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dc.contributor.authorAlonso Mallo, Isaías 
dc.contributor.authorPortillo de la Fuente, Ana María 
dc.date.accessioned2020-04-03T17:15:39Z
dc.date.available2020-04-03T17:15:39Z
dc.date.issued2018
dc.identifier.citationJournal of Computational and Applied Mathematics Volume 333, 1 May 2018, Pages 185-199es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/40699
dc.description.abstractThe Klein–Gordon equation on an infinite two dimensional strip is considered. Numerical computation is reduced to a finite domain by using the Hagstrom–Warburton (H–W) absorbing boundary conditions (ABCs) with free parameters in the formulation of the auxiliary variables. The spatial discretization is achieved by using fourth order finite differences and the time integration is made by means of an efficient and easy to implement fourth order exponential splitting scheme which was used in Alonso-Mallo and Portillo (2016) considering the fixed Padé parameters in the formulation of the ABCs. Here, we generalize the splitting time technique to other choices of the parameters. To check the timeintegrator we consider, on one hand, fourty peso ffixed parameters, the Newmann’s parameters, the Chebyshev’s parameters, the Padé’s parameters and optimal parameters proposed in Hagstrom et al. (2007) and, on the other hand, an adaptive scheme for the dynamic control of the order of absorption and the parameters. We study the efficiency of the splitting scheme by comparing with thefourth-order four-stage Runge–Kutta method.es
dc.format.mimetypeapplication/pdfes
dc.language.isospaes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.titleTime exponential splitting integrator for the Klein–Gordon equation with free parameters in the Hagstrom–Warburton absorbing boundary conditionses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doihttps://doi.org/10.1016/j.cam.2017.10.038es
dc.peerreviewedSIes
dc.description.projectMTM2015-66837-P del Ministerio de Economía y Competitividades
dc.type.hasVersioninfo:eu-repo/semantics/draftes


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