Nils Henrik Risebro

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All published works

Action	Title	Year	Authors
+ PDF Chat	The continuum limit of non-local follow-the-leader models	2024	Helge Holden Nils Henrik Risebro
+	A nonlocal Lagrangian traffic flow model and the zero-filter limit	2023	Giuseppe Maria Coclite Kenneth H. Karlsen Nils Henrik Risebro
+	The continuum limit of higher-order Follow-the-Leader models	2023	Helge Holden Nils Henrik Risebro
+	Well-posedness theory for nonlinear scalar conservation laws on networks	2021	Markus Musch Ulrik Skre Fjordholm Nils Henrik Risebro
+ PDF	Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux	2021	Jayesh Badwaik Christian Klingenberg Nils Henrik Risebro Adrian M. Ruf
+ PDF Chat	Singular diffusion with Neumann boundary conditions	2021	Giuseppe Maria Coclite Helge Holden Nils Henrik Risebro
+	Well-posedness theory for nonlinear scalar conservation laws on networks	2021	Ulrik Skre Fjordholm Markus Musch Nils Henrik Risebro
+	Singular Diffusion with Neumann boundary conditions	2020	Giuseppe Maria Coclite Helge Holden Nils Henrik Risebro
+	Singular Diffusion with Neumann boundary conditions	2020	Giuseppe Maria Coclite Helge Holden Nils Henrik Risebro
+ PDF	Well-posedness of the Initial Value Problem for the Ostrovsky–Hunter Equation with Spatially Dependent Flux	2019	Giuseppe Maria Coclite Neelabja Chatterjee Nils Henrik Risebro
+ PDF Chat	Numerical investigations into a model of partially incompressible two-phase flow in pipes	2019	Nils Henrik Risebro Adrian M. Ruf
+ PDF	A difference method for the McKean–Vlasov equation	2019	Giuseppe Maria Coclite Nils Henrik Risebro
+ PDF Chat	Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux	2019	Jayesh Badwaik Christian Klingenberg Nils Henrik Risebro Adrian M. Ruf
+ PDF	Numerical methods for conservation laws with rough flux	2019	Håkon Hoel Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+	Well-posedness of the initial value problem for the Ostrovsky-Hunter equation with spatially dependent flux	2019	Giuseppe Maria Coclite Neelabja Chatterjee Nils Henrik Risebro
+ PDF	Models for Dense Multilane Vehicular Traffic	2019	Helge Holden Nils Henrik Risebro
+	Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux	2019	Jayesh Badwaik Christian Klingenberg Nils Henrik Risebro Adrian M. Ruf
+	Well-posedness of the initial value problem for the Ostrovsky-Hunter equation with spatially dependent flux	2019	Giuseppe Maria Coclite Neelabja Chatterjee Nils Henrik Risebro
+	The Ostrovsky Hunter equation with a space dependent flux function	2018	Neelabja Chatterjee Nils Henrik Risebro
+	Models for dense multilane vehicular traffic.	2018	Helge Holden Nils Henrik Risebro
+	The initial-boundary-value problem for an Ostrovsky–Hunter type equation	2018	Fritz Gesztesy Harald Hanche-Olsen Espen R. Jakobsen Yurii Lyubarskii Nils Henrik Risebro Kristian Seip
+	Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis	2018	Fritz Gesztesy Harald Hanche-Olsen Espen R. Jakobsen Yurii Lyubarskii Nils Henrik Risebro Kristian Seip
+ PDF	Path-dependent convex conservation laws	2018	Håkon Hoel Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+	Numerical methods for conservation laws with rough flux.	2018	Håkon Hoel Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+ PDF	Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow	2018	Helge Holden Nils Henrik Risebro
+	The Ostrovsky Hunter equation with a space dependent flux function	2018	Neelabja Chatterjee Nils Henrik Risebro
+	Models for dense multilane vehicular traffic	2018	Helge Holden Nils Henrik Risebro
+	Numerical methods for conservation laws with rough flux	2018	Håkon Hoel Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+	Path-dependent convex conservation laws	2017	Håkon Hoel Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+ PDF	The continuum limit of Follow-the-Leader models — a short proof	2017	Helge Holden Nils Henrik Risebro
