Kenneth H. Karlsen

Publication Activity (10 Years)

Years Active: 1999-2023
Publications (10 Years): 7

Top Topics

Conservation Laws

Diffusion Equation

Top Venues

Networks Heterog. Media

SIAM J. Math. Anal.

Publications

Ulrik S. Fjordholm, Kenneth H. Karlsen, Peter H. C. Pang
Convergent finite difference schemes for stochastic transport equations. CoRR (2023)
Kenneth H. Karlsen, John D. Towers
Compactness estimates for difference schemes for conservation laws with discontinuous flux. CoRR (2023)
Mostafa Bendahmane, Kenneth H. Karlsen
Martingale solutions of stochastic nonlocal cross-diffusion systems. Networks Heterog. Media 17 (5) (2022)
Erik Grandelius, Kenneth H. Karlsen
The cardiac bidomain model and homogenization. Networks Heterog. Media 14 (1) (2019)
Rinaldo M. Colombo, Kenneth H. Karlsen, Frédéric Lagoutière, Andrea Marson
Special issue on contemporary topics in conservation laws. Networks Heterog. Media 11 (1) (2016)
Rinaldo M. Colombo, Kenneth H. Karlsen, Frédéric Lagoutière, Andrea Marson
Special issue on contemporary topics in conservation laws. Networks Heterog. Media 11 (2) (2016)
Kenneth H. Karlsen, Süleyman Ulusoy
On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion. Networks Heterog. Media 11 (1) (2016)
Kenneth H. Karlsen, Nils Henrik Risebro, Erlend B. Storrøsten
error estimates for difference approximations of degenerate convection-diffusion equations. Math. Comput. 83 (290) (2014)
Helge Holden, Kenneth H. Karlsen, Trygve K. Karper
Operator splitting for two-dimensional incompressible fluid equations. Math. Comput. 82 (282) (2013)
Helge Holden, Kenneth H. Karlsen, Trygve K. Karper
Operator Splitting for Well-Posed Active Scalar Equations. SIAM J. Math. Anal. 45 (1) (2013)
Kenneth H. Karlsen, Ujjwal Koley, Nils Henrik Risebro
An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Numerische Mathematik 121 (2) (2012)
Hermano Frid, Helge Holden, Kenneth H. Karlsen
Solutions for a Model of Nonisothermal Polytropic Gas Flow. SIAM J. Math. Anal. 43 (5) (2011)
Boris P. Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen, Charles Pierre
Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Networks Heterog. Media 6 (2) (2011)
Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro, Terence Tao
Operator splitting for the KdV equation. Math. Comput. 80 (274) (2011)
Kenneth H. Karlsen, Trygve K. Karper
Convergence of a mixed method for a semi-stationary compressible Stokes system. Math. Comput. 80 (275) (2011)
Imran H. Biswas, Espen R. Jakobsen, Kenneth H. Karlsen
Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE. SIAM J. Numer. Anal. 48 (3) (2010)
Kenneth H. Karlsen, Trygve K. Karper
A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow. SIAM J. Numer. Anal. 48 (5) (2010)
Boris P. Andreianov, Kenneth H. Karlsen, Nils Henrik Risebro
On vanishing viscosity approximation of conservation laws with discontinuous flux. Networks Heterog. Media 5 (3) (2010)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Networks Heterog. Media 5 (3) (2010)
Raimund Bürger, Kenneth H. Karlsen, Héctor Torres, John D. Towers
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Numerische Mathematik 116 (4) (2010)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections. SIAM J. Numer. Anal. 47 (3) (2009)
Kenneth H. Karlsen, Siddhartha Mishra, Nils Henrik Risebro
Convergence of finite volume schemes for triangular systems of conservation laws. Numerische Mathematik 111 (4) (2009)
Kenneth H. Karlsen, Siddhartha Mishra, Nils Henrik Risebro
Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Math. Comput. 78 (265) (2009)
Raimund Bürger, Antonio García, Kenneth H. Karlsen, John D. Towers
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Networks Heterog. Media 3 (1) (2008)
Giuseppe Maria Coclite, Kenneth H. Karlsen, Nils Henrik Risebro
Initial Data. SIAM J. Numer. Anal. 46 (3) (2008)
Raimund Bürger, Antonio García, Kenneth H. Karlsen, John D. Towers
A kinematic model of continuous separation and classification of polydisperse suspensions. Comput. Chem. Eng. 32 (6) (2008)
Espen R. Jakobsen, Kenneth H. Karlsen, Claudia La Chioma
Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. Numerische Mathematik 110 (2) (2008)
Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro
Convergent difference schemes for the Hunter-Saxton equation. Math. Comput. 76 (258) (2007)
Steinar Evje, Kenneth H. Karlsen
Hyperbolic-elliptic models for well-reservoir flow. Networks Heterog. Media 1 (4) (2006)
Mostafa Bendahmane, Kenneth H. Karlsen
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Networks Heterog. Media 1 (1) (2006)
Raimund Bürger, Fernando Concha, Kenneth H. Karlsen, Ariel Narváez
Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points. Math. Comput. Model. 44 (3-4) (2006)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units. SIAM J. Appl. Math. 65 (3) (2005)
Giuseppe Maria Coclite, Helge Holden, Kenneth H. Karlsen
Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation. SIAM J. Math. Anal. 37 (4) (2005)
Raimund Bürger, Kenneth H. Karlsen, Nils Henrik Risebro, John D. Towers
and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Numerische Mathematik 97 (1) (2004)
Kenneth H. Karlsen, Christian Klingenberg, Nils Henrik Risebro
A relaxation scheme for conservation laws with a discontinuous coefficient. Math. Comput. 73 (247) (2004)
Mostafa Bendahmane, Kenneth H. Karlsen
Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations. SIAM J. Math. Anal. 36 (2) (2004)
Fred E. Benth, Kenneth H. Karlsen, Kristin Reikvam
A semilinear Black and Scholes partial differential equation for valuing American options. Finance Stochastics 7 (3) (2003)
Elmer M. Tory, Kenneth H. Karlsen, Raimund Bürger, Stefan Berres
Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression. SIAM J. Appl. Math. 64 (1) (2003)
Raimund Bürger, Hermano Frid, Kenneth H. Karlsen
On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration. SIAM J. Math. Anal. 34 (3) (2002)
Espen R. Jakobsen, Kenneth H. Karlsen, Nils Henrik Risebro
On the Convergence Rate ofOperator Splitting for Hamilton-Jacobi Equations with Source Terms. SIAM J. Numer. Anal. 39 (2) (2001)
Fred E. Benth, Kenneth H. Karlsen, Kristin Reikvam
Optimal portfolio management rules in a non-Gaussian market with durability and intertemporal substitution. Finance Stochastics 5 (4) (2001)
Fred E. Benth, Kenneth H. Karlsen, Kristin Reikvam
Optimal portfolio selection with consumption and nonlinear integro-differential equations with gradient constraint: A viscosity solution approach. Finance Stochastics 5 (3) (2001)
Steinar Evje, Kenneth H. Karlsen
Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations. Numerische Mathematik 86 (3) (2000)
Steinar Evje, Kenneth H. Karlsen
Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations. Numerische Mathematik 83 (1) (1999)