K. Karlsen

M. Hanslien, K. H. Karlsen and A. Tveito

On a Finite Difference Scheme for a Beeler-Reuter Based Model of Cardiac Electrical Activity

International Journal of Numerical Analysis and Modeling

M. Hanslien, K. H. Karlsen and A. Tveito

A Maximum Principle for an Explicit Finite Difference Scheme Approximating the Hodgkin-Huxley Model

BIT

M. Bendahmane and K. H. Karlsen

Renormalized Solutions of an Anisotropic Reaction-Diffusion-Advection System With L^1 Data Modeling the Propagation of an Epidemic Disease

Communications on Pure and Applied Analysis

V. Haugse, K. H. Karlsen, K. Lie and J. R. Natvig

Numerical Solution of the Polymer System by Front Tracking

Transp. Porous Media

K. H. Karlsen, K. Lie, J. R. Natvig, H. F. Nordhaug and H. K. Dahle

Operator Splitting Methods for Systems of Convection-Diffusion Equations: Nonlinear Error Mechanisms and Correction Strategies

J. Comput. Phys.

H. Holden, K. H. Karlsen, K. Lie and N. H. Risebro

Operator Splitting for Convection-Dominated Nonlinear Partial Differential Equations

Godunov Methods:Theory and Applications

K. H. Karlsen, K. Lie and N. H. Risebro

A Fast Marching Method for Reservoir Simulation

Comput. Geosci.

R. Bürger, S. Evje, K. H. Karlsen and K. Lie

Numerical Methods for the Simulation of the Settling of Flocculated Suspensions

Chem. Eng. J.

H. Holden, K. H. Karlsen and K. Lie

Operator Splitting Methods for Degenerate Convection-Diffusion Equations I: Convergence and Entropy Estimates

CMS Conference Proceedings

H. Holden, K. H. Karlsen and K. Lie

Operator Splitting Methods for Degenerate Convection-Diffusion Equations II: Numerical Examples With Emphasis on Reservoir Simulation

Comput. Geosci.

S. Evje, K. H. Karlsen, K. Lie and N. H. Risebro

Front Tracking and Operator Splitting for Nonlinear Degenerate Convection-Diffusion Equations

Parallel solution of partial differential equations

K. H. Karlsen and K. Lie

An Unconditionally Stable Splitting Scheme for a Class of Nonlinear Parabolic Equations

IMA J. Numer. Anal.

K. H. Karlsen, K. Lie and N. H. Risebro

A Front Tracking Method for Conservation Laws With Boundaryconditions

Hyperbolic problems: theory, numerics, applications (Seventh international conference in Zürich, 1998)

K. H. Karlsen, K. Lie, N. H. Risebro and J. Føyen

A Front-Tracking Approach to a Two-Phase Fluid-Flow Model With Capillary Forces

In Situ

K. Lie, V. Haugse and K. H. Karlsen

Dimensional Splitting With Front Tracking and Adaptive Local Grid Refinement

Numer. Methods Partial Differential Equations

K. H. Karlsen, K. Brusdal, H. K. Dahle, S. Evje and K. Lie

The Corrected Operator Splitting Approach Applied to an Advection-Diffusion Problem

Comput. Methods Appl. Mech. Engrg