Simpson's First Rule - Area Integrator
Compute area under a curve sampled at three equally-spaced ordinates using Simpson's first rule - the building block for every naval-architecture volume, area and centroid integration.
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Formula, assumptions, and limits
| Symbol | Meaning | Unit |
|---|---|---|
| Ordinate at station i | m | |
| Common interval | m |
Source: Bowditch Pub. 9 - Chap. 10; K.J. Rawson & E.C. Tupper - Basic Ship Theory Vol. 1
In short
Compute area under a curve sampled at three equally-spaced ordinates using Simpson's first rule - the building block for every naval-architecture volume, area and centroid integration.