Lau, S. R.Pfeiffer, H. P.Hesthaven, Jan S.2013-11-122013-11-122013-11-12200910.4208/cicp.2009.v6.p1063https://infoscience.epfl.ch/handle/20.500.14299/96939WOS:000269717500006Inspiral 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.Implicit-explicit schemesspectral methodsnumerical relativityblack holestext::journal::journal article::research article