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

Preprint

18 February 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0302072

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

TECHNIQUES FOR NUMERICAL
DIFFERENCING TECHNIQUES
NUMERICAL RELATIVITY
FINITE DIFFERENCING
HOLE EXCISION
NOVEL FINITE
BLACK HOLE
STABLE

All Related Versions

Version 1, 2003-02-18, ArXiv
Published version: Classical and Quantum Gravity, 20 (20), L245.

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