Results 101 to 110 of about 1,445 (171)

An Inequality of the Ostrowski Type For Double Integrals and Applications for Cubature Formulae [PDF]

open access: green, 1999
Sever S Dragomir   +3 more
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On Simpson's formula of cubature [PDF]

open access: yesAnnales Polonici Mathematici, 1959
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Cubature formulas for multidimensional singular integrals. I

open access: yes, 1970
[Gabdulhaev B. G.; Gabdulkhaev B. G.; Габдулхаев Б. Г.] Russian.
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Cubature formulae on scattered meshes

open access: closedRussian Journal of Numerical Analysis and Mathematical Modelling, 1991
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, 2023
zbMATH 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, 2023
In 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, 1995
Gaussian 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, 1975
We 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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