Results 11 to 20 of about 601,821 (236)
Quadrature Formula For Sampled Functions [PDF]
, 2010 This paper deals with efficient quadrature formulas involving functions that are observed only at fixed sampling points. The approach that we develop is derived from efficient continuous quadrature formulas, such as Gauss-Legendre or Clenshaw-Curtis quadrature.
Minaoui, Khalid +3 more
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On the composite Bernstein type quadrature formula [PDF]
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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Numerical quadrature methods for singular and nearly singular integrals [PDF]
, 2001 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, Sumlearng
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Double inequalities for quadrature formula of Gauss type [PDF]
Journal of Numerical Analysis and Approximation Theory, 2011 Double inequalities for the remainder term of the Gauss quadrature formula are given. These inequalities are sharp. Will also be considered particular cases for \(n = 1, 2\).
Marius Heljiu
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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.
openaire +3 more sources
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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Three Point Quadrature Rules Involving, at Most, a First Derivative [PDF]
, 1999 A unified treatment of three point quadrature rules is presented in which the classical rules of mid-point, trapezoidal and Simpson type are recaptured as particular cases.
Cerone, Pietro, Dragomir, Sever S
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On Convergence of Quadrature Methods for the Lipschitz-Continuous Functions [PDF]
, 2000 In this article we present a new approach to quadrature methods where any quadrature formula is generated by a discontinuous function whose jumps are quadrature weights.
Fedotov, I, Dragomir, Sever S
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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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