On a class of modified Newton—Cotes quadrature formulae based upon mixed-type interpolation
نویسندگان
چکیده
منابع مشابه
On Spectral Accuracy of Quadrature Formulae Based on Piecewise Polynomial Interpolation
Abstract. It is well-known that the trapezoidal rule, while being only second-order accurate in general, improves to spectral accuracy if applied to the integration of a smooth periodic function over an entire period on a uniform grid. More precisely, for the function that has a square integrable derivative of order r the convergence rate is o ( N−(r−1/2) ) , where N is a number of grid nodes. ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1990
ISSN: 0377-0427
DOI: 10.1016/0377-0427(90)90034-w