We study black-hole binaries in the intermediate-mass-ratio regime 0.01 \lesssim q \lesssim 0.1 with a new technique that makes use of nonlinear numerical trajectories and efficient perturbative evolutions to compute waveforms at large radii for the leading and nonleading modes .
As a proof-of-concept , we compute waveforms for q = 1 / 10 .
We discuss applications of these techniques for LIGO/VIRGO data analysis and the possibility that our technique can be extended to produce accurate waveform templates from a modest number of fully-nonlinear numerical simulations .