Centre of Mathematics for ApplicationsKenneth H. Karlsen
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  1. R. Bürger and K. H. Karlsen.
    On strongly degenerate parabolic problems with discontinuous coefficients. [PDF]
    Monografías del Seminario Matemático García de Galdeano 31, 71–81 (2004).
    Click here for the journal version

  2. 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.

  3. 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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  4. 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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  5. 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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  6. 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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  7. 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.

  8. 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):725–741, 2005.
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  9. 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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  10. 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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  11. 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):37–67, 2005.
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  12. 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).

  13. 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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  14. 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.

  15. 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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  16. 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):1044–1069, 2006.
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