• Thumbnail for Gaussian quadrature
    In numerical analysis, an n-point Gaussian quadrature rule, named after Carl Friedrich Gauss, is a quadrature rule constructed to yield an exact result...
    42 KB (6,854 words) - 04:08, 15 June 2025
  • In numerical analysis ChebyshevGauss quadrature is an extension of Gaussian quadrature method for approximating the value of integrals of the following...
    2 KB (311 words) - 05:55, 7 May 2025
  • In numerical analysis, Gauss–Legendre quadrature is a form of Gaussian quadrature for approximating the definite integral of a function. For integrating...
    13 KB (1,631 words) - 04:39, 14 June 2025
  • Thumbnail for Chebyshev nodes
    kinds of Chebyshev nodes. The ⁠ n {\displaystyle n} ⁠ Chebyshev nodes of the first kind, also called the ChebyshevGauss 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 ChebyshevGauss quadrature of the first (second) kind arises...
    3 KB (537 words) - 21:00, 14 April 2025
  • 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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  • Thumbnail for Carl Friedrich Gauss
    Johann Carl Friedrich Gauss (/ɡaʊs/ ; German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German...
    181 KB (17,930 words) - 13:08, 20 June 2025
  • Thumbnail for Chebyshev polynomials
    directly to the method of Clenshaw–Curtis quadrature. These polynomials were named after Pafnuty Chebyshev. The letter T is used because of the alternative...
    58 KB (11,028 words) - 00:32, 20 June 2025
  • 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 ChebyshevGauss quadrature — extension of Gaussian quadrature for integrals...
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  • form" Chebyshev norm Discrete Chebyshev polynomials Discrete Chebyshev transform Chebyshev rational functions ChebyshevGauss 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...
    68 KB (12,148 words) - 20:43, 19 June 2025
  • collocation at the ChebyshevGauss–Lobatto (CGL) points. An enhancement to the Chebyshev pseudospectral method that uses a Clenshaw–Curtis quadrature was developed...
    9 KB (1,142 words) - 15:59, 25 May 2025
  • points at the Legendre-Gauss-Lobatto (LGL) points and performing the Galerkin method integrations with a reduced Gauss-Lobatto quadrature using the same nodes...
    9 KB (1,339 words) - 16:08, 5 March 2025
  • Thumbnail for List of Russian mathematicians
    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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  • Thumbnail for Window function
    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...
    74 KB (8,872 words) - 22:12, 11 June 2025
  • Polynomial interpolation also forms the basis for algorithms in numerical quadrature (Simpson's rule) and numerical ordinary differential equations (multigrid...
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  • Thumbnail for Gene H. Golub
    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...
    18 KB (1,813 words) - 23:48, 5 January 2025
  • Krein space, Wolf Prize winner Alexander Kronrod, developer of Gauss–Kronrod quadrature formula and Kaissa, the first world computer chess champion Nikolay...
    95 KB (9,622 words) - 21:08, 30 April 2025
  • 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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  • Thumbnail for Legendre polynomials
    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...
    38 KB (7,177 words) - 13:10, 18 June 2025
  • 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...
    148 KB (19,294 words) - 14:03, 30 May 2025
  • Charge pump – Charge transfer switch – Charge-coupled device – CHAYKA – Chebyshev filter – Chemistry – Choke (electronics) – Chopper (electronics) – Circle...
    51 KB (3,721 words) - 19:35, 10 April 2025