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A process for the step-by-step integration of differential equations in an automatic digital computing machine

Published online by Cambridge University Press:  24 October 2008

S. Gill
S. Gill
Affiliation:
University Mathematical LaboratoryCambridge
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Abstract

It is advantageous in automatic computers to employ methods of integration which do not require preceding function values to be known. From a general theory given by Kutta, one such process is chosen giving fourth-order accuracy and requiring the minimum number of storage registers. It is developed into a form which gives the highest attainable accuracy and can be carried out by comparatively few instructions. The errors are studied and a simple example is given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 1 , January 1951 , pp. 96 - 108
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCE

(1)Kutta, W.Z. Math. Phys. 46 (1901), 435.Google Scholar