Padé-Gegenbauer suppression of Runge phenomenon in the diagonal limit of Gegenbauer approximations

DOI10.1016/J.JCP.2006.06.032zbMath1122.65309OpenAlexW2009243783MaRDI QIDQ870595

Laura B. Lurati

Publication date: 13 March 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.06.032

zbMATH Keywords

numerical examplesGegenbauer polynomialsGibbs phenomenonRunge phenomenonPadé-Gegenbauer reconstruction

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Cites Work

• Unnamed Item
• Parameter optimization and reduction of round off error for the Gegenbauer reconstruction method
• On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
• Towards the resolution of the Gibbs phenomena.
• Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations
• Padé-Legendre interpolants for Gibbs reconstruction
• On the Gibbs Phenomenon and Its Resolution
• Analysis and Application of Fourier–Gegenbauer Method to Stiff Differential Equations
• Determining Analyticity for Parameter Optimization of the Gegenbauer Reconstruction Method

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