Results 21 to 30 of about 71,031 (218)
Quadrature formulas using derivatives [PDF]
Mathematics of Computation, 1965 1. H. MINEUR, Techniques de Calcul Num~rique d l'Usage des Mathe'maticiens, Astronomes, Physiciens et Ingenieurs. Suivi de Quatre Notes Par: Mme. Henri Berthod-Zaborowski, Jean Bouzitat, et Marcel Mayot, B6ranger, Paris, 1952. 2. M. ABRAMOWITZ & I.
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On Birkhoff Quadrature Formulas [PDF]
Proceedings of the American Mathematical Society, 1986 In an earlier work the author has obtained new quadrature formulas (see (1.3)) based on function values and second derivatives on the zeros of ∏ n ( x ) {\prod _n}\left ( x \right ) as defined by (1.2).
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Results in Applied MathematicsThis work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
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Results in Applied Mathematics, 2022 This article discusses the development of a new algorithm, which is based on optimal quadrature formulas for obtaining solutions to the generalized Abel integral equations.
Kholmat M. Shadimetov +1 more
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A new numerical quadrature formula on the unit circle [PDF]
, 2007 11 pages, no figures.-- MSC2000 codes: 33C47, 42C05, 65D30.MR#: MR2335810 (2008i:33038)Zbl#: Zbl 1126.65023In this paper we study a quadrature formula for Bernstein–Szegö measures on the unit circle with a fixed number of nodes and unlimited exactness ...
Berriochoa, Elías +2 more
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Inversion of the Laplace transform from the real axis using an adaptive iterative method [PDF]
, 2009 In this paper a new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function $f(t)$ is continuous with (known) compact support.
Indratno, Sapto W., Ramm, A. G.
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Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis
, 2015 The maximum entropy principle is a powerful tool for solving underdetermined inverse problems. This paper considers the problem of discretizing a continuous distribution, which arises in various applied fields. We obtain the approximating distribution by
Tanaka, Ken'ichiro, Toda, Alexis Akira
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On the composite Bernstein type quadrature formula
Journal of Numerical Analysis and Approximation Theory, 2010 Considering a given function \(f\in C[0,1]\), the interval \([0,1]\) is divided in \(m\) equally spaced subintervals \(\left[\tfrac{k-1}{m},\tfrac{k}{m}\right]\), \(k=\overline{1,m}\).
Dan Bărbosu, Dan Miclăuş
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Is Gauss quadrature better than Clenshaw-Curtis? [PDF]
, 2006 We consider the question of whether Gauss quadrature, which is very famous, is more powerful than the much simpler Clenshaw-Curtis quadrature, which is less well-known.
Trefethen, Lloyd N.
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Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
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