Seismic modeling is one of the cornerstones of geophysical data processing. We give an
overview of the most common modeling methods in use today: direct methods, integral …

We present a review of the recent development in finite-difference time-domain modeling of
seismic wave propagation and earthquake motion. The finite-difference method is a robust …

Seismic velocity and attenuation anisotropy are ubiquitous in the crust and upper mantle,
significantly modulating the characteristics of seismic wave propagation in the Earth's …

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

We present an introduction to the spectral element method, which provides an innovative
numerical approach to the calculation of synthetic seismograms in 3-D earth models. The …

Computational power has advanced to a state where we can begin to perform wavefield
simulations for realistic (complex) 3-D earth models at frequencies of interest to both …

Among all the numerical methods in seismology, the finite-difference (FD) technique
provides the best balance of accuracy and computational efficiency. This book offers a …

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 …

Strong subsurface attenuation leads to distortion of amplitudes and phases of seismic waves
propagating inside the earth. Conventional acoustic reverse time migration (RTM) and least …