AbstractWe are concerned with the construction of high degree formulae for circular symmetric planar regions, such as a circle and the entire plane. With the aid of invariant polynomials with respect to reflection groups, we decompose the problem into relative small quadrature problems. The cubature formulae can be constructed by an automatic procedure
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
International audienceQuadrature is an approximation of the definite integral of a function by a wei...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
AbstractWe are concerned with the construction of high degree formulae for circular symmetric planar...
AbstractA numerical method of constructing 25-point and 26-point cubature formulas with degree of ex...
AbstractA new method is described for the construction of cubature formulae of degree 4k − 3 for two...
AbstractA method of constructing three-dimensional cubature formulae of high degree for three-dimens...
AbstractA new method is described for the construction of cubature formulae of degree 4k − 3 for two...
AbstractThe method of constructing minimal cubature rules with high algebraic degrees of exactness i...
AbstractWe consider an imbedded family of cubature formulae for n-dimensional fully symmetric produc...
We study cubature formulas for d-dimensional integrals with an arbitrary symmetric weight function o...
AbstractWe examine the method of Cartesian product to construct cubature formulae on the unit sphere...
AbstractIn this paper cubature formulae are obtained for evaluating integrals on the hyperoctahedron...
The paper develops applications of symmetric orbit functions, known from irreducible representations...
The paper develops applications of symmetric orbit functions, known from irreducible representations...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
International audienceQuadrature is an approximation of the definite integral of a function by a wei...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
AbstractWe are concerned with the construction of high degree formulae for circular symmetric planar...
AbstractA numerical method of constructing 25-point and 26-point cubature formulas with degree of ex...
AbstractA new method is described for the construction of cubature formulae of degree 4k − 3 for two...
AbstractA method of constructing three-dimensional cubature formulae of high degree for three-dimens...
AbstractA new method is described for the construction of cubature formulae of degree 4k − 3 for two...
AbstractThe method of constructing minimal cubature rules with high algebraic degrees of exactness i...
AbstractWe consider an imbedded family of cubature formulae for n-dimensional fully symmetric produc...
We study cubature formulas for d-dimensional integrals with an arbitrary symmetric weight function o...
AbstractWe examine the method of Cartesian product to construct cubature formulae on the unit sphere...
AbstractIn this paper cubature formulae are obtained for evaluating integrals on the hyperoctahedron...
The paper develops applications of symmetric orbit functions, known from irreducible representations...
The paper develops applications of symmetric orbit functions, known from irreducible representations...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
International audienceQuadrature is an approximation of the definite integral of a function by a wei...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
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