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
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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