Post-Docs
Multiphase viscoelastic flow
project supported by the SFB Multiscale Simulation Methods for Soft Matter Systems, financed by the DFG
cooperation with P. Strasser, B. Dünweg (MPI Polymer Research)
Numerical analysis of discontinous Galerkin and residual disctibution methods for hyperbolic conservation laws
Project supported by the Gutenberg Research College
Active Flux Methods for Hyperbolic Systems using the Method of Bicharacteristics
Project supported by DFG within SPP 2410 Hyperbolic Balance Laws: Complexity, Scales and Randomness (cooperation with C. Helzel, Uni Düsseldorf)
Dr. Ferdinand Thein
Project supported by DFG: „Ein "sharp interface" Grenzwert mittels verschwindender Volumenfraktion für Zweiphasenströmungen im Nichtgleichgewicht modelliert durch hyperbolische Bilanzgleichungen“
Random Compressible Euler equations: Numerics and its Analysis
Project suppoert by DFG within SPP 2410 Hyperbolic Balance Laws: Complexity, Scales and Randomness (cooperation with M. Herty, RWTH Aachen)
PhD Thesis
Analysis of multiphase compressible flows
project realized in cooperation with SFB Multiscale Simulation Methods for Soft Matter Systems
Statistical convergence, machine learning and uncertainty quantification
project supported by the Mainz Institute of Multiscale Modelling (M3odel)
cooperation with P. Spichtinger and M. Wand
Master / Bachelor Thesis
Robert Sauerborn
Fehlerabschätzung bei der Approximation von Lösungen der barotropen Euler-Gleichungen mit dem Lax-Friedrichs-Verfahren, 2024
Pierre Falk
IMEX Runge-Kutta Verfahren für steife Differentialgleichungen
Bachelorarbeit, 2023
Guests
Prof. RNDr. Eduard Feireisl, DrSc. (Academy of Sciences Praha, Czech Rep.)
visiting Professor of TRR 146 and Institute of Mathematics, March, June 2019, October 2020, October 2021, February 2022, March, Oct. 2023,
Prof. Agnieszka Swierczewska-Gwiazda (University of Warsaw, Poland)
visiting Professor of TRR 146, November 2015, February 2016
Prof. Piotr Gwiazda (Polish Academy of Sciences)
visiting DAAD Professor, October-November 2015
Prof. Alina Chertock (North Carolina State University, USA)
visiting Professor of the Institute of Mathematics, May 12.-17., June 25.-July 17., 2014, Nov. 2021, 22, May 2023, Nov. 2023, Mercator Professor within SPP 2410
Prof. Jiequan Li (Beijing Normal University, China)
Humboldt Guestprofessor, Alexander von Humboldt Foundation, June 04.-September 03, 2014
Prof. Alex Kurganov (Tulane University, USA)
Mercator Guestprofessor at the University of Mainz, DFG (May-July, 2011), May 2023, Nov. 2023,
Prof. S.V. Raghurama Rao (Indian Institute of Science, Bangalore, India)
Theory and Numerics of Multidimensional Hyperbolic Conservation Laws and Balance Laws Based on Bicharacteristics
Project supported by the DAAD (2006-2008)
Former PhD Thesis /Post-doc fellows
Dr. Stephan Gerster
Development of CWENO schemes for hyperbolic stochastic Galerkin formulations
Project supported by DAAD in collaboration with Matteo Semplice (Insubria, Italy)
Dr. Yuhuan Yuan (Nanjiing University)
Convergence analysis of the Generalized Riemann Problem finite volume methods for hyperbolic conservation laws
Project supported by the China Scholarship Council (CSC) and DAAD
Dr. Andrea Thomann (INRIA, Strasbourg)
Multiscale methods for all Mach number multiphase flows, cooperation with G. Puppo (Rome)
Project supported by the Gutenberg Research College
Spinodal decomposition of polymer-solvent systems
project supported by the SFB Multiscale Simulation Methods for Soft Matter Systems, financed by the DFG
cooperation with B. Dünweg (MPI Polymer Research)
Adaptive hybrid multiscale methods for soft matter fluids
Project within SFB Multiscale Simulation Methods for Soft Matter Systems, supported by DFG, cooperation with P. Virnau (physics)
Adaptive large time step finite volume methods for geophysical flows
Project within the Center for Computation Sciences in Mainz, cooperation with V. Wirth (meteorology)
Adaptive semi-implicit FVEG methods for multidimensional systems of hyperbolic balance laws
Project supported by the DFG , cooperation with S. Noelle, RWTH Aachen
Dr. Bettina Wiebe (Rocher, Bassel)
Pattern formation in cloud dynamics
project supported by the SFB Waves to Weather, financed by the DFG
cooperation with P. Spichtinger (Meteorology)
Dr. Ankit Ruhi
