| Splitting methods for partial differential equations with rough solutions H Holden, KH Karlsen, KA Lie, NH Risebro European Mathematical Society 7, 12, 2010 | 287 | 2010 |
| On the well-posedness of the Degasperis–Procesi equation GM Coclite, KH Karlsen Journal of Functional Analysis 233 (1), 60-91, 2006 | 259 | 2006 |
| A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux B Andreianov, KH Karlsen, NH Risebro Archive for rational mechanics and analysis 201, 27-86, 2011 | 241 | 2011 |
| L¹ stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients KH Karlsen, NH Risebro, JD Towers Preprint series. Pure mathematics http://urn. nb. no/URN: NBN: no-8076, 2003 | 232 | 2003 |
| Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression EM Tory, KH Karlsen, R Bürger, S Berres SIAM Journal on Applied Mathematics 64 (1), 41-80, 2003 | 227 | 2003 |
| On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients KH Karlsen, NH Risebro Department of Mathematics, University of Bergen, 2000 | 205 | 2000 |
| Global weak solutions to a generalized hyperelastic-rod wave equation GM Coclite, H Holden, KH Karlsen SIAM Journal on Mathematical Analysis 37 (4), 1044-1069, 2005 | 195 | 2005 |
| Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux KH Karlsen, JD Towers Chinese Annals of Mathematics 25 (03), 287-318, 2004 | 172 | 2004 |
| A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units R Bürger, KH Karlsen, JD Towers SIAM Journal on Applied Mathematics 65 (3), 882-940, 2005 | 168 | 2005 |
| Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations S Evje, KH Karlsen SIAM Journal on Numerical Analysis 37 (6), 1838-1860, 2000 | 157 | 2000 |
| Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units R Bürger, KH Karlsen, NH Risebro, JD Towers Numerische Mathematik 97, 25-65, 2004 | 156 | 2004 |
| Upwind difference approximations for degenerate parabolic convection–diffusion equations with a discontinuous coefficient KH Karlsen, NH Risebro, JD Towers IMA journal of numerical analysis 22 (4), 623-664, 2002 | 155 | 2002 |
| Wellposedness for a parabolic-elliptic system GM Coclite, H Holden, KH Karlsen Discrete and Continuous Dynamical Systems 13 (3), 659, 2005 | 151 | 2005 |
| Optimal portfolio selection with consumption and nonlinear integro-differential equations with gradient constraint: a viscosity solution approach FE Benth, KH Karlsen, K Reikvam Finance and Stochastics 5, 275-303, 2001 | 151 | 2001 |
| An Engquist–Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections R Bürger, KH Karlsen, JD Towers SIAM Journal on numerical analysis 47 (3), 1684-1712, 2009 | 148 | 2009 |
| A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations ER Jakobsen, KH Karlsen Nonlinear Differential Equations and Applications NoDEA 13, 137-165, 2006 | 143 | 2006 |
| Numerical solution of reservoir flow models based on large time step operator splitting algorithms: CIME lecture notes MS Espedal, KH Karlsen Filtration in Porous Media and Industrial Application: Lectures given at the …, 2007 | 142 | 2007 |
| A family of numerical schemes for kinematic flows with discontinuous flux R Bürger, A García, KH Karlsen, JD Towers Journal of Engineering Mathematics 60, 387-425, 2008 | 138 | 2008 |
| Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue M Bendahmane, KH Karlsen Networks and Heterogeneous Media 1 (1), 185-218, 2006 | 133 | 2006 |
| Continuous dependence estimates for viscosity solutions of integro-PDEs ER Jakobsen, KH Karlsen Journal of Differential Equations 212 (2), 278-318, 2005 | 131 | 2005 |
Helge HoldenProfessor of Mathematics, Norwegian University of Science and TechnologyVerified email at math.ntnu.no
