Results 141 to 150 of about 8,085 (191)
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The American Mathematical Monthly, 2020
Gaussian quadrature was created by Gauss in 1814. Yet, Gauss’s own exposition of his discovery has fallen into the oblivion of history.
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Gaussian quadrature was created by Gauss in 1814. Yet, Gauss’s own exposition of his discovery has fallen into the oblivion of history.
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A note on the error in gaussian quadrature
Applied Mathematics and Computation, 1992By methods arising from well-known theory of analytic functions, the authors meticulously analyze the error in Gaussian quadrature and derive how the error term may be expressed in terms of a contour integral against a kernel function denoted by \(K_ n(t)\).
Martin, Clyde, Stamp, Mark
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Gaussian interval quadrature formula
Numerische Mathematik, 2001Let \(U_N=\{u_0,...,u_N\}, (V_N=\{1,v_1,...,v_N\})\) be a Chebyshev (Markov) system on the interval \([a,b],\) respectively. For a given set of ordered non-overlapping intervals \([c_k,d_k]\subseteq [a,b], k=1,...,n\) the authors consider the multiple node interval quadrature formula (with respect to \(V_N\)) \[ \int_a^b\mu(t)f(t)dt\approx \sum_{k=1}^n\
Borislav Bojanov, Petar Peynov Petrov
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Padé approximation and gaussian quadrature
Bulletin of the Australian Mathematical Society, 1974For certain types of formal power series, including the series of Stieltjes, we prove that the [n, n+j], j ≥ −1, Padé approximants coincide with certain gaussian quadrature formulae and hence, convergence of these approximants follows immediately.
Allen, G. D. +4 more
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Gaussian quadrature and acceleration of convergence
Numerical Algorithms, 1997The author extends his previous study to the case where the integrand possesses an algebraic singularity within the interval of integration. An asymptotic estimate and some results of convergence acceleration are given.
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Gaussian-quadrature formulas for
Journal of Statistical Computation and Simulation, 1982(1982). Gaussian-quadrature formulas for. Journal of Statistical Computation and Simulation: Vol. 15, No. 2-3, pp. 155-160.
David Kahaner +2 more
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Refined Nonlinear Gaussian Quadrature Filter
2019 American Control Conference (ACC), 2019Gaussian filters have been widely used in various applications due to their simplicity and effectiveness. For nonlinear estimation problems, Gaussian filters are usually developed from numerical quadrature rules to approximate the Gaussian weighted integrals in nonlinear filtering algorithms.
Bin Jia, Ming Xin 0001
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Gaussian quadrature for photon beams in Tangled
ACM SIGGRAPH 2011 Talks, 2011We implemented the recent Photon Beams [Jarosz et al. 2011] algorithm in Photorealistic RenderMan to efficiently render artistically-directed volumetric lighting effects for the feature-length animated movie Tangled [Nowrouzezahrai et al. 2011]. Photon beams generalize volumetric photon mapping by storing the entire path of a photon instead of just the
Johnson, Jared M. +3 more
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Summation of series and Gaussian quadratures, II
Numerical Algorithms, 1995The paper continues previous work of the author [Summation of series and Gaussian quadratures. In: Zahar, R. V. M. (ed.): Approximation and computation: a Festschrift in honor of Walter Gautschi, Boston, US: Birkhäuser, ISNM 119, 459-475 (1994; Zbl 0816.41027)] concerning the summation of some classes of slowly convergent series.
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Gaussian quadratures for approximate of fuzzy integrals
Applied Mathematics and Computation, 2005The authors discuss the Gaussian quadrature for fuzzy integration. Several examples are given.
Tofigh Allahviranloo, Mahmood Otadi
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