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On efficient computation of multidimensional oscillatory integrals with local Fourier bases

✍ Scribed by A. Averbuch; E. Braverman; M. Israeli; R. Coifman

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
395 KB
Volume
47
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Efficient Computation of Oscillatory Int
Efficient Computation of Oscillatory Integrals via Adaptive Multiscale Local Fourier Bases
✍ A. Averbuch; E. Braverman; R. Coifman; M. Israeli; A. Sidi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 354 KB

The integral L 0 e iΞ½Ο† (s,t) f (s) ds with a highly oscillatory kernel (large Ξ½, Ξ½ 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 representati