Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements

Higueras Sanz, Inmaculada; Roldán Marrodán, Teodoro

Publication:
Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements

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	2015-10-01T08:59:48Z
dc.date.available	2017-06-01T23:00:11Z
dc.date.issued	2016
dc.description	The final publication is available at Springer via http://dx.doi.org/ 10.1007/s10915-015-0116-2	en
dc.description.abstract	Space discretization of some time-dependent partial differential equations gives rise to systems of ordinary differential equations in additive form whose terms have different stiffness properties. In these cases, implicit methods should be used to integrate the stiff terms while efficient explicit methods can be used for the non-stiff part of the problem. However, for systems with a large number of equations, memory storage requirement is also an important issue. When the high dimension of the problem compromises the computer memory capacity, it is important to incorporate low memory usage to some other properties of the scheme. In this paper we consider Additive Semi-Implicit Runge-Kutta (ASIRK) methods, a class of implicitexplicit Runge-Kutta methods for additive differential systems. We construct two second order 3-stage ASIRK schemes with low-storage requirements. Having in mind problems with stiffness parameters, besides accuracy and stability properties, we also impose stiff accuracy conditions. The numerical experiments done show the advantages of the new methods.	es_ES
dc.description.sponsorship	Supported by Ministerio de Economía y Competividad, project MTM2011-23203.	en
dc.embargo.lift	2017-06-01
dc.embargo.terms	2017-06-01
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1007/s10915-015-0116-2
dc.identifier.issn	1573-7691 (Electronic)
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/18334
dc.language.iso	eng	en
dc.publisher	Springer US	en
dc.relation.ispartof	Journal of Scientific Computing (2016) 67:1019–1042	en
dc.relation.projectID	info:eu-repo/grantAgreement/MICINN//MTM2011-23203/ES/	en
dc.relation.publisherversion	https://dx.doi.org/10.1007/s10915-015-0116-2
dc.rights	© Springer Science+Business Media New York 2015	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.subject	Additive Runge-Kutta methods	en
dc.subject	Strong stability preserving	en
dc.subject	Low-storage	en
dc.subject	Stiff problems	en
dc.subject	Time discretization schemes	en
dc.title	Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements	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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