We develop and apply methods for resolution analysis in tomography, based on stochastic
probing of the Hessian or resolution operators. Key properties of our methods are (i) low …

We present a new method for wave propagation in global earth models based upon the
coupling between the spectral element method and a modal solution method. The Earth is …

We use the direct solution method (DSM) with optimally accurate numerical operators to
calculate complete (including both body and surface waves) three-component synthetic …

We previously presented an optimally accurate time-domain finite difference method (FDM)
scheme for computing synthetic seismograms for one-dimensional (1-D) problems [Geller …

We analyzed vertical component short‐period ScP waveforms for 26 earthquakes occurring
in the Tonga‐Fiji trench recorded at the Alice Springs Array in central Australia. These …

We present a new tomographic method based on the non-linear least-squares inversion of
seismograms using the spectral elements method (SEM). The SEM is used for the forward …

We previously derived a general criterion for optimally accurate numerical operators for the
calculation of synthetic seismograms in the frequency domain. We then derived modified …

A method for simulating seismic wave propagation in a laterally heterogeneous whole earth
model is presented by solving the elastodynamic equations in 2-D cylindrical coordinates …

We present a method for modelling seismic wave propagation in a whole earth model by
solving the elastodynamic equations in 2 D cylindrical coordinates (r, θ) using the Fourier …

The computational cost of full waveform simulation in seismological contexts is known to be
expensive and generally requires large clusters of computers working in parallel. Although …