Asymptotically optimal unsaturated lattice cubature formulae with bounded boundary layer (Q2863122)
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scientific article; zbMATH DE number 6231584
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotically optimal unsaturated lattice cubature formulae with bounded boundary layer |
scientific article; zbMATH DE number 6231584 |
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Asymptotically optimal unsaturated lattice cubature formulae with bounded boundary layer (English)
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21 November 2013
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optimization
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unsaturated algorithm
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lattice cubature formula
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The author presents a construction of a lattice cubature formula for approximating integrals over bounded regions in \(\mathbb{R}^n\). The cubature formula is shown to satisfy a boundary condition property, where all nodes have the same coefficients in the cubature formula, provided that the distance from the node to the boundary is large enough. The cubature formula also satisfies a weakened form of Babenko's unsaturatedness property.
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