An implementation of the matrix method using the Chebyshev grid

Abstract In this work, we explore the properties of the matrix method for black hole quasinormal modes on the nonuniform grid. In particular, the method is implemented to be adapted to the Chebyshev grid, aimed at effectively suppressing Runge’s phenomenon. It is found that while such an implementat...

Full description

Saved in:
Bibliographic Details
Published in:Progress of theoretical and experimental physics 2023-09, Vol.2023 (9)
Main Authors: Shen, Shui-Fa, Qian, Wei-Liang, Guo, Hong, Zhang, Shao-Jun, Li, Jin
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract In this work, we explore the properties of the matrix method for black hole quasinormal modes on the nonuniform grid. In particular, the method is implemented to be adapted to the Chebyshev grid, aimed at effectively suppressing Runge’s phenomenon. It is found that while such an implementation is favorable from a mathematical point of view, in practice, the increase in precision does not necessarily compensate for the penalty in computational time. On the other hand, the original matrix method, though subject to Runge’s phenomenon, is shown to be reasonably robust and suffices for most applications with a moderate grid number. In terms of computational time and obtained significant figures, we carried out an analysis regarding the trade-off between the two aspects. The implications of the present study are also addressed.
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptad107