Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/60883
Type: Artigo de periódico
Title: Iterative methods based on spline approximations to detect discontinuities from Fourier data
Author: Martinez, AG
De Pierro, AR
Abstract: Recently, spline approximations have been proposed for the reconstruction of piecewise smooth functions from Fourier data. That approach makes possible to retrieve the functions from their Fourier coefficients for any given degree of accuracy when the discontinuity points are known. In this paper we present iterative methods based on those spline approximations, for several degrees, to find locations and amplitudes of the jumps of a piecewise smooth function, given its Fourier coefficients. We also present numerical experiments comparing with different previous approaches. (C) 2010 Elsevier B.V. All rights reserved.
Subject: Discontinuity detection
Fourier data
Iterative methods
Gibbs phenomenon
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/j.cam.2010.04.027
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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