Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Karlsen, Kenneth Hvistendahl"'
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:
http://arxiv.org/abs/1802.00708
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:
http://arxiv.org/abs/1711.01841
For stochastic conservation laws driven by a semilinear noise term, we propose a generalization of the Kru\v{z}kov entropy condition by allowing the Kru\v{z}kov constants to be Malliavin differentiable random variables. Existence and uniqueness resul
Externí odkaz:
http://arxiv.org/abs/1507.05518
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 $\mathcal{O}(\Delta x^{2/(19+d)})$, where $d$
Externí odkaz:
http://arxiv.org/abs/1411.4538
Publikováno v:
SIAM Journal on Numerical Analysis, 2002 Jan 01. 39(2), 499-518.
Externí odkaz:
https://www.jstor.org/stable/3062008
Publikováno v:
SIAM Journal on Numerical Analysis, 2000 Jan 01. 37(3), 980-1003.
Externí odkaz:
https://www.jstor.org/stable/2587323
Publikováno v:
SIAM Journal on Numerical Analysis, 2000 Jan 01. 37(6), 1838-1860.
Externí odkaz:
https://www.jstor.org/stable/2587350
Publikováno v:
Karlsen, Kenneth Hvistendahl Risebro, Nils Henrik Storrøsten, Erlend Briseid . Practical Convergence Rates for Degenerate Parabolic Equations. Innovative Algorithms and Analysis. 2017, 243-263 Springer
Externí odkaz:
http://hdl.handle.net/10852/68797
https://www.duo.uio.no/bitstream/handle/10852/68797/1/numtest_springer.pdf
https://www.duo.uio.no/bitstream/handle/10852/68797/1/numtest_springer.pdf
Publikováno v:
Mathematics of Computation, 2009 Jan 01. 78(265), 55-78.
Externí odkaz:
https://www.jstor.org/stable/40234764