Revisited optimal error bounds for interpolatory integration rules

DOI10.1155/2016/3170595zbMath1422.65055DBLPjournals/ana/Dubeau16OpenAlexW2556362882WikidataQ59123144 ScholiaQ59123144MaRDI QIDQ1750806

François Dubeau

Publication date: 23 May 2018

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/3170595

Mathematics Subject Classification ID

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

Uses Software

• Mulprec

Cites Work

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• New integration formulas which use nodes outside the integration interval
• Unified error bounds for all Newton-Cotes quadrature rules
• Quadrature formulae
• Unified Proofs of the Error Estimates for the Midpoint, Trapezoidal, and Simpson's Rules
• Error bounds for Gaussian quadrature rules using linear kernels
• An Elementary Proof of the Error Estimates in Simpson's Rule
• Elementary Proofs of Error Estimates for the Midpoint and Simpson's Rules
• An Elementary Proof of Error Estimates for the Trapezoidal Rule
• Simpson's Rule Is Exact for Quintics

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