Higher-order Newton-Cotes rules with end corrections

DOI10.1016/j.apnum.2014.10.004zbMath1302.65064OpenAlexW1990484383MaRDI QIDQ477712

Juan C. Aguilar

Publication date: 9 December 2014

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.10.004

zbMATH Keywords

quadrature ruletrapezoidal rulecorrection coefficientend correctionmidpoint ruleNewton-Cotes quadrature rules

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Cites Work

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• On quadrature formulas with end corrections
• Quadrature rules with Gregory-Laplace end corrections
• A high-order, fast algorithm for scattering calculation in two dimensions
• Quadrature methods based on the Clenshaw-Curtis method of integration
• High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
• On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
• On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
• Efficient quadrature of highly oscillatory integrals using derivatives

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