Results 21 to 30 of about 134,664 (159)
Constructing cubature formulae of degree 5 with few points [PDF]
Journal of Computational and Applied Mathematics, 2011 This paper is devoted to construct a family of fifth degree cubature formulae for n-cube with symmetric measure and n-dimensional spherically symmetrical region.
Zhaoliang Meng, Zhongxuan Luo
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Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups [PDF]
Advances in Applied Mathematics, 2010 The paper contains a generalization of known properties of Chebyshev polynomials of the second kind in one variable to polynomials of n variables based on the root lattices of compact simple Lie groups G of any type and of any rank n.
R. Moody, J. Patera
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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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On Gauss-Lobatto integration on the triangle
, 2011 A recent result in [2] on the non-existence of Gauss-Lobatto cubature rules on the triangle is strengthened by establishing a lower bound for the number of nodes of such rules. A method of constructing Lobatto type cubature rules on the triangle is given
Xu, Yuan
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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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Minimal monosplines in \(L_2\) and optimal cubature formulae
Journal of Numerical Analysis and Approximation Theory, 1978 Not available.
Gh. Coman
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On polynomials of least deviation from zero in several variables
, 2004 A polynomial of the form $x^\alpha - p(x)$, where the degree of $p$ is less than the total degree of $x^\alpha$, is said to be least deviation from zero if it has the smallest uniform norm among all such polynomials.
Xu, Yuan
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On a Family of Cubature Formulae [PDF]
The Computer Journal, 1966 Here, 2n + 1 is the degree of precision of the cubature formula, that is, the truncation error indicated by O(h + ) in (2) is zero when F is a polynomial in X and Y with a joint degree smaller than or at most equal to 2/i + l. The N* points Ph at which the function values are sampled, will be called sample points.
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The precision space of interpolatory cubature formulæ
, 2015 Methods from Commutative Algebra and Numerical Analysis are combined to address a problem common to many disciplines: the estimation of the expected value of a polynomial of a random vector using a linear combination of a finite number of its values.
C. Fassino, Eva Riccomagno
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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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