dc.contributor.author | Celledoni, Elena | |
dc.contributor.author | Eidnes, Sølve | |
dc.contributor.author | Owren, Brynjulf | |
dc.contributor.author | Ringholm, Torbjørn | |
dc.date.accessioned | 2019-01-22T10:32:25Z | |
dc.date.available | 2019-01-22T10:32:25Z | |
dc.date.created | 2018-05-22T17:21:03Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 1064-8275 | |
dc.identifier.uri | http://hdl.handle.net/11250/2581723 | |
dc.description.abstract | This paper concerns an extension of discrete gradient methods to finite-dimensional Riemannian manifolds termed discrete Riemannian gradients, and their application to dissipative ordinary differential equations. This includes Riemannian gradient flow systems which occur naturally in optimization problems. The Itoh--Abe discrete gradient is formulated and applied to gradient systems, yielding a derivative-free optimization algorithm. The algorithm is tested on two eigenvalue problems and two problems from manifold valued imaging: interferometric synthetic aperture radar denoising and diffusion tensor imaging denoising. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Society for Industrial and Applied Mathematics | nb_NO |
dc.relation.uri | https://arxiv.org/pdf/1804.08104.pdf | |
dc.title | Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.volume | 40 | nb_NO |
dc.source.journal | SIAM Journal on Scientific Computing | nb_NO |
dc.source.issue | 6 | nb_NO |
dc.identifier.doi | 10.1137/18M1190628 | |
dc.identifier.cristin | 1586065 | |
dc.relation.project | Norges forskningsråd: 231632 | nb_NO |
dc.description.localcode | Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |