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2022
1 Fjordholm, Ulrik Skre; Musch, Markus; Risebro, Nils Henrik.
Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks. SIAM Journal on Numerical Analysis 2022 ;Volum 60.(2) s. 606-630
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2 Musch, Markus; Fjordholm, Ulrik Skre; Risebro, Nils Henrik.
Well-posedness theory for nonlinear scalar conservation laws on networks. Networks and Heterogeneous Media 2022 ;Volum 17.(1) s. 101-128
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2021
3 Badwaik, Jayeesh; Klingenberg, Christian; Risebro, Nils Henrik; Ruf, Adrian Montgomery.
Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux.. Mathematical Modelling and Numerical Analysis 2021 ;Volum 55.(3) s. 1039-1065
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4 Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik.
Singular diffusion with Neumann boundary conditions. Nonlinearity 2021 ;Volum 34.(3) s. 1633-1662
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5 Holden, Helge; Risebro, Nils Henrik.
Mathematical models of traffic flow. SIAM News 2021 ;Volum 54.(5)
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2020
6 Hoel, Håkon; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid.
Numerical methods for conservation laws with rough flux. Stochastics and Partial Differential Equations: Analysis and Computations 2020 ;Volum 8.(1) s. 186-261
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2019
7 Coclite, Giuseppe Maria; Chatterjee, Neelabja; Risebro, Nils Henrik.
Well-posedness of the Initial Value Problem for the Ostrovsky–Hunter Equation with Spatially Dependent Flux. Milan Journal of Mathematics 2019 ;Volum 87.(2) s. 283-301
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8 Coclite, Giuseppe Maria; Risebro, Nils Henrik.
A difference method for the McKean–Vlasov equation. Zeitschrift für Angewandte Mathematik und Physik 2019 ;Volum 70.(5) s. 1-24
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9 Holden, Helge; Risebro, Nils Henrik.
Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis 2019 ;Volum 51.(5) s. 3694-3713
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10 Risebro, Nils Henrik.
Three models for two phase flow in porous media. Vietnam Journal of Mathematics 2019 s. 1-15
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11 Risebro, Nils Henrik; Ruf, Adrian Montgomery.
Numerical investigations into a model of partially incompressible two-phase flow in pipes. SeMA Journal - Boletin de la Sociedad Española de Matemática Aplicada 2019 s. 1-17
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2018
12 Gesztesy, Fritz; Hanche-Olsen, Harald; Jakobsen, Espen Robstad; Lyubarskii, Yurii; Risebro, Nils Henrik; Seip, Kristian.
Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Publishing House 2018 (ISBN 978-3-03719-186-6) 486 s.
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13 Hoel, Håkon; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid.
Path-dependent convex conservation laws. Journal of Differential Equations 2018 ;Volum 265.(6) s. 2708-2744
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14 Holden, Helge; Risebro, Nils Henrik.
Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A 2018 ;Volum 38.(2) s. 715-722
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15 Holden, Helge; Risebro, Nils Henrik.
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks and Heterogeneous Media 2018 ;Volum 13.(3) s. 409-421
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2017
16 Coclite, Giuseppe Maria; Ridder, Johanna; Risebro, Nils Henrik.
A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain. BIT Numerical Mathematics 2017 ;Volum 57.(1) s. 93-122
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17 Coclite, Giuseppe Maria; Ridder, Johanna; Risebro, Nils Henrik.
A Convergent Finite Difference Scheme for the Variational Heat Equation. Zeitschrift für Angewandte Mathematik und Physik 2017 ;Volum 68.(6)
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18 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid.
Practical Convergence Rates for Degenerate Parabolic Equations. I: Innovative Algorithms and Analysis. Springer 2017 ISBN 978-3-319-49261-2. s. 243-263
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19 Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska Leonie.
A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations. Journal of Hyperbolic Differential Equations 2017 ;Volum 14.(3) s. 415-454
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20 Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska.
Correction to: Multilevel Monte Carlo front-tracking for random scalar conservation laws (BIT Numerical Mathematics, (2016), 56, 1, (263-292), 10.1007/s10543-015-0550-4). BIT Numerical Mathematics 2017 ;Volum 58.(1) s. 247-255
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2016
21 Coclite, Giuseppe Maria; Reichmann, Oleg; Risebro, Nils Henrik.
A convergent difference scheme for a class of partial integro-differential equations modeling pricing under uncertainty. SIAM Journal on Numerical Analysis 2016 ;Volum 54.(2) s. 588-605
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22 Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik.
Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik 2016 ;Volum 134.(2) s. 249-274
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23 Dutta, Rajib; Risebro, Nils Henrik.
A note on the convergence of a crank-nicolson scheme for the KDV equation. International Journal of Numerical Analysis & Modeling 2016 ;Volum 13.(5) s. 657-675
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24 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid.
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Mathematical Modelling and Numerical Analysis 2016 ;Volum 50.(2) s. 499-539
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25 Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana.
Numerical solution of scalar conservation laws with random flux functions. SIAM/ASA Journal on Uncertainty Quantification (JUQ) 2016 ;Volum 4.(1) s. 552-591
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26 Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska Leonie.
