نتایج جستجو برای: gll quadrature

تعداد نتایج: 12961  

2005
MARK A. TAYLOR BETH A. WINGATE

We present several new quadrature formulas in the triangle for exact integrationof polynomials. The points were computed numerically with a cardinal function algorithm whichimposes that the number of quadrature points N be equal to the dimension of a lower dimensionalpolynomial space. Quadrature forumulas are presented for up to degree d = 25, all which havepositive weights and ...

2013
Kholmat M. Shadimetov Abdullo R. Hayotov Dilshod M. Akhmedov

Abstract This paper studies the problem of construction of the optimal quadrature formula in the sense of Sard in (2) 2 ( 1,1) L − S.L.Sobolev space for approximate calculation of the Cauchy type singular integral. Using the discrete analogue of the operator 4 4 / d dx we obtain new optimal quadrature formulas. Furthermore, explicit formulas of the optimal coefficients are obtained. Finally, in...

2008
Fiza Zafar Nazir Ahmad Mir

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. Moreover, it is shown that the corresponding optimal quadrature formula presents better estimate in the context of four-point quadrature formulae of closed type. A unified treatment of error inequalities for different cla...

2001
Pui-In Mak Weng-Ieng Mok Seng-Pan U R. P. Martins

Quadrature transceivers utilize complex signal processing in the analog front-end (AFE) to tackle the image problem in frequency up/downconversion. The image-rejection performance is limited by the unavoidable I/Q imbalance throughout the AFE. In this paper, an in-depth analysis and modeling of I/Q mismatch effects in 3 different AFE frequency up/downconverters in SIMULINK are presented to bett...

Journal: :SIAM J. Scientific Computing 2015
R. I. Saye

A high-order accurate numerical quadrature algorithm is presented for the evaluation of integrals over curved surfaces and volumes which are defined implicitly via a fixed isosurface of a given function restricted to a given hyperrectangle. By converting the implicitly defined geometry into the graph of an implicitly defined height function, the approach leads to a recursive algorithm on the nu...

2017
Bertrand Gauthier Luc Pronzato BERTRAND GAUTHIER

We address the problem of computing IMSE-optimal designs for random field interpolation models. A spectral representation of the IMSE criterion is obtained from the eigendecomposition of the integral operator defined by the covariance kernel of the random field and integration measure considered. The IMSE can then be approximated by spectral truncation and bounds on the error induced by this tr...

Journal: :J. Computational Applied Mathematics 2016
Dusan Lj. Djukic Lothar Reichel Miodrag M. Spalevic

Generalized averaged Gaussian quadrature formulas may yield higher accuracy than Gauss quadrature formulas that use the same moment information. This makes them attractive to use when moments or modified moments are cumbersome to evaluate. However, generalized averaged Gaussian quadrature formulas may have nodes outside the convex hull of the support of the measure defining the associated Gauss...

1994
A. Sri Ranga

We consider certain quadrature rules of highest algebraic degree of precision that involve strong Stieltjes distributions (i.e., strong distributions on the positive real axis). The behavior of the parameters of these quadrature rules, when the distributions are strong c-inversive Stieltjes distributions, is given. A quadrature rule whose parameters have explicit expressions for their determina...

2010
YUAN XU

A positive quadrature formula with n nodes which is exact for polynomials of degree In — r — 1, 0 < r < « , is based on the zeros of certain quasi-orthogonal polynomials of degree n . We show that the quasi-orthogonal polynomials that lead to the positive quadrature formulae can all be expressed as characteristic polynomials of a symmetric tridiagonal matrix with positive subdiagonal entries. A...

2016
Huiliang Cao Hongsheng Li Zhiwei Kou Yunbo Shi Jun Tang Zongmin Ma Chong Shen Jun Liu

This paper focuses on an optimal quadrature error correction method for the dual-mass MEMS gyroscope, in order to reduce the long term bias drift. It is known that the coupling stiffness and demodulation error are important elements causing bias drift. The coupling stiffness in dual-mass structures is analyzed. The experiment proves that the left and right masses' quadrature errors are differen...

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