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.
Publication Source (Journal or Book title)
Classical and Quantum Gravity
Calabrese, G., Lehner, L., Neilsen, D., Pullin, J., Reula, O., Sarbach, O., & Tiglio, M. (2003). Novel finite-differencing techniques for numerical relativity: Application to black-hole excision. Classical and Quantum Gravity, 20 (20) https://doi.org/10.1088/0264-9381/20/20/102