An SVD analysis of equispaced polynomial interpolation
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Publication:2271403
DOI10.1016/j.apnum.2009.05.012zbMath1175.65020OpenAlexW2026174126MaRDI QIDQ2271403
Publication date: 7 August 2009
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2009.05.012
numerical examplespolynomial interpolationRunge phenomenonsingular value decomposition (SVD) analysis
Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Real polynomials: analytic properties, etc. (26C05)
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Cites Work
- Robust reprojection methods for the resolution of the Gibbs phenomenon
- Reconstruction of piecewise smooth functions from non-uniform grid point data
- Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid
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- Two results on polynomial interpolation in equally spaced points
- Defeating the Runge phenomenon for equispaced polynomial interpolation via Tikhonov regularization
- Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations
- The Runge phenomenon and spatially variable shape parameters in RBF interpolation
- Singular value decomposition and least squares solutions
- On the Runge Example
- On the Early History of the Singular Value Decomposition
- On the Gibbs Phenomenon and Its Resolution
- Calculating the Singular Values and Pseudo-Inverse of a Matrix
- Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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