Numerical simulations of black-hole binaries and gravitational wave
  emission
  We review recent progress in numerical relativity simulations of black-hole
(BH) spacetimes. Following a brief summary of the methods employed in the
modeling, we summarize the key results in three major areas of BH physics: (i)
BHs as sources of gravitational waves (GWs), (ii) astrophysical systems
involving BHs, and (iii) BHs in high-energy physics. We conclude with a list of
the most urgent tasks for numerical relativity in these three areas.
