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

Gioel Calabrese·Luis Lehner·David Neilsen·Jorge Pullin·Oscar Reula·Olivier Sarbach·Manuel Tiglio
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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.

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Gioel Calabrese, Luis Lehner, David Neilsen, Jorge Pullin, Oscar Reula, Olivier Sarbach, Manuel Tiglio. 2003-02-18. Novel finite-differencing techniques for numerical relativity: application to black hole excision. https://doi.org/10.1088/0264-9381%2F20%2F20%2F102

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