Work group

current PhD students

Sandra Warnecke               numerics for multi-species kinetic equations

Farah Kanbar                      thesis submitted:  Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations

Claudius Birke                    ideal MHD, low Mach & well-balanced schemes, astrophysical applications - joint project with Fritz Röpke (Heidelberg)

Kathrin Hellmuth                  inverse problems for kinetic equations in the context of chemotaxis

Eva Horlebein                     convergence of approximate solutions to the compressible multi-dimensional Euler equations

Lena Baumann                     a numerical reduced order approach applied to inverse probelms for kinetic equations

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

current Master-thesis students

Jonas Jackwirth               Korteweg de Vries equation     

Julian Meusel                   gage gravity duality: Einstein equations, their hyperbolic first order reduction

Sonja Leicht                     elasticity equations and its numerics

Claudia Knorr                  numerical parameter study with the astrophysics code by Fritz Röpke

Kai Ulrich                         a low rank algorithm for a multi-species kinetic model

Yu-Chen Cheng               central schemes and well-balancing of Euler with gravity

Kaja Jurak                        convergence of the inverse problem for chemotaxis with birth and death rates in the Bayesian setting

Vanessa Halat                 modelling traffic flow

Christine Barko               modeling flow in a Tokamak

current Bachelor-thesis students

Michael Remmel        Existenz von Lösungen von Erhaltingsgleichungen mit Hilfe der Front Tracking Methode

Johannes Rieger        stochastic modeling in math finance

Moritz Marthy                mathemeatical finance

Marvin Raab                Levy processes in math finance

Eva Toussaint                machine learning

Robin Novak                numerics of the Euler equations

some former Master-thesis students

Jonas Dornbusch         Verkehrsflussmodelle und deren Numerik

Teresa Full                       The Semi-Lagrange Numerical Method for the Vlasov-Poisson Equation and Other Kinetic Equations

Mattis Vogelsang            modeling plasma via multi-species kinitic equtions       

Lena Baumann                On Landau damping for the Vlasov-Poisson-BGK equation coupled with a BGK relaxation term

Winnie Hartwig                 invariant domain preserving schemes for hyperbolic conservation laws

Lukas Berberich             uncertainty quantification for elasticity equations

Kardelen Koc                 stationarity preserving schemes for hyperbolic equations

Lukas Baumgärtner             (jointly with Stephan Schmidt)         total generalized variation on triangular meshes on surfaces

Kathrin Hellmuth  (Computing the Black Scholes equation with uncertain volatility using the stochastic Galerkin method and a Bi-Fidelity approach see pdf of thesis )

Tobias Herzing      (On hypocoercivity for a kinetic BGK equation with uncertainty)

Si-qi Wang            (stochastic modeling of financial mathematics)

Alexander Hefter        (relaxation approximation for the Euler equations)

Stefan Pröstler        (uncertainty quantification for the KDV equation)

Lukas Thanhäuser   (a kinetic relaxation scheme for magnetohydrodynamics)

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

some former Diplom-thesis students

Astrid Thiemer  (finite element simulation for non-Newtonian flow)

Oliver Mitesser  (Micro- and macroscopic models of traffic flow)

Detlev Pabst     (Solving the Euler equations using a relaxation approach, jointly w. Frederiqe Coquel)

Stephan Grosskinsky  (A rigorous derivation of Smoluchowski’s equation in the moderate limit)

Alexander Linke   (traffic flow at junctions)

Ruediger Back

Stephan Griebel

Hoffmann-Guben  (generic non-existence of smooth flow around an airfoil with an angle of inclination)

Nadine Even   (hydrodynamic limits)

Carsten Eberlein

Christine Dietrich

some former Bachelor-thesis students

Veronika Mayerhofer    shallow water equations, numerical simulations, Tsunami modeling

Janina Kern                deriving the Euler equations

Jonas Schlecht            An asymptotic preserving scheme for the BGK model of the Boltzmann model

Lukas Krines                 Numerik stochastischer Differentialgleichungen

Fridolin Popov            On the motion of cells a mathematical modelling approach

Marius Volpert             Numerik der Euler- und MHD Gleichungen

Anna Lentz                Finite-Volumen-Verfahren mit Well-Balancing zur Lösung der Eulergleichungen

Marc Scheller                  Zulassungarbeit: Kontinuierliche Altersstrukturmodelle

Moritz Beck               (machine learning in cooperation with the company "Wölfel")

Maximilian Schemel    (Modellierung von Erdöl Reservoiren mit der Buckley-Leverett Gleichung)

Markus Bott               (interest derivatives in mathematical finance)

Hanna Weinmann          (numerical methods for conservation laws)    

Sonja Altenhöfer    (Navier-Stokes equations and its discretization)

Jonas Fehn          (stochastische Integrationstheorie)

Rosina Ziegler     (Modelliering amerikanischer Optionen)  

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

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)

former PhD students

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

Simon Markfelder (2020)   "Convex integration applied to multi-dimensional compressible Euler equations"  download here

Jonas Berberich (2020)  "Fluids in Gravitational Fields – Well-Balanced Modifications for Astrophysical Finite-Volume Codes"  download here

Andrea Thomann (2020) (jointly w. Gabriella Puppo) “Numerical methods for all-speed flows for the Euler equns. incl. well-balancing of source termsdownload here

Marc Herrmann (2021)  (jointly with Stephan Schmidt) "The total varisation on surfaces and of surfaces"

Humboldt fellows

Yunguang Lu

Gui-Qiang Chen

Ujjwal Koley (2012 - 2014)

Yan Xu

Feng Xie

some former long term visitors and pos-docs

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 Chandrashekar (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, June 1 - 30, 2019

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 of my current collaborators

Christophe Chalons, Versaille University, France

Marlies Pirner, Vienna University

Cory Hauck, Oak Ridge National Laboratory, USA

Min Tang Shanghai Jiao Tong University, China

Eduard Feireisl, Prague

Praveen Chandrashekar TIFR Bangalore

Yunguang Lu, Hangzhou Normal University

Nils-Henrik Risebro, Oslo

Fritz Röpke, Heidelberg

Volker Springel, MPI Garching

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

Gui-Qiang Chen, Oxford

former post-docs

Stephan Schmidt

Marlies Pirner

Sibu Mabuzza

Ujjwal Koley

Nadine Even



Marlies Pirner               modeling and theory of kinetic equations