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- R. Bürger and K. H. Karlsen.
On strongly degenerate parabolic problems with discontinuous coefficients. [PDF]
Monografías del Seminario Matemático García de Galdeano 31, 7181 (2004).
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- M. Bendahmane and K. H. Karlsen.
Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations. [PDF]
Contemporary Mathematics, Volume 371, Amer. Math. Soc., pp. 1-27, 2005.
- R. Bürger, K. H. Karlsen, and J. D. Towers.
Closed-form and finite difference solutions to a population balance model of grinding mills. [PDF]
J. Eng. Math., Vol. 51, No. 2 (2005), 165-195.
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- E. R. Jakobsen and K. H. Karlsen.
Continuous dependence estimates for viscosity solutions of integro-PDEs. [PDF]
J. Differential Equations 212 (2005), no. 2, 278-318.
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- R. Bürger, K. H. Karlsen, and J. D. Towers.
A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. [PDF]
SIAM J. Appl. Math. Vol. 65, No. 3 (2005), pp. 882-940.
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- R. Bürger, K. H. Karlsen, and J. D. Towers.
Mathematical model and numerical simulation of the dynamics of flocculated suspensions in clarifier-thickeners. [PDF]
Chemical Engineering Journal 111 (2005), 119-134.
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- F. E. Benth and K. H. Karlsen.
A note on Merton's portfolio selection problem for the Schwartz mean-reversion model. [PDF]
Stochastic Analysis and Applications, Vol. 23, No. 4 (2005), pp. 687-704.
- M. Hanslien, K. H. Karlsen, and A. Tveito.
A maximum principle for an explicit finite difference scheme approximating the Hodgkin-Huxley model. [PDF]
BIT Numerical Mathematics 45(4):725741, 2005.
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- M. Bendahmane and K. H. Karlsen.
Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres. [PDF]
Electron. J. Differential Equations, Vol. 2006(2006), No. 46, pp. 1-30.
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- G.-Q. Chen and K. H. Karlsen.
Quasi-linear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients. [PDF]
Commun. Pure Appl. Anal., Vol. 4, No. 2 (2005), pp. 241-266.
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- E. R. Jakobsen and K. H. Karlsen.
Convergence rates for semi-discrete splitting approximations for degenerate parabolic equations with source terms. [PDF]
BIT Numerical Mathematics 45(1):3767, 2005.
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- R. Bürger, K. H. Karlsen, S. Mishra, and J. D. Towers.
On conservation laws with discontinuous flux. [PDF]
In: Y. Wang and K. Hutter (Eds.), Trends in Applications of Mathematics to Mechanics, Shaker Verlag, Aachen, pages 75-84 (2005).
- G. M. Coclite, H. Holden, and K. H. Karlsen.
Wellposedness for a parabolic-elliptic system. [PDF]
Discrete Contin. Dyn. Syst., Volume 13, Number 3, August 2005, pp. 659-682.
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- T. K. Nilssen, K. H. Karlsen, T. Mannseth, and X.-C. Tai.
Identification of diffusion parameters in a nonlinear convection--diffusion equation using the augmented Lagrangian method. [PDF]
To appear in Computational Geosciences.
- M. Hanslien, K. H. Karlsen, and A. Tveito.
On a finite difference scheme for a Beeler-Reuter based model of cardiac electrical activity. [PDF]
International Journal of Numerical Analysis & Modeling, 3(4):395-412, 2006.
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- G. M. Coclite, H. Holden, and K. H. Karlsen.
Global weak solutions to a generalized hyperelastic-rod wave equation. [PDF]
SIAM J. Math. Anal., 37(4):10441069, 2006.
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