dc.contributor.author | Fjordholm, Ulrik Skre | |
dc.contributor.author | Lye, Kjetil | |
dc.contributor.author | Mishra, Siddhartha | |
dc.contributor.author | Weber, Franziska | |
dc.date.accessioned | 2020-04-14T07:42:58Z | |
dc.date.available | 2020-04-14T07:42:58Z | |
dc.date.created | 2020-04-10T08:08:25Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0218-2025 | |
dc.identifier.uri | https://hdl.handle.net/11250/2650879 | |
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. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | World Scientific Publishing | en_US |
dc.title | Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.journal | Mathematical Models and Methods in Applied Sciences | en_US |
dc.identifier.doi | 10.1142/S0218202520500141 | |
dc.identifier.cristin | 1805799 | |
dc.description.localcode | Locked until 20.3.2021 due to copyright restrictions. This is an [Accepted Manuscript] of an article published by World Scientific Publishing, available at http://dx.doi.org/10.1142/S0218202520500141 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |