This paper reviews the recent developments concerning the methods allowing the
estimation of ground shaking site effects in a particular site, as well as the main lessons …

We review key ingredients that are needed for high-fidelity simulation of earthquake-
generated seismic waves in large regions. Specifically, we survey existing literature on wave …

The spectral ratio technique is a common useful way to estimate empirical transfer function
to evaluates site effects in regions of moderate to high seismicity. The purpose of this paper …

The perfectly matched layer (PML) absorbing boundary condition has proven to be very
efficient from a numerical point of view for the elastic wave equation to absorb both body …

A new numerical method is presented for propagating elastic waves in heterogeneous earth
media, based on spectral approximations of the wavefield combined with domain …

A spectral element method for the approximate solution of linear elastodynamic equations,
set in a weak form, is shown to provide an efficient tool for simulating elastic wave …

In realistic materials, multiple scattering takes place and average field intensities or energy
densities follow diffusive processes. Multiple P to S energy conversions by the random …

A dynamic, two-dimensional, stability analysis of a highly discontinuous rock slope is
demonstrated in this paper. The studied rock slope is the upper terrace of King Herod's …

We present the main properties of the spectral-element method, which is well suited for
numerical calculations of synthetic seismograms for three-dimensional Earth models. The …

A simplified indirect boundary-element method (BEM) is presented. It is used to compute the
seismic response of three-dimensional alluvial valleys under incident P, S, and Rayleigh …