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Application of reproducing kernel method to construction of cubature formulas for cube and simplex - MaRDI portal

Application of reproducing kernel method to construction of cubature formulas for cube and simplex (Q1316743)

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scientific article; zbMATH DE number 525571
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Application of reproducing kernel method to construction of cubature formulas for cube and simplex
scientific article; zbMATH DE number 525571

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    Application of reproducing kernel method to construction of cubature formulas for cube and simplex (English)
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    10 April 1994
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    Using the method of reproducing kernel the author constructs the cubature formulae on: the triangle, the 3-dimensional simplex, the \(n\)-dimensional cube and the \(n\)-dimensional simplex. For example, the cubature formulae for the square are obtained, with the algebraic degree of exactness \(2k+1\) and the number of the nodes \(k^ 2+4\), \(k=5,7\).
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    quadrature formula
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    method of reproducing kernel
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    cubature formulae
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