3 citations · 4 across the 2 of their papers we have counts for
6 papers
Numerical methods for conservation laws with rough flux
Håkon Hoel, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro +1
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, i…
Path-dependent convex conservation laws
Håkon Hoel, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro +1
For scalar conservation laws driven by a rough path , in the sense of Lions, Perthame and Souganidis in arXiv:1309.1931, we show that it is possible to replace by a pi…
Analysis of a splitting method for stochastic balance laws
Erlend B. Storrøsten, Kenneth H. Karlsen
We analyze a semi-discrete splitting method for conservation laws driven by a semilinear noise term. Making use of fractional estimates, we show that the splitting method prod…
On stochastic conservation laws and Malliavin calculus
Kenneth Hvistendahl Karlsen, Erlend Briseid Storrøsten
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 d…
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
Kenneth Hvistendahl Karlsen, Nils Henrik Risebro, Erlend Briseid Storrøsten
We analyze upwind difference methods for strongly degenerate convection-diffusion equations in several spatial dimensions. We prove that the local -error between the exact and…
L1 Error Estimates for Difference Approximations Of Degenerate Convection-Diffusion Equations
Kenneth H. Karlsen, Nils Henrik Risebro, Erlend B. Storrøsten
We analyze monotone difference schemes for strongly degenerate convection-diffusion equations in one spatial dimension. These nonlinear equations are well-posed within a class of (…