Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (II)

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Abstract

We give some formulae for calculation of the expansions for (1) composition of step-transition operators (STO) of any two difference schemes (DS) for ODE's, (2) inverse operator of STO of any DS, and (3) conjugate operator of STO of any DS.

Keywords:

Step-transition operator Expansion Composition Inverse operator Conjugate operator.
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Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (II). (2002). Journal of Computational Mathematics, 20(5), 461-478. https://global-sci.com/index.php/JCM/article/view/11506