@article{45bc371a124e4ec1b377b1ce9818a30d,
title = "On the stability of covariant BSSN formulation",
abstract = "In this study, we investigate the numerical stability of the covariant BSSN (cBSSN) formulation proposed by Brown. We calculate the constraint amplification factor (CAF), which is an eigenvalue of the coefficient matrix of the evolution equations of the constraints on the cBSSN formulation and on some adjusted formulations with constraints added to the evolution equations. The adjusted formulations have a higher numerical stability than the cBSSN formulation from the viewpoint of the CAF.",
keywords = "covariant form, eigenvalue analysis, numerical relativity",
author = "Ryosuke Urakawa and Takuya Tsuchiya and Gen Yoneda",
note = "Funding Information: We thank referees for carefully reading and giving fruitful comments on our paper. GY and TT were partially supported by JSPS KAKENHI Grant No. 20K03740. GY was partially supported by a Waseda University Grant for Special Research Projects 2021C-138. TT was partially supported by JSPS KAKENHI Grant No. 21K03354, and a Grant for Basic Science Research Projects from The Sumitomo Foundation. Publisher Copyright: {\textcopyright} 2022 The Author(s). Published by IOP Publishing Ltd.",
year = "2022",
month = aug,
day = "18",
doi = "10.1088/1361-6382/ac7e16",
language = "English",
volume = "39",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "16",
}