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: A review is made of gravitational waves, their simulation and the methods used for their definitive detection in 2015. A comparison of electromagnetic waves with gravitational waves and the main technological efforts made over decades for their detection is presented.  Objective: is to detect OG from massive black holes and galactic and extragalactic binary stars in a frequency range of 10-4 to 10-1 Hz.  Materials and methods : Numerical methods used in its simulation are specified, emphasizing computational techniques used in recent years.  Results: The boundary is placed at x = 2/3 and the parameters are used for the simulations shown in figures 3 and 4: number of points of the angular mesh Nq = Np = Nξ = 45, and for the radial mesh Nx = 100 , A = 10-3, Ra = 4, Rb = 7.  Discussion: The simulations were carried out with a code programmed in FORTRAN 90 and run under the LINUX free software platform. The figures were generated with the Dx plotter under LINUX environment, allowed to evaluate the respective equations and give a satisfactory answer to the proposed objectives.  Conclusions: it was possible to conclude that the detection of gravitational waves is possible, however it is necessary to improve the sensitivity, which will allow the detection of new events collecting information about sources three times more distant, and increasing the probability of detection.

Simulation of quasi spherical gravitational waves in the characteristic formulation