Fachbereich Mathematik
FachbereichMathematik
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Dr. Claus Goetz
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Department of Mathematics Optimierung und Approximation (OA) E-Mail: Claus.Goetz (at) uni-hamburg.de Tel.: (+49) 40 42838 - 9303 |
Universität Hamburg Bundesstr. 55 Geomatikum - Raum T14 20146 Hamburg |
Seit November 2016 bin ich Post-Doc in der Arbeitsgruppe von Prof. Dr. A. Iske. Im TRR Projekt TRR 181 "Energy Transfers in Atmosphere and Ocean" arbeite ich in Teilprojekt M5: "Reducing spurious diapycnal mixing in ocean models" an der Entwicklung und Analyse von Advektionsmethoden hoher Ordnung.
Ich organisiere das Lothar Collatz Seminar und bin Ko-Organisator des Young Researchers Meeting and CSE Workshop in Plön 2020 .
Zuvor, bis Oktober 2016, war ich Post-Doc an der Universiät Trento (Italien).
Lehre
Lehre an der Uni Hamburg (SoSe 2020)
keine
Frühere Lehre
Approximation (Übungen)
Funktionalanalysis (Übungen)
Numerik von partiellen Differentialgleichungen (Vorlesung und Übungen)
Analysis I - III für Ingenieure (Übungen, TUHH)
Gewöhnliche Differentialgleichungen für Ingenieure (Übungen, TUHH)
Partielle Differentialgleichungen für Ingenieure (Übungen, TUHH)
Sprechstunde an der Uni Hamburg (SoSe 2020)
nach Vereinbarung
Forschung
Theoretische und numerische Behandlung von Evolutionsgleichungen, insbesondere
hyperbolische Erhaltungsgleichungen. Numerische Analysis für Finite Volumen und
unstetige Galerkin Methoden hoher Ordnung, verallgemeinerte Riemann Probleme, WENO Verfahren, Entropiestabilität
Veröffentlichungen
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
(Volltext
bei der Staats- und Universitätsbibliothek Hamburg)
Konferenzen, Workshops and Wissenschaftliche Vorträge
Bisherige (Auswahl)
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.