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Dr. Claus Goetz

Claus Goetz Department of Mathematics
Center for Optimization and Approximation (OA)
Bundesstraße 55 (Geomatikum)
20146 Hamburg
Room T07
Tel.: +49 40 42838-6240
Fax: +49 40 42838-5117
E-Mail: Claus.Goetz (at) math.uni-hamburg.de

Since September 2013 I am a Post-Doc in Prof. Dr. A. Iske's working group. My research areas are analysis and numerics of hyperbolic conservation laws, especially generalized Riemann problems and ADER Finite Volume Methods.


Office hours at the Geomatikum (T07) during summer semester 2014:
by appointment

Office hours at the TUHH (SBS 95-E, 3.078) during summer semester 2014:
Wednesday, 14:00 - 15:00, in the weeks of exercise classes: 09.04, 23.04., 07.05., 21.05., 04.06., 25.06., 09.07.


Teaching at TUHH (Exercise classes):

Summer 2014: Analysis II
Summer 2012: none
Winter 2011/2012: Analysis III
Summer 2011: none
Winter 2010/2011: Analysis I
Summer 2010: Differential Equations II
Winter 2009/2010: Analysis III, Differential Equations I

Teaching at Uni Hamburg:

Winter 2013/2014: Exercise class for Higher Analysis
Summer 2013: none
Winter 2012/2013: Exercise class and tutorial for Analysis I


Workshops, Meetings and Conferences:

  • 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)
  • Recent trends and future developments in Computational Science and Engineering, Workshop of the Lothar Collatz Center (LCS-CSE), March 26 -28, 2014, Plön (Germany), Talk: A new solver for the generalized Riemann problem based on the Rankine-Hugoniot conditions
  • 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.
  • 21. Rhein-Rhur-Workshop on Applied Analysis (RRW2011), February 4-5, 2011, Königswinter (Germany). Talk: ADER methods and generalized Riemann problems for hyperbolic conservation laws.
  • Dolomite Research Week on Approximation 2010 (DRWA10), September 6-9, 2010, Alba di Canazei, Trento (Italy), Talk: An introduction to ADER methods.


Publications

  • Claus R. Goetz and 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
  • Claus R. Goetz and A. Iske: Approximate Solutions of Generalized Riemann problems for Nonlinear Systems of Hyperbolic Conservation Laws, Hamburger Beiträge zur Angewandten Mathematik 2013-02 (preprint)

Thesis

  • Dissertation: Approximate Solutions of Generalized Riemann Problems for Hyperbolic Conservation Laws and Their Application to High Order Finite Volume Schemes , Universität Hamburg, 2013 (get the full text at Staats- und Universitätsbibliothek Hamburg)


 
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