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An extension of Milne's device for the Adams Predictor-Corrector Methods

  • Masatomo Fujii
Article

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.

Key words

local truncation error global truncation error estimation the Adams predictor-corrector method Milne's device 

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Copyright information

© JJIAM Publishing Committee 1991

Authors and Affiliations

  • Masatomo Fujii
    • 1
  1. 1.Department of MathematicsFukuoka University of EducationFukuokaJapan

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