An investigation of resolution of 2-variate Gibbs phenomenon

DOI10.1016/j.amc.2008.05.128zbMath1159.65110OpenAlexW2048400570MaRDI QIDQ2378982

Ali Abdi, Mohammed Hosseini Ali Abadi

Publication date: 14 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.05.128

zbMATH Keywords

numerical experimentsGibbs phenomenonGegenbauer polynomialChebyshev polynomialFourier approximationbivariate functioninverse polynomial reconstruction method

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier series and coefficients in several variables (42B05)

Related Items (2)

Analytical solutions of linear delay-differential equations with Dirac delta function inputs using the Laplace transform ⋮ A Hybrid Method for the Resolution of the Gibbs Phenomenon

Cites Work

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• Reconstruction of a Piecewise Constant Function from Noisy Fourier Coefficients by Padé Method
• 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
• A Padé-based algorithm for overcoming the Gibbs phenomenon

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