Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities

DOI10.1016/j.cam.2013.09.029zbMath1311.65013OpenAlexW2023588259MaRDI QIDQ2511276

Zheng Chen, Chi-Wang Shu

Publication date: 5 August 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.09.029

zbMATH Keywords

collocationspectral approximationexponential accuracyGegenbauer expansionGaussian points

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15)

Related Items

Optimal error estimates for Chebyshev approximations of functions with endpoint singularities in fractional spaces, Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities, Fourier spectral methods for Degasperis-Procesi equation with discontinuous solutions, Frames and Numerical Approximation

Cites Work

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• On the Gibbs Phenomenon IV: Recovering Exponential Accuracy in a Subinterval from a Gegenbauer Partial Sum of a Piecewise Analytic Function
• On the Gibbs Phenomenon III: Recovering Exponential Accuracy in a Sub-Interval From a Spectral Partial Sum of a Pecewise Analytic Function