dc.contributor.author | Galtung, Sondre Tesdal | |
dc.date.accessioned | 2017-11-14T08:36:27Z | |
dc.date.available | 2017-11-14T08:36:27Z | |
dc.date.created | 2017-11-13T10:33:43Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Discrete and Continuous Dynamical Systems. 2018, 38 (3), . | nb_NO |
dc.identifier.issn | 1078-0947 | |
dc.identifier.uri | http://hdl.handle.net/11250/2466052 | |
dc.description.abstract | In this paper we prove the convergence of a Crank–Nicolson type Galerkin finite element scheme for the initial value problem associated to the Benjamin–Ono equation. The proof is based on a recent result for a similar discrete scheme for the Korteweg–de Vries equation and utilizes a local smoothing effect to bound the H1/2 -norm of the approximations locally. This enables us to show that the scheme converges strongly in L2 (0, T; L2 loc(R)) to a weak solution of the equation for initial data in L2 (R) and some T > 0. Finally we illustrate the method with some numerical examples | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | nb_NO |
dc.title | A Convergent Crank–Nicolson Galerkin Scheme for the Benjamin–Ono Equation | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | submittedVersion | nb_NO |
dc.source.pagenumber | 26 | nb_NO |
dc.source.volume | 38 | nb_NO |
dc.source.journal | Discrete and Continuous Dynamical Systems | nb_NO |
dc.source.issue | 3 | nb_NO |
dc.identifier.doi | 10.3934/dcds.2018051 | |
dc.identifier.cristin | 1513380 | |
dc.description.localcode | This is a submitted manuscript of an article to be published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - Series A, 2018 | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | false | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |