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The finite-difference method greatly simplifies traveltime
calculations on a regular grid.
The algorithm has the advantage over Vidale's method that all
points can be treated equally; i.e., minimum traveltime
points do not have to be found at each extrapolation step, and
the difference scheme vectorizes fully.
allows efficient calculation of Greens's functions in Kirchhoff methods,
and fast traveltime computations in iterative tomography schemes.
Stanford Exploration Project