Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations. - Steinar Evje; Kenneth H. Karlsen (Numerische Mathematik, 1999)

Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations. - Steinar Evje; Kenneth H. Karlsen (Numerische Mathematik, 2000)

Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations. - Steinar Evje; Kenneth Hvistendahl Karlsen (SIAM J. Numer. Anal., 2000)

Corrected Operator Splitting for Nonlinear Parabolic Equations. - Kenneth Hvistendahl Karlsen; Nils Henrik Risebro (SIAM J. Numer. Anal., 2000)

Optimal portfolio selection with consumption and nonlinear integro-differential equations with gradient constraint: A viscosity solution approach. - Fred E. Benth; Kenneth H. Karlsen; Kristin Reikvam (Finance Stochastics, 2001)

Optimal portfolio management rules in a non-Gaussian market with durability and intertemporal substitution. - Fred E. Benth; Kenneth H. Karlsen; Kristin Reikvam (Finance Stochastics, 2001)

On the Convergence Rate ofOperator Splitting for Hamilton-Jacobi Equations with Source Terms. - Espen R. Jakobsen; Kenneth H. Karlsen; Nils Henrik Risebro (SIAM J. Numer. Anal., 2001)

On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration. - Raimund Bürger; Hermano Frid; Kenneth H. Karlsen (SIAM J. Math. Anal., 2002)

A semilinear Black and Scholes partial differential equation for valuing American options. - Fred E. Benth; Kenneth H. Karlsen; Kristin Reikvam (Finance Stochastics, 2003)

Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression. - Elmer M. Tory; Kenneth H. Karlsen; Raimund Bürger; Stefan Berres (SIAM J. Appl. Math., 2003)

A relaxation scheme for conservation laws with a discontinuous coefficient. - Kenneth H. Karlsen; Christian Klingenberg; Nils Henrik Risebro (Math. Comput., 2004)

Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. - Raimund Bürger; Kenneth H. Karlsen; Nils Henrik Risebro; John D. Towers (Numerische Mathematik, 2004)

Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations. - Mostafa Bendahmane; Kenneth H. Karlsen (SIAM J. Math. Anal., 2004)

A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units. - Raimund Bürger; Kenneth H. Karlsen; John D. Towers (SIAM J. Appl. Math., 2005)

Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation. - Giuseppe Maria Coclite; Helge Holden; Kenneth H. Karlsen (SIAM J. Math. Anal., 2005)

Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points. - Raimund Bürger; Fernando Concha; Kenneth H. Karlsen; Ariel Narváez (Math. Comput. Model., 2006)

Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. - Mostafa Bendahmane; Kenneth H. Karlsen (Networks Heterog. Media, 2006)

Hyperbolic-elliptic models for well-reservoir flow. - Steinar Evje; Kenneth H. Karlsen (Networks Heterog. Media, 2006)

Convergent difference schemes for the Hunter-Saxton equation. - Helge Holden; Kenneth H. Karlsen; Nils Henrik Risebro (Math. Comput., 2007)

A kinematic model of continuous separation and classification of polydisperse suspensions. - Raimund Bürger; Antonio García; Kenneth H. Karlsen; John D. Towers (Comput. Chem. Eng., 2008)

Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. - Raimund Bürger; Antonio García; Kenneth H. Karlsen; John D. Towers (Networks Heterog. Media, 2008)

Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. - Espen R. Jakobsen; Kenneth H. Karlsen; Claudia La Chioma (Numerische Mathematik, 2008)

A Convergent Finite Difference Scheme for the Camassa-Holm Equation with General H1 Initial Data. - Giuseppe Maria Coclite; Kenneth H. Karlsen; Nils Henrik Risebro (SIAM J. Numer. Anal., 2008)

Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. - Kenneth H. Karlsen; Siddhartha Mishra; Nils Henrik Risebro (Math. Comput., 2009)

