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

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.

4 pages, RevTex, 2 figures

References in corpus (2)

• Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations
• Simple excision of a black hole in 3+1 numerical relativity

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