A COLLOCATION METHOD FOR THE NUMERICAL FOURIER ANALYSIS OF QUASI-PERIODIC FUNCTIONS. II: ANALYTICAL ERROR ESTIMATES

被引：19

作者：

Gomez, Gerard ^{[1
]}

Mondelo, Josep-Maria ^{[2
]}

Simo, Carles ^{[1
]}

机构：

[1] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2010年 / 14卷 / 01期

关键词：

Numerical Fourier analysis; Fast Fourier Transform; quasi-periodic functions; SOLAR-SYSTEM;

D O I：

10.3934/dcdsb.2010.14.75

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a previous paper [6], a numerical procedure for the Fourier analysis of quasi-periodic functions was developed, allowing for an accurate determination of frequencies and amplitudes from equally-spaced samples of the input function on a finite time interval. This paper is devoted to a complete error analysis of that procedure, from which computable bounds are deduced. These bounds are verified and further discussed in examples.

引用

页码：75 / 109

页数：35

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[Anonymous], 1992, HDB IMPEDANCE FUNCTI

[2]

[Anonymous], 1993, INTRO NUMERICAL ANAL, DOI DOI 10.1007/978-1-4757-2272-7

[3]

Brigham E. O., 1988, FAST FOURIER TRANSFO

[4] The design and implementation of FFTW3 [J].