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Book Chapter

Some mathematical problems in numerical relativity

MPS-Authors

Babiuc,  Maria C.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Szilagyi,  Bela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour,  Jeffrey
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0404092.pdf
(Preprint), 365KB

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Citation

Babiuc, M. C., Szilagyi, B., & Winicour, J. (2006). Some mathematical problems in numerical relativity. In J. Frauendiener, D. J. Giulini, & V. Perlick (Eds.), Analytical and Numerical Approaches to Mathematical Relativity (pp. 251-274). Berlin u.a: Springer.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4B00-2
Abstract
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.