Results 11 to 20 of about 70,750 (232)
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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On semicardinal quadrature formulae [PDF]
Mathematics of Computation, 1974 The present paper concerns the semicardinal quadrature formulae introduced in Part III of the reference [3]. These were the limiting forms of Sard’s best quadrature formulae as the number of nodes increases indefinitely. Here we give a new derivation and characterization of these formulae.
Schoenberg, I. J., Silliman, S. D.
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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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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 , and Lobatto four-point quadrature rule for twice-differentiable mapping. Moreover, it is shown that the corresponding optimal quadrature formula presents
Mir NazirAhmad, Zafar Fiza
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Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation [PDF]
E3S Web of ConferencesIn this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space.
Daliyev Bakhtiyor +5 more
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A Novel Broadband Microwave Lumped-Element Quadrature Hybrid MMIC
IEEE Access, 2022 In this paper, a novel broadband lumped-element quadrature hybrid MMIC for interferometric correlation radiometer is proposed. First, the cause of the bandwidth limitation in the lumped-element branch-line coupler is analyzed, which is the two identical ...
Xi Chen +5 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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Micromachines, 2022 In this paper, we develop a new approach in order to understand the origin of the quadrature error in MEMS gyroscopes. As the width of the flexure springs is a critical parameter in the MEMS design, it is necessary to investigate the impact of the width ...
Alexandre Azier +3 more
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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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Diffusive approximation of a time-fractional Burger's equation in nonlinear acoustics [PDF]
, 2016 A fractional time derivative is introduced into the Burger's equation to model losses of nonlinear waves. This term amounts to a time convolution product, which greatly penalizes the numerical modeling.
Lombard, Bruno, Matignon, Denis
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