numerical quadrature

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• Numerical integration — consists of finding numerical approximations for the value S In numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also… …   Wikipedia

• Numerical analysis — Babylonian clay tablet BC 7289 (c. 1800–1600 BC) with annotations. The approximation of the square root of 2 is four sexagesimal figures, which is about six decimal figures. 1 + 24/60 + 51/602 + 10/603 = 1.41421296...[1] Numerical analysis is the …   Wikipedia

• Numerical differentiation — is a technique of numerical analysis to produce an estimate of the derivative of a mathematical function or function subroutine using values from the function and perhaps other knowledge about the function. Contents 1 Finite difference formulae 1 …   Wikipedia

• Quadrature — Quadrature, derived from Latin quadrare , may refer to:In signal processing: *Quadrature amplitude modulation (QAM), a modulation method of using both a carrier wave and a quadrature carrier wave that is 90° out of phase with the main carrier… …   Wikipedia

• quadrature — /kwod reuh cheuhr, choor /, n. 1. the act of squaring. 2. Math. a. the act or process of finding a square equal in area to a given surface, esp. a surface bounded by a curve. b. the act or process of finding an area or calculating an integral,… …   Universalium

• List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

• Clenshaw–Curtis quadrature — and Fejér quadrature are methods for numerical integration, or quadrature , that are based on an expansion of the integrand in terms of Chebyshev polynomials. Equivalently, they employ a change of variables x = cos θ and use a discrete… …   Wikipedia

• Tanh-sinh quadrature — is a method for numerical integration introduced by Hidetosi Takahasi and Masatake Mori in 1974.[1] It uses the change of variables to transform an integral on the interval x ∈ (−1, +1) to an integral on the entire real line… …   Wikipedia

• Gauss–Kronrod quadrature formula — In numerical mathematics, the Gauss–Kronrod quadrature formula is a method for numerical integration (calculating approximate values of integrals). Gauss–Kronrod quadrature is a variant of Gaussian quadrature, in which the evaluation points are… …   Wikipedia

• Gaussian quadrature — In numerical analysis, a quadrature rule is an approximation of the definite integral of a function, usually stated as a weighted sum of function values at specified points within the domain of integration.(See numerical integration for more on… …   Wikipedia

• NAG Numerical Libraries — is a software product sold by The Numerical Algorithms Group Ltd (a non profit company). The product is a software library of numerical analysis routines. It comprises a collection of 1500 mathematical and statistical algorithms. Areas covered… …   Wikipedia