Optimization approximation with separable variables for the one-way wave operator

Statistics – Computation

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Exploration Geophysics: Computational Methods, Seismic, Exploration Geophysics: General Or Miscellaneous, Mathematical Geophysics: Numerical Solutions

Scientific paper

An optimization approximation with separable variables for the one-way wave operator is presented in this Letter. This new method approximates the one-way wave operator by products of functions in space variables and functions in wave number variables by means of optimization approximation with separable variables. This approximation enables us to use FFT algorithm which is independent of space variables while suffering no problem of branch points present in the generalized-screen method.

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