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Risebro, Nils Henrik

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Author ID: risebro.nils-henrik Recent zbMATH articles by "Risebro, Nils Henrik"
Published as: Risebro, Nils Henrik; Risebro, N. H.; Risebro, Nils H.
Documents Indexed: 118 Publications since 1990, including 5 Books
all top 5

Serials

8 Mathematics of Computation
6 Journal of Computational Physics
5 IMA Journal of Numerical Analysis
5 BIT
5 Numerische Mathematik
5 SIAM Journal on Numerical Analysis
5 SIAM Journal on Mathematical Analysis
5 Journal of Hyperbolic Differential Equations
4 Journal of Differential Equations
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 International Journal of Numerical Analysis and Modeling
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Applied Mathematical Sciences
2 Journal of Engineering Mathematics
2 Communications in Partial Differential Equations
2 SIAM Journal on Applied Mathematics
2 Electronic Journal of Differential Equations (EJDE)
2 Discrete and Continuous Dynamical Systems
2 Computational Geosciences
2 Communications in Computational Physics
2 Networks and Heterogeneous Media
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Inverse Problems
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Applied Mathematics and Optimization
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 SIAM Journal on Scientific and Statistical Computing
1 Stochastic Analysis and Applications
1 Applied Numerical Mathematics
1 Surveys on Mathematics for Industry
1 Advances in Differential Equations
1 Skrifter. Det Kongelige Norske Videnskabers Selskab
1 Computing and Visualization in Science
1 Vietnam Journal of Mathematics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Nonlinear Analysis. Real World Applications
1 Milan Journal of Mathematics
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 S\(\vec{\text{e}}\)MA Journal
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 SIAM/ASA Journal on Uncertainty Quantification
1 EMS Series of Lectures in Mathematics
1 EMS Series of Congress Reports

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,713 times in 890 Documents Cited by Year
Front tracking for hyperbolic conservation laws. Zbl 1006.35002
Holden, Helge; Risebro, Nils Henrik
89
2002
Solution of the Cauchy problem for a conservation law with a discontinuous flux function. Zbl 0776.35034
Gimse, Tore; Risebro, Nils Henrik
74
1992
A mathematical model of traffic flow on a network of unidirectional roads. Zbl 0833.35089
Holden, Helge; Risebro, Nils Henrik
70
1995
A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux. Zbl 1261.35088
Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
68
2011
\(L^1\) stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Zbl 1036.35104
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
65
2003
Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior. Zbl 0836.35090
Klingenberg, Christian; Risebro, Nils Henrik
62
1995
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Zbl 1027.35057
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
62
2003
Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005
Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik
53
2010
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
53
2002
Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1053.76047
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
52
2004
Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004
Holden, Helge; Risebro, Nils Henrik
52
2015
Riemann problems with a discontinuous flux function. Zbl 0789.35102
Gimse, Tore; Risebro, Nils Henrik
40
1991
Stability of conservation laws with discontinuous coefficients. Zbl 0935.35097
Klausen, Runhild Aae; Risebro, Nils Henrik
32
1999
Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. Zbl 1032.76048
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
32
2001
Operator splitting for the KdV equation. Zbl 1219.35235
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence
29
2011
Conservation laws with a random source. Zbl 0885.35069
Holden, H.; Risebro, N. H.
29
1997
Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
28
2013
Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. Zbl 1246.76114
Coclite, G. M.; Karlsen, K. H.; Risebro, N. H.
28
2008
On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305
Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H.
27
2010
Stability of a resonant system of conservation laws modeling polymer flow with gravitation. Zbl 0977.35083
Klingenberg, Christian; Risebro, Nils Henrik
27
2001
A front-tracking alternative to the random choice method. Zbl 0799.35153
Risebro, Nils Henrik
26
1993
A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Zbl 1013.35052
Bürger, R.; Karlsen, K. H.; Klingenberg, C.; Risebro, N. H.
25
2003
Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
23
1999
When are HJB-equations in stochastic control of delay systems finite dimensional? Zbl 1052.60051
Larssen, Bjørnar; Risebro, Nils Henrik
23
2003
Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003
Holden, Helge; Risebro, Nils Henrik
22
2011
Conservation laws with time dependent discontinuous coefficients. Zbl 1078.35071
Coclite, Giuseppe Maria; Risebro, Nils Henrik
22
2005
An operator splitting method for nonlinear convection-diffusion equations. Zbl 0882.35074
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
21
1997
A convergent finite difference scheme for the Camassa–Holm equation with general \(H^1\) initial data. Zbl 1172.35310
Coclite, G. M.; Karlsen, K. H.; Risebro, N. H.
