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Summer 2002"Hot Topics" Workshop:Numerical Relativity
Jointly sponsored with the Center for
Gravitational Wave Physics, Penn State
Organizers:
Description: The numerical solution of Einstein's equations of general relativity promises to become one of the most potent tools for for understanding the complex behavior of strong dynamical gravitational fields. In recent years the field of numerical relativity has grown substantially, engaging the efforts of large groups of researchers across the globe. Despite some promising results, the development of accurate, efficient, and validated algorithms for Einstein's equations remains elusive. This is in part due to the size and complexity of the equations, but also due to fundamental issues which remain to be fully understood. The problems of numerical relativity share many features with other large scale problems of computational physics, and it is highly likely that lessons learned in fields such as computational fluid dynamics, solid mechanics, and electromagnetics will help advance numerical relativity. But the fundamental differences between general relativity and classical field theories also bring major new computational issues. This workshop will bring together numerical relativists and mathematicians working in fields such as numerical analysis, scientific computation, partial differential equations, and geometry, for an intense but informal period aimed at maximal communication and interaction between diverse researchers. The primary goals are to bring new ideas and techniques into the numerical relativity community and to propel applied mathematicians with relevant skills and interests into NR. We hope that this workshop will lead to continued interactions which could take place at many venues such as the Center for Gravitational Wave Physics at Penn State, the Institute for Theoretical Physics at UC Santa Barbara, the Caltech Visitors Program in the Numerical Simulation of Gravitational Wave Sources, and the IMA. Such interactions can lay the foundation for the formation of multidisciplinary teams better equipped to tackle the challenges of numerical relativity. The workshop will focus on a few of the many issues in numerical relativity, selected for their importance, mathematical nature, and relative accessibility. Main among these are the initial value problem of vacuum relativity, including the encoding as partial differential equations; discretization techniques for these equations; treatment of black hole spacetimes; the imposition of boundary conditions; and the determination of physically relevant initial data.
LIST
OF CONFIRMED PARTICIPANTS
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| Name | Department | Affiliation |
|---|---|---|
| Douglas N. Arnold | Institute for Mathematics and its Applications | |
| Robert Bartnik | Mathematics and Statistics | University of Canberra |
| Beverly Berger | Division of Physics | National Science Foundation |
| David Brown | Physics | North Carolina State University |
| Matt Choptuik | Physics | University of British Columbia |
| Gregory B. Cook | Physics | Wake Forest University |
| Rick Falk | Mathematics | Rutgers University |
| Lee Samuel Finn | Director, Center for Gravitational Wave Physics | Penn State University |
| Jörg Frauendiener | Theoretische Astrophysik | Universität Tübingen |
| Ralf Hiptmair | Mathematics | University of Tübingen |
| Michael Holst | Mathematics | UC San Diego |
| Sascha Husa | Max-Planck-Institut für Gravitationsphysik | Albert-Einstein-Institut |
| Marcus Keel | Mathematics | University of Minnesota |
| Pablo Laguna | Center for Gravitational Wave Physics | Penn State University |
| Luis Lehner | Physics & Astronomy | University of British Columbia |
| Lee Lindblom | Physics, Math & Astronomy | Caltech |
| Peter Monk | Mathematical Sciences | University of Delaware |
| Arup Mukherjee | Mathematics Sciences | Montclair State University |
| Denis Pollney | Max-Planck-Institut für Gravitationsphysik | Albert-Einstein-Institut |
| Richard Price | Physics | University of Utah |
| Alan Rendall | Max-Planck-Institut für Gravitationsphysik | Albert-Einstein-Institut |
| Oscar Reula | Investigador Independiente, CONICET | FaMAF, Universidad Nacional de Cordoba |
| Mark A. Scheel | Physics, Mathematics, and Astronomy | California Institute of Technology |
| Deirdre Shoemaker | Astronomy | Penn State University |
| Eitan Tadmor | Mathematics | University of California Los Angeles |
| Blake Temple | Mathematics | University of California |
| Manuel Tiglio | Physics | Louisiana State University |
| Jeff Winicour | Physics | University of Pittsburgh |
| Ragnar Winther | Informatics | University of Oslo |
| Jinchao Xu | Mathematics | Pennsylvania State University |
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