Jens Klotzky / Jayesh Badwaik  / Jonas Berberich / Marlies Pirner /  Christian klingenberg / Gero Schnücke / andrea Thomann / markus Zenk / Pablo gallego  / Wasilij Barsukow

June 2017: Nils-Henrik Risebro / Nicole scheller / Martin müller / Jonas Berberich / Wasilij Barsukow / Marc Herrmann / Stefan Pröstler / Lukas Thanhäuser / Christian Klingenberg / simon Markfelder / Markus zenk / sandra Warnecke

Bachelor students


former PhD students (incl. jointly advised ones)

Italo Vecchi (1989), Entropy Compactification for Nonlinear Hyperbolic Problems

Xiaoming Gu (1997), Exact Controllability for Several Models of Multidimensional Structures

Roland Völker (2002), Modeling protostellar jets

Jan Pfannes (2006), Thermonuclear explosions of rapidly rotating white dwarfs

Andreas Maier (2007), Large eddy simulations in astrophysics

Knut Waagan (2007), An approximate Riemann solver for MHD

Markus Hupp (2008), Turbulence driven star formation in disk galaxies

Nadine Even (2009),  Hydrodynamic limits and conservation laws   download here

Alejandro Bolanos Rosales (2016) (co-advisor w. Fritz Röpke) Low Mach Number Simulation of Convective Boundary Mixing in Classical Novae

Gero Schnücke  (2016) Arbitrary Lagrangian-Eulerian Discontinuous Galerkin methods for nonlinear time-dependent first order pdes

    download here

Pablo Gallego  (2017)      On Runge-Kutta discontinuous Galerkin methods for compressible Euler equations and the ideal MHD model

Markus Zenk  (2017)      On Numerical Methods for Astrophysical Applications  download here

Wasilij Barsukow (2018)   Low Mach number finite volume methods for the acoustic and Euler equations download here

Marlies Pirner (2018)   Kinetic modeling of gas mixtures”  download here

Jens Klotzky (2018)   Well-posedness of a fluid-particle interaction model”  download here

Humboldt fellows (former)

Some of my current collaborators

Marlies Pirner, Vienna University

Praveen Chandrashekarappa, TIFR Bangalore

Gui-Qiang Chen, Oxford

Yunguang Lu, Hangzhou Normal University

Nils-Henrik Risebro, Oslo

Fritz Röpke, Heidelberg

Volker Springel, MPI Garching

Eduard Feireisl, Prague

Min Tang, Shanghai Jiao Tong University, China

Yunguang Lu

Gui-Qiang Chen

Ujjwal Koley (2012 - 2014)

Yan Xu

Feng Xie

some former bachelor students

Philipp Haid              (On stochastic integration)

Winnie Hartwig         (existence of solutions to 1-d systems of conservation laws)

Maximilian Schell   (Die Gleichungen der Fluid Mechanik)

Philip Haid              (stochastic analysis)

Anja Katzenberger   (Kurzkov’s theory)

Matthis Vogelsang  (shape from shading: computing the three-dimensional shape of a surface from one image of that surface)

Jonas Jackwirth      (Finanzmathematik: Einführung in Zinsderivate )

Maximilian Lorenz  (Finanzmathematik)

Niklas Götz            (Positivitätserhaltendene nodale discontinuous Galerkin Methoden hoher Konvergenzordnung für die ein-dimensionalen Eulergleichungen)

Niklas Hess             Lineare partielle Differentialgleichungen, hyperbolisch, parabolisch und elliptisch

Jonathan Hohm      Herleitung der partiellen Differentialgleichungen der Strömungsmechanik

Toni Greif               Bewertung von Finanzderivaten mittels der Monte-Carlo-Methode im Vergleich mit weiteren numerischen Verfahren

Stefan Pröstler              Einführung in die Fluidbewegung mit Ziel der Prandtlschen Grenzschichtgleichungen

Kai Günder                         Finanzmathematik: die stochastischen Grundlagen der Black Scholes Gleichung

Fabian Bleitner                          lineare hyperbolische Systeme nach Peter Lax

Jan Scherz                       an alternative proof of Glimm’s theorm using front tracking

Lukas Thanhäuser            constructing weak solutions to hyperbolic conservation laws

Fabian Bleitner                linear hyperbolic systems following Peter Lax

Martin Müller                    finite volume method for conservation laws and CLAWPACK

Sandra Warnecke   (Boltzmann equation and Chapman Enskog expansion)

Theresa Christ        (admissibility conditions in conservation laws using the book by Defermos)

Sasha-André Reus (Höhere Ordnung Finite-Volumen-Verfahren und ihre Anwendung in einem astrophysikalischen Code)

Peter Hohl             (Finite Volumen Verfahren für Erhaltungsgleichungen auf einem sich bewegenden Gitter)

Alexander Hefter     (implementing a well-balanced relaxation method for Euler with gravity into Clawpack)

