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The evaluation of integrals of the form

Published online by Cambridge University Press:  24 October 2008

E. T. Goodwin
E. T. Goodwin
Affiliation:
Mathematics Division, National Physical Laboratory, Teddington, Middlesex
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Extract

It is well known to computers that the approximate formula

yields a surprising degree of accuracy even for quite large values of the interval h; for example, if h = 1 the error is one unit in the fourth decimal.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 2 , April 1949 , pp. 241 - 245
Copyright
Copyright © Cambridge Philosophical Society 1949

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References

* See, for example, Milne-Thomson, L. M., The calculus of finite differences (Macmillan, 1933).Google Scholar

* Turing, A. M., ‘A method for the calculation of the zeta-function’, Proc. London Math. Soc. (2), 48 (1943), 180.Google Scholar