+ PDF Chat	A convergent finite difference scheme for the variational heat equation	2017	Giuseppe Maria Coclite J.K. Ridder Nils Henrik Risebro
+	The continuum limit of Follow-the-Leader models - a short proof	2017	Helge Holden Nils Henrik Risebro
+ PDF	Correction to: Multilevel Monte Carlo front-tracking for random scalar conservation laws	2017	Nils Henrik Risebro Christoph Schwab Franziska Weber
+	Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow	2017	Helge Holden Nils Henrik Risebro
+ PDF	Practical Convergence Rates for Degenerate Parabolic Equations	2017	Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+	Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow	2017	Helge Holden Nils Henrik Risebro
+	Path-dependent convex conservation laws	2017	Håkon Hoel Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+	The continuum limit of Follow-the-Leader models - a short proof	2017	Helge Holden Nils Henrik Risebro
+	A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain	2016	Giuseppe Maria Coclite J.K. Ridder Nils Henrik Risebro
+	A Convergent Difference Scheme for a Class of Partial Integro-Differential Equations Modeling Pricing under Uncertainty	2016	Giuseppe Maria Coclite Oleg Reichmann Nils Henrik Risebro
+ PDF Chat	Convergence of finite difference schemes for the Benjamin–Ono equation	2015	Rajib Dutta Helge Holden Ujjwal Koley Nils Henrik Risebro
+ PDF	Operator splitting for the Benjamin–Ono equation	2015	Ritabrata Dutta Helge Holden Ujjwal Koley Nils Henrik Risebro
+ PDF	On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions	2015	Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+ PDF	Multilevel Monte Carlo front-tracking for random scalar conservation laws	2015	Nils Henrik Risebro Christoph Schwab Franziska Weber
+	The Riemann Problem for Systems	2015	Helge Holden Nils Henrik Risebro
+ PDF Chat	Convergence of a Higher Order Scheme for the Korteweg--De Vries Equation	2015	Rajib Dutta Ujjwal Koley Nils Henrik Risebro
+	A Short Course in Difference Methods	2015	Helge Holden Nils Henrik Risebro
+	Existence of Solutions of the Cauchy Problem	2015	Helge Holden Nils Henrik Risebro
+	Well-Posedness of the Cauchy Problem	2015	Helge Holden Nils Henrik Risebro
+	Conservation Laws with Discontinuous Flux Functions	2015	Helge Holden Nils Henrik Risebro
+	Front Tracking	2015	Nils Henrik Risebro
+	On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions	2014	Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+	Convergence rate of upwind finite difference methods for degenerate parabolic equations in several space dimensions	2014	Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+ PDF Chat	Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation	2014	Helge Holden Ujjwal Koley Nils Henrik Risebro
+	Operator Splitting and fully discrete finite difference schemes for the Benjamin--Ono equation	2014	Rajib Dutta Helge Holden Ujjwal Koley Nils Henrik Risebro
+	Convergence of finite difference schemes for the Benjamin-Ono equation	2014	Rajib Dutta Helge Holden Ujjwal Koley Nils Henrik Risebro
+	Convergence of a higher-order scheme for Korteweg-de Vries equation	2014	Rajib Dutta Ujjwal Koley Nils Henrik Risebro
+	𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations	2014	Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+ PDF Chat	On an inverse problem for scalar conservation laws	2014	Helge Holden Fabio S. Priuli Nils Henrik Risebro
+	Multilevel Monte-Carlo front-tracking for random scalar conservation laws	2014	Nils Henrik Risebro Christoph Schwab Franziska Weber
+	Convergence of a higher-order scheme for Korteweg-de Vries equation	2014	Rajib Dutta Ujjwal Koley Nils Henrik Risebro
+	On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions	2014	Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+	Convergence of finite difference schemes for the Benjamin-Ono equation	2014	Rajib Dutta Helge Holden Ujjwal Koley Nils Henrik Risebro
