Summer school on Multiscale Modeling and Applications

Summer school on Multiscale Modeling and Applications

From August 7 to 12, 2006, Cargese (Corsica), France

Sponsored by the Université Franco-Allemande (UFA)

Purposes of the Summer school on Multiscale Modeling and Applications

MOTIVATION - Multiscale modelling is a promising methodology for developing efficient numerical simulations of problems in which different scales are present. Such problems are difficult to solve with traditional numerical methods as they require the sampling of the fastest (or smallest) scale. This results in a huge amount of data which need to be stored and processed by the computer and the resulting computational cost is tremendous. Multiscale methods allow to bypass these limitations and have potential applications in all scientific and technological areas. The school will focus on a selection of them in the areas of fluids, plasmas, semiconductors, phase separations, biology, and so on. Multiscale methodology consists in either applying asymptotic methods so as to result in model reduction and the averaging of the fastest scales, or doing this reduction at the numerical level itself by designing asymptotically stable numerical methods. A new promising methodology consists in going back and forth between the micro and the macro scale, in order to limit the computations of the micro scale only where it is needed. The goal of the school is to review the state-of-the-art in these methodologies.

SCIENTIFIC GOALS - This thematic summer school aims at bringing together experts from multiscale modeling and PhD students from Applied Mathematics or Physics with a three-fold objective:

- First, the experts deliver compact lecture courses on state-of-the-art multiscale modeling arising in various applications, ranging from plasma physics and phase separation to biology and supply chains. The chosen speakers are not only the best researchers of their field but also excellent lecturers.

- Second, the PhD students have the opportunity to present their research results in short talks, in the presence of experts from their research fields. An individual feedback will help the PhD students to improve the quality of the presentation.

- Third, based on the short presentations of the PhD students, the world-wide known experts are available for the PhD students for scientific discussions and advices. Such one-to-one discussions are of paramount importance in Mathematics.

Programme

Participants are expected to arrive in Cargese on Monday August 7 and depart on Saturday August 12.
The courses will begin on Tuesday August 8 and the afternoon of Thursday August 10 is free.

The schedule is the following (click on the to download an archive of the talk).

	Tuesday Aug. 8	Wednesday Aug. 9	Thursday Aug. 10	Friday Aug. 11
8:45-9:00	Welcome & Introduction
9:00-9:50	Bjorn Engquist	Carsten Carstensen	Mary Pugh	Bjorn Engquist
9:50-10:40	Carsten Carstensen	Bjorn Engquist	Dietmar Kröner	Mary Pugh
10:40-11:10	Coffee break	Coffee break	Coffee break	Coffee break
11:10-11:40	F. Deluzet	Poster	S. Lacharme	Pierre-Emmanuel Jabin
11:40-12:10	M.-T. Wolfram	Poster	A. Sangam	Pierre-Emmanuel Jabin
12:10-14:00	Lunch	Lunch	Lunch	Lunch
14:00-14:50	David Lannes	Dietmar Kröner	Excursion	Michel Rascle
14:50-15:40	Marie-Hélène Vignal	Dieter Armbruster		David Lannes
15:40-16:00	Coffee break	Coffee break		Coffee break
16:00-16:30	Y. Ueda	M. Kraft	Excursion	S. Moutari
	Cocktail (19:00)		Diner (20:00)

Download an archive of all avialable talks

MIP 2006, http://mip.ups-tlse.fr/
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