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- M. S. Espedal and K. H. Karlsen.
Numerical solution of reservoir flow models based on large time step operator splitting algorithms.
Filtration in Porous Media and Industrial Applications (Cetraro, Italy 1998), 9-77, Lecture Notes in Math., 1734, Springer, Berlin, 2000.
You can order "Lecture Notes in Math. 1734" by clicking here.
- R. Bürger, F. Concha, K. K. Fjelde, and K. H. Karlsen.
Numerical simulation of the settling of polydisperse suspensions of spheres.
Powder Technol. 113 (2000), 30-54.
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- R. Bürger, S. Evje, K. H. Karlsen, and K.-A. Lie.
Numerical methods for the simulation of the settling of flocculated suspensions.
Chemical Engineering Journal 80 (2000), 91-104.
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- V. Haugse, K. H. Karlsen, K.-A. Lie, and J. R. Natvig.
Numerical solution of the polymer system by front tracking.
Transport in Porous Media Vol 44, No 1, 2001, p 63-83.
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- K. H. Karlsen, K.-A. Lie, and N. H. Risebro.
A fast marching method for reservoir simulation.
Computational Geosciences 4, No. 2, 185-206, 2000.
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- F. E. Benth, K. H. Karlsen, and K. Reikvam.
Optimal portfolio selection with consumption and nonlinear integro-differential equations with gradient constraint: A viscosity solution approach.
Finance and Stochastics 5 (2001) 3 pp 275-303.
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- R. Bürger, S. Evje, and K. H. Karlsen.
On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes.
J. Math. Anal. Appl. 247 (2000), no. 2, 517-556.
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- K. K. Fjelde and K. H. Karlsen.
High-resolution hybrid primitive-conservative upwind schemes for the drift flux model.
Computers & Fluids 31 (2002) 335-367.
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- R. Bürger and K. H. Karlsen.
Analysis and numerics of strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes.
In J.R. Whiteman (Ed.), "The Mathematics of Finite Elements and Applications X: MAFELAP 1999", Elsevier Science, Amsterdam (2000), pp. 215-224.
- K. K. Fjelde and K. H. Karlsen.
A hybrid primitive-conservative upwind scheme for the drift flux model.
In "Godunov Methods: Theory & Applications", Edited Review, E. F. Toro (editor), Kluwer Academic/Plenum Publishers, 2000, pp. 319-326.
- 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 & Applications", Edited Review, E. F. Toro (editor), Kluwer Academic/Plenum Publishers, 2000, pp. 469-475.
- H. Holden, K. H. Karlsen, and K.-A. Lie.
Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates.
Stochastic processes, physics and geometry: new interplays, II (Leipzig, 1999), 293-316, CMS Conf. Proc., 29, Amer. Math. Soc., Providence, RI, 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 and sedimentation
Computational Geosciences 4, No.4, 287-322 (2000).
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