Fundamental issues of numerical relativity

Wednesday, June 26, 2002 - 11:00am - 11:50am
Keller 3-180
Matt Choptuik (University of British Columbia)
This talk will consist of a very broad, mainly non-technical overview of some of the basic issues which arise in the study of numerical solutions of Einstein's equations. Following a very brief review of the target physics, I will touch on a variety of topics including: the nature of solutions of the Einstein field equations, black hole singularities and black hole excision, discretization strategies, convergence and stability, resolution and adaptive mesh refinement, and the role of model problems in numerical relativity. The viewpoints espoused in the talk are not universally accepted in the field; indeed, one of the aims of the presentation is to stimulate lively discussion amongst the workshop participants concerning the basic approaches which have been used in numerical relativity the far, and the identification of particularly promising avenues for ongoing research.