20
2008
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Zbl 1015.35049
Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D.
17
2002
Front tracking applied to a nonstrictly hyperbolic system of conservation laws. Zbl 0736.65075
Risebro, Nils Henrik; Tveito, Aslak
16
1991
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
16
2016
Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H.
15
2009
A front tracking method for conservation laws in one dimension. Zbl 0756.65120
Risebro, N. H.; Tveito, A.
15
1992
Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101
Holden, H.; Karlsen, K. H.; Risebro, N. H.
14
2007
Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
14
2004
On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. Zbl 1059.70012
Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
13
2001
A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws. Zbl 1010.35026
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
13
2002
The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180
Holden, Helge; Risebro, Nils Henrik
13
2018
Approximate Riemann solvers and robust high-order finite volume schemes for multi-dimensional ideal MHD equations. Zbl 1364.76113
Fuchs, Franz Georg; McMurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut
13
2011
The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
12
2009
An unconditionally stable method for the Euler equations. Zbl 0922.76251
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik
12
1999
Corrected operator splitting for nonlinear parabolic equations. Zbl 0951.35080
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
12
2000
A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain. Zbl 1368.65133
Coclite, G. M.; Ridder, J.; Risebro, N. H.
12
2017
An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Zbl 1248.65098
Karlsen, K. H.; Koley, U.; Risebro, N. H.
11
2012
Higher-order finite difference schemes for the magnetic induction equations with resistivity. Zbl 1252.78033
Koley, U.; Mishra, S.; Risebro, N. H.; Svärd, M.
11
2012
Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
11
2009
Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317
Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus
11
2009
Continuous dependence in the large for some equations of gas dynamics. Zbl 0927.35082
Colombo, Rinaldo M.; Risebro, Nils H.
11
1998
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
11
2015
Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021
Fuchs, F. G.; Mishra, S.; Risebro, N. H.
10
2009
A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1122.76063
Bürger, R.; Karlsen, K. H.; Risebro, N. H.
10
2005
A relaxation scheme for conservation laws with a discontinuous coefficient. Zbl 1078.65076
Karlsen, K. H.; Klingenberg, C.; Risebro, N. H.
10
2004
A stochastic approach to conservation laws. Zbl 0789.35103
Holden, H.; Risebro, N. H.
10
1991
Riemann problems with a kink. Zbl 0926.35087
Holden, Helge; Risebro, Nils Henrik
10
1999
A method of fractional steps for scalar conservation laws without the CFL conditions. Zbl 0799.35150
Holden, Helge; Risebro, Nils Henrik
10
1993
Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. Zbl 1369.65108
Coclite, G. M.; Mishra, S.; Risebro, N. H.
9
2010
Viscosity solutions of Hamilton-Jacobi equations with discontinuous coefficients. Zbl 1144.35016
Coclite, Giuseppe Maria; Risebro, Nils Henrik
9
2007
Unconditionally stable methods for Hamilton-Jacobi equations. Zbl 1143.65365
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
9
2002
An explicit finite difference scheme for the Camassa-Holm equation. Zbl 1191.35021
Coclite, Giuseppe Maria; Karlsen, Kenneth H.; Risebro, Nils Henrik
9
2008
\(L^{1}\) error estimates for difference approximations of degenerate convection-diffusion equations. Zbl 1300.65067
Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B.
9
2014
High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Zbl 1190.76153
Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K.
8
2010
A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112
Holden, H.; Karlsen, K. H.; Risebro, N. H.
8
2009
A fast marching method for reservoir simulation. Zbl 0997.76062
Karlsen, K. Hvistendahl; Lie, K.-A.; Risebro, N. H.
8
2000
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H.
8
2003
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
8
2018
A multilevel Monte Carlo finite difference method for random scalar degenerate convection-diffusion equations. Zbl 1373.35179
Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
8
2017
Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
7
2010
An introduction to the theory of scalar conservation laws with spatially discontinuous flux functions. Zbl 1191.74032
Risebro, Nils Henrik
7
2009
FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking. Zbl 0780.76073
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian F.; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik
7
1993
Convergence of a higher order scheme for the Korteweg-de Vries equation. Zbl 1342.35301
Dutta, Rajib; Koley, Ujjwal; Risebro, Nils Henrik
7
2015
Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
6
2009
Front tracking for scalar balance equations. Zbl 1053.35088
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
6
2004
On a model for continuous sedimentation in vessels with discontinuous cross-sectional area. Zbl 1059.76542
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
6
2003
Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations. Zbl 0961.65073
Evje, S.; Karlsen, K. Hvistendahl; Lie, K. A.; Risebro, N. H.
