Results 71 to 80 of about 1,445 (171)

EXTREMAL PROBLEMS FOR CUBATURE FORMULAS

open access: yesProceedings of the Academy of Sciences of the Estonian SSR. Physics. Mathematics, 1978
Levin, M. I., Girsovic, Ju. M.
openaire   +3 more sources

Cubature formulae for spheres, simplices and balls

open access: yesJournal of Computational and Applied Mathematics, 2004
The paper is organized in 5 Sections. The first two contain respectively the motivation for the choice of the subject and some results concerning properties of polyharmonic functions. In Section 3, cubature on the sphere \(S(r)=\{x\in\mathbb{R}^n:| x| =r\}\) on the form \[ \int_{S(r)}\mu(\xi) \,d\sigma(\xi)\simeq \sum^{m-1}_{j=0} A_j(r)\int_{S(r_j)}\mu(
openaire   +1 more source

The algebra of interpolatory cubature formulae for generic nodes [PDF]

open access: green, 2012
Claudia Fassino   +2 more
openalex   +1 more source

Existence of Gaussian cubature formulas

open access: yes, 2011
We provide a necessary and sufficient condition for existence of Gaussian cubature formulas. It consists of checking whether some overdetermined linear system has a solution and so complements Mysovskikh's theorem which requires computing common zeros of orthonormal polynomials. Moreover, the size of the linear system shows that existence of a cubature
openaire   +3 more sources

On the construction of general cubature formula by flat extensions. [PDF]

open access: yesLinear Algebra Appl, 2016
Bucero MA, Bajaj C, Mourrain B.
europepmc   +1 more source

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