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Structure preservation and general relativity


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30th September 2019 to 4th October 2019
Douglas Arnold
David Garfinkle
Michael Holst
Luis Lehner
Reinout Quispel

Workshop Theme 

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.

Deadline for applications: 23rd June 2019

GCS programme participants DO NOT need to apply, programme participants with visit dates during GCSW01 will automatically be added to the attendee list.

Please note members of Cambridge University are welcome to turn up and sign in as a non-registered attendee on the day(s) during the workshop and attend the lecture(s). Please note that we cannot provide you with any support including name badge, meals or accommodation.

In addition to visiting the INI, there are multiple ways in which you can participate remotely.

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Registration Only    
  • Registration Package: £220
  • Student Registration Package: £170

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.


Formal Dinner Only
  • Formal Dinner: £50

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.


Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.  Please see the Hotels Combined website for a list of local hotels and guesthouses.




Lunch timings and location will be confirmed with timetable.

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The Formal Dinner will take place Wednesday 2nd October at Emmanuel College. Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons