Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws. - Nils Henrik Risebro; Aslak Tveito (SIAM J. Sci. Comput., 1991)

Maximum Principles for a Class of Conservation Laws. - Helge Holden; Nils Henrik Risebro; Aslak Tveito (SIAM J. Appl. Math., 1995)

Corrected Operator Splitting for Nonlinear Parabolic Equations. - Kenneth Hvistendahl Karlsen; Nils Henrik Risebro (SIAM J. Numer. Anal., 2000)

On the Convergence Rate ofOperator Splitting for Hamilton-Jacobi Equations with Source Terms. - Espen R. Jakobsen; Kenneth H. Karlsen; Nils Henrik Risebro (SIAM J. Numer. Anal., 2001)

A relaxation scheme for conservation laws with a discontinuous coefficient. - Kenneth H. Karlsen; Christian Klingenberg; Nils Henrik Risebro (Math. Comput., 2004)

Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. - Raimund Bürger; Kenneth H. Karlsen; Nils Henrik Risebro; John D. Towers (Numerische Mathematik, 2004)

Conservation Laws with Time Dependent Discontinuous Coefficients. - Giuseppe Maria Coclite; Nils Henrik Risebro (SIAM J. Math. Anal., 2005)

Convergent difference schemes for the Hunter-Saxton equation. - Helge Holden; Kenneth H. Karlsen; Nils Henrik Risebro (Math. Comput., 2007)

A Convergent Finite Difference Scheme for the Camassa-Holm Equation with General H1 Initial Data. - Giuseppe Maria Coclite; Kenneth H. Karlsen; Nils Henrik Risebro (SIAM J. Numer. Anal., 2008)

An Introduction to the Theory of Scalar Conservation Laws with Spatially Discontinuous Flux Functions. - Nils Henrik Risebro (Applied Wave Mathematics, 2009)

Splitting based finite volume schemes for ideal MHD equations. - Franz G. Fuchs; S. Mishra; Nils Henrik Risebro (J. Comput. Phys., 2009)

Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. - Kenneth H. Karlsen; Siddhartha Mishra; Nils Henrik Risebro (Math. Comput., 2009)

Convergence of finite volume schemes for triangular systems of conservation laws. - Kenneth H. Karlsen; Siddhartha Mishra; Nils Henrik Risebro (Numerische Mathematik, 2009)

High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. - Franz G. Fuchs; A. D. McMurry; S. Mishra; Nils Henrik Risebro; K. Waagan (J. Comput. Phys., 2010)

Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. - Giuseppe Maria Coclite; Siddhartha Mishra; Nils Henrik Risebro (Math. Comput., 2010)

On vanishing viscosity approximation of conservation laws with discontinuous flux. - Boris P. Andreianov; Kenneth H. Karlsen; Nils Henrik Risebro (Networks Heterog. Media, 2010)

Operator splitting for the KdV equation. - Helge Holden; Kenneth H. Karlsen; Nils Henrik Risebro; Terence Tao (Math. Comput., 2011)

An error estimate for the finite difference approximation to degenerate convection-diffusion equations. - Kenneth H. Karlsen; Ujjwal Koley; Nils Henrik Risebro (Numerische Mathematik, 2012)

Operator splitting for partial differential equations with Burgers nonlinearity. - Helge Holden; Christian Lubich; Nils Henrik Risebro (Math. Comput., 2013)

L1 error estimates for difference approximations of degenerate convection-diffusion equations. - Kenneth H. Karlsen; Nils Henrik Risebro; Erlend B. Storrøsten (Math. Comput., 2014)

Convergence of a Higher Order Scheme for the Korteweg-De Vries Equation. - Rajib Dutta; Ujjwal Koley; Nils Henrik Risebro (SIAM J. Numer. Anal., 2015)

Numerical Solution of Scalar Conservation Laws with Random Flux Functions. - Siddhartha Mishra; Nils Henrik Risebro; Christoph Schwab; Svetlana V. Tokareva (SIAM/ASA J. Uncertain. Quantification, 2016)

Convergence of finite difference schemes for the Benjamin-Ono equation. - Rajib Dutta; Helge Holden; Ujjwal Koley; Nils Henrik Risebro (Numerische Mathematik, 2016)

A Convergent Difference Scheme for a Class of Partial Integro-Differential Equations Modeling Pricing under Uncertainty. - Giuseppe Maria Coclite; O. Reichmann; Nils Henrik Risebro (SIAM J. Numer. Anal., 2016)

Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. - Helge Holden; Nils Henrik Risebro (Networks Heterog. Media, 2018)

Numerical investigations into a model of partially incompressible two-phase flow in pipes. - Nils Henrik Risebro; Adrian Montgomery Ruf (CoRR, 2019)

Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux. - Jayesh Badwaik; Nils Henrik Risebro; Christian Klingenberg (CoRR, 2019)

Models for Dense Multilane Vehicular Traffic. - Helge Holden; Nils Henrik Risebro (SIAM J. Math. Anal., 2019)

Singular Diffusion with Neumann boundary conditions. - Giuseppe Maria Coclite; Helge Holden; Nils Henrik Risebro (CoRR, 2020)

Well-posedness theory for nonlinear scalar conservation laws on networks. - Markus Musch; Ulrik Skre Fjordholm; Nils Henrik Risebro (Networks Heterog. Media, 2022)

Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks. - Ulrik S. Fjordholm; Markus Musch; Nils Henrik Risebro (SIAM J. Numer. Anal., 2022)

Some observations regarding the stationary Buckley-Leverett equation. - Giuseppe Maria Coclite; Kenneth H. Karlsen; Nils Henrik Risebro (Appl. Math. Lett., 2025)