Numerical integration with polynomial exactness over a spherical cap (Q453552)
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scientific article; zbMATH DE number 6087639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical integration with polynomial exactness over a spherical cap |
scientific article; zbMATH DE number 6087639 |
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Numerical integration with polynomial exactness over a spherical cap (English)
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27 September 2012
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The paper is devoted to the problem of numerical integration over spherical caps in \(S^2\) and discusses properties of the studied rules. The authors also study the existence of equal weight rules. The theory is generalized for spherical caps on \(S^d\). Numerical tests illustrate the performance of chosen rules.
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equal weight rules
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Markov inequalities
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numerical integration
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polynomial exactness
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positive weights
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spherical caps
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tensor product rules
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numerical examples
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0.9193585
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0.9105243
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0.8976678
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0.8901074
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0.88301593
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