Results 21 to 30 of about 70,750 (232)
Majorana solution of the Thomas-Fermi equation [PDF]
, 2001 We report on an original method, due to Majorana, leading to a semi-analytical series solution of the Thomas-Fermi equation, with appropriate boundary conditions, in terms of only one quadrature. We also deduce a general formula for such a solution which
Salvatore Esposito, Sommerfeld A.
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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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Calculation of fractional integrals using partial sums of Fourier series for structural mechanics problems [PDF]
E3S Web of Conferences, 2021 The goal of this study is to develop and apply an approximate method for calculating integrals that are part of models using Riemann-Liouville integrals, and to create a software product that allows such calculations for given functions. The main results
Galimyanov Anis, Gorskaya Tatyana
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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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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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Real‐Time 3D Ultrasound Imaging with an Ultra‐Sparse, Low Power Architecture
Advanced Healthcare Materials, EarlyView.This article presents a novel, ultra‐sparse ultrasound architecture that paves the way for wearable real‐time 3D imaging. By integrating a unique convolutional array with chirped data acquisition, the system achieves high‐resolution volumetric scans at a fraction of the power and hardware complexity.
Colin Marcus +9 more
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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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