Holger
Heumann
Postal address
Holger Heumann
Laboratoire de Mathématique J.A. Dieudonné
Université de Nice - Sophia Antipolis
Parc Valrose
06108 Nice Cedex 02
France
More information
Email: holger.heumann@unice.fr
Phone: +33 4 92 07 62 03
Teaching (ETH Zurich):
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Spring Term 2011: Numerische Mathematik D-PHYS
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Spring Term 2010: Numerische Mathematik
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Fall Term 2009: Numerical Solution of Differential Equations
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Spring Term 2009: Numerische Mathematik
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Fall Term 2008: Linear Algebra für Informatiker
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Spring Term 2008: Numerik der hyperbolischen Differentialgleichungen
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Fall Term 2007: Numerische Methoden für CSE/RW
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Spring Term 2007: Inverse Problems: Theory and Numerical Treatment; Numerik der hyperbolischen Differentialgleichungen
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Fall Term 2006: Numerical analysis of elliptic PDEs
Publications and Reports:
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Heumann, H. & Hiptmair, R.
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Refined convergence theory for semi-Lagrangian schemes for pure advection
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Seminar for Applied Mathematics Report, ETH Zurich,
2011(2011-60)
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Heumann, H. & Hiptmair, R.
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Convergence of lowest order semi-Lagrangian Methods
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Seminar for Applied Mathematics Report, ETH Zurich,
2011(2011-47)
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Heumann, H., Hiptmair, R., K. Li & Xu, J.
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Semi-Lagrangian Methods for Advection of Differential Forms
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Seminar for Applied Mathematics Report, ETH Zurich,
2011(2011-21)
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- Heumann, H. & Hiptmair, R.
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Eulerian
and Semi-Lagrangian Methods for Convection-Diffusion for
Differential Forms
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Discrete and Continuous Dynamical Systems, 2011, Vol. 29(4),
pp. 1471-1495
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Kurz, S. & Heumann, H.
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Transmission
Conditions in pre-metric Electrodynamics
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Seminar for Applied Mathematics Report, ETH Zurich, 2010(2010-28)
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Henrotte, F., Heumann, H., Lange, E. & Haymeyer, K.
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Upwind
3-D Vector Potential Formulation for Electromagnetic Braking
Simulations
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IEEE Transactions on Magnetics, 2010, Vol. 46(8), pp.
2835-2838
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Heumann, H., Hiptmair, R. & Xu, J.
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A
semi-Lagrangian Method for Convection of Differential Forms
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Seminar for Applied Mathematics Report, ETH Zurich, 2009(2009-09)
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Heumann, H. & Wittum, G.
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The
Tree-Edit-Distance, a Measure for Quantifying Neuronal Morphology
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Neuroinformatics, 2009,
Vol. 7(3), pp. 179 - 190
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Heumann, H. & Hiptmair, R.
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Extrusion
Contraction Upwind Schemes for Convection-Diffusion Problems
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Seminar for Applied Mathematics Report, 2008(2008-30)
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Gründl, C., Heumann, H., Peretti, D. & Wagner, C.
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Copulas: From Theory to Application in Finance.
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Chapter Numerical Methods for Risk Aggregation based on Copulas
Riskbooks, 2006
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Talks:
- Eulerian and Semi-Lagrangian Methods for Advection-Diffusion of Differential Forms ,
- Seminaire EDP, Laboratoire J. A. Dieudonne, May 24, 2011, Universite Nice;
- Constrained preserving schemes and discrete differential forms,
- Hyperbolic Group Seminar, Seminar for Applied Mathematics, November 15, 2010, ETH Zurich;
- Stabilized
Galerkin Methods for General Advection-Diffusion Problems,
- Workshop on Advanced
Computational Electromagnetics, July 5--7, 2010, ETH Zurich;
- Galerkin Methods
for General Advection Problems,
- Non-Standard
Numerical Methods for PDEs, June 29--July 2, 2010, Pavia;
- Discrete Lie
Derivatives: Eulerian approach,
- MFO-workshop:
Computational Electromagnetism and Acoustics, February 14--20, 2010,
Oberwolfach;
- Discrete
Differential Forms: A Framework for Approximating Convection Terms;
- September 16, 2009,
CUHK Hong Kong;
- Semi-Lagrangian
Galerkin Methods for Discrete Differential Forms,
- Pro*Doc Retreat
Disentis 2009, August 16--19, 2009, Disentis;
- Semi-Lagrangian
Galerkin methods for Discrete Differential Forms;
- Compatible and
Innovative Discretizations for Partial Differential Equations, June
17--19, 2009, Oslo;
- The Tree-Edit
Distance: A Measure for Quantifying Neuronal Morphology,
- 3rd Workshop on
Detailed Modeling and Simulation of Signal Processing in Neurons, May
25--26, 2009, University of Frankfurt;
- Discrete Lie
Derivatives and Generalized Convection-Diffusion,
- Colloque Numerique
Suisse / Schweizer Numerik Kolloquium, April 25, 2008, Universite
de Fribourg;
Poster:
- LehrFEM:
- A framework for education in numerics of PDEs
- Approximation of Lie Derivatives:
- Upwinding schemes bases on FEM interpolation and quadrature
- Semi-Lagrangian Galerkin Methods
for Disrete Differential Forms:
- Formulation of semi-Lagrangian methods with application to
magnetic advection-diffusion
Last update
15/12/2010 by Holger Heumann
