Circumventing Ill-Conditioning Arising from Using Linear Multistep Methods in Approximating the Solution of Initial Value Problems

Circumventing Ill-Conditioning Arising from Using Linear Multistep Methods in Approximating the Solution of Initial Value Problems

When finding numerical solutions to stiff and nonstiff initial value problems using linear multistep methods, ill-conditioned systems are often encountered. In this paper, we demonstrate how this ill-conditioning can be circumvented without iterative refinement or preconditioning, by carefully choos...

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Bibliographic Details
Main Authors: Richard Olatokunbo Akinola, Ali Shokri, Shao-Wen Yao, Stephen Yakubu Kutchin
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
ill-conditioning
linear multistep methods
order
(non)singularity
underdetermined
Online Access:https://www.mdpi.com/2227-7390/10/16/2910

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