ICOSAHOM-01

This page is based upon a text by Ernest H. Mund submitted to SIAM News.

About 160 applied mathematicians, physicists and engineers attended the fifth ICOSAHOM conference which was held at Uppsala University (Sweden) June 11-15, 2001. The conference was organized by Bertil Gustafsson from the Department of Scientific Computing, and his collaborators. ICOSAHOM (for International Conference on Spectral and High-Order Methods) was founded in 1989 and has met regularly since then, every three years. The previous meetings were held in

• Como, Italy 1989
• Montpellier, France 1992
• Houston, USA 1995
• Tel Aviv, Israel 1998

The purpose of ICOSAHOM is to bring the latest developments in high-order methods for the solution of partial differential equations (hp finite elements, spectral elements, collocation methods, wavelets, high-order compact finite difference methods, finite volume methods, etc...) and their applications to physics, biophysics and engineering problems (structural mechanics, fluid flows, etc...) with invited and contributed lectures. At Uppsala there were 9 invited lectures and about 100 contributed papers.

The invited lectures gave a good overview of all the topics covered during the conference:

• Endre Suli, Oxford University - hp-adaptive Finite Element Methods for Hyperbolic Problems
• Chi-Wang Shu, Brown University - A Local Discontinuous Galerkin Methods for KdV-like Equations
• Karsten Urban, RWTH-Aachen - High Order Discretizations in Adaptive Wavelet Methods
• Daniele Funaro, Università di Modena - Superconsistent Discretizations
• Paul Fischer, Argonne National Laboratory - Spectral Element Methods for Transitional Flows
• Michelle Schatzman, Université Claude Bernard - Lyon 1 - Toward Non-Commutative Numerical Analysis : High Order Integration in Time
• Börje Andersson, The Aeronautical Research Institute of Sweden - A Splitting Method for Analysis of Growing Cracks in Domains with Unknown Contact Surfaces
• Leszek Demkovicz, The University of Texas at Austin - Adaptive hp Modeling for Time Harmonic Maxwell's Equations. A Progress Report
• Spencer Sherwin, Imperial College - Algorithms and Arteries: The use of Spectral/hp Methods in Vascular Flow Modeling

Some of the contributed lectures were organized into three minisymposia:

• p- and High Order Methods in Mathematics and Engineering organized by Z. Yosibash, Ben-Gurion University.
• Reduced-basis methods for partial differential equations organized by Y. Maday, Université Pierre et Marie Curie and A. Patera, Massachusetts Institute of Technology.
• A symposium in honor of Prof. Saul Abarbanel on his 70th birthday organized by D. Gottlieb, Brown University.

• Saul Abarbanel, Tel Aviv University
• Christine Bernardi, Université Pierre et Marie Curie
• Claudio Canuto, Politecnico di Torino
• Michel Deville, EPFL
• Daniele Funaro, Università di Modena
• Roland Glowinski, University of Houston
• David Gottlieb, Brown University
• Bertil Gustafsson, Uppsala University
• George Karniadakis, Brown University
• Heinz-Otto Kreiss, UCLA
• Yvon Maday, Université Pierre et Marie Curie
• Ernest Mund, Université Libre de Bruxelles
• Tinsley Oden, University of Texas
• Alfio Quarteroni, EPFL
• Chris Schwab, ETHZ
• Ridgeway Scott, University of Chicago
• Manil Suri, University of Maryland

The final program of the conference can be found here.

Proceedings of ICOSAHOM'01 will be published in the Journal of Scientific Computing after a review process led by its Editor C.-W. Shu.

Uppsala University, founded in 1477, is the oldest Scandinavian university. It has an extremely rich historical heritage with such prestigious names as Carl von Linné (1707-1778) the botanist, Anders Celsius (1701-1744), the astronomer who gave his name to the temperature scale, and Olof Rudbeck (1630-1702), the Swedish "Leonardo" given his widespread intellectual genius, that were students or professors at Uppsala University (or both). As part of an excursion, the conference participants visited the "Museum Gustavianum" that keeps the anatomical theatre from 1663, where Rudbeck performed dissections on bodies of criminals, in front of students (and the general public), despite strong opposition of the Church. Afterwards the attendants were taken to Gamla Uppsala, (i.e. the old Uppsala) where according to a tradition set by the same Olof Rudbeck, some mounds were the seat of power for the sunken civilization of Atlantis that originated there. A conference banquet (with Swedish songs) in the Hall of Uppsala Castle where Queen Christine of Sweden, daughter of Gustav II Adolf resigned in 1654 for religious reasons, was a highlight of this conference.

The next ICOSAHOM meeting will be held in 2004 at Brown University, Providence, USA and will be organized by J. Hesthaven and C.-W. Shu.

• Bertil Gustafsson
• Lina Hemmingsson-Frändén
• Wendy Kress
• Carina Lindgren

ICOSAHOM-01
Department of Scientific Computing
Uppsala University
P O Box 120
SE-75104 Uppsala
Sweden

Fax: +46-18-523049
E-mail: icosahom@tdb.uu.se