1998/05/21 by A. Arbona, C. Bona · 2 citations
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Numerical methods for differential equations #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1016/s0010-4655(99)00191-5
published as Comput.Phys.Commun. 118 (1999) 229-235 · 10 pages, Latex, 1 postscript figure
arxiv created 1998/05/21 · openalex publication_date 1999/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
Instabilities in finite difference codes due to the singularity of spherical coordinates at the center are studied. In typical Numerical Relativity applications, standard regularization techniques by themselves do not ensure long term stability. A proposal to remedy that problem is presented, which takes advantage of redundant quantities introduced in recent hyperbolic formulations of Einstein's evolution equations. The results are discussed through the example case of a boson star, where a significant improvement in the implementation of boundary conditions is also presented.