Multilevel Monte Carlo front-tracking for random scalar conservation laws. BIT Numerical Mathematics 2016 ;Volum 56.(1) s. 263-292
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2015
27 Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik.
Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations 2015 ;Volum 259.(11) s. 6694-6717
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28 Dutta, Rajib; Koley, Ujjwal; Risebro, Nils Henrik.
Convergence of a higher order scheme for the korteweg-de vries equation. SIAM Journal on Numerical Analysis 2015 ;Volum 53.(4) s. 1963-1983
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29 Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik.
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. IMA Journal of Numerical Analysis 2015 ;Volum 35.(3) s. 1047-1077
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30 Holden, Helge; Risebro, Nils Henrik.
Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V. 2015 (ISBN 978-3-662-47506-5) ;Volum 152.515 s. Applied mathematical sciences(152)
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2014
31 Agrell, Christian; Risebro, Nils Henrik.
Convergence of a relaxation scheme for a 2 × 2 triangular system of conservation laws. International Journal of Numerical Analysis & Modeling 2014 ;Volum 11.(1) s. 148-171
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32 Coclite, Giuseppe Maria; Mishra, Siddhartha; Risebro, Nils Henrik; Weber, Franziska Leonie.
Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Computational Geosciences 2014 ;Volum 18.(5) s. 637-659
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33 Fuchs, Franz Georg; McMurry, Andrew David; Risebro, Nils Henrik; Mishra, Siddhartha.
Explicit and implicit finite volume schemes for radiation MHD and the effects of radiation on wave propagation in stratified atmospheres. I: Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Fourteenth International Conference on Hyperbolic Problems held in Padova, June 25-29, 2012. American Institute of Mathematical Sciences 2014 ISBN 978-1-60133-017-8. s. 41-59
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34 Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik.
On an inverse problem for scalar conservation laws. Inverse Problems 2014 ;Volum 30.(3)
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35 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid.
L1 error estimates for difference approximations of degenerate convection-diffusion equations. Mathematics of Computation 2014 ;Volum 83.(290) s. 2717-2762
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2013
36 Frid, Hermano; Risebro, Nils Henrik; Sande, Hilde.
SPATIALLY PERIODIC SOLUTIONS FOR GAS FLOWS WITH PRESSURE DEPENDING ON A VARIABLE COEFFICIENT. Journal of Hyperbolic Differential Equations 2013 ;Volum 10.(1) s. 129-148
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37 Holden, Helge; Lubich, Christian; Risebro, Nils Henrik.
Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation 2013 ;Volum 82. s. 173-185
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38 Koley, Ujjwal; Risebro, Nils Henrik.
Finite difference schemes for the symmetric Keyfitz-Kranzer system. Zeitschrift für Angewandte Mathematik und Physik 2013 ;Volum 64.(4) s. 1057-1085
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39 Risebro, Nils Henrik; Weber, Franziska Leonie.
A note on front tracking for the Keyfitz-Kranzer system. Journal of Mathematical Analysis and Applications 2013 ;Volum 407.(2) s. 190-199
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2012
40 Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik.
A HYPERBOLIC-ELLIPTIC MODEL OF TWO-PHASE FLOW IN POROUS MEDIA EXISTENCE OF ENTROPY SOLUTIONS. International Journal of Numerical Analysis & Modeling 2012 ;Volum 9.(3) s. 562-583
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41 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Koley, Ujjwal.
An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Numerische Mathematik 2012 ;Volum 121.(2) s. 367-395
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42 Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus.
Higher-order finite difference schemes for the magnetic induction equations with resistivity. IMA Journal of Numerical Analysis 2012 ;Volum 32.(3) s. 1173-1193
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2011
43 Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik.
A Theory of L (1)-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux. Archive for Rational Mechanics and Analysis 2011 ;Volum 201.(1) s. 27-86
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44 Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut.
Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations. Communications in Computational Physics 2011 ;Volum 9.(2) s. 324-362
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45 Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Tao, T.
OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation 2011 ;Volum 80.(274) s. 821-846
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46 Holden, Helge; Risebro, Nils Henrik.
Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V. 2011 (ISBN 9783642239106) 361 s.
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2010
47 Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik.
ON VANISHING VISCOSITY APPROXIMATION OF CONSERVATION LAWS WITH DISCONTINUOUS FLUX. Networks and Heterogeneous Media 2010 ;Volum 5.(3) s. 617-633
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48 Coclite, Giuseppe Maria; Mishra, Siddhartha; Risebro, Nils Henrik.
CONVERGENCE OF AN ENGQUIST-OSHER SCHEME FOR A MULTI-DIMENSIONAL TRIANGULAR SYSTEM OF CONSERVATION LAWS. Mathematics of Computation 2010 ;Volum 79.(269) s. 71-94
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49 Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut.
Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres. Communications in Computational Physics 2010 ;Volum 7.(3) s. 403-638
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50 Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut.
High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Journal of Computational Physics 2010 ;Volum 229.(11) s. 4033-4058
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