Prof. Dr. Jan Giesselmann
Contact
giesselmann@mathematik.tu-...
work +49 6151 16-23167
Work
S4|10 108
Dolivostraße 15
64293
Darmstadt
News
Consultation hour
Thursday 10.45pm – 11.45pm.
If this time is inconvenient for you please send me a mail so that we can arrange another date – or just drop by at my office.
Publications
- Hyperbolic conservation laws
- Compressible fluid flows
- Discontinuous Galerkin Methods
- A-priori and a-posteriori error estimates
- Model-adaptation
- Uncertainty quantification
- Observer-based data assimilation
Summer term 2024
- Efficient Methods for Data Assimilation
- Discontinuous Galerkin Methods
- MSc Seminar Numerics
- Interdisziplinary project
These are examples of thesis topics that I would be happy to supervise. If you are interested in any of these topics please send me an email. The topic will be made precise once we have discussed your scientific background and interests. If you are interested in different topic in numerical mathematics that is also possible,
BSc
- Structure preserving DG-in-time scheme for gradient flows
- Structure preserving DG-in-time schemes for Hamiltonian systems
- Model adaptation in port-Hamiltonian systems
MSc
- A posteriori error estimates for mixed finite elements for wave equations
- A posteriori error estimates for finite volume schemes for the heat equation
- A priori error estimates for a finite volume scheme for the Keller-Segel system
- A posteriori error estimates for moment approximations of kinetic equations
- A posteriori estimates for convection diffusion equations
- A high order energy consistent scheme for a phase field fracture model
- Operator learning for hyperbolic conservation laws
Other areas of my expertise where I would be happy to supervise theses are
- Discontinuous Galerkin schemes
- hyperbolic conservation laws
- a-priori and a-posteriori error estimators
- compressible multiphase flows
please contact me if you are interested in one of those.
Observer-based data assimilation for time-dependent flows in gas networks (Subproject C05 in SFB-TRR154 funded by German Research Foundation – DFG). This is a joint project with Martin Gugat, FAU Erlangen-Nuremberg.
A posteriori error control for statistical solutions of barotropic Navier-Stokes equations. Project in DFG SPP-2410 jointly with S. Krumscheid (KIT).
Dissipative solutions for the Navier-Stokes-Korteweg system and their numerical treatment. Project in DFG SPP-2410 jointly with Ph. Öffner (JGU Mainz).
| Education | |
| 2001 | Abitur, Widukind Gymnasium Enger |
| 2006 | Diplom in Mathematics, University of Bielefeld |
| 2011 | PhD in Mathematics, University of Stuttgart |
| 2015 | Habilitation in Mathematics, University of Stuttgart |
| Academic Career | |
| 2007 – 2018 | Research and Teaching Assistant, University of Stuttgart |
| 2011/12 | Postdoc, University of Crete |
| 2012/13 | Research Assistant, Weierstrass Institute, Berlin |
| 2013/14 | Associate Professor (not tenured) “Numerical Mathematics”, University of Stuttgart |
| 2015 – 17 | Associate Professor (not tenured) “Optimisation and Inverse Problems”, University of Stuttgart |
| 2017/18 |
Associate Professor (not tenured) “Numerical Simulations”, RWTH Aachen University |
| since October 2018 | Professor “Mathematics – Numerics”, Technical University of Darmstadt |
|
Winter Term 2023/24
Summer Term 2023
Winter Term 2022/23
Summer Term 2022
Winter Term 2021/22
Summer Term 2021
Winter Term 2020/21
Sommersemester 2020
Winter Term 2019/20
Sommersemester 2018 |
| Uncertainty Quantification (RWTH Aachen) |
| Mathematische Grundlagen für Computational Engineering Science II (RWTH Aachen) |
| Wintersemester 2017/18 |
| Mathematische Grundlagen für Computational Engineering Science I (RWTH Aachen) |
| Mathematische Grundlagen für Computational Engineering Science V (RWTH Aachen) |
| Sommersemester 2017 |
| Numerical Methods for Differential Equations (Uni Stuttgart) |
| Masterseminar Mehrskalenmodellierung (Uni Stuttgart) |
| Wintersemester 2016/17 |
| Einführung in die Numerik Partieller Differentialgleichungen (Uni Stuttgart) |
| Sommersemester 2016 |
| Numerical Methods for Differential Equations (Uni Stuttgart) |
| Wintersemester 2015/16 |
| Einführung in die Numerik Partieller Differentialgleichungen (Uni Stuttgart) |
| Sommersemester 2015 |
| Numerical Methods for Differential Equations (Uni Stuttgart) |
| Masterseminar Diskontinuitäten im Kontinuum (Uni Stuttgart) |
| Proseminar Iterative Lösungsverfahren (Uni Stuttgart) |
| Wintersemester 2014/15 |
| Lineare Strukturen (Uni Stuttgart) |
| Sommersemester 2014 |
| Numerische Methoden des Strömungsmechanik (Uni Stuttgart) |
| Wintersemester 2013/14 |
| Einführung in die Numerik Partieller Differentialgleichungen (Uni Stuttgart) |
| Proseminar Mathematische Modellierung (Uni Stuttgart) |
| Sommersemester 2013 |
| Numerische Lineare Algebra (Uni Stuttgart) |
| Sommersemester 2012 |
| Numerical Methods for Differential Equations (Uni Stuttgart) |
I am co-leader of working group 5 “numerical methods and applications” of COST Action CA18232 – Mathematical models for interacting dynamics on networks
Some conference videos:
- ICERM Workshop Advances in PDEs: Theory, Computation and Application to CFD (Videos unten auf der Seite)
- CIRM-SMF Week on Inhomogeneous Flows
Dynamical, spatially heterogeneous model adaptation in compressible flows (funded by German research foundation (DFG))
Numerical methods for multi-phase flows with strongly varying Mach numbers Elite-program for Postdocs of Baden-Wuerttemberg Stiftung
Mathematical modeling of compressible fluids – from wild solutions to data integration – Research Seed Capital of University of Stuttgart and Ministry of Science, Research and Art Baden-Württemberg