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The Quarterly Journal of Mechanics and Applied Mathematics 1958 11(2):185-195; doi:10.1093/qjmam/11.2.185
© 1958 by Oxford University Press
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SUBTABULATION WITH SPECIAL REFERENCE TO A HIGH-SPEED COMPUTER

ENID R. WOOLLETT

( Royal Aircraft Establishment Farnborough )

The method of Comrie and Bower for subtabulating a function by use of bridging differences is generalized to cover all sub-intervals where the procedure gives exact pivotal values. Two other methods are given; one uses leading differences and the other corrections to all odd orders of differences. The merits of the three methods for use with an automatic computer are discussed. It is shown that any desired accuracy can be obtained even when the pivotal values are not built up exactly. The method can be applied to all subtabulation ratios including those that are non-integral or even irrational. Various worked examples are given.


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