+	Robust finite difference schemes for a nonlinear variational wave equation modeling liquid crystals	2013	Ujjwal Koley Siddhartha Mishra Nils Henrik Risebro Franziska Weber Angewandte Mathematik
+	A note on front tracking for the Keyfitz–Kranzer system	2013	Nils Henrik Risebro Franziska Weber
+	SPATIALLY PERIODIC SOLUTIONS FOR GAS FLOWS WITH PRESSURE DEPENDING ON A VARIABLE COEFFICIENT	2013	Hermano Frid Nils Henrik Risebro Hilde Sande
+	Convergence of a finite difference scheme for 2X2 Keyfitz-Kranzer system	2013	Ujjwal Koley Nils Henrik Risebro
+	Multilevel Monte Carlo for Random Degenerate Scalar Convection Diffusion Equation	2013	Ujjwal Koley Nils Henrik Risebro Ch. Schwab Franziska Weber
+	Operator splitting for the Benjamin-Ono equation	2013	Ritabrata Dutta Helge Holden Ujjwal Koley Nils Henrik Risebro
+ PDF Chat	Finite difference schemes for the symmetric Keyfitz–Kranzer system	2012	Ujjwal Koley Nils Henrik Risebro
+	Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation	2012	Helge Holden Ujjwal Koley Nils Henrik Risebro
+ PDF	Operator splitting for partial differential equations with Burgers nonlinearity	2012	Helge Holden Christian Lubich Nils Henrik Risebro
+	L1 Error Estimates for Difference Approximations Of Degenerate Convection-Diffusion Equations	2012	Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+	Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation	2012	Helge Holden Ujjwal Koley Nils Henrik Risebro
+	L1 Error Estimates for Difference Approximations Of Degenerate Convection-Diffusion Equations	2012	Kenneth H. Karlsen Nils Henrik Risebro Erlend Briseid Storrøsten
+ PDF Chat	Higher-order finite difference schemes for the magnetic induction equations with resistivity	2011	Ujjwal Koley S. Mishra Nils Henrik Risebro Magnus Svärd
+ PDF Chat	An error estimate for the finite difference approximation to degenerate convection–diffusion equations	2011	Kenneth H. Karlsen Ujjwal Koley Nils Henrik Risebro
+	Operator splitting for partial differential equations with Burgers nonlinearity	2011	Helge Holden Christian Lubich Nils Henrik Risebro
+ PDF	A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux	2011	Boris Andreïanov Kenneth H. Karlsen Nils Henrik Risebro
+	Higher order finite difference schemes for the magnetic induction equations with resistivity	2011	Ujjwal Koley S. Mishra Nils Henrik Risebro And M. Svard
+	An error estimate for the finite difference approximation to degenerate convection -diffusion equations	2011	Kenneth H. Karlsen Ujjwal Koley Nils Henrik Risebro
+	Existence of Solutions of the Cauchy Problem for Systems	2011	Helge Holden Nils Henrik Risebro
+	Scalar Conservation Laws	2011	Helge Holden Nils Henrik Risebro
+	Well-Posedness of the Cauchy Problem for Systems	2011	Helge Holden Nils Henrik Risebro
+	The Riemann Problem for Systems	2011	Helge Holden Nils Henrik Risebro
+	Operator splitting for partial differential equations with Burgers nonlinearity	2011	Helge Holden Christian Lubich Nils Henrik Risebro
+ PDF	Operator splitting for the KdV equation	2010	Helge Holden Kenneth H. Karlsen Nils Henrik Risebro Terence Tao
+ PDF	Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations	2010	Franz Fuchs A. D. McMurry Siddhartha Mishra Nils Henrik Risebro Knut Waagan
+ PDF	Front tracking for a model of immiscible gas flow with large data	2010	Helge Holden Nils Henrik Risebro Hilde Sande
+ PDF	On vanishing viscosity approximation of conservation laws with discontinuous flux	2010	Boris Andreïanov Kenneth H. Karlsen Nils Henrik Risebro
+ PDF	Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws	2009	Giuseppe Maria Coclite Suyash Narayan Mishra Nils Henrik Risebro
+ PDF	Stable upwind schemes for the magnetic induction equation	2009	Franz Fuchs Kenneth H. Karlsen S. Mishra Nils Henrik Risebro
