IMEX evolution of scalar fields on curved backgrounds

Understand

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.