Dr. Claus Goetz
Since November 2016 I am a PostDoc in Prof. Dr. A. Iske's working group. I am part of the collaborative research center TRR 181 "Energy Transfers in Atmosphere and Ocean". Within project M5: "Reducing spurious diapycnal mixing in ocean models" I am working on the development and analysis of highorder advection methods relying on highorder flux evaluation.
Previously, until October 2016, I was a PostDoc at the University of
Trento (Italy).
Teaching
Teaching at Uni Hamburg (summer 2018)
Numerical Approximation of PDEs by Finite Differences and Finite Volumes
(lecture and exercises)
 see
STiNE for resources and exercises
Office hours at Uni Hamburg
Mo., 10:00  11:00, and by appointment
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 HLLtype solvers for the generalized Riemann problem,
to appear in Computers and Fluids
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 LeFlochRaviart expansion and a local spacetime
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. 3562
(preprint)
Claus R. Goetz, Armin Iske:
Approximate solutions of generalized Riemann problems:
The ToroTitarev solver and the LeFlochRaviart expansion
,
Numerical Methods for Hyperbolic Equations: Theory and Applications,
M. E. VásquesCedón and A. Hidalgo and P. GarcíaNavarro and L. Cea, eds.,
TaylorFrancis 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
Upcoming
International Conference on Spectral and High Order Methods
(ICOSAHOM 2018),
July 913, 2018, London (UK),
XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications
(HYP 2018)
June 2529, 2018, University Park, PN (USA)
Past (selected)
European Conference on High Order Nonlinear Numerical Methods for
Evolutionary PDEs: Theory and Applications
(HONOM 2017),
March 2731, 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
(LCSCSE), March 22 24, 2017, Plön (Germany),
Talk:
A family of HLLtype solvers for the generalized Riemann problem
Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations
( WONAPDE2016 ),
January 1115, 2016, Concepción (Chile),
Talk:
An ADER scheme with a new solver for the generalized Riemann problem and local
spacetime DG flux integration
European Conference on High Order Nonlinear Numerical Methods for
Evolutionary PDEs: Theory and Applications
(HONOM 2015),
March 1620, 2015, Trento (Italy),
Talk:
A novel GRP solver for the ADER method based on a simplified
LeFlochRavaiart 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, 1822, 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 48, Santiago de Compostela (Spain),
Talk:
The ToroTitarev solver and the LeFlochRaviart expansion for the generalized Riemann problem.
European Conference on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications
(HONOM 2011), April 1115, 2011, Trento (Italy),
Talk:
On the Analysis of a Solver for Genaralized Riemann Problems by Asymptotic Expansion.
