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EntityQ722507· pop 32· linked from 92 articles

Simpson's rule

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numerical integration

In the Vinony graph

Within Vinony's link graph, Simpson's rule is referenced by 92 other articles, and connects out to trapezoidal rule, statistics and Johannes Kepler.

It is catalogued under topics including Integral calculus, Numerical analysis and Numerical integration.

Its subject is documented across 31 Wikipedia language editions.

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Simpson's rule
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Encyclopedic overview

Simpson's rule can be derived by approximating the integrand f (x) (in blue) by the quadratic interpolant P(x) (in red).

An animation showing how Simpson's rule approximates the function with a parabola and the reduction in error with decreased step size An animation showing how Simpson's rule approximation improves with more subdivisions.

Excerpted from Wikipedia’s “Simpson's rule” article, available under the CC BY-SA 4.0 licence.

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