The Influence of Jumps on the Sinc Interpolant, and Ways to Overcome It

DOI10.1007/978-3-030-49716-3_12zbMath1474.41002OpenAlexW3192679691MaRDI QIDQ3382748

Jean-Paul Berrut

Publication date: 21 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-49716-3_12

zbMATH Keywords

finite differenceserror formulajump singularitiesrational sinc interpolantssinc interpolant

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Cites Work

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• A formula for the error of finite sinc interpolation with an even number of nodes
• A circular interpretation of the Euler-Maclaurin formula.
• First applications of a formula for the error of finite sinc interpolation
• A formula for the error of finite sinc-interpolation over a finite interval
• Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants
• A Sinc Function Analogue of Chebfun
• A Practical Guide to Pseudospectral Methods

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