Einstein's general theory of relativity offers the theoretical background to understand the dynamics of black holes, which are some of the most fascinating astronomical objects in the universe. When a pair of black holes collide, the very fabric of space-time shakes, and gravitational waves are created. My research is focused in preparing templates for the radiating signal by solving Einstein's equations of general relativity numerically, developing computer software and mathematical approximation algorithms. The computed gravitational wave signal can be used by gravitational waves observatories, such as LIGO (Laser Interferometer Gravitational-Wave Observatory) and LISA (Laser Interferometer Space Antenna) as waveform estimates for data analysis. Direct observation of gravitational waves will dramatically expand our knowledge of the Universe.