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On the continuous solution of integral equations by an electronic analogue. I

Published online by Cambridge University Press:  24 October 2008

Michael E. Fisher
Michael E. Fisher
Affiliation:
Wheatstone Physics LaboratoryKing's CollegeLondon
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Abstract

A scheme is proposed for solving a class of integral equations by electronic analogue computing techniques in times as short as one-tenth of a second. The scheme utilizes a recently developed high-speed analogue function store for carrying out a special iterative procedure which is shown to be more efficient than the classical Neumann process. The problem of the kernel generation at high repetition rates is considered and a novel method based on pivotal function generators is described. Likely errors are analysed and an overall accuracy of the order of 1% is shown to be attainable with known techniques.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 1 , January 1957 , pp. 162 - 174
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

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