On some invariant cubature formulae of the ninth degree

被引：0
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作者：
Ponomorenko, A.K.
机构：
来源：
Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya | 1995年 / 04期
关键词：
Interpolation - Nonlinear equations - Numerical analysis - Polynomials - Problem solving;
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摘要：
The problem of constructing the cubature formulae invariant relative to the group of the hyperoctahedron has been discussed for an integral over the n-space with a radial symmetric weight function and an integral over the hypercube. The deduced formulae are precise for any algebraic polynomial which is no higher the ninth degree. It has been found that coefficients and coordinates of interpolation points have depended on a free parameter. The examples of application of the cubature invariant formulae have been presented.
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页码：31 / 33
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