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A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples
July  2010, 14(1): 75-109. doi: 10.3934/dcdsb.2010.14.75

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

 1 Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona 2 Departament de Matemátiques, Universitat Autónoma de Barcelona, Edifici C, 08193 Bellaterra (Barcelona)

Received  June 2009 Revised  January 2010 Published  April 2010

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.
Citation: Gerard Gómez, Josep–Maria Mondelo, Carles Simó. A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates. Discrete & Continuous Dynamical Systems - B, 2010, 14 (1) : 75-109. doi: 10.3934/dcdsb.2010.14.75
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