Past and recent research on the use of non-reflecting boundary conditions in the numerical
solution of wave problems is reviewed. Local and nonlocal boundary conditions are …

I present a finite-difference method for modeling P-SV wave propagation in heterogeneous
media. This is an extension of the method I previously proposed for modeling SH-wave …

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

The split-step Fourier method is developed and applied to migrating stacked seismic data in
two and three dimensions. This migration method, which is implemented in both the …

Frequency-domain shot-record migration can produce higher quality images than Kirchhoff
migration but typically at a greater cost. The computing cost of shot-record migration is the …

The first edition of this book was a slightly modified version of my dissertation (defended in
February 2001). This second edition has been extended considerably. Many technological …

In 1983, a preconditioner was proposed [J. Comput. Phys. 49 (1983) 443] based on the
Laplace operator for solving the discrete Helmholtz equation efficiently with CGNR. The …

Density and bulk modulus variations in an acoustic earth are separately recoverable from
standard reflection surveys by utililizing the amplitude-versus-offset information present in …

A one-way wave equation is a partial differential equation which, in some approximate
sense, behaves like the wave equation in one direction but permits no propagation in the …

A one‐way wave equation, also known as a paraxial or parabolic wave equation, is a
differential equation that permits wave propagation in certain directions only. Such …