Publications
Found 15 scientific publications (published or accepted for publication in forums with peer review).
Simula has implemented a set of publication guidelines based on the Vancouver Convention, which are enforced for all publications available in our online database.
2006
Articles in International Journals
M. Hanslien, K. H. Karlsen, and A. Tveito. On a finite difference scheme for a Beeler-Reuter based model of cardiac electrical activity, Int J of Num Anal and Mod 3(4):395-412, 2006.
2005
Articles in International Journals
M. Hanslien, K. H. Karlsen, and A. Tveito. A maximum principle for an explicit finite difference scheme approximating the Hodgkin-Huxley model, BIT 45(4):725 - 741, 2005.
2001
Articles in International Journals
V. Haugse, K. H. Karlsen, K.-A. Lie, and J. R. Natvig. Numerical solution of the polymer system by front tracking, Transp. Porous Media 44(1):63-83, 2001.
K. H. Karlsen, K.-A. Lie, J. R. Natvig, H. F. Nordhaug, and H. K. Dahle. Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies, J. Comp. Phys 173(2):636-663, 2001.
Refereed Proceedings
H. Holden, K. H. Karlsen, K.-A. Lie, and N. H. Risebro. Operator splitting for convection-dominated nonlinear partial differential equations, In: Godunov Methods:Theory and Applications, ed. by E. F. Toro, pp. 469-475, 2001.
2000
Articles in International Journals
R. Bürger, S. Evje, K. H. Karlsen, and K.-A. Lie. Numerical methods for the simulation of the settling of flocculated suspensions, Chem. Eng. J. 80:91-104,, 2000.
H. Holden, K. H. Karlsen, and K.-A. Lie. Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates, CMS Conference Proceedings 129(293-316,), 2000.
H. Holden, K. H. Karlsen, and K.-A. Lie. Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation, Comp. Geosci. 4(4):287-322,, 2000.
K. H. Karlsen, K.-A. Lie, and N. H. Risebro. A fast marching method for reservoir simulation, Comp. Geosci. 4(2):185-206,, 2000.
Chapters in Books
S. Evje, K. H. Karlsen, K.-A. Lie, and N. H. Risebro. Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations, In: Parallel solution of partial differential equations, ed. by P. Bjørstad and M. Luskin. Springer-Verlag, pp. 209-227,. IMA Vol. Math. Appl., 2000.
1999
Articles in International Journals
K. H. Karlsen and K.-A. Lie. An unconditionally stable splitting scheme for a class of nonlinear parabolic equations, IMA J. Num. Anal. 19(4):609-636,, 1999.
Refereed Proceedings
K. H. Karlsen, K.-A. Lie, and N. H. Risebro. A front tracking method for conservation laws with boundaryconditions, In: Hyperbolic problems: theory, numerics, applications (Seventh international conference in Zürich, 1998), ed. by M. Fey and R. Jeltsch, pp. 493-502, Birkhäuser. Int. Series of Numerical Mathematics, 1999.
1998
Articles in International Journals
K. H. Karlsen, K. Brusdal, H. K. Dahle, S. Evje, and K.-A. Lie. The corrected operator splitting approach applied to an advection-diffusion problem, Comput. Methods Appl. Mech. Engrg 167(3-4):239-260,, 1998.
K. H. Karlsen, K.-A. Lie, N. H. Risebro, and J. Føyen. A front-tracking approach to a two-phase fluid-flow model with capillary forces, In Situ 22(1):59-89,, 1998.
K.-A. Lie, V. Haugse, and K. H. Karlsen. Dimensional splitting with front tracking and adaptive local grid refinement, Numer. Methods Partial Differential Equations 14(5):627-648,, 1998.
