quadrature method

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• 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 booster — A quadrature booster, also known as a phase shifting transformer or more simply a quad booster, is a specialised form of transformer used to control the flow of real power on three phase electricity transmission networks. For an alternating… …   Wikipedia

• Method of exhaustion — This article is about the method of finding the area of a shape using limits. For the method of proof, see Proof by exhaustion. The method of exhaustion (methodus exhaustionibus, or méthode des anciens) is a method of finding the area of a shape… …   Wikipedia

• Chebyshev–Gauss quadrature — In numerical analysis Chebyshev–Gauss quadrature is an extension of Gaussian quadrature method for approximating the value of integrals of the following kind: and In the first case where …   Wikipedia

• Gauss–Laguerre quadrature — In numerical analysis Gauss–Laguerre quadrature is an extension of Gaussian quadrature method for approximating the value of integrals of the following kind::int {0}^{+infty} e^{ x} f(x),dx.In this case :int {0}^{+infty} e^{ x} f(x),dx approx sum …   Wikipedia

• Gauss–Hermite quadrature — In numerical analysis, Gauss–Hermite quadrature is an extension of Gaussian quadrature method for approximating the value of integrals of the following kind::int { infty}^{+infty} e^{ x^2} f(x),dx.In this case :int { infty}^{+infty} e^{ x^2} f(x) …   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

• Adaptive quadrature — In applied mathematics, adaptive quadrature is a process in which the integral of a function f(x) is approximated using static quadrature rules on adaptively refined subintervals of the integration domain. Generally, adaptive algorithms are just… …   Wikipedia

• Chebyshev pseudospectral method — The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high accuracy… …   Wikipedia

• The Quadrature of the Parabola — is a treatise on geometry, written by Archimedes in the 3rd century B.C. Written as a letter to his friend Dositheus, the work presents 24 propositions regarding parabolas, culminating in a proof that the area of a parabolic segment (the region… …   Wikipedia