dc.date.accessioned | 2021-03-25T20:41:57Z | |
dc.date.available | 2021-03-25T20:41:57Z | |
dc.date.created | 2020-06-18T11:00:56Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Hoel, Håkon Karlsen, Kenneth Hvistendahl Risebro, Nils Henrik Storrøsten, Erlend Briseid . Numerical methods for conservation laws with rough flux. Stochastics and Partial Differential Equations: Analysis and Computations. 2020, 8(1), 186-261 | |
dc.identifier.uri | http://hdl.handle.net/10852/84829 | |
dc.description.abstract | Finite volume methods are proposed for computing approximate pathwise entropy/kinetic solutions to conservation laws with flux functions driven by low-regularity paths. For a convex flux, it is demonstrated that driving path oscillations may lead to “cancellations” in the solution. Making use of this property, we show that for α-Hölder continuous paths the convergence rate of the numerical methods can improve from O(COST−γ), for some γ∈[α/(12−8α),α/(10−6α)], with α∈(0,1), to O(COST−min(1/4,α/2)). Numerical examples support the theoretical results. | |
dc.language | EN | |
dc.title | Numerical methods for conservation laws with rough flux | |
dc.type | Journal article | |
dc.creator.author | Hoel, Håkon | |
dc.creator.author | Karlsen, Kenneth Hvistendahl | |
dc.creator.author | Risebro, Nils Henrik | |
dc.creator.author | Storrøsten, Erlend Briseid | |
cristin.unitcode | 185,15,13,45 | |
cristin.unitname | Differensiallikninger og beregningsorientert matematikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1816110 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Stochastics and Partial Differential Equations: Analysis and Computations&rft.volume=8&rft.spage=186&rft.date=2020 | |
dc.identifier.jtitle | Stochastics and Partial Differential Equations: Analysis and Computations | |
dc.identifier.volume | 8 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 186 | |
dc.identifier.endpage | 261 | |
dc.identifier.doi | https://doi.org/10.1007/s40072-019-00145-7 | |
dc.identifier.urn | URN:NBN:no-87598 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 2194-0401 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/84829/2/hkrs.pdf | |
dc.type.version | AcceptedVersion | |
dc.relation.project | NFR/250674 | |