Improved accuracy of linear multistep methods

Samir Karaa

doi:10.12785/amis/070209

Improved accuracy of linear multistep methods

Samir Karaa^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the θ-method providing a general framework for studying stability and allowing to select the appropriate values of the parameter θ that increase the order of accuracy. The idea is followed through to generate optimal linear multistep methods.

Original language	English
Pages (from-to)	491-496
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	7
Issue number	2
DOIs	https://doi.org/10.12785/amis/070209
Publication status	Published - Mar 2013

Keywords

Absolute stability
Linear multistep methods
Optimal method
θ-method

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.12785/amis/070209

Cite this

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Improved accuracy of linear multistep methods

Abstract

Keywords

ASJC Scopus subject areas

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