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8 Result(s)

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  1. No Access

    Chapter and Conference Paper

    Relaxation Schemes for Conservation Laws with Discontinuous Coefficients

    We study relaxation schemes for conservation laws with discontinuous coefficients, and compare these numerically with an Engquist-Osher type scheme and with a front tracking method. If the coefficients are of ...

    K. H. Karlsen, C. Klingenberg, N. H. Risebro in Hyperbolic Problems: Theory, Numerics, App… (2003)

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    Chapter and Conference Paper

    On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area

    We study a clarifier-thickener unit considering that its cross-sectional area is not constant in both the clarification and the thickening zones. A mathematical model of sedimentation in such a vessel can be f...

    R. Bürger, K. H. Karlsen, N. H. Risebro… in Hyperbolic Problems: Theory, Numerics, App… (2003)

  3. No Access

    Article

    Monotone difference approximations for the simulation of clarifier-thickener units

    Clarifier-thickener units treating ideal suspensions can be modeled as an initial-value problem for a nonconvex scalar conservation law whose flux depends on a vector of discontinuous parameters. This problem ...

    R. Bürger, K.H. Karlsen, N.H. Risebro… in Computing and Visualization in Science (2004)

  4. No Access

    Article

    Convergence Rates for Semi-Discrete Splitting Approximations for Degenerate Parabolic Equations with Source Terms

    We study a semi-discrete splitting method for computing approximate viscosity solutions of the initial value problem for a class of nonlinear degenerate parabolic equations with source terms. It is fairly sta...

    E. R. Jakobsen, K. H. Karlsen in BIT Numerical Mathematics (2005)

  5. No Access

    Chapter and Conference Paper

    Global Weak Solutions for a Shallow Water Equation

    G. M. Coclite, H. Holden, K. H. Karlsen in Hyperbolic Problems: Theory, Numerics, App… (2008)

  6. No Access

    Chapter and Conference Paper

    A Hyperbolic-Elliptic Model for Coupled Well-Porous Media Flow

    S. Evje, K. H. Karlsen in Hyperbolic Problems: Theory, Numerics, Applications (2008)

  7. No Access

    Article

    A family of numerical schemes for kinematic flows with discontinuous flux

    Multiphase flows of suspensions and emulsions are frequently approximated by spatially one-dimensional kinematic models, in which the velocity of each species of the disperse phase is an explicitly given funct...

    R. Bürger, A. García, K. H. Karlsen, J. D. Towers in Journal of Engineering Mathematics (2008)

  8. No Access

    Article

    Numerical methods for conservation laws with rough flux

    Finite volume methods are proposed for computing approximate pathwise entropy/kinetic solutions to conservation laws with flux functions driven by low-regularity paths. For a convex flux, it is demonstrated th...

    H. Hoel, K. H. Karlsen, N. H. Risebro… in Stochastics and Partial Differential Equa… (2020)