A note on operator splitting analysis in the stiff linear case

Résumé : This note is concerned with the numerical technique of operator splitting for initial value problems. Using a stiff linear ODE system as model problem, error bounds are derived for standard 1st- and 2nd-order splitting methods. The analysis focuses on deriving bounds independent of stiffness. The aim is to study the influence of stiffness on accuracy. Attention is paid to the influence of the splitting sequence on the splitting error and to the order reduction phenomenon.
Type de document :
Rapport
[Research Report] MAS-R9830, CWI. 1998
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https://hal.inria.fr/inria-00532710
Contributeur : Brigitte Briot <>
Soumis le : jeudi 4 novembre 2010 - 13:39:26
Dernière modification le : vendredi 25 mai 2018 - 12:02:05

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  • HAL Id : inria-00532710, version 1

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Jan G. Verwer, Bruno Sportisse. A note on operator splitting analysis in the stiff linear case. [Research Report] MAS-R9830, CWI. 1998. 〈inria-00532710〉

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