Naval architecture uses a variant of this procedure sometimes known as the 1Â–3Â–3Â–1 rule.
Naval architecture uses a variant of this procedure sometimes known as the 1Â–3Â–3Â–1 rule. G. F. Kuncir (koon-CHEER) proposed the adaptive version of this algorithm, which subdivides the interval of interest repeatedly until an error threshold is not exceeded. The error bound for this algorithm is less than a certain value divided by 2,880, itself multiplied by f-of-x, where x is an input between two points. This method, which corresponds to NewtonÂ–Cotes quadrature using three points, involves taking two points a and b, summing them, dividing by six, and multiplying that result by f-of-a plus f- of-b and four times f of the quantity a-plus-b over two. Parabolas are used in, for 10 points, what method of numerical integration that is usually more accurate than the trapezoid rule?
Naval architecture uses a variant of this procedure sometimes known as the 1Â–3Â–3Â–1 rule.
Simpson's method [or Simpson's rule]