Results 101 to 110 of about 1,445 (171)
An Inequality of the Ostrowski Type For Double Integrals and Applications for Cubature Formulae [PDF]
Sever S Dragomir +3 more
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AN OSTROWSKI TYPE INEQUALITY FOR DOUBLE INTEGRALS AND APPLICATIONS FOR CUBATURE FORMULAE [PDF]
Neil S Barnett, Sever S Dragomir
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Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions
Ronald Cools, Anny Haegemans
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Cubature formulas for multidimensional singular integrals. I
[Gabdulhaev B. G.; Gabdulkhaev B. G.; Габдулхаев Б. Г.] Russian.
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Cubature formulae on scattered meshes
Summary: This paper outlines the general approach to constructing cubature formulae \[ L(f)\simeq\sum^ N_{i = 1} a_ i f(P_ i) \] exact for the linear method of reconstruction of mesh functions \(f(P_ 1), \dots, f(P_ N)\), where \(P_ 1,\dots P_ N\) is a chaotic set of points in the domain \(\Omega \subset \mathbb{R}^ n\).
Anatoly Yu. Bezhaev
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Multidimensional Cubature Formulas with Superpower Convergence
Doklady Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belov A.A., Tintul M.A.
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Compound cubature formulas on a lattice
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023In the present paper lattice optimal cubature formulas are constructed by the variational method in the Sobolev space. In addition, the square of the norm of the error functional of the constructed lattice optimal cubature formulas in the conjugate Sobolev space is explicitly calculated.
Shadimetov, Kh. M., Mamatova, N. Kh.
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Multivariate Gaussian cubature formulae
Archiv der Mathematik, 1995Gaussian quadrature can be briefly described as follows: There is a one- parameter family of minimal formulae of degree \(2n-2\) the nodes of which are the roots of \(p_ n+ \rho p_{n-1}\), \(\rho\neq 0\), where \(\{p_ n\}_{n=0}^ \infty\), denotes the system of orthogonal polynomials w.r.t.
Berens, H., Schmid, H. J., Xu, Y.
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Bivariate Cardinal Interpolation and Cubature Formulas
SIAM Journal on Numerical Analysis, 1975We introduce a bivariate cardinal interpolation series for a function $f(x,u)$ analogous to the Whittaker’s cardinal function. Under suitable conditions on f, we establish the convergence of the bivariate cardinal series; and under additional conditions, the convergence of the cardinal series to f.
Chawla, M. M., Jayarajan, N.
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