Jan Giesselmann

Prof. Dr. Jan Giesselmann

Dolivostraße 15
64293 Darmstadt

Office: S4|10 108

+49 6151 16-23167


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  • Hyperbolic Conservation Laws
  • Compressible fluid flows
  • Discontinuous Galerkin Methods
  • A-priori and a-posteriori error estimators

Teaching

Winter Term 2019/20

  • Lecture: Introuction to Numerical Mathematics
  • Mathematical Consulting: Introduction to Mechanical Engineering

Summer Term 2019

Possible Topics for Theses

This is a list of possible topics for BSc or MSc theses. If you are interested in writing your thesis on one of these topics, please let me know. If you are interested in other topics in the context of discontinuous Galerkin schemes or hyperbolic conservation laws or (numerical schemes for) pdes on manifolds or compressible multiphase flows, feel free to contact me.

BSc

  • Statistical solutions for ill-posed odes
  • Machine learning of pressure functions in gas mixtures
  • Discontinuous Galerkin schemes for the advection equation
  • Discontinuous Galerkin schemes for the wave equation

MSc

  • Data assimilation for scalar hyperbolic conservation laws
  • Data assimilation for shallow water equations
  • Machine learning of kinetic relations
  • Stability of hyperbolic systems of conservation laws in one space dimension
  • Statistische Lösungen hyperbolischer Erhaltungsgleichungen

Teaching in previous terms

Publications

CV

Current Third Party Funded Projects

Past third-party funded projects