Calculating Gravitational Radiation from Collisions
  The development of both ground- and space-based gravitational wave detectors provides new opportunities to observe the radiation from binaries containing neutron stars and black holes. Numerical simulations in 3-D are essential for calculating the coalescence waveforms, and comprise some of the most challenging problems in astrophysics today. This article briefly reviews the current status of efforts to calculate black hole and neutron star coalescences, and highlights challenges for the future. 
Joan M. Centrella