Some mathematical problems in numerical relativity

Details Some mathematical problems in numerical relativity Some mathematical problems in numerical relativity

2004-04-21

arxiv.org/abs/gr-qc/0404092v1

Lect.Notes Phys.692:251-274,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 12 graphs (eps format)

Scientific paper

10.1007/11550259_12

The main goal of numerical relativity is the long time simulation of highly nonlinear spacetimes that cannot be treated by perturbation theory. This involves analytic, computational and physical issues. At present, the major impasses to achieving global simulations of physical usefulness are of an analytic/computational nature. We present here some examples of how analytic insight can lend useful guidance for the improvement of numerical approaches.

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