Properties of certain piecewise polynomial product integration rules (Q1924758)
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scientific article; zbMATH DE number 937259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of certain piecewise polynomial product integration rules |
scientific article; zbMATH DE number 937259 |
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Properties of certain piecewise polynomial product integration rules (English)
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21 April 1997
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Piecewise polynomial product integration rules are related to repeated interpolatory quadrature formulas, i.e., the given interval is divided into subintervals and the interpolatory quadrature rules are applied to the subintervals. Two families of formulas are obtained from the trapezoidal rule and the Simpson rule. Generalized weight functions are included in this concept. The paper concludes with many numerical examples.
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piecewise polynomial product integration rules
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interpolatory quadrature formulas
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trapezoidal rule
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Simpson rule
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numerical examples
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