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The Computer Journal 1964 7(2):131-134; doi:10.1093/comjnl/7.2.131
© 1964 by British Computer Society
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Correlated round-off errors in digital integrating differential analyzers

C. S. Wallace *

Basser Computing Department, The University of Sydney, Sydney, N.S.W., Australia

The integration method used in digital differential analyzers suffers from both truncation and round-off errors. It is shown that, if trapezoidal corrections are employed, the latter dominates. The round-off errors in successive steps of the integration are shown to be correlated whenever the function being integrated has a slope which passes through a rational fraction of small denominator. However, an analysis is presented to show that in general the correlation does not greatly affect the total round-off error. Some special cases are shown to suffer from anomalously high round-off error.


* Basser Computing Department, The University of Sydney, Sydney, N.S.W., Australia.


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