Gaussian Beam Methods for the Helmholtz Equation

In this work we construct Gaussian beam approximations to solutions of the high frequency Helmholtz equation with a localized source. Under the assumption of non-trapping rays we show error estimates between the exact outgoing solution and Gaussian beams in terms of the wave number $k$, both for sin...

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Hauptverfasser: Liu, Hailiang, Ralston, James, Runborg, Olof, Tanushev, Nicolay M
Format: Artikel
Sprache:eng
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