A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates

Gerard Gómez, Josep Maria Mondelo, Carles Simó

Research output: Contribution to journalArticleResearchpeer-review

15 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)75-109
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume14
Issue number1
DOIs
Publication statusPublished - 1 Jul 2010

Keywords

  • Fast fourier transform
  • Numerical fourier analysis
  • Quasi-periodic functions

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