An averaging method for the Fourier approximation to discontinuous functions

DOI10.1016/j.amc.2006.05.060zbMath1113.65126OpenAlexW2029866843MaRDI QIDQ864767

Beong In Yun, Kyung Soo Rim, Hyun-Chul Kim

Publication date: 13 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.060

zbMATH Keywords

numerical examplesGibbs phenomenontruncated Fourier seriesfiltering methodaveraging method of polynomial typeinevitable oscillating errorLanczos averaging methodtruncated Fourier integral

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (1)

Inverse scattering theory: Inverse scattering series method for one dimensional non-compact support potential

Cites Work

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• On One-Sided Filters for Spectral Fourier Approximations of Discontinuous Functions
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• Analysis and Application of Fourier–Gegenbauer Method to Stiff Differential Equations
• On the Gibbs Phenomenon IV: Recovering Exponential Accuracy in a Subinterval from a Gegenbauer Partial Sum of a Piecewise Analytic Function
• On the Gibbs Phenomenon III: Recovering Exponential Accuracy in a Sub-Interval From a Spectral Partial Sum of a Pecewise Analytic Function

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