Global error estimation of linear multistep methods through the Runge-Kutta methods

In this paper, we study the global truncation error of the linear multistep methods (LMM) in terms of local truncation error of the corresponding Runge-Kutta schemes. The key idea is the representation of LMM with a corresponding Runge-Kutta method. For this, we need to consider the multiple step of...

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Bibliographic Details
Main Author: Javad Farzi
Format: Article
Language:English
Published: Ferdowsi University of Mashhad 2016-09-01
Series:Iranian Journal of Numerical Analysis and Optimization
Subjects:
Online Access:https://ijnao.um.ac.ir/article_24492_691bb0d51e4b622021a9a9389712ef8b.pdf