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Commuting Extensions and Cubature Formulae [PDF]
Numerische Mathematik, 2004 34 pages, 3 figures ...
Ilan Degani +2 more
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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.
H. J. Schmid, Yuan Xu
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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 R. Jandrlić +2 more
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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.
Bernd Meister
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On optimization of cubature formulae for Sobolev classes of functions defined on star domains
Математичні СтудіїWe 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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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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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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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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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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