Simpson's rule

American  

noun

Mathematics.

1. a method for approximating the value of a definite integral by approximating, with parabolic arcs, the area under the curve defined by the integrand.

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Etymology

Origin of Simpson's rule

1895–1900; named after Thomas Simpson (1710–61), English mathematician

Example Sentences

Figure 3.16 With Simpson’s rule, we approximate a definite integral by integrating a piecewise quadratic function.

From Textbooks • Mar. 30, 2016

This bound indicates that the value obtained through Simpson’s rule is exact.

From Textbooks • Mar. 30, 2016

Simpson’s rule approximates the definite integral by first approximating the original function using piecewise quadratic functions.

From Textbooks • Mar. 30, 2016

The most commonly used techniques for numerical integration are the midpoint rule, trapezoidal rule, and Simpson’s rule.

From Textbooks • Mar. 30, 2016

Use Simpson’s rule with n = 6 subdivisions to estimate the length of the ellipse when a = 2 and e = 1/3.

From Textbooks • Mar. 30, 2016