Some observations on Gauss-Legendre quadrature error estimates for analytic functions
نویسندگان
چکیده
منابع مشابه
Error Estimates for Gauss Quadrature Formulas for Analytic Functions
1. 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 discu...
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Error estimates are a very important aspect of numerical integration. It is desirable to know what level of truncation error might be expected for a given number of integration points. Here, we determine estimates for the truncation error when Gauss-Legendre quadrature is applied to the numerical evaluation of two dimensional integrals which arise in the boundary element method. Two examples ar...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1981
ISSN: 0377-0427
DOI: 10.1016/0771-050x(81)90009-7