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A hybrid finite-volume scheme with learned rational reconstructions and exact nonlocal fluxes for the space-fractional Burgers equation

Song, Zeyuan et al.
arXiv (All) · Papers
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analysis-of-pdes
On coarse grids, fronts of fractional conservation laws can be narrower than one cell, while the flux through each face depends on the whole domain. For the forced space-fractional Burgers equation, we write the finite-volume defect exactly, with the Riesz flux acting as a nonlocal interface flux. O
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