Dr. Claus Goetz

Postdoctoral Researcher
Address
Office
Office hours
on appointment by email
Contact
Personal Information
Since January 2024 I am part part of the team organizing and implementing the exercises and exams for Mathematics for Students of Engineering, as part of our teaching export to the Hamburg University of Technology (TUHH). In particular, I am responsible for student tutors.
Since November 2016 I am part of Prof. Dr. A. Iske's research group.
I am an associate member of the Research Training Group RTG 2583: “Modeling, Simulation and Optimization with Fluid Dynamic Applications”. I organize the Lothar Collatz Seminar.
From November 2016 to December 2020 I was part of the collaborative research center TRR 181 "Energy Transfers in Atmosphere and Ocean". Previously, until October 2016, I was a Post-Doc at the University of Trento (Italy).
Research
- Theoretical and numerical treatment of evolutionary PDEs, in particular hyperbolic conservation laws
- Numerical analysis of high order finite volume and discontinuous Galerkin methods
- generalized Riemann problems
- WENO schemes
- entropy stability
Publications
Conferences, Workshops and Scientific Talks
Selection of previous events
UC Dublin: Applied and Computational Mathematics Seminar (invited speaker), 11 November 2019, Dublin (IRL)
ICOSAHOM 2018: International Conference on Spectral and High Order Methods, 9–13 July 2018, London (UK)
HYP 2018: XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications, 25–29 June 2018, University Park, PN (USA)
HONOM 2017: European Conference on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications
- 27–31 March 2017, Stuttgart (Germany)
- Talk: “A square entropy stable flux limiter for PNPM schemes”
LCS-CSE: Recent trends and future developments in Computational Science and Engineering
- Workshop of the Lothar Collatz Center
- 22–24 March 2017, Plön (Germany)
- Talk: “A family of HLL-type solvers for the generalized Riemann problem”
WONAPDE2016: Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations
- 11–15 January 2016, Concepción (Chile)
- Talk: “An ADER scheme with a new solver for the generalized Riemann problem and local space-time DG flux integration”
- 16–20 March 2015, Trento (Italy)
- Talk: “A novel GRP solver for the ADER method based on a simplified LeFloch-Ravaiart expansion”
TN60: Modern Perspectives in Applied Mathematics: Theory and Numerics of PDEs – A Conference in Honor of Eitan Tadmor's 60th Birthday, 28 April–2 May 2014, Bethesda, MD (USA)
- 18–22 March 2013, Bordeaux (France)
- Talk: “Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws.”
- 4–8 July 2011, Santiago de Compostela (Spain)
- Talk: “The Toro-Titarev solver and the LeFloch-Raviart expansion for the generalized Riemann problem.”
- 11–15 April 2011, Trento (Italy)
- Talk: “On the Analysis of a Solver for Genaralized Riemann Problems by Asymptotic Expansion.”
Teaching
Teaching export to the TUHH
Previous teaching
At Universität Hamburg:
- Numerical Approximation of PDEs by Finite Differences and Finite Volumes (lecture and exercises)
- Advanced Numerical Methods for Conservation Laws (lecture and exercises)
- Approximation (lecture, exercises and seminar)
- Analysis I - II (exercises and tutorial)
- Higher Analysis (exercises and tutorial)
- Functional Analysis (exercises)
At Hamburg University of Technology:
- Analysis I – III for Students of Engineering (exercises)
- Ordinary Differential Equations for Students of Engineering (exercises, tutorial)
- Partial Differential Equations for Students of Engineering (exercises)
- Complex Functions for Students of Engineering (exercises)