107 citations · 250 across the 39 of their papers we have counts for
5 papers · 2 filters
Operator splitting for the KdV equation
Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro +1
We provide a new analytical approach to operator splitting for equations of the type where is a linear operator and is quadratic. A particular example is the…
Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE
I. H. Biswas, E. R. Jakobsen, K. H. Karlsen
We derive and analyze monotone difference-quadrature schemes for Bellman equations of controlled Levy (jump-diffusion) processes. These equations are fully non-linear, degenerate p…
The discontinuous Galerkin method for fractal conservation laws
Simone Cifani, Espen R. Jakobsen, Kenneth H. Karlsen
We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservation laws. Various stability estimates are established along with error estimates for regul…
Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations
Kenneth H. Karlsen, Suleyman Ulusoy
We analyze entropy solutions for a class of Levy mixed hyperbolicparabolic equations containing a non-local (or fractional) diffusion operator originating from a pure jump Levy pro…
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations
Boris Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen
We consider a class of doubly nonlinear degenerate hyperbolic-parabolic equations with homogeneous Dirichlet boundary conditions, for which we first establish the existence and uni…