Kenneth H. Karlsen

According to our database1, Kenneth H. Karlsen authored at least 42 papers between 1999 and 2019.

Collaborative distances:
  • Dijkstra number2 of six.
  • Erdős number3 of four.



In proceedings 
PhD thesis 





The cardiac bidomain model and homogenization.
Networks Heterog. Media, 2019

On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion.
Networks Heterog. Media, 2016

Special issue on contemporary topics in conservation laws.
Networks Heterog. Media, 2016

L<sup>1</sup> error estimates for difference approximations of degenerate convection-diffusion equations.
Math. Comput., 2014

Operator Splitting for Well-Posed Active Scalar Equations.
SIAM J. Math. Anal., 2013

Operator splitting for two-dimensional incompressible fluid equations.
Math. Comput., 2013

An error estimate for the finite difference approximation to degenerate convection-diffusion equations.
Numerische Mathematik, 2012

L<sup>∞</sup> Solutions for a Model of Nonisothermal Polytropic Gas Flow.
SIAM J. Math. Anal., 2011

Convergence of discrete duality finite volume schemes for the cardiac bidomain model.
Networks Heterog. Media, 2011

Convergence of a mixed method for a semi-stationary compressible Stokes system.
Math. Comput., 2011

Operator splitting for the KdV equation.
Math. Comput., 2011

A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow.
SIAM J. Numer. Anal., 2010

Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE.
SIAM J. Numer. Anal., 2010

Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units.
Numerische Mathematik, 2010

On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux.
Networks Heterog. Media, 2010

On vanishing viscosity approximation of conservation laws with discontinuous flux.
Networks Heterog. Media, 2010

An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections.
SIAM J. Numer. Anal., 2009

Convergence of finite volume schemes for triangular systems of conservation laws.
Numerische Mathematik, 2009

Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation.
Math. Comput., 2009

A Convergent Finite Difference Scheme for the Camassa-Holm Equation with General H<sup>1</sup> Initial Data.
SIAM J. Numer. Anal., 2008

Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions.
Numerische Mathematik, 2008

Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model.
Networks Heterog. Media, 2008

A kinematic model of continuous separation and classification of polydisperse suspensions.
Comput. Chem. Eng., 2008

Convergent difference schemes for the Hunter-Saxton equation.
Math. Comput., 2007

Hyperbolic-elliptic models for well-reservoir flow.
Networks Heterog. Media, 2006

Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue.
Networks Heterog. Media, 2006

Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points.
Math. Comput. Model., 2006

Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation.
SIAM J. Math. Anal., 2005

A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units.
SIAM J. Appl. Math., 2005

Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations.
SIAM J. Math. Anal., 2004

Well-posedness in <i>BV<sub>t</sub></i> and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units.
Numerische Mathematik, 2004

A relaxation scheme for conservation laws with a discontinuous coefficient.
Math. Comput., 2004

Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression.
SIAM J. Appl. Math., 2003

A semilinear Black and Scholes partial differential equation for valuing American options.
Finance Stochastics, 2003

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., 2002

On the Convergence Rate ofOperator Splitting for Hamilton-Jacobi Equations with Source Terms.
SIAM J. Numer. Anal., 2001

Optimal portfolio management rules in a non-Gaussian market with durability and intertemporal substitution.
Finance Stochastics, 2001

Optimal portfolio selection with consumption and nonlinear integro-differential equations with gradient constraint: A viscosity solution approach.
Finance Stochastics, 2001

Corrected Operator Splitting for Nonlinear Parabolic Equations.
SIAM J. Numer. Anal., 2000

Monotone Difference Approximations Of <i>BV</i> Solutions To Degenerate Convection-Diffusion Equations.
SIAM J. Numer. Anal., 2000

Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations.
Numerische Mathematik, 2000

Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations.
Numerische Mathematik, 1999