2001/03/31 by Roberto Gómez, Roberto Gomez · 4 citations
Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Binary black hole #Binary number #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computation #Computer science #Cosmology and Gravitation Theories #Differential (mechanical device) #Gravitation #Gravitational wave #Mathematics #Nonlinear system #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Waveform #gr-qc
paper · pdf · doi:10.1103/physrevd.64.024007
published as Phys.Rev. D64 (2001) 024007 · Revised version, published in Phys. Rev. D, RevTeX, 16 pages, 4 figures
arxiv created 2001/06/07 · openalex publication_date 2001/06/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A partially first-order form of the characteristic formulation is introduced to control the accuracy in the computation of gravitational waveforms produced by highly distorted single black hole spacetimes. Our approach is to reduce the system of equations to first-order differential form on the angular derivatives, while retaining the proven radial and time integration schemes of the standard characteristic formulation. This results in significantly improved accuracy over the standard mixed-order approach in the extremely nonlinear post-merger regime of binary black hole collisions.