@Article{CiCP-6-5,
author = {},
title = {IMEX Evolution of Scalar Fields on Curved Backgrounds},
journal = {Communications in Computational Physics},
year = {2009},
volume = {6},
number = {5},
pages = {1063--1094},
abstract = {<p style="text-align: justify;">Inspiral of binary black holes occurs over a time-scale of many orbits, far
longer than the dynamical time-scale of the individual black holes. Explicit evolutions
of a binary system therefore require excessively many time-steps to capture interesting
dynamics. We present a strategy to overcome the Courant-Friedrichs-Lewy condition
in such evolutions, one relying on modern implicit-explicit ODE solvers and multidomain
spectral methods for elliptic equations. Our analysis considers the model problem
of a forced scalar field propagating on a generic curved background. Nevertheless,
we encounter and address a number of issues pertinent to the binary black hole
problem in full general relativity. Specializing to the Schwarzschild geometry in Kerr-Schild
coordinates, we document the results of several numerical experiments testing
our strategy.</p>},
issn = {1991-7120},
doi = {https://doi.org/2009-CiCP-7717},
url = {https://global-sci.com/article/81181/imex-evolution-of-scalar-fields-on-curved-backgrounds}
}