107 citations · 250 across the 39 of their papers we have counts for
3 papers · 1 filter
On Nonlinear Stochastic Balance Laws
Gui-Qiang G. Chen, Qian Ding, Kenneth H. Karlsen
We are concerned with multidimensional stochastic balance laws. We identify a class of nonlinear balance laws for which uniform spatial bounds for vanishing viscosity approxim…
Operator splitting for two-dimensional incompressible fluid equations
Helge Holden, Kenneth H. Karlsen, Trygve K. Karper
We analyze splitting algorithms for a class of two-dimensional fluid equations, which includes the incompressible Navier-Stokes equations and the surface quasi-geostrophic equation…
An error estimate for the finite difference approximation to degenerate convection -diffusion equations
K. H. Karlsen, U. Koley, N. H. Risebro
We consider semi-discrete first-order finite difference schemes for a nonlinear degenerate convection-diffusion equations in one space dimension, and prove an L1 error estimate. Pr…