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- W4299943383 abstract "We prove that front tracking approximations to entropy solutions of 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: $Delta x^{1+1/p}$, $p in [1,infty]$." @default.
- W4299943383 created "2022-10-03" @default.
- W4299943383 creator A5061667274 @default.
- W4299943383 date "2018-04-23" @default.
- W4299943383 modified "2023-09-30" @default.
- W4299943383 title "Convergence rates of the front tracking method for conservation laws in the Wasserstein distances" @default.
- W4299943383 doi "https://doi.org/10.48550/arxiv.1804.08311" @default.
- W4299943383 hasPublicationYear "2018" @default.
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