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 
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.