Reconstruction of the initial tsunami waveform by the coastal observations inversion

The paper deals with the reconstruction of the original tsunami waveform in the source area records from the waves observed on a set of the coastal wave gauges. The wave propagation is described by the linearized shallow-water equations when depth depends on one variable. The direct problem is approximated by the explicit-implicit finite difference scheme. The ill-posed inverse problem of the reconstruction is regularized by means of the least square inversion using the truncated SVD approach, so r-solution is a result of the numerical process. Results of numerical experiments are presented.