Benedikt Hurle    (conservation laws with source termes)

Simon Markfelder   (Kruzkov well posedness for scalar conservation laws)

Marie Meltzer        (traffic modeling)

Marlies Pirner   (Boltzmann equations)

Jens Klotzky      (Riemann problem)

Frank Pörner    (Tsunami modeling)

Andreas Preiß   (On the Hydrodynamic Limit of a Symmetric Simple Exclusion Process)

Philipp Schmitt   (jointly with Haye Hinrichsen) (microscopic and macroscopic modeling of conservation laws with discontinuous flux)

Daniela Sittig     (the Feymann-Kac formula and the heat equation)

Nadia Jammal   (On modeling Tsunami waves)

Jeanette Hitzinger (mathematical finance)

some former long term visitors and postdocs

Nils-Henrik Risebro (Oslo) (April 23 - July 28, 2017)

Eduard Feireisl (Prague) (Oct. 1 - 31, 2016, Oct. 1 - 31, 2018)

Jiang Xu  (Nanjing, China) (July 9 - 31)

Gabriella Puppo  (Como, Italy)  (Oct 12, 2015  - Feb. 6, 2016, Jan. 22 - Feb. 4, 2017, May 7 - 13, 2017)

Sibusiso Mabuza (former postdoc)

Nadine Even   (postdoc until Dec. 2015)

Praveen Chandrashekarappa (Tata Institute of Fundamantal Research Centre of Applicable Math):  April 28 - June 25, 2013, June 15 - July 22, 2014, April 3 - May 2, 2015, June 1 - July 31, 2016, July 5 - 16, 2017, April 8 - May 6, 2018

Feng Xie (Shanghai Jiao Tong Univ.): June 1 - Aug. 30, 2015

Rony Touma  (Lebanese American University, Beirut): Oct. 2013 - Nov. 2013, Jan. 2014, July 2015

Yan Xu (University of Science and Technology of China, Hefei, China): Feb., March 2014, June - Aug. 2014

Yinhua Xia (University of Science and Technology of China, Hefei, China): Sept. 2013 - August 24, 2014

Sudarshan Kumar Kenettinkara (TIFR CAM in Bangalore): Jan. 1 - Feb 28, 2014

Ujjwal Koley: May 14, 2011 - April 16, 2013. He now is at TIFR CAM in Bangalore.

some former master students

Sandra Warnecke        (on inverse problem for objects that move during the data acquisition process)

Jonathan Hohm      (a multi-dim. scheme by Phil Roe for the 2-d compressible Euler equations)

Yannik Gleichmann        (using Kutznetsov’s lemma for convergence rates of approximations to conservation laws)

Martin Müller       (numerics for a multi-species kinetic model by Marlies Pirner)

Nicole Scheller        (uncertainty quantification for scalar conservation laws)

Daniela Sittig            (mathematical finance, in cooperation with the Deutsche Bank, modeling interest rates in a negative interest rate environment)

Jonas Berberich (co-advisor w. Fritz Röpke) (low Mach number simulations coupled with well-balanced methods)

Simon Markfelder   (non-uniqueness of the 2-d compressible Euler equations)

Marie Meltzer          Multispecies traffic models based on the Lighthill- Whitham and the Aw-Rascle model, see PDF of the thesis

Dominik Zoar                        (numerics for conservation laws, relaxation approach)

Michael Huber          Numerische Algorithmen zur Bewertung von Finanzderivaten

Ellen Komber            (numerical simulations of traffic flow on roads with junctions)

Johannes Löbbert   (implementation of discontionuous Galerkin with adaptive mesh refinement for compressible Euler in the DUNE framework)

Marlies Pirner         (A consistent kinetic model for a two-component mixture with an application to plasma)

Frank Pörner          (On the involution constraint of a DG implementation for ideal MHD)

Carolin Apfel            (als Praktikantin der Deutschen Bank): Stochastische Modelle zur Bewertung von Zinsderivaten

Lukas Baumgärtner   (finite volume methods for conservation laws, CLAW PACK)

Michael Remmel     (proving existence for conservation laws using front-tracking)

Marc Scheller      (Zulassungarbeit: Systeme von gewöhnlichen Differentialgleichungen mit Anwendungen auf Epedemie Modelle in der Biologie)

Jonas Fehn         

Sonja Altenhöfer    (Navier-Stokes equations and its discretization)

Hanna Weinmann

Markus Bott     (interest derivatives in mathematical finance)

Florian Opel     (theory of conservation laws)

Markus Zenk 

Some of my former collaborators

Francois Bouchut, Université Paris-Est - Marne-la-Vallée

Pierre-Emmanuel Jabin, College Park, Maryland

Kenneth Karlsen, Oslo

Ujjwal Koley, TIFR Bangalore

Siddhartha Mishra, ETH

Jens Niemeyer, Göttingen

Wolfram Schmidt, Sternwarte Hamburg