Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' sieve method (Q5938246)
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scientific article; zbMATH DE number 1621664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' sieve method |
scientific article; zbMATH DE number 1621664 |
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Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' sieve method (English)
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23 September 2001
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The reliability of local error estimates returned by the Gauss-Kronrod quadrature rules is discussed. The authors study two important cases: the case of monotonic and the case of non-monotonic integrands. They found that Eratosthenes' sieve method can be succesfully used to derive validation criteria which are adapted to the integrand structure.
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local error estimates
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Gauss-Kronrod quadrature
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reliability
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Eratosthenes' sieve method
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