Results 141 to 150 of about 1,238 (176)
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Generalized Gaussian quadrature rules over regions with parabolic edges
International Journal of Computer Mathematics, 2012This paper presents a generalized Gaussian quadrature method for numerical integration over regions with parabolic edges. Any region represented by R 1={ x, y | a ≤ x ≤ b, f x ≤ y ≤ g x } or R 2={ x, y | a ≤ y ≤ b, f y ≤ x ≤ g y }, where f x , g x , f y and g y are quadratic functions, is a region bounded by two parabolic arcs or a ...
K V Nagaraja, Sarada Jayan
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Numerical Computation of Generalized Averaged Gaussian and AntiGauss Quadrature Rules [PDF]
, 2023 Gauss-Kronrod quadrature rules (named the quadratures of the 20th century) have been developing in the last 60 years in order to solve the question of efficient estimating the error of the Gauss quadrature formula. Anti-Gauss and the generalized averaged Gaussian quadrature rules, as well as their Radau and Lobatto extensions, are introduced lately as ...
Spalević, Miodrag
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Computing the Distribution of a Random Variable via Gaussian Quadrature Rules
Bell System Technical Journal, 1982Using the technique of Gaussian quadrature rules, a new estimator is proposed for approximating the distribution of a random variable given only a finite number of its moments. The estimator is shown by numerous examples to be accurate on the tails of both continuous and discrete distributions.
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Gaussian quadrature rules and the evaluation of a family of integrals
, 2014 Diese Arbeit befasst sich mit Gaußschen Quadraturformeln und der Auswertung einer speziellen Familie von Integralen. Der erste Teil der Arbeit beinhaltet die Theorie der Quadraturformeln, wobei das Hauptaugenmerk auf den Gaußschen Quadraturformeln liegt.
Ranetbauer, Helene Anna
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Numerical integration rules near gaussian quadrature
Israel Journal of Mathematics, 1973We call a numerical integration formula based onk nodes which is exact for polynomials of degree at mostn an (n, k) formula. Gaussian quadrature is the unique (2k−1,k) formula. In this paper we give a complete description of all (2k−3,k) formulas, including a characterization of those having all positive weights.
Micchelli, C. A., Rivlin, T. J.
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Gaussian quadrature rules for C1 quintic splines with uniform knot vectors [PDF]
Journal of Computational and Applied Mathematics, 2017 We provide explicit quadrature rules for spaces of C1 quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are derived via an explicit recursion that avoids numerical solvers.
Michael Barton +2 more
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Gaussian interval quadrature rule for exponential weights
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aleksandar S. Cvetkovic +1 more
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Generalized averaged Gaussian quadrature rules on the semicircle
Numerical AlgorithmsMarija P Stanić +1 more
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On the variance of the Gaussian quadrature rule
Calcolo, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gaussian quadrature rule for arbitrary weight function and interval
Computer Physics Communications, 2005Abstract A program for calculating abscissas and weights of Gaussian quadrature rules for arbitrary weight functions and intervals is reported. The program is written in Mathematica. The only requirement is that the moments of the weight function can be evaluated analytically in Mathematica. The result is a FORTRAN subroutine ready to be utilized for
Hiroshi Fukuda +3 more
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