Search for the Best Cubature Formulas on the Sphere Invariant under the Icosahedral Rotation Group

A process of searching on the sphere for the best (in a sense) cubature formulas that are invariant under the transformations of the icosahedral rotation group is described. The parameters of the best cubature formulas of this symmetry type up to the 30th order of accuracy are given to 16 significan...

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Bibliographic Details

Published in:	Numerical analysis and applications Vol. 16; no. 4; pp. 348 - 358
Main Author:	Popov, A. S.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.12.2023 Springer Nature B.V
Subjects:	Algorithms Invariants Mathematics Mathematics and Statistics Numerical Analysis Polynomials Rotation Symmetry invariant cubature formulas invariant polynomials numerical integration icosahedral rotation group
ISSN:	1995-4239, 1995-4247
Online Access:	Get full text
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