Fourier tools are much more powerful than commonly thought

DOI10.1134/S1995080219080195OpenAlexW2971979154WikidataQ127308384 ScholiaQ127308384MaRDI QIDQ2010166

Yanyan Li

Publication date: 3 December 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219080195

zbMATH Keywords

approximationFourier seriesspectral methodacceleration of convergenceover-convergence phenomenon

Mathematics Subject Classification ID

Numerical analysis (65-XX) Special functions (33-XX)

Related Items (1)

Acceleration of Convergence of Fourier Series Using the Phenomenon of Over-Convergence

Uses Software

• Mathematica

Cites Work

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• Gibbs phenomenon and its removal for a class of orthogonal expansions
• Accelerating the convergence of trigonometric series
• On an auto-correction phenomenon of the Krylov-Gottlieb-Eckhoff method
• Computational Techniques Based on the Lanczos Representation
• Asymptotic behavior of Eckhoff’s method for Fourier series convergence acceleration
• Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions
• On the Gibbs Phenomenon and Its Resolution
• Accelerating convergence of trigonometric approximations

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