Optimal addition of knots to cubature formulae for planar regions (Q1063378)

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scientific article; zbMATH DE number 3917535
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Optimal addition of knots to cubature formulae for planar regions
scientific article; zbMATH DE number 3917535

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    Optimal addition of knots to cubature formulae for planar regions (English)
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    1986
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    A method is described to add knots to a cubature formula of degree 2k-1 for an integral over a symmetric region, to obtain a cubature formula of degree \(2k+1\). This method is used to construct cubature formulae for the square, the circle, the hexagon and the entire plane.
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    optimal addition of knots
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    cubature formula
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    symmetric region
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