Determining Analyticity for Parameter Optimization of the Gegenbauer Reconstruction Method

DOI10.1137/040603814zbMath1091.65130OpenAlexW2037258590MaRDI QIDQ5470352

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Publication date: 30 May 2006

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

Full work available at URL: https://semanticscholar.org/paper/b46c33b6f81ed3576849ac5e51abe7ba01e1a3c0

zbMATH Keywords

error estimatesregularizationnumerical examplesGibbs phenomenonexponential convergenceGegenbauer reconstructionFourier pseudospectral approximation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Rate of convergence, degree of approximation (41A25) Numerical methods for trigonometric approximation and interpolation (65T40) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Approximation by other special function classes (41A30)

Related Items (9)

Robust reprojection methods for the resolution of the Gibbs phenomenon ⋮ Gegenbauer reconstruction method with edge detection for multi-dimensional uncertainty propagation ⋮ Padé-Gegenbauer suppression of Runge phenomenon in the diagonal limit of Gegenbauer approximations ⋮ Reconstruction of piecewise smooth functions from non-uniform grid point data ⋮ Spectral methods in the presence of discontinuities ⋮ On exponential convergence of Gegenbauer interpolation and spectral differentiation ⋮ A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids ⋮ 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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