Iterative methods based on spline approximations to detect discontinuities from Fourier data
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Publication:989135
DOI10.1016/j.cam.2010.04.027zbMath1407.65021OpenAlexW1967941147MaRDI QIDQ989135
Alvaro Rodolfo de Pierro, Ana Gabriela Martínez
Publication date: 27 August 2010
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.2010.04.027
Numerical computation using splines (65D07) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Spline approximation (41A15) Numerical methods for trigonometric approximation and interpolation (65T40)
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- Error estimates for two filters based on polynomial interpolation for recovering a function from its Fourier coefficients
- Detection of edges from spectral data: new results
- Family of spectral filters for discontinuous problems
- On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
- A practical guide to splines
- Detection of edges in spectral data
- Exponentially accurate approximations to periodic Lipschitz functions based on Fourier series partial sums
- Locating discontinuities of a bounded function by the partial sums of its Fourier series
- Adaptive edge detectors for piecewise smooth data based on the minmod limiter
- Detection of Edges in Spectral Data II. Nonlinear Enhancement
- Reconstruction of a compactly supported function from the discrete sampling of its Fourier transform
- Polynomial spline signal approximations: filter design and asymptotic equivalence with Shannon's sampling theorem
- On the Gibbs Phenomenon and Its Resolution
- Approximating Functions From Sampled Fourier Data Using Spline Pseudofilters
- Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions
- Iterative methods based on polynomial interpolation filters to detect discontinuities and recover point values from Fourier data
- A hybrid approach to spectral reconstruction of piecewise smooth functions
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