Estimation of errors in the numerical quadrature of analytic functions

DOI10.1080/00036817108839015zbMath0225.65026OpenAlexW2088333853WikidataQ58246008 ScholiaQ58246008MaRDI QIDQ5632028

Masatake Mori, Hidetosi Takahasi

Publication date: 1971

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817108839015

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Error analysis and interval analysis (65G99)

Related Items (9)

The numerical evaluation of one-dimensional Cauchy principal value integrals ⋮ Stable application of Filon-Clenshaw-Curtis rules to singular oscillatory integrals by exponential transformations ⋮ The kink phenomenon in Fejér and Clenshaw-Curtis quadrature ⋮ Exponential node clustering at singularities for rational approximation, quadrature, and PDEs ⋮ Modified quadrature formulas for functions with nearby poles ⋮ The Gauss-Hermite numerical integration method for the solution of the plane elastic problem of semiinfinite periodic cracks ⋮ Gauss--Hermite Quadrature for the Bromwich Integral ⋮ Quadrature formulas obtained by variable transformation ⋮ On The Use of Conformal Maps for the Acceleration of Convergence of the Trapezoidal Rule and Sinc Numerical Methods

Cites Work

• Convergence Properties of Gaussian Quadrature Formulae
• Unnamed Item

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