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Your search keyword '"Martínez, Ana Gabriela"' showing total 1 results
Start Over Author "Martínez, Ana Gabriela" Publisher american institute of physics
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1. Detecting Discontinuities from Fourier Coefficients Using Polynomial Approximations.

Author

De Pierro, Alvaro R. and Martínez, Ana Gabriela

Subjects
*FOURIER analysis, *GIBBS phenomenon, *STOCHASTIC convergence, *POLYNOMIALS, *SMOOTHNESS of functions
Abstract

This article deals with the problem of detecting the discontinuities of a piecewise smooth function from its Fourier coefficients. In recent work Yin et al. [1, 2] proposed a general method to recover piecewise smooth functions from spectral data based on polynomial approximations. Here we present a method based on zeroth degree approximations to detect discontinuities from spectral data. The numerical results suggest that the method could perform better than classical methods based on the conjugate Fourier series. [ABSTRACT FROM AUTHOR]

Published
2007
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