trapezoid rule


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trapezoid rule

n
(Mathematics) a rule for estimating the area of an irregular figure, by dividing it into parallel strips of equal width, each strip being a trapezium. It can also be adapted to obtaining an approximate value of a definite integral
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References in periodicals archive ?
The system velocity during BSQ was calculated by integrating the acceleration data from the force-time data using the trapezoid rule, and the period of standing position was defined as the mean ground reaction force for 1 second during the standing position.
The duration of the deceleration sub-phase was termed "deceleration sub-phase duration," and the duration of the acceleration sub-phase was termed "acceleration sub-phase duration." The 'negative impulse during the deceleration sub-phase' represents the area under force-time curve (Brady et al., 2017) and was calculated by integrating the force and duration using the tr trapezoid rule. A definition of the deceleration sub-phase during BSQ is shown in Figure 1.
From a different view point, the problem of approximating the Stieltjes integral [[integral].sub.a.sup.b]f(x)du(x) by the generalized trapezoid rule [(u(b) - u(x))f (b) + (u(x) - u(a))f (a)] was considered by Dragomir et al.