On the convergence of advanced linear multistep methods

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1979 English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 19, pages 476-481 (issn: 0006-3835, eissn: 1572-9125,

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Authors: McKee, S.; Pitcher, N.;

doi: 10.1007/bf01931263

On the convergence of advanced linear multistep methods

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Abstract

A convergence theorem is given showing that zero-stable advanced linear multistep methods with orderp consistency have orderp convergence.

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University of Oxford
United Kingdom

Keywords

consistency, convergence theorem, initial-value problem, ordinary differential equations, linear multistep methods, Numerical methods for initial value problems involving ordinary differential equations

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