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Newton–Cotes formulas: Revision history


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  • curprev 05:5505:55, 3 December 2021Ted.tem.parker talk contribs 9,242 bytes −17 Deleted "trapezoidal method" as the common name of the open n=2 formula because I couldn't find any usage of that phrase and it risks confusion with the "trapezoidal rule", which is a different Newton-Cotes formula undo

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  • curprev 19:5719:57, 12 May 20212806:107e:1d:16e0:9996:c553:b685:9a71 talk 9,260 bytes −95 Simplified the fraction in the error term of Milne's Rule from 28/90 to 14/45. Also corrected the paragraph where it was stated that the degree (referring to the order) of the derivative gives the maximum polynomial degree for which each rule is exact, which is false. It's not hard to see that the Trapezoid Rule fails to be exact for quadratics, and also Simpson's rules fail to be exact for quartics. I strongly suggest to add citations for these facts from a book on Numerical Analysis. undo Tag: Visual edit

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