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Gaussian Quadrature

An n-point Gaussian quadrature rule, named after Carl Friedrich Gauss, is a . degree, so that both will be orthogonal to pn(x), by the defining property of pn(x).

Gaussian Quadrature is described in multiple online sources, as addition to our editors' articles, see section below for printable documents, Gaussian Quadrature books and related discussion.

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integration rule is called Gaussian quadrature. In fact, the nodes and weights are not found by solv- ing this system.
Lecture 26: More on Gaussian Quadrature [draft] 4.4.3. Examples of
Orthogonal Polynomials and Gaussian Quadrature
Feb 16, 2008 Gaussian quadrature seems too good to be true.
Orthogonal polynomials and Gaussian quadrature
Gauss quadrature. Most common weight function w(x) ≡ 1 on interval [−1, 1]. ( approximation of integral ∫.
GAUSSIAN QUADRATURE (1) • Objective: Approximate an integral
GAUSSIAN QUADRATURE (1). • Objective: Approximate an integral as a sum. ∫ b a f(x)w(x)dx ≈ m−1.

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Gaussian quadrature - Wikipedia, the free encyclopedia
"Gaussian integration" redirects here. For the integral of a Gaussian function, see Gaussian integral.
Gaussian Quadrature
Gaussian Quadrature. The numerical integration methods described so far are based on a rather simple choice of evaluation points for the function f(x).
Gaussian Quadrature -- from Wolfram MathWorld
-point Gaussian quadrature formulas are precisely the roots of the orthogonal polynomial for the same interval and weighting function.
Gaussian Quadrature - YouTube
Jul 8, 2009 http://demonstrations.wolfram.
Gauss Quadrature Rule: Integration

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