Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere (Q1946935)
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scientific article; zbMATH DE number 6152678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere |
scientific article; zbMATH DE number 6152678 |
Statements
Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere (English)
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10 April 2013
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The system of points on a sphere of a specific type is studied. The necessary and sufficient condition for such a system of points to be a weighted spherical semidesign are proved. Such criterion enables the construction of cubature formulae for calculating integrals over a sphere with the degree of accuracy of 5 and 9.
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cubature formula
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octahedron
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weighted spherical semidesign
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