Self-validating integration and approximation of piecewise analytic functions (Q1612410)
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scientific article; zbMATH DE number 1787694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-validating integration and approximation of piecewise analytic functions |
scientific article; zbMATH DE number 1787694 |
Statements
Self-validating integration and approximation of piecewise analytic functions (English)
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22 August 2002
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Numerical quadrature rules are derived which are self-validating in the sense that interval arithmetic produce enclosures either for the integral or for the function itself. Under some circumstances these new quadrature rules can be shown to be optimal in the sense of operations count.
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piecewise analytic functions
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enclosure techniques
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result verification
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numerical quadrature
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interval arithmetic
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