A New Method for High-Degree Spline Interpolation: Proof of Continuity for Piecewise Polynomials

DOI10.4153/S0008439519000742zbMath1447.41002OpenAlexW2995994084WikidataQ126531353 ScholiaQ126531353MaRDI QIDQ5118452

Alexandre Pepin, Steven S. Beauchemin, Sophie Léger, Normand Beaudoin

Publication date: 8 September 2020

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439519000742

zbMATH Keywords

continuityFFTsplinediscrete Fourier transformDFTnumerical derivative

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Numerical methods for discrete and fast Fourier transforms (65T50) Spline approximation (41A15)

Cites Work

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• A practical guide to splines
• A note on the determinant of a Toeplitz-Hessenberg matrix
• Eulerian Polynomials: From Euler’s Time to the Present
• Fibonacci Determinants
• Eulerian Numbers
• A new numerical fourier transform in d-dimensions
• The 𝐬-Eulerian polynomials have only real roots

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