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Durand’s rules for approximate integration. (English) Zbl 0691.01009

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.
Reviewer: H.Guggenheimer

MSC:

01A55 History of mathematics in the 19th century
65D30 Numerical integration
01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Durand, W. F.
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References:

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