Numerical approximations of hyperbolic systems
with source terms and applications
Aachen, September 23 - 27, 2013
Purpose
Hyperbolic systems are involved in the description of many physical problems.
In order to obtain relevant predictions, the models often include different
type of source terms, stiff or not. These terms turn out to be crucial since
they modify in some sense the nature of the system under consideration.
During years, these terms were discretized by means of basic methods that were
not able to provide suitable approximations in all regimes. In addition,
the robustness and the stability of the considered methods were often lost.
During the last ten years, the numerical approximations of source terms have
evolved from basic discrete forms to very sophisticated ones. As a consequence,
the state-of-the-art approximations of source terms ensure accurate simulations
and exhibit essential robustness and stability properties. The aim of the present
conference is to propose an overview of the recent evolutions in the approximation
of hyperbolic systems with source terms and to discuss the new challenges
concerning this important topic.
Core Topics and Invited Speakers
- Topic 1. Geophysics
- Raimund Bürger (Concepcíon)
- Manuel Castro (Malaga)
- Anne Mangeney (IPG Paris)
- Edie Miglio (Milano)
- Topic 2. Biology
- Maria Lukacova (Mainz)
- Magali Ribot (Nice)
- Christian Schmeiser (Vienna)
- Andrea Tosin (Rome)
- Topic 3. Asymptotic preserving schemes
- Sebastiano Boscarino (Catania)
- Giacomo Dimarco (Toulouse)
- Cory Hauck (Oak Ridge NL)
- Topic 4. Networks and multiphase flow
- Christophe Chalons (Versailles Saint-Quentin)
- Martin Gugat (Erlangen)
- Michael Herty (Aachen)
- Siegfried Müller (Aachen)
