Results 1 to 10 of about 134,664 (159)
On optimization of cubature formulae for Sobolev classes of functions defined on star domains [PDF]
Математичні Студії, 2023 We find asymptotically optimal methods of recovery of the integration operator given values of the function at a finite number of points for a class of multivariate functions defined on a bounded star domain that have bounded in $L_p$ norm of their ...
O. V. Kovalenko
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Error estimates for certain cubature formulae [PDF]
Filomat, 2018 We estimate the errors of selected cubature formulae constructed by the product of Gauss quadrature rules. The cases of multiple and (hyper-)surface integrals over n-dimensional cube, simplex, sphere and ball are considered. The error estimates are obtained as the absolute value of the difference between cubature formula constructed by the ...
Davorka Jandrlic +2 more
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Note on cubature formulae and designs obtained from group orbits [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 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.
Bajnok +25 more
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MathematicsWe study two modifications of the trapezoidal product cubature formulae, approximating double integrals over the square domain [a,b]2=[a,b]×[a,b]. Our modified cubature formulae use mixed type data: except evaluations of the integrand on the points ...
Geno Nikolov, Petar Nikolov
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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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On asymptotically optimal cubatures for multidimensional Sobolev spaces
Researches in Mathematics, 2021 We find an asymptotically optimal method of recovery of the weighted integral for the classes of multivariate functions that are defined via restrictions on their (distributional) gradient.
V.F. Babenko +2 more
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Commuting extensions and cubature formulae [PDF]
Numerische Mathematik, 2005 34 pages, 3 figures ...
Degani, Ilan +2 more
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Stable high-order randomized cubature formulae in arbitrary dimension [PDF]
Journal of Approximation Theory, 2018 We propose and analyse randomized cubature formulae for the numerical integration of functions with respect to a given probability measure $\mu$ defined on a domain $\Gamma \subseteq \mathbb{R}^d$, in any dimension $d$.
G. Migliorati, F. Nobile
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On bivariate Gaussian cubature formulae [PDF]
Proceedings of the American Mathematical Society, 1994 It is shown that for two classes of integrals the results of Gaussian quadrature can be extended straightforwardly to the bivariate case. For these classes Gaussian formulae of an arbitrary degree are derived.
Schmid, H. J., Xu, Yuan
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Meshless cubature by Green’s formula [PDF]
Applied Mathematics and Computation, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SOMMARIVA, ALVISE, VIANELLO, MARCO
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