✦ LIBER ✦
Efficient Computation of Oscillatory Integrals via Adaptive Multiscale Local Fourier Bases
✍ Scribed by A. Averbuch; E. Braverman; R. Coifman; M. Israeli; A. Sidi
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 354 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1063-5203
No coin nor oath required. For personal study only.
✦ Synopsis
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 coefficients after the application of local Fourier transform are smoothed. Sometimes this enables us to obtain further compression with wavelets.