In numerical analysis, an n-point Gaussian quadrature rule, named after Carl Friedrich Gauss, is a quadrature rule constructed to yield an exact result...
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In numerical analysis Chebyshev–Gauss quadrature is an extension of Gaussian quadrature method for approximating the value of integrals of the following...
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In numerical analysis, Gauss–Legendre quadrature is a form of Gaussian quadrature for approximating the definite integral of a function. For integrating...
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kinds of Chebyshev nodes. The n {\displaystyle n} Chebyshev nodes of the first kind, also called the Chebyshev–Gauss nodes or Chebyshev zeros, are...
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Gauss–Legendre quadrature is a special case of Gauss–Jacobi quadrature with α = β = 0. Similarly, the Chebyshev–Gauss quadrature of the first (second) kind arises...
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Clenshaw–Curtis quadrature and Fejér quadrature are methods for numerical integration, or "quadrature", that are based on an expansion of the integrand...
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Johann Carl Friedrich Gauss (/ɡaʊs/ ; German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German...
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directly to the method of Clenshaw–Curtis quadrature. These polynomials were named after Pafnuty Chebyshev. The letter T is used because of the alternative...
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nearly as accurate as Gauss quadrature. This breakthrough result opened the door for a covector mapping theorem for Chebyshev PS methods. A complete...
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rule Gaussian quadrature — highest possible degree with given number of points Chebyshev–Gauss quadrature — extension of Gaussian quadrature for integrals...
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form" Chebyshev norm Discrete Chebyshev polynomials Discrete Chebyshev transform Chebyshev rational functions Chebyshev–Gauss quadrature Chebyshev–Markov–Stieltjes...
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scarcely recognizable form, and studied in detail by Pafnuty Chebyshev in 1859. Chebyshev's work was overlooked, and they were named later after Charles...
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collocation at the Chebyshev–Gauss–Lobatto (CGL) points. An enhancement to the Chebyshev pseudospectral method that uses a Clenshaw–Curtis quadrature was developed...
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points at the Legendre-Gauss-Lobatto (LGL) points and performing the Galerkin method integrations with a reduced Gauss-Lobatto quadrature using the same nodes...
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Krein space, Wolf Prize winner Alexander Kronrod, developer of Gauss–Kronrod quadrature formula and Kaissa, the first world computer chess champion Aleksey...
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of these are the Legendre pseudospectral method, the Chebyshev pseudospectral method, the Gauss pseudospectral method, the Ross-Fahroo pseudospectral...
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other mathematicians, including Carl Friedrich Gauss.). Lanczos was the one who introduced Chebyshev polynomials to numerical computing. Working in Washington...
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Window function (redirect from Gauss window)
\alpha } is 3. Minimizes the Chebyshev norm of the side-lobes for a given main lobe width. The zero-phase Dolph–Chebyshev window function w 0 [ n ] {\displaystyle...
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Polynomial interpolation (section Gauss formula)
Polynomial interpolation also forms the basis for algorithms in numerical quadrature (Simpson's rule) and numerical ordinary differential equations (multigrid...
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S2CID 121494138. Golub, Gene H.; Welsch, John H. (1969). "Calculation of Gauss quadrature rules". Mathematics of Computation. 23 (106): 221. doi:10.1090/S0025-5718-69-99647-1...
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Krein space, Wolf Prize winner Alexander Kronrod, developer of Gauss–Kronrod quadrature formula and Kaissa, the first world computer chess champion Nikolay...
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solution lends itself to quadrature (Gauss-Laguerre quadrature for exponential decay of integrand or Gauss–Hermite quadrature for squared exponential decay...
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based on Gaussian quadrature. The specific quadrature based on the P n {\displaystyle P_{n}} 's is known as Gauss-Legendre quadrature. The zeros of P n...
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Ancient Greek mathematicians including Archimedes, for instance in the quadrature of the parabola. The mathematical side of Zeno's paradoxes was resolved...
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capacitor and is able to move that charge from one capacitor to the next. Chebyshev filter A form of filter that has a steep frequency selective characteristic...
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Charge pump – Charge transfer switch – Charge-coupled device – CHAYKA – Chebyshev filter – Chemistry – Choke (electronics) – Chopper (electronics) – Circle...
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