Durand's rules for approximate integration (Q582263)
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scientific article; zbMATH DE number 4130316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Durand's rules for approximate integration |
scientific article; zbMATH DE number 4130316 |
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Durand's rules for approximate integration (English)
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1989
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A short biography of William F. Durand (1859-1958), a leading naval and aeronautical engineer of his time who developed many practical numerical algorithms in pre-computer times. The author studies in particular the motivation for the integration rule [N equal intervals of length h]: \[ I=h\{.4(f_ 0+f_ N)+1.1(f_ 1+f_{N-1})+\sum_{1<i<N-1}f_ i\} \] which combines the case of the trapezoidal rule with almost the precision of Simpson's rule.
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numerical algorithms
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Simpson's rule
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