On efficient computation of multidimensional oscillatory integrals with local Fourier bases

被引：4

作者：

Averbuch, A ^{[1
]}

Braverman, E

Israeli, M

Coifman, R

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] Technion Israel Inst Technol, Dept Comp Sci, IL-32000 Haifa, Israel

[3] Yale Univ, Dept Math, New Haven, CT 06520 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 05期

关键词：

multidimensional oscillatory integrals; local Fourier basis; sparse representations;

D O I：

10.1016/S0362-546X(01)00466-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Fourier basis. The representation of the oscillatory kernel in this basis is sparse.

引用

页码：3491 / 3502

页数：12

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