English

Novel finite-differencing techniques for numerical relativity: application to black hole excision

General Relativity and Quantum Cosmology 2009-11-10 v1

Abstract

We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to construct stable finite-difference schemes for Numerical Relativity, in particular for their use in black hole excision. As an application, we present 3D simulations of a scalar field propagating in a Schwarzschild black hole background.

Keywords

Cite

@article{arxiv.gr-qc/0302072,
  title  = {Novel finite-differencing techniques for numerical relativity: application to black hole excision},
  author = {Gioel Calabrese and Luis Lehner and David Neilsen and Jorge Pullin and Oscar Reula and Olivier Sarbach and Manuel Tiglio},
  journal= {arXiv preprint arXiv:gr-qc/0302072},
  year   = {2009}
}

Comments

4 pages, RevTex, 2 figures

R2 v1 2026-07-22T12:37:24.089Z