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dc.contributor.authorAmat Plata, Sergio 
dc.contributor.authorJosé Legaz, María 
dc.contributor.authorPedregal Tercero, Pablo
dc.identifier.citationAmat S, Legaz MJ, Pedregal P. Some Remarks on a Variational Method for Stiff Differential Equations. Mathematics. 2019; 7(5):455.
dc.description.abstractWe have recently proposed a variational framework for the approximation of systems of differential equations. We associated, in a natural way, with the original problem, a certain error functional. The discretization is based on standard descent schemes, and we can use a variable-step implementation. The minimization problem has a unique solution, and the approach has a global convergence. The use of our error-functional strategy was considered by other authors, but using a completely different way to derive the discretization. Their technique was based on the use of an integral form of the Euler equation for a related optimal control problem, combined with an adapted version of the shooting method, and the cyclic coordinate descent method. In this note, we illustrate and compare our strategy to theirs from a numerical point of view.es_ES
dc.description.sponsorshipProyecto financiado por la Comunidad Autonoma de la Region de Murcia a traves de la convocatoria de Ayudas a proyectos para el desarrollo de investigacion cientifica y tecnica por grupos competitivos, incluida en el Programa Regional de Fomento de la Investigacion Cientifica y Tecnica (Plan de Actuacion 2018) de la Fundacion Seneca-Agencia de Ciencia y Tecnologia de la Region de Murcia 20928/PI/18, MTM2015-64382-P (MINECO/FEDER). This research was also funded by grants MTM2013-47053-P, PEII-2014-010-P of the Conserjeria de Cultura (JCCM) and by grant GI20152919 of UCLM.es_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.titleSome remarks on a variational method for stiff differential equationses_ES
dc.subjectVariational methodses_ES
dc.subjectError functionales_ES
dc.subjectStiff problemses_ES
dc.subjectVariable step implementationes_ES
dc.subject.otherMatemática Aplicadaes_ES
dc.subject.unesco12 Matemáticases_ES
dc.contributor.convenianteUniversidad Politécnica de Cartagenaes_ES
dc.contributor.convenianteUniversidad de Cádizes_ES
dc.contributor.convenianteUniversidad de Castilla-La Manchaes_ES

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Atribución-NoComercial-SinDerivadas 3.0 España
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España