Seismic tomography is a powerful tool for illuminating Earth structure across a range of
scales, but the usefulness of any image that is generated by this method is dependent on …

Deep-learning techniques appear to be poised to play very important roles in our processing
flows for inversion and interpretation of seismic data. The most successful seismic …

Recent progress in numerical methods and computer science allows us today to simulate
the propagation of seismic waves through realistically heterogeneous Earth models with …

In this paper, we present a series of mathematical abstractions for seismologically relevant
wave equations discretized using finite-element methods, and demonstrate how these …

This book is an introductory text to a range of numerical methods used today to simulate time-
dependent processes in Earth science, physics, engineering, and many other fields. The …

In this article, a conservative least-squares polynomial reconstruction operator is applied to
the discontinuous Galerkin method. In a first instance, piecewise polynomials of degree N …

We analyze the problem of a heterogeneous formulation of the equation of motion and
propose a new 3D fourth-order staggered-grid finite-difference (FD) scheme for modeling …

We propose a new robust and accurate SPH scheme, able to track correctly complex three-
dimensional non-hydrostatic free surface flows and, even more important, also able to …

We develop and apply a full waveform inversion method that incorporates seismic data on a
wide range of spatio-temporal scales, thereby constraining the details of both crustal and …

We propose a new approach to full seismic waveform inversion on continental and global
scales. This is based on the time–frequency transform of both data and synthetic …