Efficient Computation of Oscillatory Integrals via Adaptive Multiscale Local Fourier Bases

Abstract

The integral ∫ L 0 e iνφ(s,t)f (s) ds with a highly oscillatory kernel (large ν, ν is up to 2000) is considered. This integral is accurately evaluated with an improved trapezoidal rule and effectively transcribed using local Fourier basis and adaptive multiscale local Fourier basis. The representation of the oscillatory kernel in these bases is sparse. The… (More)

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Cite this paper

@inproceedings{Averbuch2000EfficientCO, title={Efficient Computation of Oscillatory Integrals via Adaptive Multiscale Local Fourier Bases}, author={Alex Averbuch and Elena Braverman and Ronald. R. Coifman and Leslie Greengard}, year={2000} }