+ PDF Chat	Higher order finite difference schemes for the magnetic induction equations	2009	Ujjwal Koley Siddhartha Mishra Nils Henrik Risebro Magnus Svärd
+ PDF	THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES	2009	Helge Holden Nils Henrik Risebro Hilde Sande
+	An Introduction to the Theory of Scalar Conservation Laws with Spatially Discontinuous Flux Functions	2009	Nils Henrik Risebro
+	Operator splitting for the KdV equation	2009	Helge Holden Kenneth H. Karlsen Nils Henrik Risebro Terence Tao
+ PDF	Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases	2009	Helge Holden Nils Henrik Risebro Hilde Sande
+	Convergence of Vanishing Viscosity Approximations of 2 x 2 Triangular Systems of Multi-Dimensional Conservation Laws	2009	Giuseppe Maria Coclite Kenneth H. Karlsen Suyash Narayan Mishra Nils Henrik Risebro
+	Semi-Godunov schemes for multiphase flows in porous media	2008	Kenneth H. Karlsen Siddhartha Mishra Nils Henrik Risebro
+ PDF	Convergence of finite volume schemes for triangular systems of conservation laws	2008	Kenneth H. Karlsen Siddhartha Mishra Nils Henrik Risebro
+ PDF	Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation	2008	Kenneth H. Karlsen Siddhartha Mishra Nils Henrik Risebro
+ PDF Chat	A convergent finite-difference method for a nonlinear variational wave equation	2008	Helge Holden Kenneth H. Karlsen Nils Henrik Risebro
+ PDF	An explicit finite difference scheme for the Camassa-Holm equation	2008	Giuseppe Maria Coclite Kenneth H. Karlsen Nils Henrik Risebro
+ PDF	A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General $H^1$ Initial Data	2008	Giuseppe Maria Coclite Kenneth H. Karlsen Nils Henrik Risebro
+	An explicit finite difference scheme for the Camassa-Holm equation	2008	Giuseppe Maria Coclite Kenneth H. Karlsen Nils Henrik Risebro
+ PDF	VISCOSITY SOLUTIONS OF HAMILTON–JACOBI EQUATIONS WITH DISCONTINUOUS COEFFICIENTS	2007	Giuseppe Maria Coclite Nils Henrik Risebro
+ PDF	A large-time-stepping scheme for balance equations	2007	Kenneth H. Karlsen Siddhartha Mishra Nils Henrik Risebro
+ PDF	Semi-Godunov schemes for general triangular systems of conservation laws	2007	Kenneth H. Karlsen Siddhartha Mishra Nils Henrik Risebro
+ PDF	Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation	2007	Giuseppe Maria Coclite Kenneth H. Karlsen Nils Henrik Risebro
+ PDF	Convergent difference schemes for the Hunter–Saxton equation	2007	Helge Holden Kenneth H. Karlsen Nils Henrik Risebro
+	A convergent finite difference method for a nonlinear variational wave equation	2007	Helge Holden Kenneth H. Karlsen Nils Henrik Risebro
+	A relaxation scheme forcontinuous sedimentation in ideal clarifier-thickener units	2005	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro
+ PDF	Conservation Laws with Time Dependent Discontinuous Coefficients	2005	Giuseppe Maria Coclite Nils Henrik Risebro
+ PDF	Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units	2004	Reinhard B�rger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+ PDF	FRONT TRACKING FOR SCALAR BALANCE EQUATIONS	2004	Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	Monotone difference approximations for the simulation of clarifier-thickener units	2004	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+ PDF	A relaxation scheme for conservation laws with a discontinuous coefficient	2003	Kenneth H. Karlsen Christian Klingenberg Nils Henrik Risebro
+	Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units	2003	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations	2003	Helge Holden Kenneth H. Karlsen Nils Henrik Risebro
+	A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units	2003	Raimund Bürger Kenneth H. Karlsen Christian Klingenberg Nils Henrik Risebro
+	Relaxation Schemes for Conservation Laws with Discontinuous Coefficients	2003	Kenneth H. Karlsen Christian Klingenberg Nils Henrik Risebro
