In this study, the tsunami source of the 2013 Solomon Island tsunami event was reconstructed by the r-solution method. The focus of this research is the applying the regularities obtained for a model cases to the real event. To understand the reasonable strategy of deployment of a tsunami recorders, series of the numerical experiments were carried out and DART Buoys monitoring system, for the case in question, was examined for the efficiency to infer the tsunami source. The method proposed suppresses the negative effect of the ill-posedness of the problem determining the inevitable instability of the numerical solution.

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