On efficient computation of multidimensional oscillatory integrals with local Fourier bases

Authors
Averbuch, A Braverman, E Israeli, M Coifman, R
Citation
A. Averbuch et al., On efficient computation of multidimensional oscillatory integrals with local Fourier bases, NONLIN ANAL, 47(5), 2001, pp. 3491-3502
Citations number
8
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
5
Year of publication
2001
Part
5
Pages
3491 - 3502
Database
ISI
SICI code
0362-546X(200108)47:5<3491:OECOMO>2.0.ZU;2-M
Abstract
The integral integral (L)(0) integral (L)(0) e(iv phi (x,y,s,t)) f(s,t) ds dt with a highly oscillatory kernel (large v) is represented using local Fouri er basis. The representation of the oscillatory kernel in this basis is spa rse.