+ PDF	On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients	2003	Kenneth H. Karlsen Nils Henrik Risebro
+	On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area	2003	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS	2003	Kenneth H. Karlsen Nils Henrik Risebro John D. Towers
+	Viscosity solutions of Hamilton--Jacobi equations with discontinuous coefficients	2003	Giuseppe Maria Coclite Nils Henrik Risebro
+	On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient	2002	Kenneth H. Karlsen Nils Henrik Risebro
+ PDF	A note on front tracking and the equivalence between viscosity solutions of Hamilton–Jacobi equations and entropy solutions of scalar conservation laws	2002	Kenneth H. Karlsen Nils Henrik Risebro
+	Existence of Solutions of the Cauchy Problem for Systems	2002	Helge Holden Nils Henrik Risebro
+	Well-Posedness of the Cauchy Problem for Systems	2002	Helge Holden Nils Henrik Risebro
+ PDF	The Riemann problem for an elastic string with a linear Hooke’s law	2002	Harald Hanche-Olsen Helge Holden Nils Henrik Risebro
+	The Riemann Problem for Systems	2002	Helge Holden Nils Henrik Risebro
+	Scalar Conservation Laws	2002	Helge Holden Nils Henrik Risebro
+	Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation	2001	Christian Klingenberg Nils Henrik Risebro
+ PDF	Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients	2001	Kenneth H. Karlsen Nils Henrik Risebro
+ PDF	On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations	2001	Espen R. Jakobsen Kenneth H. Karlsen Nils Henrik Risebro
+	On the Convergence Rate ofOperator Splitting for Hamilton--Jacobi Equations with Source Terms	2001	Espen R. Jakobsen Kenneth H. Karlsen Nils Henrik Risebro
+	A Continuous Dependence Result for Nonlinear Degenerate Parabolic Equations with Spatially Dependent Flux Function	2001	Steinar Evje Kenneth H. Karlsen Nils Henrik Risebro
+	Operator Splitting for Convection-Dominated Nonlinear Partial Differential Equations	2001	Helge Holden Kenneth H. Karlsen Knut–Andreas Lie Nils Henrik Risebro
+	Front Tracking and Operator Splitting for Nonlinear Degenerate Convection-Diffusion Equations	2000	Steinar Evje Kenneth H. Karlsen Knut–Andreas Lie Nils Henrik Risebro
+	Corrected Operator Splitting for Nonlinear Parabolic Equations	2000	Kenneth H. Karlsen Nils Henrik Risebro
+	Stability of Conservation Laws with Discontinuous Coefficients	1999	Runhild A. Klausen Nils Henrik Risebro
+	Operator Splitting Methods for Generalized Korteweg–De Vries Equations	1999	Helge Holden Kenneth H. Karlsen Nils Henrik Risebro
+	An Unconditionally Stable Method for the Euler Equations	1999	Helge Holden Knut–Andreas Lie Nils Henrik Risebro
+	A Front Tracking Method for Conservation Laws with Boundary Conditions	1999	Kenneth H. Karlsen Knut–Andreas Lie Nils Henrik Risebro
+	Well-posedness of a 2 × 2 System of Resonant Conservation Laws	1999	Runhild A. Klausen Nils Henrik Risebro
+	Riemann Problems with a Kink	1999	Helge Holden Nils Henrik Risebro
+	Continuous dependence in the large for some equations of gas dynamics	1998	Rinaldo M. Colombo Nils Henrik Risebro
+ PDF	Conservation laws with a random source	1997	Helge Holden Nils Henrik Risebro
+	An operator splitting method for nonlinear convection-diffusion equations	1997	Kenneth H. Karlsen Nils Henrik Risebro
+	Maximum Principles for a Class of Conservation Laws	1995	Helge Holden Nils Henrik Risebro Aslak Tveito
+	Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior	1995	Christian Klingenberg Nils Henrik Risebro
+ PDF	A front-tracking alternative to the random choice method	1993	Nils Henrik Risebro
+ PDF	A Front-Tracking Alternative to the Random Choice Method	1993	Nils Henrik Risebro
+ PDF	A method of fractional steps for scalar conservation laws without the CFL condition	1993	Helge Holden Nils Henrik Risebro
