Results 81 to 90 of about 113 (109)

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).
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Cubature formulae for Besov classes

Izvestiya: Mathematics, 1997
Summary: This paper is devoted to an investigation of optimal cubature formulae for Besov classes of functions with restrictions on the mixed difference. This study is a continuation of papers [Mat. Zametki 49, No. 1, 149-151 (1991; Zbl 0760.41017)] and Mat. Sb. 183, No. 7, 23-34 (1992; Zbl 0786.41025)].
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Cubature Formulas with Regular Boundary Layer

2006
In this chapter we show that cubature formulas with regular boundary layer are asymptoticallymath-optimal as the lattice mesh-size vanishes.
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Cubature Formulae for Polyharmonic Functions

2001
We construct cubature formulae for the ball in ℝd, based on integrals of the function v(x), its normal derivatives or iterated Laplacians △ j v (j = 0,…, m i−1) over n distinct (d−1)dimensional hyperspheres S(ρ i )of radius ρ i , respectively, which integrate exactly wide classes of functions defined as the harmonic span of given radial functions, and ...
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Cubature Formula

2019
Masanori Sawa, Masatake Hirao, Sanpei Kageyama   +2 more
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Testing Cubature Formulae on Wiener Space Versus Explicit Pricing Formulae

Springer Proceedings in Mathematics and Statistics, 2023
Anatoliy Malyarenko, Hossein Nohrouzian, Malyarenko Anatoliy   +2 more
exaly  

The Theory of Cubature Formulas

1997
S. L. Sobolev, V. L. Vaskevich
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Asymmetric Cubature Formulae with Few Points in High Dimension for Symmetric Measures

SIAM Journal on Numerical Analysis, 2004
Nicolas Victoir
exaly  

On minimal cubature formulae for product weight functions

Journal of Computational and Applied Mathematics, 1997
Guergana Petrova
exaly  

Calculating the Greeks by cubature formulae

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2006
Josef Teichmann
exaly