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Determination of Optimal Parameters for the Chebyshev--Gegenbauer Reconstruction Method

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Publication:4442518
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DOI10.1137/S1064827503423597zbMath1063.65153OpenAlexW2050707410MaRDI QIDQ4442518

Zdzisław Jackiewicz

Publication date: 20 January 2004

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827503423597


zbMATH Keywords

regularizationnumerical examplesexponential convergenceChebyshev expansionGegenbauer reconstruction


Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for trigonometric approximation and interpolation (65T40)


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Robust reprojection methods for the resolution of the Gibbs phenomenon ⋮ Digital total variation filtering as postprocessing for Chebyshev pseudospectral methods for conservation laws ⋮ Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations ⋮ A strategy for choosing Gegenbauer reconstruction parameters for numerical stability



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