Quadrature rules using an arbitrary fixed order of derivatives

DOI10.1016/j.camwa.2009.01.011zbMath1186.65027OpenAlexW1970854070MaRDI QIDQ971620

M. R. Eslahchi, Mehdi Dehghan

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.011

zbMATH Keywords

orthogonal polynomialsintegration by partsGauss quadrature formulaNewton-cotes integration rulesprecision degree of quadrature formula

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items (4)

On the Birkhoff quadrature formulas using even and odd order of derivatives ⋮ Error asymptotic expansion for the numerical approximation of logarithmic-kernel integral equations on closed curves ⋮ Application of Taylor series in obtaining the orthogonal operational matrix ⋮ The weighted \((0,1,\dots, m -2,m)\)-interpolation technique based on the roots of the classical orthogonal polynomials and application in deriving new quadrature rules

Cites Work

• Interpolation and approximation by polynomials
• Quadrature formulae
• On the Monotonicity of Certain Riesz Means
• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders
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