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- W4385967510 abstract "We consider the free space Helmholtz Green's function and split it into the sum of oscillatory and non-oscillatory (singular) components. The goal is to separate the impact of the singularity of the real part at the origin from the oscillatory behavior controlled by the wave number k. The oscillatory component can be chosen to have any finite number of continuous derivatives at the origin and can be applied to a function in the Fourier space in $mathcal{O}left(k^{d}log kright)$ operations. The non-oscillatory component has a multiresolution representation via a linear combination of Gaussians and is applied efficiently in space." @default.
- W4385967510 created "2023-08-19" @default.
- W4385967510 creator A5054096786 @default.
- W4385967510 date "2023-08-02" @default.
- W4385967510 modified "2023-09-23" @default.
- W4385967510 title "On representations of the Helmholtz Green's function" @default.
- W4385967510 doi "https://doi.org/10.48550/arxiv.2308.01289" @default.
- W4385967510 hasPublicationYear "2023" @default.
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