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Cubature formulae for Besov classes
Izvestiya: Mathematics, 1997Summary: 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
2006In 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
2001We 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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Search for the Best Cubature Formulas on the Sphere Invariant under the Icosahedral Rotation Group
Numerical Analysis and Applications, 2023A S Popov
exaly
A survey of known and new cubature formulas for the unit disk
Korean Journal of Computational and Applied Mathematics, 2000Ronald Cools
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Simple Cubature Formulas with High Polynomial Exactness
Constructive Approximation, 1999Erich Novak, Klaus Ritter
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Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions
Symmetry, 2016Jiří Hrivnák +2 more
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Cubature formulas on a sphere invariant under the icosahedral rotation group
Numerical Analysis and Applications, 2008A S Popov
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