Simpson's rule

Simpson's rule
noun Etymology: Thomas Simpson died 1761 English mathematician Date: circa 1875 a method for approximating the area under a curve over a given interval that involves partitioning the interval by an odd number n + 1 of equally spaced ordinates and adding the areas of the n/2 figures formed by pairs of successive odd-numbered ordinates and the parabolas which they determine with their included even-numbered ordinates

New Collegiate Dictionary. 2001.

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  • Simpson's rule — can be derived by approximating the integrand f (x) (in blue) by the quadratic interpolant P (x) (in red). In numerical analysis, Simpson s rule is a method for numerical integration, the numerical approximation of definite integrals.… …   Wikipedia

  • simpson's rule — noun Usage: usually capitalized S Etymology: after Thomas Simpson died 1761 English mathematician : a method used especially by naval architects for computing the approximate area bounded by a curve by adding the areas of a series of figures… …   Useful english dictionary

  • Simpson's rule — Math. a method for approximating the value of a definite integral by approximating, with parabolic arcs, the area under the curve defined by the integrand. [1895 1900; named after Thomas Simpson (1710 61), English mathematician] * * * …   Universalium

  • Simpson's paradox — (or the Yule Simpson effect) is a statistical paradox wherein the successes of groups seem reversed when the groups are combined. This result is often encountered in social and medical science statistics [cite journal title = Simpson s Paradox in …   Wikipedia

  • Simpson's-in-the-Strand — is one of London s most renowned traditional English restaurants, and banqueting suites. Situated in one of the capital s famous streets, The Strand, it is part of the Savoy Buildings, which include possibly the world s most famous hostelry, the… …   Wikipedia

  • Thorson's rule — (named after Gunnar Thorson by S. A. Mileikovsky in 1971)Mileikovsky, S. A. 1971. Types of larval development in marine bottom invertebrates, their distribution and ecological significance: a reevaluation. Marine Biology 19: 193 213] states that… …   Wikipedia

  • Adaptive Simpson's method — Adaptive Simpson s method, also called adaptive Simpson s rule, is a method of numerical integration proposed by William M. McKeeman in 1962.William M. McKeeman: Algorithm 145: Adaptive numerical integration by Simpson s rule. Commun. ACM 5(12):… …   Wikipedia

  • Simpson — may refer to:* Simpson (name)In places:*In Australia: **Simpson Desert*In Canada: **Simpson, Saskatchewan*In the United Kingdom **Simpson, Buckinghamshire* In the United States **Simpson, Illinois **Simpson, Indiana **Simpson, Kansas **Simpson,… …   Wikipedia

  • Simpson , Thomas — (1710–1761) British mathematician The son of a weaver from Market Bosworth in Leicestershire, Simpson was largely self educated. His mathematical interests were aroused when a peddler gave him a copy of the popular textbook, Cocker s Arithmetic.… …   Scientists

  • Trapezoidal rule — This article is about the quadrature rule for approximating integrals. For the Explicit trapezoidal rule for solving initial value problems, see Heun s method. The function f(x) (in blue) is approximated by a linear function (in red). In… …   Wikipedia

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