6
2000
Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Zbl 1392.76075
Coclite, G. M.; Mishra, S.; Risebro, N. H.; Weber, F.
6
2014
Multilevel Monte Carlo front-tracking for random scalar conservation laws. Zbl 1350.65008
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
6
2016
A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.
5
2012
Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022
Karlsen, K. H.; Mishra, S.; Risebro, N. H.
5
2009
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Zbl 1342.65182
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid
5
2016
A conservative front tracking scheme for 1D hyperbolic conservation laws. Zbl 0964.65517
Langseth, Jan Olav; Risebro, Nils Henrik; Tveito, Aslak
4
1993
Path-dependent convex conservation laws. Zbl 1402.35170
Hoel, H.; Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B.
4
2018
Convergence of vanishing viscosity approximations of \(2\times 2\) triangular systems of multi-dimensional conservation laws. Zbl 1178.35246
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.
4
2009
Operator splitting for the Benjamin-Ono equation. Zbl 1326.35311
Dutta, R.; Holden, H.; Koley, U.; Risebro, N. H.
4
2015
Models for dense multilane vehicular traffic. Zbl 1441.35162
Holden, Helge; Risebro, Nils Henrik
4
2019
Some qualitative properties of 2\(\times 2\) systems of conservation laws of mixed type. Zbl 0718.76111
Holden, H.; Holden, L.; Risebro, N. H.
3
1990
Stochastic properties of the scalar Buckley-Leverett equation. Zbl 0745.60064
Holden, Helge; Risebro, Nils Henrik
3
1991
A front tracking method for conservation laws with boundary conditions. Zbl 0928.35098
Hvistendahl, K.; Lie, K.-A.; Risebro, N. H.
3
1999
Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
3
2016
On an inverse problem for scalar conservation laws. Zbl 1286.35266
Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik
3
2014
A difference method for the McKean-Vlasov equation. Zbl 1423.35382
Coclite, Giuseppe Maria; Risebro, Nils Henrik
3
2019
A convergent difference scheme for a class of partial integro-differential equations modeling pricing under uncertainty. Zbl 1336.35348
Coclite, G. M.; Reichmann, O.; Risebro, N. H.
2
2016
Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. Zbl 1404.65119
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
1
2009
Finite difference schemes for the symmetric Keyfitz-Kranzer system. Zbl 1277.65070
Koley, Ujjwal; Risebro, Nils Henrik
1
2013
Operator splitting for convection-dominated nonlinear partial differential equations. Zbl 0989.65093
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik
1
2001
Reservoir simulation by front tracking. Zbl 0976.35509
Gimse, T.; Holden, H.; Risebro, N. H.
1
1996
Well-posedness of a \(2\times 2\) system of resonant conservation laws. Zbl 0931.35094
Klausen, Runhild Aae; Risebro, Nils Henrik
1
1999
Maximum principles for a class of conservation laws. Zbl 0843.35056
Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak
1
1995
Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
1
2008
A note on the convergence of a Crank-Nicolson scheme for the KdV equation. Zbl 1401.65104
Dutta, Rajib; Risebro, Nils Henrik
1
2016
Correction to: “Multilevel Monte Carlo front-tracking for random scalar conservation laws”. Zbl 1430.65004
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
1
2018
Numerical methods for conservation laws with rough flux. Zbl 1437.35485
Hoel, H.; Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B.
1
2020
Models for dense multilane vehicular traffic. Zbl 1441.35162
Holden, Helge; Risebro, Nils Henrik
4
2019
A difference method for the McKean-Vlasov equation. Zbl 1423.35382
Coclite, Giuseppe Maria; Risebro, Nils Henrik
3
2019
The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180
Holden, Helge; Risebro, Nils Henrik
13
2018
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
8
2018
Path-dependent convex conservation laws. Zbl 1402.35170
Hoel, H.; Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B.
4
2018
Correction to: “Multilevel Monte Carlo front-tracking for random scalar conservation laws”. Zbl 1430.65004
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
1
2018
A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain. Zbl 1368.65133
Coclite, G. M.; Ridder, J.; Risebro, N. H.