Convergence of finite volume schemes for triangular systems of conservation laws. - Kenneth H. Karlsen; Siddhartha Mishra; Nils Henrik Risebro (Numerische Mathematik, 2009)

An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections. - Raimund Bürger; Kenneth H. Karlsen; John D. Towers (SIAM J. Numer. Anal., 2009)

On vanishing viscosity approximation of conservation laws with discontinuous flux. - Boris P. Andreianov; Kenneth H. Karlsen; Nils Henrik Risebro (Networks Heterog. Media, 2010)

On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. - Raimund Bürger; Kenneth H. Karlsen; John D. Towers (Networks Heterog. Media, 2010)

Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. - Raimund Bürger; Kenneth H. Karlsen; Héctor Torres; John D. Towers (Numerische Mathematik, 2010)

Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE. - Imran H. Biswas; Espen R. Jakobsen; Kenneth H. Karlsen (SIAM J. Numer. Anal., 2010)

A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow. - Kenneth H. Karlsen; Trygve K. Karper (SIAM J. Numer. Anal., 2010)

Operator splitting for the KdV equation. - Helge Holden; Kenneth H. Karlsen; Nils Henrik Risebro; Terence Tao (Math. Comput., 2011)

Convergence of a mixed method for a semi-stationary compressible Stokes system. - Kenneth H. Karlsen; Trygve K. Karper (Math. Comput., 2011)

Convergence of discrete duality finite volume schemes for the cardiac bidomain model. - Boris P. Andreianov; Mostafa Bendahmane; Kenneth H. Karlsen; Charles Pierre (Networks Heterog. Media, 2011)

L∞ Solutions for a Model of Nonisothermal Polytropic Gas Flow. - Hermano Frid; Helge Holden; Kenneth H. Karlsen (SIAM J. Math. Anal., 2011)

An error estimate for the finite difference approximation to degenerate convection-diffusion equations. - Kenneth H. Karlsen; Ujjwal Koley; Nils Henrik Risebro (Numerische Mathematik, 2012)

Operator splitting for two-dimensional incompressible fluid equations. - Helge Holden; Kenneth H. Karlsen; Trygve K. Karper (Math. Comput., 2013)

Operator Splitting for Well-Posed Active Scalar Equations. - Helge Holden; Kenneth H. Karlsen; Trygve K. Karper (SIAM J. Math. Anal., 2013)

L1 error estimates for difference approximations of degenerate convection-diffusion equations. - Kenneth H. Karlsen; Nils Henrik Risebro; Erlend B. Storrøsten (Math. Comput., 2014)

Special issue on contemporary topics in conservation laws. - Rinaldo M. Colombo; Kenneth H. Karlsen; Frédéric Lagoutière; Andrea Marson (Networks Heterog. Media, 2016)

On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion. - Kenneth H. Karlsen; Süleyman Ulusoy (Networks Heterog. Media, 2016)

The cardiac bidomain model and homogenization. - Erik Grandelius; Kenneth H. Karlsen (Networks Heterog. Media, 2019)

Martingale solutions of stochastic nonlocal cross-diffusion systems. - Mostafa Bendahmane; Kenneth H. Karlsen (Networks Heterog. Media, 2022)

Compactness estimates for difference schemes for conservation laws with discontinuous flux. - Kenneth H. Karlsen; John D. Towers (CoRR, 2023)

Some observations regarding the stationary Buckley-Leverett equation. - Giuseppe Maria Coclite; Kenneth H. Karlsen; Nils Henrik Risebro (Appl. Math. Lett., 2025)

Convergent Finite Difference Schemes for Stochastic Transport Equations. - Ulrik S. Fjordholm; Kenneth H. Karlsen; Peter H. C. Pang (SIAM J. Numer. Anal., 2025)

Semi-discrete heat equations with variable coefficients and the parametrix method. - Ulrik S. Fjordholm; Kenneth H. Karlsen; Peter H. C. Pang (CoRR, 2025)