AbstractNull space arguments are used to derive feasible structures for integration formulas on the surface of the s-dimensional sphere. Structures are obtained, for s = 3 and s = 4 for formulas of degrees 3 to 17, and for general s of degrees 3 to 9. Several new formulas in dimension 4 and for arbitrary dimension are constructed
AbstractThis paper is devoted to construct a family of fifth degree cubature formulae for n-cube wit...
AbstractA new method is described for the construction of cubature formulae of degree 4k − 3 for two...
AbstractIn this note cubature formulae of degree 5 are studied for n-dimensional integrals over the ...
AbstractIt has been shown recently that cubature formulae for the unit sphere and for the unit ball ...
AbstractWe examine the method of Cartesian product to construct cubature formulae on the unit sphere...
We construct cubature formulas on spheres supported by homothetic images of shells in some Euclidian...
AbstractWe construct interpolatory cubature rules on the two-dimensional sphere, using the fundament...
AbstractWe consider formulae of approximate integration over a d-dimensional ball which use n surfac...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
Many applications in geomathematics as well as bio-medical applications require the analysis of an u...
AbstractIn this paper we give a method for construction of cubature formulas, for approximate calcul...
Vector addition formula on a plane Euclidean surface is well known. In this paper we propose a vecto...
AbstractWe obtain in explicit form the unique Gaussian cubature for balls (spheres) in Rn based on i...
Several integral formulas referring to convex plane curves, notable for their great generality, were...
AbstractCubature formulae for evaluating integrals on the hypersphere in Rn for n⩾5 are obtained, wh...
AbstractThis paper is devoted to construct a family of fifth degree cubature formulae for n-cube wit...
AbstractA new method is described for the construction of cubature formulae of degree 4k − 3 for two...
AbstractIn this note cubature formulae of degree 5 are studied for n-dimensional integrals over the ...
AbstractIt has been shown recently that cubature formulae for the unit sphere and for the unit ball ...
AbstractWe examine the method of Cartesian product to construct cubature formulae on the unit sphere...
We construct cubature formulas on spheres supported by homothetic images of shells in some Euclidian...
AbstractWe construct interpolatory cubature rules on the two-dimensional sphere, using the fundament...
AbstractWe consider formulae of approximate integration over a d-dimensional ball which use n surfac...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
Many applications in geomathematics as well as bio-medical applications require the analysis of an u...
AbstractIn this paper we give a method for construction of cubature formulas, for approximate calcul...
Vector addition formula on a plane Euclidean surface is well known. In this paper we propose a vecto...
AbstractWe obtain in explicit form the unique Gaussian cubature for balls (spheres) in Rn based on i...
Several integral formulas referring to convex plane curves, notable for their great generality, were...
AbstractCubature formulae for evaluating integrals on the hypersphere in Rn for n⩾5 are obtained, wh...
AbstractThis paper is devoted to construct a family of fifth degree cubature formulae for n-cube wit...
AbstractA new method is described for the construction of cubature formulae of degree 4k − 3 for two...
AbstractIn this note cubature formulae of degree 5 are studied for n-dimensional integrals over the ...
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