@article {Hanslien.2006.1,
	title = {On a Finite Difference Scheme for a Beeler-Reuter Based Model of Cardiac Electrical Activity},
	journal = {International Journal of Numerical Analysis and Modeling},
	volume = {3},
	number = {4},
	year = {2006},
	pages = {395-412},
	author = {Hanslien, Monica and K. H. {Karlsen} and Tveito, Aslak}
}
@article {Hanslien.2004.2,
	title = {A Maximum Principle for an Explicit Finite Difference Scheme Approximating the Hodgkin-Huxley Model},
	journal = {BIT},
	volume = {45},
	number = {4},
	year = {2005},
	month = {Dec},
	pages = {725-741},
	author = {Hanslien, Monica and K. H. {Karlsen} and Tveito, Aslak}
}
@article {bkepidemic,
	title = {Renormalized Solutions of an Anisotropic Reaction-Diffusion-Advection System With L^1 Data Modeling the Propagation of an Epidemic Disease},
	journal = {Communications on Pure and Applied Analysis},
	volume = {5},
	number = {4},
	year = {2005},
	note = {Submitted},
	pages = {733-762},
	author = {Bendahmane, M. and K. H. {Karlsen}}
}
@article {SC.4.Karlsen.2001.a,
	title = {Numerical Solution of the Polymer System by Front Tracking},
	journal = {Transp. Porous Media},
	volume = {44},
	number = {1},
	year = {2001},
	pages = {63-83},
	author = {Haugse, V. and K. H. {Karlsen} and Lie, Knut-Andreas and J. R. {Natvig}}
}
@inproceedings {SC.5.Holden.2001,
	title = {Operator Splitting for Convection-Dominated Nonlinear Partial Differential Equations},
	journal = {Godunov Methods:Theory and Applications},
	year = {2001},
	pages = {469-475},
	type = {1},
	author = {Holden, H. and K. H. {Karlsen} and Lie, Knut-Andreas and Nils Henrik {Risebro}},
	editor = {E. F. {Toro}}
}
@article {SC.4.Karlsen.2001.b,
	title = {Operator Splitting Methods for Systems of Convection-Diffusion Equations: Nonlinear Error Mechanisms and Correction Strategies},
	journal = {J. Comput. Phys.},
	volume = {173},
	number = {2},
	year = {2001},
	pages = {636-663},
	author = {K. H. {Karlsen} and Lie, Knut-Andreas and J. R. {Natvig} and H. F. {Nordhaug} and H. K. {Dahle}}
}
@article {SC.4.Karlsen.2000.c,
	title = {A Fast Marching Method for Reservoir Simulation},
	journal = {Comput. Geosci.},
	volume = {4},
	number = {2},
	year = {2000},
	pages = {185-206,},
	author = {K. H. {Karlsen} and Lie, Knut-Andreas and Nils Henrik {Risebro}}
}
@inbook {SC.4.Karlsen.2000.a,
	title = {Front Tracking and Operator Splitting for Nonlinear Degenerate Convection-Diffusion Equations},
	booktitle = {Parallel solution of partial differential equations},
	series = {IMA Vol. Math. Appl.},
	year = {2000},
	pages = {209-227,},
	publisher = {Springer},
	organization = {Springer},
	author = {Evje, Steinar and K. H. {Karlsen} and Lie, Knut-Andreas and Nils Henrik {Risebro}},
	editor = {Bj{\o}rstad, P. and Luskin, M.}
}
@article {SC.4.Karlsen.2000.b,
	title = {Numerical Methods for the Simulation of the Settling of Flocculated Suspensions},
	journal = {Chem. Eng. J.},
	volume = {80},
	year = {2000},
	pages = {91-104,},
	author = {B{\"u}rger, R. and Evje, Steinar and K. H. {Karlsen} and Lie, Knut-Andreas}
}
@article {SC.4.Holden.2000.b,
	title = {Operator Splitting Methods for Degenerate Convection-Diffusion Equations II: Numerical Examples With Emphasis on Reservoir Simulation},
	journal = {Comput. Geosci.},
	volume = {4},
	number = {4},
	year = {2000},
	pages = {287-322,},
	author = {Holden, H. and K. H. {Karlsen} and Lie, Knut-Andreas}
}
@article {SC.4.Holden.2000.a,
	title = {Operator Splitting Methods for Degenerate Convection-Diffusion Equations I: Convergence and Entropy Estimates},
	journal = {CMS Conference Proceedings},
	volume = {129},
	number = {293-316,},
	year = {2000},
	author = {Holden, H. and K. H. {Karlsen} and Lie, Knut-Andreas}
}
@inproceedings {SC.5.Karlsen.1999,
	title = {A Front Tracking Method for Conservation Laws With Boundaryconditions},
	journal = {Hyperbolic problems: theory, numerics, applications (Seventh	international conference in Z{\"u}rich, 1998)},
	year = {1999},
	pages = {493-502},
	publisher = {Birkh\&auml;user},
	type = {1},
	author = {K. H. {Karlsen} and Lie, Knut-Andreas and Nils Henrik {Risebro}},
	editor = {Fey, M. and Jeltsch, R.}
}
@article {SC.4.Karlsen.1999.a,
	title = {An Unconditionally Stable Splitting Scheme for a Class of Nonlinear Parabolic Equations},
	journal = {IMA J. Numer. Anal.},
	volume = {19},
	number = {4},
	year = {1999},
	pages = {609-636,},
	author = {K. H. {Karlsen} and Lie, Knut-Andreas}
}
@article {SC.4.Karlsen.1998.a,
	title = {The Corrected Operator Splitting Approach Applied to an Advection-Diffusion Problem},
	journal = {Comput. Methods Appl. Mech. Engrg},
	volume = {167},
	number = {3-4},
	year = {1998},
	pages = {239-260,},
	author = {K. H. {Karlsen} and Brusdal, K. and H. K. {Dahle} and Evje, Steinar and Lie, Knut-Andreas}
}
@article {SC.4.Lie.1998.a,
	title = {Dimensional Splitting With Front Tracking and Adaptive Local Grid Refinement},
	journal = {Numer. Methods Partial Differential Equations},
	volume = {14},
	number = {5},
	year = {1998},
	pages = {627-648,},
	author = {Lie, Knut-Andreas and Haugse, V. and K. H. {Karlsen}}
}
@article {SC.4.Karlsen.1998.b,
	title = {A Front-Tracking Approach to a Two-Phase Fluid-Flow Model With Capillary Forces},
	journal = {In Situ},
	volume = {22},
	number = {1},
	year = {1998},
	pages = {59-89,},
	author = {K. H. {Karlsen} and Lie, Knut-Andreas and Nils Henrik {Risebro} and F{\o}yen, J.}
}
