dc.contributor.author | Solem, Susanne | |
dc.contributor.author | Fjordholm, Ulrik Skre | |
dc.contributor.author | Carrillo, José A | |
dc.date.accessioned | 2021-02-26T07:13:06Z | |
dc.date.available | 2021-02-26T07:13:06Z | |
dc.date.created | 2020-09-03T09:10:54Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0025-5718 | |
dc.identifier.uri | https://hdl.handle.net/11250/2730526 | |
dc.description.abstract | Abstract: Inspired by so-called TVD limiter-based second-order schemes for hyperbolic conservation laws, we develop a formally second-order accurate numerical method for multi-dimensional aggregation equations. The method allows for simulations to be continued after the first blow-up time of the solution. In the case of symmetric, $ \lambda $-convex potentials with a possible Lipschitz singularity at the origin, we prove that the method converges in the Monge-Kantorovich distance towards the unique gradient flow solution. Several numerical experiments are presented to validate the second-order convergence rate and to explore the performance of the scheme. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.title | A second-order numerical method for the aggregation equations | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.journal | Mathematics of Computation | en_US |
dc.identifier.doi | 10.1090/mcom/3563 | |
dc.identifier.cristin | 1826954 | |
dc.description.localcode | © 2020. This is the authors' accepted and refereed manuscript to the article. The final authenticated version is available online at: http://dx.doi.org/10.1090/mcom/3563 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |