Results 131 to 140 of about 2,531 (180)

Invariant cubature formulas for the hyperoctahedron

Mathematical Notes, 1997
Cubature formulas for integrals over the hyperoctahedron \(O_{n}\) in \({\mathbb{R}}^{n}\) are derived. These formulas are invariant under the group of all orthogonal transformations of \(O_{n}\). The result is based on a theorem by S. L. Sobolev (1962).
exaly   +3 more sources

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.
openaire   +1 more source

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.
openaire   +1 more source

The construction of cubature formulae by continuation

Computing, 1990
A cubature formula Q is an approximation of an n-dimensional integral I. Q is exact for the space spanned by the polynomials \(f_ 1,...,f_ d\) if it verifies the system of equations: \(Q[f_ i]=I[f_ i]\quad i=1,...,d.\) The unknowns are knots and weights of the cubature formula. We suppose that there are as many unknowns as equations.
Pierre Verlinden, Ann Haegemans
openaire   +1 more source

Cubature Formulae Associated with the Dunkl Laplacian

Results in Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ben Salem, Néjib, Touahri, Kamel
openaire   +1 more source

On Trigonometric Blending Interpolation and Cubature Formulae

Results in Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dryanov, Dimiter, Petrov, Petar
openaire   +1 more source

Home - About - Disclaimer - Privacy