Locating discontinuities of a bounded function by the partial sums of its Fourier series

DOI10.1023/A:1023204330916zbMath0958.65146OpenAlexW123388844MaRDI QIDQ1580937

Thomas M. Hagstrom, Henry D. Shapiro, George Kvernadze

Publication date: 10 April 2001

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023204330916

zbMATH Keywords

complexityalgorithmstabilitynumerical examplesFourier serieslocations of discontinuities

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Complexity and performance of numerical algorithms (65Y20)

Related Items (11)

Detection of edges from spectral data: new results ⋮ Gibbs phenomenon removal by adding Heaviside functions ⋮ Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm ⋮ Gibbs phenomenon for Fourier partial sums on \(\mathbb{Z}_p\) ⋮ On the jump behavior of distributions and logarithmic averages ⋮ On determination of jumps in terms of Abel-Poisson mean of Fourier series ⋮ Iterative methods based on spline approximations to detect discontinuities from Fourier data ⋮ Approximation of the singularities of a bounded function by the partial sums of its differentiated Fourier series ⋮ Approximating the jump discontinuities of a function by its Fourier-Jacobi coefficients ⋮ Detecting the singularities of a function of \(V_p\) class by its integrated Fourier series ⋮ Determination of jumps of distributions by differentiated means

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