Results 11 to 20 of about 1,445 (171)
Note on Cubature Formulae and Designs Obtained from Group Orbits [PDF]
, 2011 In 1960, Sobolev proved that for a finite reflection group G, a G-invariant cubature formula is of degree t if and only if it is exact for all G-invariant polynomials of degree at most t.
Hiroshi Nozaki, Masanori Sawa
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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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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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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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Quadratic optimal functional quantization of stochastic processes and numerical applications [PDF]
, 2006 In this paper, we present an overview of the recent developments of functional quantization of stochastic processes, with an emphasis on the quadratic case.
A Benveniste +39 more
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Modified product cubature formulae
Journal of Computational and Applied Mathematics, 2009 Starting with the well known blending interpolation formula, the authors constructed a cubature formula which involves few line integrals. This way, they obtained a generalization of the classical product of cubature formulae. This new type of cubature formulae contains two distinct parts: the first one is the classical product, while the second is the
Gushev, Vesselin, Nikolov, Geno
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Multivariate Orthogonal Polynomials and Modified Moment Functionals [PDF]
, 2016 Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients.
Delgado, Antonia M. +3 more
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Journal of Numerical Analysis and Approximation Theory, 2003 An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are given.
S.S. Dragomir, N.S. Barnett, P. Cerone
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Trivariate polynomial approximation on Lissajous curves [PDF]
, 2015 We study Lissajous curves in the 3-cube, that generate algebraic cubature formulas on a special family of rank-1 Chebyshev lattices. These formulas are used to construct trivariate hyperinterpolation polynomials via a single 1-d Fast Chebyshev Transform (
Bos, Len +2 more
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, 2015 In the finite difference method which is commonly used in computational micromagnetics, the demagnetizing field is usually computed as a convolution of the magnetization vector field with the demagnetizing tensor that describes the magnetostatic field of
Chernyshenko, Dmitri, Fangohr, Hans
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