+	A Conservative Front Tracking Scheme for 1D Hyperbolic Conservation Laws	1993	Jan Olav Langseth Nils Henrik Risebro Aslak Tveito
+ PDF	A Method of Fractional Steps for Scalar Conservation Laws without the CFL Condition	1993	Helge Holden Nils Henrik Risebro
+	A Mathematical Model of Traffic Flow on a Network of Roads	1993	Helge Holden Nils Henrik Risebro
+ PDF	A front tracking method for conservation laws in one dimension	1992	Nils Henrik Risebro Aslak Tveito
+ PDF	Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function	1992	Tore Gimse Nils Henrik Risebro
+	A New Front-Tracking Method for Reservoir Simulation	1992	Frode Bratvedt Kyrre Bratvedt C. Buchholz Lars Holden Helge Holden Nils Henrik Risebro
+	Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws	1991	Nils Henrik Risebro Aslak Tveito
+	Stochastic Properties of the Scalar Buckley-Leverett Equation	1991	Helge Holden Nils Henrik Risebro
+	A FRACTIONAL STEPS METHOD FOR SCALAR CONSERVATION LAWS WITHOUT THE CFL CONDITION	1991	Helge Holden Nils Henrik Risebro
+	Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws.	1991	Nils Henrik Risebro Aslak Tveito
+	Some qualitative properties of 2x2 systems of conservation laws of mixed type	1990	Helge Holden Lyman Holden Nils Henrik Risebro
+ PDF	Some Qualitative Properties of 2 × 2 Systems of Conservation Laws of Mixed Type	1990	Helge Holden Lars Holden Nils Henrik Risebro
+	The Riemann problem for a single conservation law in two space dimensions	1988	Raphaël Høegh-Krohn Nils Henrik Risebro

Common Coauthors

Coauthor	Papers Together
Helge Holden	64
Kenneth H. Karlsen	59
Ujjwal Koley	21
Giuseppe Maria Coclite	20
Erlend Briseid Storrøsten	14
Christian Klingenberg	8
Siddhartha Mishra	8
Franziska Weber	6
Håkon Hoel	6
John D. Towers	6
Rajib Dutta	5
Raimund Bürger	5
Aslak Tveito	5
Neelabja Chatterjee	5
Knut–Andreas Lie	4
Espen R. Jakobsen	4
Adrian M. Ruf	4
Hilde Sande	4
Harald Hanche-Olsen	3
Jayesh Badwaik	3
Christian Lubich	3
S. Mishra	3
Christoph Schwab	3
Boris Andreïanov	2
Rajib Dutta	2
Fritz Gesztesy	2
Ritabrata Dutta	2
Lars Holden	2
Ulrik Skre Fjordholm	2
Terence Tao	2
Magnus Svärd	2
Franz Fuchs	2
Markus Musch	2
Steinar Evje	2
Runhild A. Klausen	2
Kristian Seip	2
Yurii Lyubarskii	2
J.K. Ridder	2
Suyash Narayan Mishra	2
Tore Gimse	1
Jan Olav Langseth	1
Hermano Frid	1
A. D. McMurry	1
Oleg Reichmann	1
Lyman Holden	1
C. Buchholz	1
Angewandte Mathematik	1
Fabio S. Priuli	1
Rinaldo M. Colombo	1
Reinhard B�rger	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES	1970	S N Kružkov	34
+ PDF	Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function	1992	Tore Gimse Nils Henrik Risebro	28
+	A numerical method for first order nonlinear scalar conservation laws in one-dimension	1988	Helge Holden Lars Holden Raphaël Høegh-Krohn	25
+	Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux	2000	John D. Towers	23
+	Global solution of the cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws	1982	Blake Temple	22
+	Polygonal approximations of solutions of the initial value problem for a conservation law	1972	Constantine M. Dafermos	22
+	Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior	1995	Christian Klingenberg Nils Henrik Risebro	21
+	L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS	2003	Kenneth H. Karlsen Nils Henrik Risebro John D. Towers	19
+	A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case	2001	John D. Towers	19
+	Solutions in the large for nonlinear hyperbolic systems of equations	1965	James Glimm	17
+	Entropy Solutions for Nonlinear Degenerate Problems	1999	José Carrillo	17
+	Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient	2002	Kenneth H. Karlsen	15
+ PDF	Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients	2001	Kenneth H. Karlsen Nils Henrik Risebro	12
+	Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation	2001	Christian Klingenberg Nils Henrik Risebro	12
+	Stability of Conservation Laws with Discontinuous Coefficients	1999	Runhild A. Klausen Nils Henrik Risebro	11