12
2017
A multilevel Monte Carlo finite difference method for random scalar degenerate convection-diffusion equations. Zbl 1373.35179
Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
8
2017
Practical convergence rates for degenerate parabolic equations. Zbl 1372.35166
Karlsen, Kenneth H.; Risebro, Nils H.; Storrøsten, E. B.
1
2017
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
16
2016
Multilevel Monte Carlo front-tracking for random scalar conservation laws. Zbl 1350.65008
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
6
2016
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Zbl 1342.65182
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid
5
2016
Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
3
2016
A convergent difference scheme for a class of partial integro-differential equations modeling pricing under uncertainty. Zbl 1336.35348
Coclite, G. M.; Reichmann, O.; Risebro, N. H.
2
2016
A note on the convergence of a Crank-Nicolson scheme for the KdV equation. Zbl 1401.65104
Dutta, Rajib; Risebro, Nils Henrik
1
2016
Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004
Holden, Helge; Risebro, Nils Henrik
52
2015
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
11
2015
Convergence of a higher order scheme for the Korteweg-de Vries equation. Zbl 1342.35301
Dutta, Rajib; Koley, Ujjwal; Risebro, Nils Henrik
7
2015
Operator splitting for the Benjamin-Ono equation. Zbl 1326.35311
Dutta, R.; Holden, H.; Koley, U.; Risebro, N. H.
4
2015
\(L^{1}\) error estimates for difference approximations of degenerate convection-diffusion equations. Zbl 1300.65067
Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B.
9
2014
Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Zbl 1392.76075
Coclite, G. M.; Mishra, S.; Risebro, N. H.; Weber, F.
6
2014
On an inverse problem for scalar conservation laws. Zbl 1286.35266
Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik
3
2014
Convergence of a relaxation scheme for a \(2\times 2\) triangular system of conservation laws. Zbl 1320.65127
Agrell, Christian; Risebro, Nils Henrik
1
2014
Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
28
2013
Finite difference schemes for the symmetric Keyfitz-Kranzer system. Zbl 1277.65070
Koley, Ujjwal; Risebro, Nils Henrik
1
2013
A note on front tracking for the Keyfitz-Kranzer system. Zbl 1316.35192
Risebro, N. H.; Weber, F.
1
2013
An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Zbl 1248.65098
Karlsen, K. H.; Koley, U.; Risebro, N. H.
11
2012
Higher-order finite difference schemes for the magnetic induction equations with resistivity. Zbl 1252.78033
Koley, U.; Mishra, S.; Risebro, N. H.; Svärd, M.
11
2012
A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.
5
2012
A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux. Zbl 1261.35088
Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
68
2011
Operator splitting for the KdV equation. Zbl 1219.35235
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence
29
2011
Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003
Holden, Helge; Risebro, Nils Henrik
22
2011
Approximate Riemann solvers and robust high-order finite volume schemes for multi-dimensional ideal MHD equations. Zbl 1364.76113
Fuchs, Franz Georg; McMurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut
13
2011
Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005
Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik
53
2010
On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305
Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H.
27
2010
Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. Zbl 1369.65108
Coclite, G. M.; Mishra, S.; Risebro, N. H.
9
2010
High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Zbl 1190.76153
Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K.
8
2010
Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
7
2010
Finite volume methods for wave propagation in stratified magneto-atmospheres. Zbl 1364.76114
Fuchs, Franz Georg; Mcmurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut
1
2010
Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H.
15
2009
The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
12
2009
Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
11
2009
Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317
Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus
11
2009
Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021
Fuchs, F. G.; Mishra, S.; Risebro, N. H.
10
2009
A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112
Holden, H.; Karlsen, K. H.; Risebro, N. H.
8
2009
An introduction to the theory of scalar conservation laws with spatially discontinuous flux functions. Zbl 1191.74032
Risebro, Nils Henrik
7
2009
Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
6
2009
Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022
Karlsen, K. H.; Mishra, S.; Risebro, N. H.
5
2009
Convergence of vanishing viscosity approximations of \(2\times 2\) triangular systems of multi-dimensional conservation laws. Zbl 1178.35246
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.
4
2009
Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. Zbl 1404.65119
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
1
2009
Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. Zbl 1246.76114
Coclite, G. M.; Karlsen, K. H.; Risebro, N. H.
