Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Erlend Briseid Storrøsten"'
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations. 8:186-261
Finite volume methods are proposed for computing approximate pathwise entropy/kinetic solutions to conservation laws with a rough path dependent flux function. For a convex flux, it is demonstrated that rough path oscillations may lead to "cancellati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d065e58045921b700d7e705b6788eea
https://doi.org/10.1007/s40072-019-00145-7
https://doi.org/10.1007/s40072-019-00145-7
Publikováno v:
Engineering Geology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01bb1d4e537cf0c87969dfb618cacee6
https://doi.org/10.1016/j.enggeo.2022.106657
https://doi.org/10.1016/j.enggeo.2022.106657
Publikováno v:
Journal of Differential Equations. 265:2708-2744
For scalar conservation laws driven by a rough path $z(t)$, in the sense of Lions, Perthame and Souganidis in arXiv:1309.1931, we show that it is possible to replace $z(t)$ by a piecewise linear path, and still obtain the same solution at a given tim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32592e5264ea8215ac6c2a825a70bc5f
https://doi.org/10.1016/j.jde.2018.04.045
https://doi.org/10.1016/j.jde.2018.04.045
Publikováno v:
Journal of Functional Analysis. 272:421-497
For stochastic conservation laws driven by a semilinear noise term, we propose a generalization of the Kružkov entropy condition by allowing the Kružkov constants to be Malliavin differentiable random variables. Existence and uniqueness results are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75875a8942f1ff48bda86f21f4e28165
https://doi.org/10.1016/j.jfa.2016.09.020
https://doi.org/10.1016/j.jfa.2016.09.020
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 50:499-539
We analyze upwind difference methods for strongly degenerate convection-diffusion equations in several spatial dimensions. We prove that the local L 1 -error between the exact and numerical solutions is 𝓞( Δx 2 / (19 + d ) ), where d is the spati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e434d8238b5d4f30c6afe60f96f8f35a
https://doi.org/10.1051/m2an/2015057
https://doi.org/10.1051/m2an/2015057
Publikováno v:
Innovative Algorithms and Analysis ISBN: 9783319492612
We investigate the convergence rates of numerical schemes for degenerate convection diffusion equations. Recent results bound these rates as 1∕3 in one space dimension and 2∕(19 + d) in several space dimension. In our numerical experiments, we ob
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18be82b82e46617c733d0b5100fef470
https://doi.org/10.1007/978-3-319-49262-9_9
https://doi.org/10.1007/978-3-319-49262-9_9
We analyse a semidiscrete splitting method for conservation laws driven by a semilinear noise term. Making use of fractional bounded variation (BV) estimates, we show that the splitting method generates approximate solutions converging to the exact s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c0bca90813a87a581a9b9df14544b9b
http://arxiv.org/abs/1601.02428
http://arxiv.org/abs/1601.02428