On the stability of covariant BSSN formulation

Ryosuke Urakawa, Takuya Tsuchiya*, Gen Yoneda*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number165002
JournalClassical and Quantum Gravity
Issue number16
Publication statusPublished - 2022 Aug 18


  • covariant form
  • eigenvalue analysis
  • numerical relativity

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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