Cubature formulae for spheres, simplices and balls.

DOI10.1016/j.cam.2003.08.036zbMath1046.41015OpenAlexW2088847233MaRDI QIDQ1421246

Guergana Petrova

Publication date: 26 January 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.036

zbMATH Keywords

polyharmonic functionsGaussian cubature formulae

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55)

Related Items (8)

Discretization of integrals on compact metric measure spaces ⋮ Optimal cubature formulas for tensor products of certain classes of functions ⋮ Construction of optimal cubature formulas related to computer tomography ⋮ Extended Gaussian type cubatures for the ball ⋮ Hybrid dimension reduction for mechanism reliability analysis with random joint clearances ⋮ Multivariate polynomial inequalities with respect to doubling weights and \(A_{\infty}\) weights ⋮ Finite element approximation of the Isaacs equation ⋮ Schemes for cubature over the unit disk found via numerical optimization

Cites Work

• On a new type of quadrature formulas
• Orthogonal polynomials and cubature formulae on spheres and on simplices
• Monomial cubature rules since ``Stroud: A compilation
• Uniqueness of the Gaussian quadrature for a ball
• The theory of multi-dimensional polynomial approximation
• Gaussian extended cubature formulae for polyharmonic functions
• Integration of polyharmonic functions
• Gaussian interval quadrature formula
• An extension of the Pizzetti formula for polyharmonic functions
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