LIE GROUPS AND NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS: INVARIANT DISCRETIZATION VERSUS DIFFERENTIAL APPROXIMATION

dc.contributor.author	Levi , Decio
dc.contributor.author	Winternitz , Pavel
dc.date.accessioned	2017-02-09T08:22:16Z
dc.date.available	2017-02-09T08:22:16Z
dc.date.issued	2013
dc.identifier.citation	Acta Polytechnica. 2013, vol. 53, no. 5.
dc.identifier.issn	1210-2709 (print)
dc.identifier.issn	1805-2363 (online)
dc.identifier.uri	http://hdl.handle.net/10467/67088
dc.description.abstract	We briefly review two different methods of applying Lie group theory in the numerical solution of ordinary differential equations. On specific examples we show how the symmetry preserving discretization provides difference schemes for which the “first differential approximation” is invariant under the same Lie group as the original ordinary differential equation.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	České vysoké učení technické v Praze	cs
dc.publisher	Czech Technical University in Prague	en
dc.relation.ispartofseries	Acta Polytechnica
dc.relation.uri	https://ojs.cvut.cz/ojs/index.php/ap/article/view/1870
dc.rights	Creative Commons Attribution 4.0 International License	en
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.title	LIE GROUPS AND NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS: INVARIANT DISCRETIZATION VERSUS DIFFERENTIAL APPROXIMATION
dc.type	article	en
dc.date.updated	2017-02-09T08:22:16Z
dc.identifier.doi	10.14311/AP.2013.53.0438
dc.rights.access	openAccess
dc.type.status	Peer-reviewed
dc.type.version	publishedVersion

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