JOURNAL ARTICLE

Error estimates for Gauss quadrature formulas for analytic functions

M. M. ChawlaManoj Jain

Year: 1968 Journal:   Mathematics of Computation Vol: 22 (101)Pages: 82-90   Publisher: American Mathematical Society

Abstract

Introduction.The estimation of quadrature errors for analytic functions has been considered by Davis and Rabinowitz [1].An estimate for the error of the Gaussian quadrature formula for analytic functions was obtained by Davis [2].McNamee [3] has also discussed the estimation of error of the Gauss-Legendre quadrature for analytic functions.Convergence of the Gaussian quadratures was discussed by Barrett [4].

Keywords:
Mathematics Gauss–Kronrod quadrature formula Quadrature (astronomy) Gaussian quadrature Tanh-sinh quadrature Applied mathematics Gauss–Jacobi quadrature Clenshaw–Curtis quadrature Gauss–Laguerre quadrature Gauss Numerical integration Gauss–Hermite quadrature Calculus (dental) Mathematical analysis Nyström method Integral equation

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3.99
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8
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0.94
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Citation History

Topics

Numerical methods in inverse problems
Physical Sciences →  Mathematics →  Mathematical Physics
Mathematical functions and polynomials
Physical Sciences →  Mathematics →  Applied Mathematics
Statistical and numerical algorithms
Physical Sciences →  Mathematics →  Applied Mathematics

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