28
2008
A convergent finite difference scheme for the Camassa–Holm equation with general \(H^1\) initial data. Zbl 1172.35310
Coclite, G. M.; Karlsen, K. H.; Risebro, N. H.
20
2008
An explicit finite difference scheme for the Camassa-Holm equation. Zbl 1191.35021
Coclite, Giuseppe Maria; Karlsen, Kenneth H.; Risebro, Nils Henrik
9
2008
Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
1
2008
Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101
Holden, H.; Karlsen, K. H.; Risebro, N. H.
14
2007
Viscosity solutions of Hamilton-Jacobi equations with discontinuous coefficients. Zbl 1144.35016
Coclite, Giuseppe Maria; Risebro, Nils Henrik
9
2007
Conservation laws with time dependent discontinuous coefficients. Zbl 1078.35071
Coclite, Giuseppe Maria; Risebro, Nils Henrik
22
2005
A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1122.76063
Bürger, R.; Karlsen, K. H.; Risebro, N. H.
10
2005
Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1053.76047
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
52
2004
Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
14
2004
A relaxation scheme for conservation laws with a discontinuous coefficient. Zbl 1078.65076
Karlsen, K. H.; Klingenberg, C.; Risebro, N. H.
10
2004
Front tracking for scalar balance equations. Zbl 1053.35088
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
6
2004
\(L^1\) stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Zbl 1036.35104
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
65
2003
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Zbl 1027.35057
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
62
2003
A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Zbl 1013.35052
Bürger, R.; Karlsen, K. H.; Klingenberg, C.; Risebro, N. H.
25
2003
When are HJB-equations in stochastic control of delay systems finite dimensional? Zbl 1052.60051
Larssen, Bjørnar; Risebro, Nils Henrik
23
2003
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H.
8
2003
On a model for continuous sedimentation in vessels with discontinuous cross-sectional area. Zbl 1059.76542
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
6
2003
Front tracking for hyperbolic conservation laws. Zbl 1006.35002
Holden, Helge; Risebro, Nils Henrik
89
2002
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
53
2002
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Zbl 1015.35049
Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D.
17
2002
A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws. Zbl 1010.35026
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
13
2002
Unconditionally stable methods for Hamilton-Jacobi equations. Zbl 1143.65365
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
9
2002
Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. Zbl 1032.76048
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
32
2001
Stability of a resonant system of conservation laws modeling polymer flow with gravitation. Zbl 0977.35083
Klingenberg, Christian; Risebro, Nils Henrik
27
2001
On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. Zbl 1059.70012
Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
13
2001
Operator splitting for convection-dominated nonlinear partial differential equations. Zbl 0989.65093
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik
1
2001
Corrected operator splitting for nonlinear parabolic equations. Zbl 0951.35080
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
12
2000
A fast marching method for reservoir simulation. Zbl 0997.76062
Karlsen, K. Hvistendahl; Lie, K.-A.; Risebro, N. H.
8
2000
Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations. Zbl 0961.65073
Evje, S.; Karlsen, K. Hvistendahl; Lie, K. A.; Risebro, N. H.
6
2000
Stability of conservation laws with discontinuous coefficients. Zbl 0935.35097
Klausen, Runhild Aae; Risebro, Nils Henrik
32
1999
Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
23
1999
An unconditionally stable method for the Euler equations. Zbl 0922.76251
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik
12
1999
Riemann problems with a kink. Zbl 0926.35087
Holden, Helge; Risebro, Nils Henrik
10
1999
A front tracking method for conservation laws with boundary conditions. Zbl 0928.35098
Hvistendahl, K.; Lie, K.-A.; Risebro, N. H.
3
1999
Well-posedness of a \(2\times 2\) system of resonant conservation laws. Zbl 0931.35094
Klausen, Runhild Aae; Risebro, Nils Henrik
1
1999
Continuous dependence in the large for some equations of gas dynamics. Zbl 0927.35082
Colombo, Rinaldo M.; Risebro, Nils H.
11
1998
Conservation laws with a random source. Zbl 0885.35069
Holden, H.; Risebro, N. H.
29
1997
An operator splitting method for nonlinear convection-diffusion equations. Zbl 0882.35074
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
21
1997
Reservoir simulation by front tracking. Zbl 0976.35509
Gimse, T.; Holden, H.; Risebro, N. H.
