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Dr. Claus Goetz
Since November 2016 I am a Post-Doc in Prof. Dr. A. Iske's working 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).
Teaching
At Uni Hamburg (Summer 2022)
Numerical Methods for PDEs - Finite Differences and Finite Voulmes (Lecture and exercises)
Seminar Approximation
Office hours at Uni Hamburg (Summer 2022)
Mon., 10:00 - 11:00, Room 1509
or by appointment
Previous teaching
Analysis I and II (Exercises and Tutorium)
Approximation (Lecture and Exercises)
Functional Analysis (Exercises)
Numerical Methods for PDEs (Lecture and exercises)
Analysis I - III for Engineers (Exercises, at TUHH)
Ordinary Differential Equations for Engineers (Exercises, at TUHH)
Partial Differential Equations for Engineers (Exercises, at TUHH)
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
Claus R. Goetz, Dinshaw S. Balsara, Michael Dumbser:
A family of HLL-type solvers for the generalized Riemann problem,
Computers and Fluids 169 (2018) pp. 201-212
Claus R. Goetz, Michael Dumbser:
A square entropy stable flux limiter for PNPM schemes,
preprint (2016)
Claus R. Goetz, Michael Dumbser:
A novel solver for the generalized Riemann problem based on a
simplified LeFloch-Raviart expansion and a local space-time
discontinuous Galerkin formulation,
J. Sci. Comput. 69 (2016), pp. 805 - 840
Claus R. Goetz, Armin Iske:
Approximate solutions of generalized Riemann
problems for nonlinear systems of hyperbolic conservation laws,
Math. Comp. 85, No 297 (2016), pp. 35-62
(preprint)
Claus R. Goetz, Armin Iske:
Approximate solutions of generalized Riemann problems:
The Toro-Titarev solver and the LeFloch-Raviart expansion
,
Numerical Methods for Hyperbolic Equations: Theory and Applications,
M. E. Vásques-Cedón and A. Hidalgo and P. García-Navarro and L. Cea, eds.,
Taylor-Francis Group, 2013, pp. 267 - 275
Dissertation:
Approximate Solutions of Generalized Riemann Problems for
Hyperbolic Conservation Laws and Their Application to
High Order Finite Volume Schemes
,
Universität Hamburg, 2013
(full text
at Staats- und Universitätsbibliothek Hamburg)
Conferences, Workshops and Scientific Talks
Past (selected)
Applied and Computational Mathematics Seminar (invited speaker)
(UC Dublin),
November 11, 2019, Dublin (IRL),
International Conference on Spectral and High Order Methods
(ICOSAHOM 2018),
July 9-13, 2018, London (UK),
XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications
(HYP 2018)
June 25-29, 2018, University Park, PN (USA)
European Conference on High Order Nonlinear Numerical Methods for
Evolutionary PDEs: Theory and Applications
(HONOM 2017),
March 27-31, 2017, Stuttgart (Germany),
Talk:
A square entropy stable flux limiter for PNPM schemes
Recent trends and future developments in Computational Science and Engineering, Workshop of the Lothar Collatz Center
(LCS-CSE), March 22 -24, 2017, Plön (Germany),
Talk:
A family of HLL-type solvers for the generalized Riemann problem
Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations
( WONAPDE2016 ),
January 11-15, 2016, Concepción (Chile),
Talk:
An ADER scheme with a new solver for the generalized Riemann problem and local
space-time DG flux integration
European Conference on High Order Nonlinear Numerical Methods for
Evolutionary PDEs: Theory and Applications
(HONOM 2015),
March 16-20, 2015, Trento (Italy),
Talk:
A novel GRP solver for the ADER method based on a simplified
LeFloch-Ravaiart expansion
Modern Perspectives in Applied Mathematics: Theory and Numerics of PDEs, A Conference in Honor of Eitan Tadmor's 60th Birthday
(TN60), April 28 - May 2, 2014, Bethesda, MD (USA)
European Conference on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications
(HONOM 2013), March, 18-22, 2013, Bordeaux (France),
Talk:
Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws.
Numerical Methods for Hyperbolic Equations: Theory and Applications, International Conference to honour Professor E.F. Toro in the month of his 65th birthday
(NMHETATORO65),
July 4-8, Santiago de Compostela (Spain),
Talk:
The Toro-Titarev solver and the LeFloch-Raviart expansion for the generalized Riemann problem.
European Conference on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications
(HONOM 2011), April 11-15, 2011, Trento (Italy),
Talk:
On the Analysis of a Solver for Genaralized Riemann Problems by Asymptotic Expansion.
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