@Article{CiCP-6-1063,
author = {S. R. Lau, H. P. Pfeiffer and J. S. Hesthaven},
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/},
url = {http://global-sci.org/intro/article_detail/cicp/7717.html}
}