Extensions of Clenshaw-Curtis-type rules to integrals over a semi-infinite interval

DOI10.1007/s11075-021-01177-8zbMath1490.65043OpenAlexW3188676516WikidataQ114224292 ScholiaQ114224292MaRDI QIDQ2129622

Takemitsu Hasegawa, Sugiura, Hiroshi

Publication date: 22 April 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01177-8

zbMATH Keywords

extended Clenshaw-Curtis rulesintegral on an unbounded intervallimit formulae of truncated rules

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (2)

An automatic quadrature method for semi-infinite integrals of exponentially decaying functions and its Matlab code ⋮ Two formulae with nodes related to zeros of Bessel functions for semi-infinite integrals: extending Gauss-Jacobi-type rules

Uses Software

• DLMF

Cites Work

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• On a corrected Fejér quadrature formula of the second kind
• A method for numerical integration on an automatic computer
• Summary of Sinc numerical methods
• A truncated Clenshaw-Curtis formula approximates integrals over a semi-infinite interval
• Error estimate for a corrected Clenshaw-Curtis quadrature rule
• The kink phenomenon in Fejér and Clenshaw-Curtis quadrature
• Fast construction of the Fejér and Clenshaw-Curtis quadrature rules
• Angenäherte Tschebyscheff-Approximation einer Stammfunktion des Verfahrens von Clenshaw und Curtis
• Towards a General Error Theory of the Trapezoidal Rule
• Is Gauss Quadrature Better than Clenshaw–Curtis?

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