dc.date.accessioned | 2020-07-16T17:53:03Z | |
dc.date.available | 2021-03-20T23:45:45Z | |
dc.date.created | 2020-04-10T08:08:25Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Fjordholm, Ulrik Skre Lye, Kjetil Mishra, Siddhartha Weber, Franziska . Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation. Mathematical Models and Methods in Applied Sciences. 2020 | |
dc.identifier.uri | http://hdl.handle.net/10852/78003 | |
dc.description.abstract | Statistical solutions are time-parameterized probability measures on spaces of integrable functions, which have been proposed recently as a framework for global solutions and uncertainty quantification for multi-dimensional hyperbolic system of conservation laws. By combining high-resolution finite volume methods with a Monte Carlo sampling procedure, we present a numerical algorithm to approximate statistical solutions. Under verifiable assumptions on the finite volume method, we prove that the approximations, generated by the proposed algorithm, converge in an appropriate topology to a statistical solution. Numerical experiments illustrating the convergence theory and revealing interesting properties of statistical solutions are also presented. | |
dc.language | EN | |
dc.title | Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation | |
dc.type | Journal article | |
dc.creator.author | Fjordholm, Ulrik Skre | |
dc.creator.author | Lye, Kjetil | |
dc.creator.author | Mishra, Siddhartha | |
dc.creator.author | Weber, Franziska | |
cristin.unitcode | 185,15,13,45 | |
cristin.unitname | Differensiallikninger og beregningsorientert matematikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 1805799 | |
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=Mathematical Models and Methods in Applied Sciences&rft.volume=&rft.spage=&rft.date=2020 | |
dc.identifier.jtitle | Mathematical Models and Methods in Applied Sciences | |
dc.identifier.volume | 30 | |
dc.identifier.issue | 03 | |
dc.identifier.startpage | 539 | |
dc.identifier.endpage | 609 | |
dc.identifier.doi | https://doi.org/10.1142/S0218202520500141 | |
dc.identifier.urn | URN:NBN:no-81112 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0218-2025 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/78003/1/FLMW-POSTPRINT.pdf | |
dc.type.version | AcceptedVersion | |