1
1996
A mathematical model of traffic flow on a network of unidirectional roads. Zbl 0833.35089
Holden, Helge; Risebro, Nils Henrik
70
1995
Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior. Zbl 0836.35090
Klingenberg, Christian; Risebro, Nils Henrik
62
1995
Maximum principles for a class of conservation laws. Zbl 0843.35056
Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak
1
1995
A front-tracking alternative to the random choice method. Zbl 0799.35153
Risebro, Nils Henrik
26
1993
A method of fractional steps for scalar conservation laws without the CFL conditions. Zbl 0799.35150
Holden, Helge; Risebro, Nils Henrik
10
1993
FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking. Zbl 0780.76073
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian F.; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik
7
1993
A conservative front tracking scheme for 1D hyperbolic conservation laws. Zbl 0964.65517
Langseth, Jan Olav; Risebro, Nils Henrik; Tveito, Aslak
4
1993
Solution of the Cauchy problem for a conservation law with a discontinuous flux function. Zbl 0776.35034
Gimse, Tore; Risebro, Nils Henrik
74
1992
A front tracking method for conservation laws in one dimension. Zbl 0756.65120
Risebro, N. H.; Tveito, A.
15
1992
...and 5 more Documents
all top 5

Cited by 1,106 Authors

56 Risebro, Nils Henrik
54 Karlsen, Kenneth Hvistendahl
32 Coclite, Giuseppe Maria
28 Bürger, Raimund
27 Mishra, Siddhartha
24 Holden, Helge
23 Colombo, Rinaldo M.
19 Goatin, Paola
18 Andreianov, Boris
17 Piccoli, Benedetto
15 Koley, Ujjwal
13 Diehl, Stefan
13 Herty, Michael Matthias
13 Rosini, Massimiliano Daniele
13 Shen, Wen
12 Garavello, Mauro
12 Towers, John D.
11 Amadori, Debora
11 Klingenberg, Christian
10 Göttlich, Simone
10 Jakobsen, Espen Robstad
9 Chen, Gui-Qiang G.
9 Gowda, G. D. Veerappa
9 Ostermann, Alexander
9 Raynaud, Xavier
8 Adimurthi, A.
8 Bressan, Alberto
8 Corli, Andrea
8 Di Ruvo, Lorenzo
8 Fjordholm, Ulrik Skre
8 Frid, Hermano
8 Rohde, Christian
8 Schwab, Christoph
7 Ancona, Fabio
7 Donadello, Carlotta
7 Evje, Steinar
7 Gess, Benjamin
7 Wang, Guodong
6 Berres, Stefan
6 Cancès, Clément
6 Geiser, Jürgen
6 Lie, Knut-Andreas
6 Majee, Ananta K.
6 Rossi, Elena
6 Ruiz-Baier, Ricardo
6 Sepúlveda, Mauricio A.
6 Shen, Chun
6 Storrøsten, Erlend Briseid
6 Weber, Franziska
6 Wu, Xinglong
5 Abreu, Eduardo
5 Asakura, Fumioki
5 Bauzet, Caroline
5 Biswas, Imran H.
5 Chalons, Christophe
5 Christoforou, Cleopatra C.
5 Cifani, Simone
5 Csomós, Petra
5 Dutta, Rajib
5 Gosse, Laurent
5 Grunert, Katrin
5 Guerra, Graziano
5 Hofmanová, Martina
5 LeFloch, Philippe Gerard
5 Marcellini, Francesca
5 Panov, Evgeniy Yu.
5 Ridder, Johanna
5 Ruf, Adrian M.
5 Sarkar, Tanmay
5 Schratz, Katharina
5 Shu, Chi-Wang
5 Sun, Meina
5 Svärd, Magnus
5 Tadmor, Eitan
5 Tian, Lixin
5 Vallet, Guy
5 Wang, Hong
4 Bayen, Alexandre M.
4 Bretti, Gabriella
4 Briani, Maya
4 Chandrashekar, Praveen
4 Cristiani, Emiliano
4 D’Apice, Ciro
4 Di Francesco, Marco
4 Einkemmer, Lukas
4 Flåtten, Tore
4 Ghoshal, Shyam Sundar
4 Gugat, Martin
4 Hu, Yanbo
4 Jerez, Silvia
4 Klar, Axel
4 Kröker, Ilja
4 Leugering, Günter
4 Li, Yachun
4 Liu, Jianguo
4 Liu, Yue
4 Mitrovic, Darko
4 Saad, Mazen
4 Schlachter, Louisa
4 Schleper, Veronika
...and 1,006 more Authors
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Cited in 188 Serials

54 Journal of Differential Equations
53 Journal of Computational Physics
30 Journal of Mathematical Analysis and Applications
30 Networks and Heterogeneous Media
28 Journal of Hyperbolic Differential Equations
27 Journal of Computational and Applied Mathematics
26 Applied Numerical Mathematics
24 Mathematics of Computation
24 Applied Mathematics and Computation
21 Numerische Mathematik
21 Journal of Scientific Computing
19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
18 SIAM Journal on Numerical Analysis
17 BIT
16 Archive for Rational Mechanics and Analysis
15 Computers & Mathematics with Applications
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Computational Geosciences
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Discrete and Continuous Dynamical Systems
