Two classes of boundary type cubature formulas with algebraic precision (Q579831)
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scientific article; zbMATH DE number 4016023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two classes of boundary type cubature formulas with algebraic precision |
scientific article; zbMATH DE number 4016023 |
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Two classes of boundary type cubature formulas with algebraic precision (English)
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1986
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The authors present two classes of multivariate numerical integration formulas that use only boundary points as evaluation points. Some special boundary type formulas are constructed as illustrative examples for a general process. Moreover, the method of dimensionality reducing expansion is used to obtain a symmetric boundary type formula that possesses some homogeneous algebraic precision.
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Gauss-Green theorem
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Gaussian quadrature
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Chebyshev polynomial of the second kind
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multivariate numerical integration
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boundary type formulas
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dimensionality reducing expansion
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algebraic precision
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