Gibbs phenomenon removal by adding Heaviside functions (Q1955537)

scientific article; zbMATH DE number 6176108

Language	Label	Description	Also known as
English	Gibbs phenomenon removal by adding Heaviside functions	scientific article; zbMATH DE number 6176108

Statements

instance of

scholarly article

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title

Gibbs phenomenon removal by adding Heaviside functions (English)

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Advances in Computational Mathematics

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publication date

14 June 2013

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zbMATH Keywords

Gibbs phenomenon

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Fourier series

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Fourier coefficient

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uniform convergence

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10444-011-9255-7

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cites work

Gibbs phenomenon and its removal for a class of orthogonal expansions

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On the Gibbs Phenomenon and Its Resolution

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Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm

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Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations

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Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon

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Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations

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A Padé-based algorithm for overcoming the Gibbs phenomenon

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Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions

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On a high order numerical method for functions with singularities

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A hybrid approach to spectral reconstruction of piecewise smooth functions

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The resolution of the Gibbs phenomenon for ``spliced'' functions in one and two dimensions

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Robust reprojection methods for the resolution of the Gibbs phenomenon

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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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On the Gibbs phenomenon. V: Recovering exponential accuracy from collocation point values of a piecewise analytic function

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On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function

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Q4211214

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Q4485078

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A note on the Gibbs phenomenon with multiquadric radial basis functions

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Generalization of the inverse polynomial reconstruction method in the resolution of the Gibbs phenomenon

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On the numerical convergence with the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon

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Determination of the jumps of a bounded function by its Fourier series

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Locating discontinuities of a bounded function by the partial sums of its Fourier series

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On inverse methods for the resolution of the Gibbs phenomenon

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Q4346707

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Gibbs' phenomenon for nonnegative compactly supported scaling vectors

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Digital total variation filtering as postprocessing for Chebyshev pseudospectral methods for conservation laws

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Digital total variation filtering as postprocessing for radial basis function approximation methods

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Towards the resolution of the Gibbs phenomena.

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Filters, mollifiers and the computation of the Gibbs phenomenon

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Family of spectral filters for discontinuous problems

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Analysis and Application of Fourier–Gegenbauer Method to Stiff Differential Equations

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Identifiers

zbMATH Open document ID

1269.42001

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Mathematics Subject Classification ID

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10.1007/S10444-011-9255-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:1955537