English

Some mathematical problems in numerical relativity

General Relativity and Quantum Cosmology 2011-04-21 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/0404092,
  title  = {Some mathematical problems in numerical relativity},
  author = {Maria Babiuc and Bela Szilagyi and Jeffrey Winicour},
  journal= {arXiv preprint arXiv:gr-qc/0404092},
  year   = {2011}
}

Comments

17 pages, 12 graphs (eps format)