Algorithms and convergence for Hermite interpolation based on extended Chebyshev nodal systems

DOI10.1016/j.amc.2014.02.027zbMath1303.65004OpenAlexW2127887032MaRDI QIDQ470772

J. R. Illán-González, J. Díaz, Alicia Cachafeiro, Elías Berriochoa

Publication date: 13 November 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.027

zbMATH Keywords

convergenceChebyshev polynomialsHermite-Fejér interpolationHermite interpolationbarycentric expressions

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (5)

Gibbs phenomenon in the Hermite interpolation on the circle ⋮ A note on the rate of convergence for Chebyshev-Lobatto and Radau systems ⋮ A treecode based on barycentric Hermite interpolation for electrostatic particle interactions ⋮ Algorithms, convergence and rate of convergence for an interpolation model between Lagrange and Hermite ⋮ Unnamed Item

Cites Work

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• An extension of Fejér's condition for Hermite interpolation
• Some improvements to the Hermite-Fejér interpolation on the circle and bounded interval
• Hermite interpolation: The barycentric approach
• Barycentric formulas for interpolating trigonometric polynomials and their conjugates
• Rate of convergence of Hermite-Fejér interpolation on the unit circle
• On quasi-Hermite-Fejér interpolation
• The numerical stability of barycentric Lagrange interpolation
• A Graduate Introduction to Numerical Methods
• A note on Hermite-Fejér interpolation for the unit circle

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