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math.AP2012★ 1 cited
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 (…
math.NA2012
Operator splitting for well-posed active scalar equations
Helge Holden, Kenneth H. Karlsen, Trygve K. Karper
We analyze operator splitting methods applied to scalar equations with a nonlinear advection operator, and a linear (local or nonlocal) diffusion operator or a linear dispersion op…