General information

Background:
Many problems in science involve many scales in time and space. An example is turbulent flow where the behavior of the small vortices in the boundary layer on the wing of an aircraft is important to the lift and the drag of the wing. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed.

A common difficulty with the simulation of these problems and many other problems in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignores the fine scale information then the solution will not be physically meaningful. The influence of the fine scales must be incorporated into the model.

Time and place:
The summer school will consist of two parts: June 4-9 & 11-15, 2007.
The location will be the conference center Bosön in Lidingö, a suburb of Stockholm.

Schedule and Invited Speakers:
The first week, June 4 to June 9, is devoted to computational methods for multiscale problems.

The following researchers have agreed to participate in the first part of the summer school:

Lectures on different multiscale techniques will be given in the morning sessions. Problems related to the topics of the lectures will be solved by the students in the afternoons. This part of the summer school requires some background in applied mathematics and scientific computing. Examples of topics are heterogeneous multiscale methods, homogenization, upscaling, fast multipole methods, computational methods in quantum chemistry and molecular dynamics. Some background in applied mathematics, scientific computing and programming is required for this part.

In the second week between June 11 and June 15, more realistic problems from applications in physics, chemistry, and biology will be solved in a workshop in collaborations between senior researchers and PhD students in computational science and from the applications. The problems are presented by experts in the applications. A group of students will work together on the solutions in collaboration with an expert and an adviser in scientific computing. The week ends with an oral presentation of the results and a written paper. Students with a computational background in physics, chemistry, and biology and students in scientific computing are encouraged to participate in the workshop.

Location:
The lectures and workshops will take place in Olympiahuset at Bosön.

Lunches and coffee breaks:
Breakfast, lunch and dinner are all served in Olympiarestaurangen located in Olympiahuset. The food will be seved as a buffé lunch with three different alternatives (meat, fish and vegetarian). Coffee breaks are planned for every morning and afternoon sessions.

Workshop dinners:
Two special workshop dinners will be organized at restaurant Mästarvillan in the evenings of June 8 and June 14.

Conference fee:
Students from Finland, Norway and Sweden can apply for a limited number of scholarships covering the summer school and the board at Bosön. Then the fee is 800 SEK for one week and 1000 SEK for both weeks. Other students will have to pay the full cost 9000 SEK for accomodation and board for two weeks (1 EUR is about 9 SEK, 1 USD is about 7 SEK).

Weather:
In June we are in the spring or early summer in Sweden. It may be rather chilly, occasionally 5-10 degrees C. It may be possible to swim in the nearby sea.

Organizers:
Timo Eirola,  Department of Mathematics, Helsinki University of Technology
Björn Engquist,  Department of Numerical Analysis and Computer Science, Royal Institute of Technology
Bengt Gustafsson,  Department of Astronomy and Astrophysics, Uppsala University
Sverker Holmgren,  Department of Information Technology, Uppsala University
Henrik Kalisch,  Department of Mathematics, University of Bergen
Per Lötstedt,  Department of Information Technology, Uppsala University
Brynjulf Owren,  Department of Mathematical Sciences, Norwegian University of Science and Technology
Olof Runborg,  Department of Numerical Analysis and Computer Science, Royal Institute of Technology
Anna-Karin Tornberg,  Department of Numerical Analysis and Computer Science, Royal Institute of Technology
Administrative support: Anna Önehag,  Department of Astronomy and Astrophysics, Uppsala University

Computers:
Computing resources will be provided by UPPMAX.

Computer software:
Comsol Multiphysics is provided by Comsol.

Questions:
Send questions concerning the workshop to ssmmss@it.uu.se

Previous workshop in the same spirit:
Link to an earlier workshop in Finland, Computational Problems in Physics: CPiP

Addresses to the organizing departments at KTH and Uppsala University:

Department of Numerical Analysis
School of Computer Science and Communication
KTH
SE-10044 Stockholm, Sweden

Division of Scientific Computing
Department of Information Technology
Uppsala University
P O Box 337
SE-75105 Uppsala, Sweden

Department of Astrophysics and Space Physics
Ångström Laboratory
Uppsala University
P O Box 524
SE-751 21 Uppsala, Sweden