Cubature formulas over the n-sphere
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摘要
We examine the method of Cartesian product to construct cubature formulae on the unit sphere and obtain a kind of new Lobatto formulae. Furthermore, by constraining nodes to lie on orthogonal polynomials, an alternative method of producing new cubature formulae on the spherically symmetrical region is also presented. Finally, some new cubature formulae are derived.
论文关键词：Orthogonal polynomials,n-sphere,Cubature formula
论文评审过程：Received 23 December 2005, Revised 8 March 2006, Available online 21 April 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.03.004
