EFFICIENT REPRESENTATION AND ACCURATE EVALUATION OF OSCILLATORY INTEGRALS AND FUNCTIONS

被引：4

作者：

Beylkin, Gregory ^{[1
]}

Monzon, Lucas ^{[1
]}

机构：

[1] Univ Colorado, Dept Appl Math, 526 UCB, Boulder, CO 80309 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 08期

基金：

美国国家科学基金会;

关键词：

Oscillatory integrals; functional approximation; numerical integration; quadratures; bandlimited functions; SPHEROIDAL WAVE-FUNCTIONS; GENERALIZED GAUSSIAN QUADRATURES; FOURIER-ANALYSIS; UNCERTAINTY; COMPUTATION;

D O I：

10.3934/dcds.2016.36.4077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new method for functional representation of oscillatory integrals within any user-supplied accuracy. Our approach is based on robust methods for nonlinear approximation of functions via exponentials. The complexity of evaluation of the resulting representations of the oscillatory integrals does not depend or depends only mildly on the size of the parameter responsible for the oscillatory behavior.

引用

页码：4077 / 4100

页数：24

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