About: A posteriori error estimation for Magnus-type integrators

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/w
Subject	Initial value problems Stability and convergence of numerical methods Mesh generation and refinement Error bounds adaptive stepsize selection asymptotical correctness a posteriori local error estimation magnus-type integrators Non-autonomous linear differential equations
Title	A posteriori error estimation for Magnus-type integrators
Date	2019-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/m2an170229/m/print http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/m2an170229/m/web
related by	http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/m2an170229/authorship/2 http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/m2an170229/authorship/3 http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/m2an170229/authorship/4 http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/m2an170229/authorship/5 http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/m2an170229/authorship/1
Author	Koch, Othmar Quell, Michael Thalhammer, Mechthild Auzinger, Winfried Hofstätter, Harald
Abstract	We study high-order Magnus-type exponential integrators for large systems of ordinary differential equations defined by a time-dependent skew-Hermitian matrix. We construct and analyze defect-based local error estimators as the basis for adaptive stepsize selection. The resulting procedures provide a posteriori information on the local error and hence enable the accurate, efficient, and reliable time integration of the model equations. The theoretical results are illustrated on two numerical examples .
article type	research-article
publisher identifier	m2an170229
Date Copyrighted	2019-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI 2019
Rights Holder	EDP Sciences, SMAI
is part of this journal	RAIRO. Analyse numérique
is primary topic of	http://hub.abes.fr/edp/periodical/m2an/2019/volume_53/issue_1/m2an170229/w/record

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