11 SIAM Journal on Applied Mathematics
11 SIAM Journal on Scientific Computing
10 Journal of Engineering Mathematics
10 Communications in Partial Differential Equations
10 Nonlinear Analysis. Real World Applications
9 Computers and Fluids
9 Discrete and Continuous Dynamical Systems. Series S
8 Applied Mathematics Letters
8 SIAM Journal on Mathematical Analysis
7 Journal of Functional Analysis
7 Quarterly of Applied Mathematics
6 Computer Methods in Applied Mechanics and Engineering
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Numerical Methods for Partial Differential Equations
6 NoDEA. Nonlinear Differential Equations and Applications
6 Discrete and Continuous Dynamical Systems. Series B
5 Communications in Mathematical Physics
5 Journal of Mathematical Physics
5 Proceedings of the American Mathematical Society
5 Acta Applicandae Mathematicae
5 Communications in Computational Physics
5 Stochastic and Partial Differential Equations. Analysis and Computations
4 Applicable Analysis
4 International Journal for Numerical Methods in Engineering
4 Journal of Optimization Theory and Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Stochastic Processes and their Applications
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Evolution Equations
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Advances in Applied Mathematics and Mechanics
4 SIAM/ASA Journal on Uncertainty Quantification
3 International Journal for Numerical Methods in Fluids
3 Applied Mathematics and Optimization
3 SIAM Journal on Control and Optimization
3 Mathematical and Computer Modelling
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Portugaliae Mathematica. Nova Série
3 Acta Numerica
3 Advances in Difference Equations
3 Boundary Value Problems
3 Mathematical Control and Related Fields
2 Acta Mechanica
2 Advances in Applied Probability
2 Communications on Pure and Applied Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Inverse Problems
2 Journal of Fluid Mechanics
2 Mathematical Notes
2 Nonlinearity
2 Physica A
2 Automatica
2 Mathematics and Computers in Simulation
2 Monatshefte für Mathematik
2 Chinese Annals of Mathematics. Series B
2 Numerical Algorithms
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 Mathematical Problems in Engineering
2 Computing and Visualization in Science
2 Vietnam Journal of Mathematics
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 The ANZIAM Journal
2 Foundations of Computational Mathematics
2 Computational Methods in Applied Mathematics
2 Milan Journal of Mathematics
2 Multiscale Modeling & Simulation
2 Mathematical Biosciences and Engineering
2 Kinetic and Related Models
2 International Journal of Differential Equations
2 Science China. Mathematics
2 Minimax Theory and its Applications
2 SMAI Journal of Computational Mathematics
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Reviews in Mathematical Physics
...and 88 more Serials
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Cited in 37 Fields

679 Partial differential equations (35-XX)
419 Numerical analysis (65-XX)
254 Fluid mechanics (76-XX)
108 Operations research, mathematical programming (90-XX)
63 Probability theory and stochastic processes (60-XX)
43 Calculus of variations and optimal control; optimization (49-XX)
29 Systems theory; control (93-XX)
27 Mechanics of deformable solids (74-XX)
23 Ordinary differential equations (34-XX)
23 Statistical mechanics, structure of matter (82-XX)
21 Biology and other natural sciences (92-XX)
20 Dynamical systems and ergodic theory (37-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Operator theory (47-XX)
17 Geophysics (86-XX)
13 Integral equations (45-XX)
13 Optics, electromagnetic theory (78-XX)
8 Mechanics of particles and systems (70-XX)
6 Quantum theory (81-XX)
6 Astronomy and astrophysics (85-XX)
4 Functional analysis (46-XX)
4 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Real functions (26-XX)
3 Statistics (62-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Computer science (68-XX)

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