Newton-Cotes Type Quadrature Formulas with Terminal Corrections
نویسندگان
چکیده
منابع مشابه
Error of the Newton-Cotes and Gauss-Legendre Quadrature Formulas
Abstract. It was shown by P. J. Davis that the Newton-Cotes quadrature formula is convergent if the integrand is an analytic function that is regular in a sufficiently large region of the complex plane containing the interval of integration. In the present paper, a bound on the error of the Newton-Cotes quadrature formula for analytic functions is derived. Also the bounds on the Legendre polyno...
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In order to approximate the integral I( f ) = ∫ b a f (x)dx, where f is a sufficiently smooth function, models for quadrature rules are developed using a given panel of n (n ≥ 2) equally spaced points. These models arise from the undetermined coefficients method, using a Newton’s basis for polynomials. Although part of the final product is algebraically equivalent to the well known closed Newto...
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 1962
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/5.3.230