2006/09/30 by Michael Boyle, Lee Lindblom, Harald Pfeiffer +2 · 5 citations
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Numerical methods for differential equations #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1103/physrevd.75.024006
published as Phys.Rev.D75:024006,2007 · Final version, as published in Phys. Rev. D; 13 pages, 16 figures
openalex publication_date 2007/01/05 · arxiv created 2007/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The accuracy and stability of the Caltech-Cornell pseudospectral code is evaluated using the Kidder, Scheel, and Teukolsky (KST) representation of the Einstein evolution equations. The basic ``Mexico City tests'' widely adopted by the numerical relativity community are adapted here for codes based on spectral methods. Exponential convergence of the spectral code is established, apparently limited only by numerical roundoff error or by truncation error in the time integration. A general expression for the growth of errors due to finite machine precision is derived, and it is shown that this limit is achieved here for the linear plane-wave test.