Numerical integration formulas based on iterated cubic splines (Q1332352)
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scientific article; zbMATH DE number 637431
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical integration formulas based on iterated cubic splines |
scientific article; zbMATH DE number 637431 |
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Numerical integration formulas based on iterated cubic splines (English)
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12 September 1994
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This paper concerns the Euler-MacLaurin integration formula. The derivatives \(f^{(m)}\) are approximated by the \(m\)th iterated cubic spline. Asymptotic error estimates for the iterated cubic spline and for the integration formula are deduced. Numerical examples illustrate the prescribed method.
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numerical examples
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Euler-MacLaurin integration formula
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cubic spline
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error estimates
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