Bounding the Lebesgue constant for a barycentric rational trigonometric interpolant at periodic well-spaced nodes
From MaRDI portal
Publication:2043168
DOI10.1016/j.cam.2021.113664zbMath1469.42007OpenAlexW3175847940MaRDI QIDQ2043168
Jean-Paul Berrut, Giacomo Elefante
Publication date: 29 July 2021
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.2021.113664
Trigonometric interpolation (42A15) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items (3)
A barycentric trigonometric Hermite interpolant via an iterative approach ⋮ Fast barycentric rational interpolations for complex functions with some singularities ⋮ A linear barycentric rational interpolant on starlike domains
Cites Work
- Unnamed Item
- Bounding the Lebesgue constant for Berrut's rational interpolant at general nodes
- On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
- Baryzentrische Formeln zur Trigonometrischen Interpolation. I
- Baryzentrische Formeln zur trigonometrischen Interpolation. II: Stabilität und Anwendung auf die Fourieranalyse bei ungleichabständigen Stützstellen
- Rational functions for guaranteed and experimentally well-conditioned global interpolation
- Barycentric formulas for interpolating trigonometric polynomials and their conjugates
- Mappings and accuracy for Chebyshev pseudo-spectral approximations
- A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
- A note on some Lebesgue constants
- Interpolation by rational functions with nodes on the unit circle
- Some results on linear rational trigonometric interpolation
- A periodic map for linear barycentric rational trigonometric interpolation
- A new map for the Chebyshev pseudospectral solution of differential equations with large gradients
- Barycentric rational interpolation with no poles and high rates of approximation
- Exponential convergence of a linear rational interpolant between transformed Chebyshev points
- Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness
- On the numerical stability of the second barycentric formula for trigonometric interpolation in shifted equispaced points
This page was built for publication: Bounding the Lebesgue constant for a barycentric rational trigonometric interpolant at periodic well-spaced nodes