Adaptive hybrid multiscale methods for complex fluids, Fokker-Planck equations (2018-2019)
supported by the DFG, SFB Multiscale Simulation Methods for Soft Matter Systems
Dr. Niklas Kolbe (RWTH Aachen, AG Michael Herty)
Numerical modelling of tumor growth by means of taxis-diffusion-reaction equations
Project supported by the Max-Planck Graduate College, Mainz (2013-2017)
Thesis: A tumor invasion model for heterogeneous cancer cell populations: mathematical analysis and numerical methods (2017)
cooperation with N. Hellmann (Biophysics)
Prof. Dr. habil Anna Hundertmark-Zauskova (University, Landau)
Mathematical modelling and numerical simulation of some non-Newtonian fluids in time- dependent domains
Project supported by the DFG
Adaptive semi-implicit FVEG methods for multidimensional systems of hyperbolic balance laws
Project supported by the DFG , cooperation with S. Noelle, RWTH Aachen
Dr. Hana Mizerova (University Bratislava, Slovakia)
Numerical analysis of complex flows (2012-2017)
Thesis: Analysis and numerical solution of the Peterlin viscoelastic, (2015)
supported by the DFG Graduate School Mathematical Fluid Dynamics, cooperation with TU Darmstadt
Dr. Nikos Sfakianakis (University Heildelberg)
Humboldt-fellow (2012-2014)
Hyperbolic conservation laws and adaptive mesh reconstruction, Mathematical Cell Biology
Numerical Study of Chemotaxis and Chemokinekinesis (2014-2016)
Project within the Center for Computation Sciences in Mainz, cooperation with N.Hellmann (biophysics)
Dr. Nehzat Emamy (University Stuttgart)
Adaptive hybrid multiscale methods for soft matter fluids (2016-2017), cooperation with L. Yelash
Dr. Georgij Bispen (ZF TRW Automotive Holdings Corp., Koblenz)
Large time step FVEG methods for shallow water flows
Thesis: IMEX Finite Volume Methods for the Shallow Water Equations, (2015)
Project supported by the DFG, cooperation with S. Noelle, RWTH Aachen
Prof. Dr. Bangwei She (Capital Normal University, Beijijng, China)
Thesis: Numerical solution of some viscoelastic flows, (2015), Uni-Mainz
Project supported by the DFG Graduate School Mathematical Fluid Dynamics, cooperation with TU Darmstadt
Thesis: Well-Balanced Genuinely Multi-Dimensional Schemes for Nonconservative Hyperbolic Systems (2014), TU Hamburg-Harburg
RNDr. Gabriela Rusnakova, PhD.
Thesis: Numerical Modelling of Fluid-Structure Interactions with Application in Hemodynamics (2012), Uni-Mainz
Supported by the EU within the Marie Curie Action (DEASE) , cooperation with University of P.J. Safarik, Kosice, Slovakia
Dr. Moriz Scharpenberg (Airbus, Germany)
Thesis: Uncertainity Quantification for Nonlinear Differential Equations with Application to Aircraft Mechanics (2012), TU Hamburg-Harburg
Stochastic Methods for Sensitivity Estimation in Flight Loads Analysis
(in cooperation with AIRBUS and DLR)
Dr. Florian Prill (Offenbach, German Weather Service)
Thesis: Diskontinuierliche Galerkin-Methode und schnelle iterative Löser zur Simulation kompressibler Strömungen, (2010) TU Hamburg-Harburg
Efficient Solution Strategies for a Flow Solver Based on Discontinuous Galerkin Methods
(in cooperation with DLR, Braunschweig)
Former Master/Bachelor Thesis (Diploma Thesis)
G. Arutnyunyan Numerical modelling of complex flows, Masterarbeit (2022)
S. T. Nguyen Finite Volumen Approximation von hyperbolischen Erhaltungssätzen, Bachelorarbeit (2022)
Lukas-Malte Bammert
Numerische Simulation von Zelldynamik mittels stochastischen Differentialgleichungen, Bachelorarbeit (2019)
Uncertainty quantification of complex non-Newtonian fluids using machine learning techniques, Masterarbeit (2021)
Michelle Porth
Stability analysis of a hybrid continuum-kinetic model of complex fluids, Masterarbeit (2021)
Hoimar Bauer
Variationsrechnung, Bachelorarbeit (2021)
Simon Schneider
Konvergenzanalyse von Finiten Volumen Verfahren für Euler Gleichungen mitttels dissipativen maßwertigen Lösungen, Masterarbeit (2020)
Andreas Schömer
Konvergenzanalyse von Finiten Volumen-Finiten Elementen Verfahren für Navier-Stokes Gleichungen mitttels dissipativen maßwertigen Lösungen, Masterarbeit (2020)
Janina Bender
Dreidimensionale Simulation von viskoelastischen Fluiden mit Free FEM, Bachelorarbeit (2020)
Koras Osman
Numerische Untersuchung von Splitting-Verfahren in Molekulardynamik, Masterarbeit (2021)
Paul Klimek
Spinodale Entmischungsprozesse in Mehrphasenströmung: Dreidimensionale Simulationen, Masterarbeit (2020)
