Abstract
In order to estimate local truncation errors of the Adams-Bashforth-Moulton pair of orderp (p=2, 3, 4, 5) in the mode of correcting to convergence, in theP(EC) m E mode and in theP(EC) m mode, we consider an accurate method by using a linear combination of the differences between the values of the predictor and those of the corrector. As one application, we also consider a method for estimating global truncation errors by using the estimated local truncation errors.
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