+ PDF	A Moving Mesh Numerical Method for Hyperbolic Conservation Laws	1986	Bradley J. Lucier	11
+	A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation	1996	S. Diehl	11
+	Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions	1987	David H. Wagner	11
+ PDF	A moving mesh numerical method for hyperbolic conservation laws	1986	Bradley J. Lucier	10
+ PDF	ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS	2003	Nicolas Seguin Julien Vovelle	10
+	OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS	2005	Adimurthi Siddhartha Mishra G. D. Veerappa Gowda	10
+	Operator Splitting Methods for Generalized Korteweg–De Vries Equations	1999	Helge Holden Kenneth H. Karlsen Nils Henrik Risebro	10
+ PDF	A front-tracking alternative to the random choice method	1993	Nils Henrik Risebro	10
+	Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws	1991	Nils Henrik Risebro Aslak Tveito	9
+ PDF	CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX	2004	Kenneth H. Karlsen John D. Towers	9
+ PDF	An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations	2002	Steinar Evje Kenneth H. Karlsen	9
+	A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units	2003	Raimund Bürger Kenneth H. Karlsen Christian Klingenberg Nils Henrik Risebro	9
+ PDF	On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients	2003	Kenneth H. Karlsen Nils Henrik Risebro	9
+ PDF	A method of fractional steps for scalar conservation laws without the CFL condition	1993	Helge Holden Nils Henrik Risebro	9
+	Discontinuous solutions of non-linear differential equations	1963	O. A. Oleĭnik	8
+	On Scalar Conservation Laws with Point Source and Discontinuous Flux Function	1995	S. Diehl	8
+	CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS	1969	Aizik Volpert S I Hudjaev	8
+ PDF	Conservation laws with a random source	1997	Helge Holden Nils Henrik Risebro	8
+	Introduction to Nonlinear Dispersive Equations	2009	Felipe Linares Gustavo Ponce	8
+	First order quasilinear equations with boundary conditions	1979	Claude Bardos Alain Leroux Jean-Claude Nédélec	8
+	Convergence of a finite volume scheme for nonlinear degenerate parabolic equations	2002	Robert Eymard Thierry Gallouït Raphaèle Herbin Anthony Michel	8
+ PDF	Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units	2004	Reinhard B�rger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers	8
+	Continuous Dependence on the Nonlinearities of Solutions of Degenerate Parabolic Equations	1999	Bernardo Cockburn Gustaf Gripenberg	8
+	Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units	2003	Raimund Bürger Kenneth H. Karlsen Nils Henrik Risebro John D. Towers	7
+	Existence, Uniqueness, and Continuous Dependence for a System of Hyperbolic Conservation Laws Modeling Polymer Flooding	1991	Aslak Tveito Ragnar Winther	7
+	Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations	1999	Steinar Evje Kenneth H. Karlsen	7
+	A primer of nonlinear analysis	1993	Antonio Ambrosetti G. A. Prodi	7
+ PDF	<b><i>A posteriori</i></b>error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations	2001	Mario Ohlberger	7
+	Monotone Difference Approximations Of <i>BV</i> Solutions To Degenerate Convection-Diffusion Equations	2000	Steinar Evje Kenneth H. Karlsen	7
+	Compensated compactness and applications to partial differential equations	1979	Luc Tartar	7
+	Nonlinear Dispersive Equations	2006	Terence Tao	7
+	Global solutions of systems of conservation laws by wave-front tracking	1992	Alberto Bressan	6
+ PDF	Monotone difference approximations for scalar conservation laws	1980	Michael G. Crandall Andrew J. Majda	6
+	The initial-value problem for the Korteweg-de Vries equation	1975	Jerry L. Bona R. Jeffrey Smith	6
+	On Strongly Degenerate Convection–Diffusion Problems Modeling Sedimentation–Consolidation Processes	2000	Raimund Bürger Steinar Evje Kenneth H. Karlsen	6