Prof. Dr. Jan Giesselmann
Contact
giesselmann@mathematik.tu-...
work +49 6151 16-23167
Work
S4|10 108
Dolivostraße 15
64293
Darmstadt
News
We are organizing a workshop at CIRM from June 21-23 on “Modelling, analysis and numerical methods of complex dynamics” together with Petra Csomos (Budapest), Bérénice Grec (Paris) and Milana Pavic-Colic (Novi-Sad) and funded by COST Action Mat-Dyn-Net
Consultation hour
Wednesday 1.30pm – 2.30pm.
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
Research Interests
- Hyperbolic Conservation Laws
- Compressible fluid flows
- Discontinuous Galerkin Methods
- A-priori and a-posteriori error estimates
- Model-adaptation
- Uncertainty Quantification
- Observer-based Data Assimilation
Teaching
Summer Term 2023
- BSc Seminar Numerics
- Interdisciplinary 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 a mail. 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,
I give links to the literature for each topic. The literature is supposed to convey an impression of what the topic is about. It is not necessary to understand this literature in detail before working on any of the topics.
BSc
- Interpretation of Residual Neural networks as discretised Dynamical Systems. a paper of Weinan E)
- A posteriori error estimates for ordinary differential equations. chapter 1-3 of this paper by Ch. Makridakis
- Error estimators and adaptivity for numerical solutions to ODEs with singularity chapter 1 and 2 (opens in new tab) in this paper
- Numerical approximation of ODEs with random initial data and/or random right hand side siehe folgendes Buch
- Strong Stability Preserving numerical schemes, see this paper by Sigal Gottlieb, Chi-Wang Shu und Eitan Tadmor (opens in new tab)
- Function Approximation Using Neural Networkss Daubechies et al (opens in new tab) Depres, Ancellin
MSc
- A posteriori error estimates for convection-diffusion equations
- Energy consistent schemes for shallow water equations
- An energy consistent scheme for a phase field model in fracture mechanics (joint supervision with Prof. Ralf Mueller, civil engineering)
- Energy consistent schemes for gradient flows, in particular cross diffusion
- Convergence of moment approximations of kinetic equations (opens in new tab)
Other areas of my expertise where I would be happy to supervise theses are
- Discontinuous Galerkin schemes
- hyperbolic conservation laws
- a-posteriori error estimators
- PDEs on manifolds
- compressible multiphase flows
please contact me if you are interested in one of those.
|
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) |
| 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”, Technische Universität Darmstadt |
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
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