Results 11 to 20 of about 134,664 (159)
Cubature Formulae and Polynomial Ideals
Advances in Applied Mathematics, 1999 The main purpose of this paper is to study the structure of cubature formulae using the notion of a polynomial ideal and its variety. The author proves that if \(I\) is a polynomial ideal generated by a proper set of \((2n-1)\) orthogonal polynomials and if the cardinality of the variety \(V(I)\) is equal to the codimension of \(I\), then there exists ...
Yuan Xu
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Cubature formulae and orthogonal polynomials
Journal of Computational and Applied Mathematics, 2001 The authors investigate questions regarding the connections between orthogonal polynomials and cubature formulae raised by \textit{J. Radon} in [Monatsh. Math. 52, 286-300 (1948; Zbl 0031.31504)]. They formulate their results in terms of modern notations with particular attention to the multivariable case.
Cools, R. +2 more
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Performance of cubature formulae in probabilistic model analysis and optimization
Journal of Computational and Applied Mathematics, 2015 F. Bernardo
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Electric potential and field calculation of charged BEM triangles and rectangles by Gaussian cubature [PDF]
, 2016 It is a widely held view that analytical integration is more accurate than the numerical one. In some special cases, however, numerical integration can be more advantageous than analytical integration.
Glück, Ferenc, Hilk, Daniel
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On a class of embedded cubature formulae on the simplex
ACI Avances en Ciencias e Ingenierías, 2014 In this paper we investigate a class of embedded cubature formulae on the simplex announced in [1]. Here we recall the class of formulae, we introduce the remainder and we give an estimation of this, we also investigate the convergence.
Francesco Aldo Costabile, Luca Guzzardi
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Numerical hyperinterpolation over nonstandard planar regions [PDF]
, 2017 We discuss an algorithm (implemented in Matlab) that computes numerically total-degree bivariate orthogonal polynomials (OPs) given an algebraic cubature formula with positive weights, and constructs the orthogonal projection (hyperinterpolation) of a ...
Sommariva, Alvise, Vianello, Marco
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ORTHOGONAL POLYNOMIALS AND CUBATURE FORMULAE ON SPHERES AND ON BALLS
SIAM Journal on Mathematical Analysis, 1998 Yuan Xu
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Osculatory and Hyperosculatory Cubature Formulas [PDF]
Mathematics of Computation, 1977 Osculatory and hyperosculatory cubature formulas for a rectangular region, employing the function with either first, or first and second partial derivatives, were obtained together with dominant remainder terms involving higher derivatives at one point, providing exact accuracy through the fifth (seventh) degree without (with) remainders.
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The volume integral equation method in magnetostatic problem
Discrete and Continuous Models and Applied Computational Science, 2019 This article addresses the issues of volume integral equation method application to magnetic system calculations. The main advantage of this approach is that in this case finding the solution of equations is reduced to the area filled with ferromagnetic.
Pavel G Akishin, Andrey A Sapozhnikov
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Discrete Fourier Analysis and Chebyshev Polynomials with $G_2$ Group [PDF]
, 2012 The discrete Fourier analysis on the $30^{\degree}$-$60^{\degree}$-$90^{\degree}$ triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group $G_2$, which leads to the definition of four ...
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
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