GCSW02
30 September 2019 to 4 October 2019
Numerical relativity--the design, implementation, and study of computational methods for the approximate solution of Einstein's equations--is a powerful approach to understanding the complex behavior of gravitational fields. Einstein's equations are statements about the geometry of space times, based on differential geometric structures such as covariance, symmetries, etc. For this reason, structure-preserving numerical methods have the potential to bring enormous benefits to numerical relativity. The development of stable structure-preserving discretization methods for the Einstein equations has thus far proven largely elusive, but it represents a direction with great promise. The successful contribution of numerical relativity to the LIGO observations in 2015 and since has highlighted the important place of numerical relativity in the new world of gravitational wave astronomy. Beyond that, numerical investigations into the behavior of gravity in four and higher dimensions in the highly non-linear regime and computational explorations of holograpy both illustrate the significant role of the field to deciphering the full implications of Einstein's theory of relativity. This role raises many particular challenges, for example, the presence of highly non-linear constraints that must be satisfied for a correct solution, the vast length of time and spatial scales associated to problems of practical interest, the development of singularities, and the necessity to introduce spatial boundaries, which, in turn, require constraint-preserving boundary conditions. All these challenges facing us, together with the recent advances in structure-preserving discretization in other branches of numerical PDE makes this an ideal time to bring together specialists in numerical analysis, computational science, geometry, general relativity, and numerical relativity to discuss and interact in a multidisciplinary environment.
The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:
The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Structure preservation and general relativity, where work on this paper was undertaken. This work was supported by EPSRC grant EP/R014604/1.
Monday 30th September 2019 | |||
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09:00 to 09:20 | No Room Required | ||
09:20 to 09:30 | No Room Required | ||
09:30 to 10:30 |
Deirdre Shoemaker Georgia Institute of Technology |
Room 1 | |
10:30 to 11:00 | No Room Required | ||
11:00 to 12:00 |
Michael Holst University of California, San Diego |
Room 1 | |
12:00 to 13:30 | No Room Required | ||
13:30 to 14:30 |
Pau Figueras Queen Mary University of London; University of Cambridge |
Room 1 | |
14:30 to 15:30 |
Ari Stern Washington University in St. Louis |
Room 1 | |
15:30 to 16:00 | No Room Required | ||
16:00 to 17:00 |
Frans Pretorius Princeton University |
Room 1 | |
17:00 to 18:00 | No Room Required |
Tuesday 1st October 2019 | |||
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09:30 to 10:30 |
Lee Lindblom University of California, San Diego |
Room 1 | |
10:30 to 11:00 | No Room Required | ||
11:00 to 12:00 |
Melvin Leok University of California, San Diego |
Room 1 | |
12:00 to 13:30 | No Room Required | ||
13:30 to 14:30 |
Oscar Reula Universidad Nacional de Córdoba |
Room 1 | |
14:30 to 15:30 |
Snorre Christiansen University of Oslo |
Room 1 | |
15:30 to 16:00 | No Room Required | ||
16:00 to 17:00 | Room 1 |
Wednesday 2nd October 2019 | |||
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09:30 to 10:30 |
Anil Hirani University of Illinois at Urbana-Champaign |
Room 1 | |
10:30 to 11:00 | No Room Required | ||
11:00 to 12:00 |
Soeren Bartels Albert-Ludwigs-Universität Freiburg |
Room 1 | |
12:00 to 13:30 | No Room Required | ||
13:30 to 14:30 |
Helvi Witek King's College London; University of Illinois at Urbana-Champaign |
Room 1 | |
19:30 to 20:30 | No Room Required |
Thursday 3rd October 2019 | |||
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09:30 to 10:30 |
Fernando Abalos Universidad Nacional de Córdoba |
Room 1 | |
10:30 to 11:00 | No Room Required | ||
11:00 to 12:00 |
David Hilditch Instituto Superior Técnico, Lisboa |
Room 1 | |
12:00 to 13:30 | No Room Required | ||
13:30 to 14:30 |
Warner Miller Florida Atlantic University |
Room 1 | |
14:30 to 15:30 |
Ragnar Winther University of Oslo |
Room 1 | |
15:30 to 16:00 | No Room Required | ||
16:00 to 17:00 |
Douglas Arnold University of Minnesota |
Room 1 |
Friday 4th October 2019 | |||
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11:00 to 12:00 |
Pablo Laguna Georgia Institute of Technology |
Room 1 | |
12:00 to 13:30 | No Room Required | ||
13:30 to 14:30 |
Charalampos Markakis University of Cambridge; Queen Mary University of London |
Room 1 | |
14:30 to 15:30 |
Luis Lehner Perimeter Institute for Theoretical Physics |
Room 1 | |
15:30 to 16:00 | No Room Required | ||
16:00 to 17:00 |
David Garfinkle Oakland University |
Room 1 |
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