| Convergence of a difference scheme for conservation laws with a discontinuous flux JD Towers SIAM journal on numerical analysis 38 (2), 681-698, 2000 | 226 | 2000 |
| 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 | 224 | 2003 |
| 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 | 167 | 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 | 159 | 2005 |
| 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 | 152 | 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 | 151 | 2002 |
| 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 | 142 | 2009 |
| 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 | 133 | 2008 |
| A difference scheme for conservation laws with a discontinuous flux: the nonconvex case JD Towers SIAM journal on numerical analysis 39 (4), 1197-1218, 2001 | 133 | 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 | 90 | 2002 |
| Two methods for discretizing a delta function supported on a level set JD Towers Journal of Computational Physics 220 (2), 915-931, 2007 | 70 | 2007 |
| Finite difference methods for approximating Heaviside functions JD Towers Journal of Computational Physics 228 (9), 3478-3489, 2009 | 51 | 2009 |
| Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model R Bürger, A García, KH Karlsen, JD Towers Networks and heterogeneous media 3 (1), 1-41, 2007 | 45 | 2007 |
| Mathematical model and numerical simulation of the dynamics of flocculated suspensions in clarifier–thickeners R Bürger, KH Karlsen, JD Towers Chemical Engineering Journal 111 (2-3), 119-134, 2005 | 44 | 2005 |
| Second-order schemes for conservation laws with discontinuous flux modelling clarifier–thickener units R Bürger, KH Karlsen, H Torres, JD Towers Numerische Mathematik 116, 579-617, 2010 | 38 | 2010 |
| Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units R Bürger, KH Karlsen, NH Risebro, JD Towers International Journal of Mineral Processing 73 (2-4), 209-228, 2004 | 36 | 2004 |
| Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition KH Karlsen, JD Towers Journal of Hyperbolic Differential Equations 14 (04), 671-701, 2017 | 35 | 2017 |
| Monotone difference approximations for the simulation of clarifier-thickener units R Bürger, KH Karlsen, NH Risebro, JD Towers Computing and Visualization in Science 6, 83-91, 2004 | 35 | 2004 |
| A convergence rate theorem for finite difference approximations to delta functions JD Towers Journal of Computational Physics 227 (13), 6591-6597, 2008 | 29 | 2008 |
| A kinematic model of continuous separation and classification of polydisperse suspensions R Bürger, A García, KH Karlsen, JD Towers Computers & Chemical Engineering 32 (6), 1173-1194, 2008 | 27 | 2008 |
