A linear barycentric rational interpolant on starlike domains

DOI10.1553/etna_vol55s726OpenAlexW3154174674MaRDI QIDQ2079458

Giacomo Elefante, Jean-Paul Berrut

Publication date: 30 September 2022

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09246

zbMATH Keywords

trigonometric interpolationconformal mapsLebesgue constantbarycentric rational interpolationstarlike domains

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Approximation by rational functions (41A20) Numerical interpolation (65D05) Approximation by polynomials (41A10)

Related Items

A barycentric trigonometric Hermite interpolant via an iterative approach ⋮ Fast barycentric rational interpolations for complex functions with some singularities

Uses Software

• Chebfun
• AAA

Cites Work

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• Tensor numerical methods in scientific computing
• Multivariate rational interpolation
• Error formulas for multivariate rational interpolation and Padé approximation
• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• Mappings and accuracy for Chebyshev pseudo-spectral approximations
• Ableitungsfreie Abschätzungen bei trigonometrischer Interpolation und Konjugierten-Bestimmung
• Adaptive point shifts in rational approximation with optimized denominator.
• Some results on linear rational trigonometric interpolation
• Bounding the Lebesgue constant for a barycentric rational trigonometric interpolant at periodic well-spaced nodes
• Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm
• Polynomial interpolation via mapped bases without resampling
• A periodic map for linear barycentric rational trigonometric interpolation
• Multivariate approximation at fake nodes
• Spline Functions
• Barycentric Interpolation
• Extension of Chebfun to Periodic Functions
• Multivariate Rational Approximation
• Some New Aspects of Rational Interpolation
• Exponential convergence of a linear rational interpolant between transformed Chebyshev points
• The Conditioning of a Linear Barycentric Rational Interpolant
• The AAA Algorithm for Rational Approximation