Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon
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Publication:1768391
DOI10.1007/s11075-004-2843-6zbMath1071.42003OpenAlexW2059757992MaRDI QIDQ1768391
Publication date: 15 March 2005
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-004-2843-6
Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical summation of series (65B10) Conjugate functions, conjugate series, singular integrals (42A50)
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Cites Work
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- Padé-type approximation and general orthogonal polynomials
- Sequence transformations and their applications
- Extrapolation methods theory and practice
- Spectral approximation for elliptic boundary value problems
- Detection of edges in spectral data
- Padé--Jacobi filtering for spectral approximations of discontinuous solutions
- The \(\varepsilon\)-algorithm allows to detect Dirac delta functions.
- Computational aspects of linear control
- Gibbs' phenomenon for Fourier-Bessel series
- Lectures on summability
- On the Gibbs Phenomenon and Its Resolution
- A Method for the Approximation of Functions Defined by Formal Series Expansions in Orthogonal Polynomials
- Nonlinear Padé approximants for Legendre series
- Analysis of Some Padé--Chebyshev Approximants
- A Padé-based algorithm for overcoming the Gibbs phenomenon
- Recursive computation of Padé-Legendre approximants and some acceleration properties.