dc.contributor.author | Solem, Susanne | |
dc.date.accessioned | 2019-04-10T11:05:11Z | |
dc.date.available | 2019-04-10T11:05:11Z | |
dc.date.created | 2019-01-20T14:49:09Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | SIAM Journal on Numerical Analysis. 2018, 56 (6), 3648-3666. | nb_NO |
dc.identifier.issn | 0036-1429 | |
dc.identifier.uri | http://hdl.handle.net/11250/2594032 | |
dc.description.abstract | We prove that front tracking approximations to scalar conservation laws with convex fluxes converge at a rate of $\Delta x^2$ in the 1-Wasserstein distance $W_1$. Assuming positive initial data, we also show that the approximations converge at a rate of $\Delta x$ in the $\infty$-Wasserstein distance $W_\infty$. Moreover, from a simple interpolation inequality between $W_1$ and $W_\infty$ we obtain convergence rates in all the $p$-Wasserstein distances: $\Delta x^{1+1/p}$, $p \in [1,\infty]$. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Society for Industrial and Applied Mathematics | nb_NO |
dc.title | Convergence Rates of the Front Tracking Method for Conservation Laws in the Wasserstein Distances | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 3648-3666 | nb_NO |
dc.source.volume | 56 | nb_NO |
dc.source.journal | SIAM Journal on Numerical Analysis | nb_NO |
dc.source.issue | 6 | nb_NO |
dc.identifier.doi | https://doi.org/10.1137/18M1189488 | |
dc.identifier.cristin | 1661216 | |
dc.description.localcode | © 2018. This is the authors' accepted and refereed manuscript to the article. The final authenticated version is available online at: https://doi.org/10.1137/18M1189488 | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |