| Front tracking for hyperbolic conservation laws H Holden, NH Risebro Springer, 2015 | 830 | 2015 |
| A mathematical model of traffic flow on a network of unidirectional roads H Holden, NH Risebro SIAM Journal on Mathematical Analysis 26 (4), 999-1017, 1995 | 384 | 1995 |
| Splitting methods for partial differential equations with rough solutions: Analysis and MATLAB programs H Holden European Mathematical Society, 2010 | 284 | 2010 |
| 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 | 243 | 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 | 236 | 2003 |
| Solution of the Cauchy problem for a conservation law with a discontinuous flux function T Gimse, NH Risebro SIAM Journal on Mathematical Analysis 23 (3), 635-648, 1992 | 233 | 1992 |
| 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 | 204 | 2000 |
| Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior C Klingenberg, NH Risebro Communications in Partial Differential Equations 20 (11-12), 1959-1990, 1995 | 172 | 1995 |
| A front-tracking alternative to the random choice method NH Risebro Proceedings of the American Mathematical Society 117 (4), 1125-1139, 1993 | 167 | 1993 |
| 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 | 155 | 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 | 153 | 2002 |
| Riemann problems with a discontinuous flux function T Gimse, NH Risebro Proceedings of Third International Conference on Hyperbolic Problems 1, 488-502, 1991 | 138 | 1991 |
| A new front-tracking method for reservoir simulation F Bratvedt, K Bratvedt, CF Buchholz, L Holden, H Holden, NH Risebro SPE reservoir engineering 7 (01), 107-116, 1992 | 121 | 1992 |
| An operator splitting method for nonlinear convection-diffusion equations KH Karlsen, NH Risebro Numerische Mathematik 77 (3), 365-382, 1997 | 120 | 1997 |
| Operator splitting for partial differential equations with Burgers nonlinearity H Holden, C Lubich, N Risebro Mathematics of Computation 82 (281), 173-185, 2013 | 114 | 2013 |
| Operator splitting for the KdV equation H Holden, K Karlsen, N Risebro, T Tao Mathematics of Computation 80 (274), 821-846, 2011 | 106 | 2011 |
| Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients KH Karlsen, NH Risebro ESAIM: Mathematical Modelling and Numerical Analysis 35 (2), 239-269, 2001 | 93 | 2001 |
| On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. KH Karlsen, NH Risebro, JD Towers Electronic Journal of Differential Equations (EJDE)[electronic only] 2002 …, 2002 | 91 | 2002 |
| Stability of conservation laws with discontinuous coefficients RA Klausen, NH Risebro Journal of differential equations 157 (1), 41-60, 1999 | 89 | 1999 |
| Operator splitting methods for generalized Korteweg–de Vries equations H Holden, KH Karlsen, NH Risebro Journal of Computational Physics 153 (1), 203-222, 1999 | 87 | 1999 |
Kenneth H. KarlsenProfessor of Mathematics, University of OsloVerified email at math.uio.no