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### Abstract

Traveltimes are useful in Kirchhoff migration, seismic modeling and tomography. They can be computed efficiently and precisely by integration of the eikonal equation on a regular grid, through a finite-difference method (Van Trier and Symes, 1991; Vidale, 1990). Unfortunately, this approach is potentially unstable because of the Courant-Friedrich-Levy stability condition that might not be satisfied in certain directions, unless the vertical step is kept small. This reduces the efficiency.

/content/papers/10.3997/2214-4609.201408236
1998-06-08
2022-12-09