Eliminating the unbounded behavior of function derivative expansions in terms of sinc bases

DOI10.1016/j.amc.2015.06.130zbMath1410.41014OpenAlexW1013360277MaRDI QIDQ668193

Adel A. K. Mohsen

Publication date: 18 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.130

zbMATH Keywords

interpolationspectral expansionsinc expansionfunction derivatives

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Related Items (1)

Accurate function sinc interpolation and derivative estimations over finite intervals

Uses Software

• Chebfun
• Sinc-Pack

Cites Work

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• Polynomial function and derivative approximation of Sinc data
• Barycentric formulae for cardinal (sinc-) interpolants
• Roundoff error in computing derivatives using the Chebyshev differentiation matrix
• Summary of Sinc numerical methods
• Recent advances in linear barycentric rational interpolation
• Barycentric rational interpolation with no poles and high rates of approximation
• A sinc-collocation method with boundary treatment for two-dimensional elliptic boundary value problems
• Boundary reduction technique and rational Sinc domain decomposition method
• New Exponential Variable Transform Methods for Functions with Endpoint Singularities
• Barycentric Interpolation
• A Sinc Function Analogue of Chebfun
• Cardinal-Type Approximations of a Function and Its Derivatives
• Spectral Differencing with a Twist
• Improved Approximation via Use of Transformations
• An Extension of the Floater–Hormann Family of Barycentric Rational Interpolants

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