Order barrier for low-storage DIRK methods with positive weights

Higueras Sanz, Inmaculada; Roldán Marrodán, Teodoro

Publication:
Order barrier for low-storage DIRK methods with positive weights

dc.contributor.author	Higueras Sanz, Inmaculada
dc.contributor.author	Roldán Marrodán, Teodoro
dc.contributor.department	Ingeniería Matemática e Informática	es_ES
dc.contributor.department	Matematika eta Informatika Ingeniaritza	eu
dc.date.accessioned	2019-09-11T07:31:18Z
dc.date.available	2019-09-11T07:31:18Z
dc.date.issued	2018
dc.description.abstract	In this paper we study an order barrier for low-storage diagonally implicit Runge-Kutta (DIRK) methods with positive weights. The Butcher matrix for these schemes, that can be implemented with only two memory registers in the van der Houwen implementation, has a special structure that restricts the number of free parameters of the method. We prove that third order low-storage DIRK methods must contain negative weights, obtaining the order barrier p ≤ 2 for these schemes. This result extends the well known one for symplectic DIRK methods, which are a particular case of low-storage DIRK methods. Some other properties of second order low-storage DIRK methods are given.	en
dc.description.sponsorship	Supported by Ministerio de Economía y Competividad, project MTM-2014-53178-P.	en
dc.format.extent	10 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1007/s10915-017-0540-6
dc.identifier.issn	1573-7691 (Electronic)
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/34791
dc.language.iso	eng	en
dc.publisher	Springer	en
dc.relation.ispartof	Journal of Scientific Computing (2018) 75:395–404	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//MTM2014-53178-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.1007/s10915-017-0540-6
dc.rights	© Springer Science+Business Media, LLC 2017	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.subject	Diagonally Implicit	en
dc.subject	DIRK	en
dc.subject	Runge-Kutta	en
dc.subject	Low-storage	en
dc.subject	Symplectic	en
dc.subject	Stiff problems	en
dc.subject	Time discretization	en
dc.subject	Composition	en
dc.title	Order barrier for low-storage DIRK methods with positive weights	en
dc.type	Artículo / Artikulua	es
dc.type	info:eu-repo/semantics/article	en
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dspace.entity.type	Publication
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