Exit criteria and monotonicity in compound quadrature of Gaussian type (Q1326494)
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scientific article; zbMATH DE number 569194
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exit criteria and monotonicity in compound quadrature of Gaussian type |
scientific article; zbMATH DE number 569194 |
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Exit criteria and monotonicity in compound quadrature of Gaussian type (English)
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18 May 1994
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The author studies monotonicity of Gaussian and of Gauss-Lobatto quadrature formulas, considering compound quadrature rules. In two theorems the monotonical behaviour of quadrature errors depending on the number of nodes is given, provided that the \(2m\)-th derivative of the integrand does not change sign, \(m\) and \((m+1)\), respectively, being the number of nodes of the basic quadrature rules.
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monotonicity of errors
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Gauss-Lobatto quadrature formulas
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compound quadrature rules
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