Stefan Vater
AG Geophysical Fluid Dynamics
Institut für Mathematik
Freie Universität Berlin
Arnimallee 6
14195 Berlin
| Raum: | 010 |
| Tel.: | +49 30 838-75201 |
| Fax: | +49 30 838-54977 |
| email: | vater[at]math.fu-berlin.de |
PGP public key: vater.asc
Research Interests
- "Asymptotically adaptive numerical methods"
- Numerical methods for weakly compressible flows
- Well-balanced numerical methods
- Stability analysis of numerical methods
- Singular Perturbation Theory, Asymptotics
- Geophysical Fluid Mechanics
Publications
Peer-Reviewed Articles
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S. Vater, R. Klein & Omar M. Knio: A Scale-selective Multilevel Method for Long-Wave Linear Acoustics, Acta Geophysica, Vol. 59(6), pp. 1076-1108, 2011.
(Authors Version, PDF), [bibtex entry] -
S. Vater & R. Klein: Stability of a Cartesian Grid Projection Method for Zero Froude Number Shallow Water Flows, Numerische Mathematik, Vol. 113(1), pp. 123-161, 2009.
(Authors Version, PDF), [bibtex entry]
Proceedings
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S. Vater, R. Klein & Omar M. Knio: Scale-selective time integration for Long-Wave Linear Acoustics, In: J. Fort, J. Fürst, J. Halama, R. Herbin, F. Hubert (eds.),
Finite Volumes for Complex Applications VI - Problems & Perspectives, Springer, 2011.
(Authors Version, PDF), [bibtex entry] -
E. Audusse, R. Klein, D.D. Nguyen & S. Vater: Preservation of the discrete geostrophic equilibrium in shallow water flows, In: J. Fort, J. Fürst, J. Halama, R. Herbin, F. Hubert (eds.),
Finite Volumes for Complex Applications VI - Problems & Perspectives, Springer, 2011.
(Authors Version, PDF), [bibtex entry]
Technical Reports
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S. Vater & R. Klein: Stability of a Cartesian Grid Projection Method for Zero Froude Number Shallow Water Flows, ZIB-Report 07-13, Konrad-Zuse-Zentrum für Informationstechnik, 2007.
(PDF) -
S. Vater: A New Projection Method for the Zero Froude Number Shallow Water Equations, PIK Report No. 97, Potsdam Institute for Climate Impact Research, 2005.
(PDF), [bibtex entry]
Lecture Notes
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R. Klein, S. Vater, E. Päschke & D. Ruprecht: Multiple scales methods in meteorology, in: H. Steinrück (ed.), Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances, Springer, vol. 523 of CISM International Centre for Mechanical Sciences, pp. 127-196, 2011.
[bibtex entry] -
R. Klein & S. Vater: Mathematische Modellierung in der Klimaforschung, Fachbereich Mathematik und Informatik, Freie Universität Berlin, WS 2003/2004.
(PDF), [bibtex entry]
Thesis (Diplomarbeit)
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S. Vater: A New Projection Method for the Zero Froude Number Shallow Water Equations, Fachbereich Mathematik und Informatik, Freie Universität Berlin, 2004.
(Original, PDF), (Updated version with minor corrections, PDF), [bibtex entry]
Talks & Presentations
- 2011/06/07
- Scale-selective time integration for Long-Wave Linear Acoustics, The International Symposium on Finite Volumes for Complex Applications IV (FVCA6), Prague, Czech Republic. (PDF)
- 2009/09/11
- A Semi-Implicit All Froude Number Godunov-type Method for Shallow Water Flows, 9th Hirschegg Workshop on Conservation Laws, Hirschegg, Austria. (PDF)
- 2008/06/12
- Towards a Semi-Implicit All Froude Number Godunov-type Method for Shallow Water Flows, 12th International Conference on Hyperbolic Problems (Hyp2008), University of Maryland, College Park, USA. (PDF)
- 2007/09/11
- Stability of a Cartesian Grid Projection Method for Incompressible Shallow Water Flows (Talk), 8th Hirschegg Workshop on Conservation Laws, Hirschegg, Austria. (PDF)
- 2006/07/17 - 2006/07/21
- Stability of a Projection Method for the Zero Froude Number Shallow Water Equations (Poster), 11th International Conference on Hyperbolic Problems (Hyp2006), Lyon, France. (PDF)
- 2006/03/28
- A Semi-Implicit Projection Method for the Zero Froude Number Shallow Water Equations (Talk), 77th GAMM Annual Meeting, Berlin, Germany. (PDF)
- 2005/07/31 - 2005/08/06
- A New Projection Method for the Zero Froude Number Shallow Water Equations (Poster), Oberwolfach Workshop: Dynamical System Methods in Fluid Dynamics, organised by Jerrold E. Marsden (Pasadena) and Jürgen Scheurle (München), MFO Oberwolfach, Germany. (PDF)
- 2005/06/07
- Finite Volume, Conservative Projection-Type Methods for Low Speed Compressible Flows (Talk), SIAM Conference on Mathematical and Computational Issues in the Geosciences, Avignon, France. (PDF)
Teaching
Courses:
| WS 2009: | Multigrid techniques for elliptic and hyperbolic problems / Numerik IV (Assistent) |
| SS 2009: | Analysis I (Assistent) |
| Seminar Unstetige Galerkinverfahren (DG Methods) | |
| SS 2008: | Einführung in die Numerik / Numerik I (Assistent) |
| WS 2007/08: | Numerical methods for oscillatory problems, wave propagation and their singular limits / Numerik IV (Übungen) |
| SS 2007: | Basic Course Numerical Methods for PDEs / Numerik III (Übungen) |
| WS 2006/07: | Basic Course Numerical Methods for ODEs and numerical linear algebra / Numerik II (Übungen) |
| Mathematische Methoden in der Klimaforschung (Übungen) | |
| SS 2006: | Einführung in die Numerik / Numerik I (Assistent) |
| Mathematische Methoden in der Klimaforschung (Übungen) | |
| WS 2005/06: | Numerik von Differentialgleichungen / Numerik II (Übungen) |
| Mathematische Methoden in der Klimaforschung (Übungen) | |
| SS 2005: | Einführung in die Numerik / Numerik I (Assistent) |
| Diplomanden- und Doktoranden-Seminar (Organisation) |