Results 11 to 20 of about 21,383 (247)
Exactness of Quadrature Formulas [PDF]
SIAM Review, 2022 The standard design principle for quadrature formulas is that they should be exact for integrands of a given class, such as polynomials of a fixed degree. We show how this principle fails to predict the actual behavior in four cases: Newton-Cotes, Clenshaw-Curtis, Gauss-Legendre, and Gauss-Hermite quadrature.
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Some Generalized Error Inequalities and Applications
Journal of Inequalities and Applications, 2008 We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's 3/8, and Lobatto four-point quadrature rule for twice-differentiable mapping.
Nazir Ahmad Mir, Fiza Zafar
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Numerical study of nonlinear problems in the dynamics of thin-walled structural elements [PDF]
E3S Web of Conferences, 2021 Mathematical model of the problem of vibration of thin-walled structural elements has been constructed based on Kirchhoff-Love theory. The problem is reduced, using the Bubnov-Galerkin method, to the solution of a set of nonlinear integro-differential ...
Kucharov Olim +3 more
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Stochastic Quadrature Formulas [PDF]
Mathematics of Computation, 1969 A class of formulas for the numerical evaluation of multiple integrals is described, which combines features of the Monte-Carlo and the classical methods. For certain classes of functions—defined by smoothness conditions—these formulas provide the fastest possible rate of convergence to the integral. Asymptotic error estimates are derived, and a method
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IET Power Electronics, EarlyView., 2022 This paper introduces the research on the inductance‐capacitor‐capacitor‐inductance grid‐connected inverter using active disturbance rejection and grid voltage feedforward coordinated control technology. The pade approximation is performed on the inductance‐capacitor‐capacitor‐inductance filter to derive the first‐order discretization mathematical ...
Guang‐Xin Zhong +4 more
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Construction of Compact Finite Difference Schemes by Classic Differential Quadrature
Applied Sciences, 2017 Using classic differential quadrature formulae and uniform grids, this paper systematically constructs a variety of high-order finite difference schemes, and some of these schemes are consistent with the so-called boundary value methods.
Fangzong Wang, Mingshuai Pan, Yong Wang
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Chebyshev type quadrature formulas [PDF]
Mathematics of Computation, 1970 Quadrature formulas of the form \[ ∫ − 1 1 f ( x ) d x ≈ 2 n ∑ i = 1 n
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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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Quadrature Formulae with Non-Negative Coefficients for Poisson and Dinie Integrals
Наука и техника, 2005 Special quadrature formulae with non-negative coefficients for the Poisson and Dinie integrals have been derived. Even estimations of approximate formula errors permit to conduct calculations with the given accuracy.
I. N. Meleshko
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Unified Treatment of Heterodyne Detection: the Shapiro-Wagner and Caves Frameworks [PDF]
, 2005 A comparative study is performed on two heterodyne systems of photon detectors expressed in terms of a signal annihilation operator and an image band creation operator called Shapiro-Wagner and Caves' frame, respectively.
Ban M. +16 more
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