Kevin Richter
Numerische Simulation von Fluid-Struktur Wechselwirkung, Masterarbeit, Betreuung gemeinsam mit Frau Professor Hundertmark (2020)
Kamin Lars
IMEX Runge-Kutta Verfahren für steife Differentialgleichungen, Bachelorarbeit (2019)
Mara Czich
Numerische Simulation von Verkehrsflussprozessen, Masterarbeit (2019)
Julian Frech
Error analysis of the stochastic Galerkin method for incompressible Navier-Stokes equations, Masterarbeit (2019), Kompaktseminarvortrag (2018)
Hannah Vogel
Stochastische Galerkin-Methode bei Fluiddynamik Modellen, Masterarbeit (2018)
Andreas Andzejczak
Spektralverfahren für Cahn-Hilliard-Gleichung, Masterarbeit (2017)
Rebecca Theuerkauf
Hybrides mehrskaliges Verfahren für komplexe Fluide, Matserarbeit (2017)
Bettina Wiebe
Numerical Simulations of Multiscale Cancer Invasion Models, Masterarbeit (2016), see also:
N. Kolbe, M. Lukacova-Medvidova, N. Sfakianakis, B. Wiebe: Numerical simulation of a contractivity based multiscale cancer invasion model, accepted to Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization and Applications, A. Gerisch et al. (Eds), Lecture Notes in Comp. Science Eng., Springer (2016)
Sergej Schelle
Hybrid-Simulation der Molekulardynamik und Computational Fluiddynamik, Masterarbeit (2016)
Christian Bock
Numerische Berechnung von Flachwassergleichungen, Masterarbeit (2016)
Simon Lemcke
Mathematische Modellierung von inkompressiblen Fluiden mit Hilfe von partiellen Differentialgleichungen, Bachelorarbeit (2016), JGU
Benjamin Kassel
Unterrichtsprojekt - Das Newton-Verfahren, Masterarbeit (2016), JGU; Betreuung gemeinsam mit Frau Professor Weiss
Peter Martens
Numerische Methoden in der Strömungslehre, Bachelorarbeit (2015), JGU
Daniel Schisch
Numerische Quadratur in der gymnasialen Oberstufe, Bachelorarbeit (2014), JGU
Stefanie Eschbach
Numerische Untersuchung von mehrdimensionalen kompressiblen Strömungen mit Finiten Volumen Verfahren, Bachelorarbeit (2014), JGU
Eva-Johanna Horchler
Numerische Untersuchung von "slope limiters" für hyperbolische Erhaltungsgleichungen, Bachelorrabeit (2014), JGU
Benjamin Georg
Numerische Untersuchung von „slope limiters“ für nicht-reguläre Gitter, Bachelorarbeit (2014), JGU
Alexander Bloch
Numerische Simulation von Musterbildung mit biologischen Anwendungen, Masterarbeit (2014), JGU
Alina Mentrop
Mathematische Modellierung und numerische Verfahren für die Navier-Stokes Gleichungen, Bachelorarbeit (2014), JGU
Jens Tobias Gaida
Mathematische Modellierung von nichtlineaeren Flachwasserwellen, Bachelorarbeit (2013), JGU
Sarah-Monna Michalke
Bewegte Gitter für entropie-konservative Verfahren, Masterarbeit (2013), JGU
Rebeca Hammel
Numerische Verfahren für Differentialgleichungen mit steifen Termen, Masterarbeit (2013), JGU
Valon Korcaj
Numerische Simulation von Darwin'schen Evolutionsgleichungen, Masterarbeit (2013), JGU
Niklas Kolbe
Mathematical Modelling and Numerical Simulations of Cancer Invasion, Masterarbeit (2013), JGU
Paul Strasser
Stabilitätsanalyse von numerischen Verfahren für Fluid-Struktur-Wechselwirkung, Bachelorarbeit (2011), JGU
Numerische Simulation eines Systems zweier Fokker-Planck-Gleichungen aus der Ökonomie, Masterarbeit (2013), JGU
Andy Vogt
Numerische Simulation chemotaktischer Prozesse mit nichtkonstanten Koeffizienten, Masterarbeit (2013), JGU
Alexander Rückosker
Numerische Lösung von kompressibler Strömungen mit Diskontinuierlichen-Galerkin Verfahren, Bachelorarbeit (2012), JGU
Simon Kissel
Berechnung der mehrdimensionalen Wellenpropagation, Bachelorarbeit (2010), JGU
On the Application of Gaussian Quadrature for the Finite Volume Evolution Galerkin Schemes, TUHH, (2009)
Moriz Scharpenberg
Numerical Simulation of 3D Gravitation Waves (in cooperation with K. Lamb, University of Waterloo), TUHH, (2006)
- Constrained Transport Method for the Finite Volume Evolution Galerkin Schemes with Application in Astrophysics (2005), TUHH
- On the Comparison of the Finite Volume and Discontiunous Galerkin Methods (2006), TUHH
Jan Cerny
Mathematical Modelling of Some Non-Newtonian Fluids (2001) TU-Brno, Czech Rep.
Libor Grigerek
Numerical Simulation of Non-Newtonian Compressible Flow (2000) TU-Brno, Czech Rep.
Ales Gabriel
Numerical Modelling of Non-Newtonian Flow (1994) Charles University Prague, Czech Rep. (Co-advisor with J. Necas)