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

DOI10.1016/j.jcp.2004.10.008zbMath1071.65189OpenAlexW2107979779MaRDI QIDQ1777056

John P. Boyd

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.10.008

zbMATH Keywords

convergenceGegenbauer polynomialsFourier seriesGibbs' phenomenonShocksGegenbauer reconstruction of discontinuities

Mathematics Subject Classification ID

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

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Uses Software

• SSPS

Cites Work

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