Results 231 to 240 of about 647,764 (285)

Numerical integration rules near gaussian quadrature

Israel Journal of Mathematics, 1973
We 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 product-type quadratures

Applied Mathematics and Computation, 1979
Ordinary N-term integral quadratures require the evaluation of the entire integrand at N points. However, m-by-n product type quadratures involve the evaluation of one factor of the integrand at m points and the reamaining factor at n points. The principal results of this paper include the generalization of the product-type quadrature concept to ...
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Distributed Gaussian polynomials and associated Gaussian quadratures

Journal of Mathematical Physics, 1997
An orthogonal function set called distributed Gaussian orthogonal polynomials is constructed from equally spaced Gaussians and the corresponding quadrature is studied. The infinite chain limit of both polynomials and the quadrature is studied and analytical expressions are found for polynomials, quadrature points, weights, and Lagrange functions.
Karabulut, Hasan, Sibert, Edwin L. III
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Gaussian kernel quadrature Kalman filter

European Journal of Control, 2023
A. Naik, P. K. Upadhyay, Abhinoy Kumar Singh   +2 more
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On Quadrature Formulae Near Gaussian Quadrature

1992
In this paper, for product integration on the finite interval [a, b], we consider the class of n-point quadrature formulae Q n of at least algebraic degree 2n – 3. We study a new approach for their characterization using the simple fact that such a quadrature formula is uniquely determined by one node y and its associated weight b. For a given node y ∈
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Hermiticity and Gaussian Quadrature

The Journal of Chemical Physics, 1964
It is often convenient to use Gaussian quadrature techniques to calculate integrals for variational calculations. A basis set may be constructed which is orthonormal under the summations used to approximate the integrals. For this set, the Hamiltonian matrix is Hermitian, in spite of the matrix elements not being calculated exactly.
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NUMERICAL TRANSFORM INVERSION USING GAUSSIAN QUADRATURE

Probability in the Engineering and Informational Sciences, 2005
Numerical inversion of Laplace transforms is a powerful tool in computational probability. It greatly enhances the applicability of stochastic models in many fields. In this article we present a simple Laplace transform inversion algorithm that can compute the desired function values for a much larger class of Laplace transforms than the ones that can ...
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Gaussian Quadrature

Wiley StatsRef: Statistics Reference Online, 2020
Ruohong Li, Honglang Wang, Wanzhu Tu
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Gaussian Quadrature

2011
Helmut Brass, Knut Petras
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Toward efficient and accurate interface capturing on arbitrary hybrid unstructured grids: The THINC method with quadratic surface representation and Gaussian quadrature

Journal of Computational Physics, 2017
B. Xie, F. Xiao
semanticscholar   +1 more source