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Simpson's Second Rule - 4-Ordinate Integrator

Area under a curve sampled at four equally-spaced ordinates using Simpson's second (3/8) rule - used when ordinate count is a multiple of 3 + 1.

SimpsonIntegrationNaval Arch
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Formula, assumptions, and limits

A=3h8(y0+3y1+3y2+y3)A = \frac{3h}{8}(y_0 + 3y_1 + 3y_2 + y_3)
SymbolMeaningUnit
yiy_iOrdinatem
hhInterval widthm

Source: Rawson & Tupper - Basic Ship Theory

In short

Area under a curve sampled at four equally-spaced ordinates using Simpson's second (3/8) rule - used when ordinate count is a multiple of 3 + 1.

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