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2019
1 Bendahmane, M.; Karlsen, Kenneth Hvistendahl.
Stochastically forced cardiac bidomain model. Stochastic Processes and their Applications 2019
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2 Grandelius, Erik; Karlsen, Kenneth Hvistendahl.
The cardiac bidomain model and homogenization. Networks and Heterogeneous Media 2019 ;Volume 14.(1) p. 173-204
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2018
3 Coclite, Giuseppe Maria; di Ruvo, Lorenzo; Karlsen, Kenneth Hvistendahl.
The initial-boundary-value problem for an Ostrovsky-Hunter type equation. I: Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society Publishing House 2018 ISBN 978-3-03719-186-6. p. 97-109
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4 Hoel, Håkon; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid.
Path-dependent convex conservation laws. Journal of Differential Equations 2018 ;Volume 265.(6) p. 2708-2744
UiO Untitled
 
2017
5 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. p. 243-263
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6 Karlsen, Kenneth Hvistendahl; Storrøsten, Erlend Briseid.
Analysis of a splitting method for stochastic balance laws. IMA Journal of Numerical Analysis 2017 ;Volume 38.(1) p. 1-56
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7 Karlsen, Kenneth Hvistendahl; Storrøsten, Erlend Briseid.
On stochastic conservation laws and Malliavin calculus. Journal of Functional Analysis 2017 ;Volume 272.(2) p. 421-497
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8 Karlsen, Kenneth Hvistendahl; Towers, J. D..
Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions. Advances in Applied Mathematics and Mechanics 2017 ;Volume 9.(3) p. 515-542
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9 Karlsen, Kenneth Hvistendahl; Towers, John D..
Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Journal of Hyperbolic Differential Equations 2017 ;Volume 14.(4) p. 671-701
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2016
10 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 ;Volume 50.(2) p. 499-539
UiO Untitled
 
11 Karlsen, Kenneth Hvistendahl; Ulusoy, Suleyman.
On a hyperbolic keller-segel system with degenerate nonlinear fractional diffusion. Networks and Heterogeneous Media 2016 ;Volume 11.(1) p. 181-201
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2015
12 Biswas, Imran Habib; Karlsen, Kenneth Hvistendahl; Majee, Ananta K..
Conservation laws driven by Lévy white noise. Journal of Hyperbolic Differential Equations 2015 ;Volume 12.(3) p. 581-654
UiO Untitled
 
13 Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl.
A note on the Camassa-Holm equation. Journal of Differential Equations 2015 ;Volume 259.(6) p. 2158-2166
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14 Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl.
Periodic solutions of the Degasperis-Procesi equation: Well-posedness and asymptotics. Journal of Functional Analysis 2015 ;Volume 268.(5) p. 1053-1077
UiO Untitled
 
2014
15 Chen, Gui-Qiang; Holden, Helge; Karlsen, Kenneth Hvistendahl.
Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V. 2014 (ISBN 978-3-642-39006-7) 384 p. Springer Proceedings in Mathematics & statistics(49)
NTNU UiO Untitled
 
16 Coclite, Giuseppe Maria; di Ruvo, L; Karlsen, Kenneth Hvistendahl.
Some wellposedness results for the Ostrovsky-Hunter equation. Springer Proceedings in Mathematics & statistics 2014 ;Volume 49. p. 143-159
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17 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid.
L1 error estimates for difference approximations of degenerate convection-diffusion equations. Mathematics of Computation 2014 ;Volume 83.(290) p. 2717-2762
UiO Untitled
 
18 Kissling, Frederike; Karlsen, Kenneth Hvistendahl.
On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure. Zeitschrift für angewandte Mathematik und Mechanik 2014 ;Volume 94.(7-8) p. 678-689
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2013
19 Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl; Saad, Mazen.
Nonlinear anisotropic elliptic and parabolic equations with variable exponents and L/1 data. Communications on Pure and Applied Analysis 2013 ;Volume 12.(3) p. 1201-1220
UiO Untitled
 
20 Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning.
Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation 2013 ;Volume 82.(282) p. 719-748
NTNU UiO Untitled
 
21 Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning.
OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis 2013 ;Volume 45.(1) p. 152-180
NTNU UiO Untitled
 
2012
22 Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl.
A note on entropy solutions for degenerate parabolic equations with L^1\cap L^p data. International Journal of Dynamical Systems and Differential Equations 2012 ;Volume 4. p. 78-92
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23 Berre, Inga; Dahle, Helge K.; Karlsen, Kenneth Hvistendahl; Nordbotten, Jan Martin; Tai, Xue-Cheng; Winther, Ragnar.
Magne Espedal Memorial Issue. International Journal of Numerical Analysis & Modeling 2012 ;Volume 9.(3) p. I-II
UiB UiO Untitled
 
24 Chen, Gui-Qiang; Ding, Qian; Karlsen, Kenneth Hvistendahl.
On Nonlinear Stochastic Balance Laws. Archive for Rational Mechanics and Analysis 2012 ;Volume 204.(3) p. 707-743
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25 Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl.
On an initial-boundary value problem for the hyperelastic rod wave equation. Advances in Differential Equations 2012 ;Volume 17.(1-2) p. 37-74
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26 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 ;Volume 9.(3) p. 562-583
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27 Evje, Steinar; Karlsen, Kenneth Hvistendahl.
ANALYSIS OF A COMPRESSIBLE GAS-LIQUID MODEL MOTIVATED BY OIL WELL CONTROL OPERATIONS. Acta Mathematica Scientia 2012 ;Volume 32.(1) p. 295-314
UiO UIS Untitled
 
28 Holden, Helge; Karlsen, Kenneth Hvistendahl.
Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V. 2012 (ISBN 978-3-642-25360-7) 360 p. Abel Symposia(7)
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29 Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning.
A convergent mixed method for the Stokes approximation of viscous compressible flow. IMA Journal of Numerical Analysis 2012 ;Volume 32.(3) p. 725-764
NTNU UiO Untitled
 
30 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Koley, Ujjwal.
An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Numerische Mathematik 2012 ;Volume 121.(2) p. 367-395
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2011
31 Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl; Pierre, Charles.
CONVERGENCE OF DISCRETE DUALITY FINITE VOLUME SCHEMES FOR THE CARDIAC BIDOMAIN MODEL. Networks and Heterogeneous Media 2011 ;Volume 6.(2) p. 195-240
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32 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 ;Volume 201.(1) p. 27-86
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33 Betancourt, F.; Bürger, R.; Karlsen, Kenneth Hvistendahl.
A STRONGLY DEGENERATE PARABOLIC AGGREGATION EQUATION. Communications in Mathematical Sciences 2011 ;Volume 9.(3) p. 711-742
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34 Betancourt, F.; Bürger, R.; Karlsen, Kenneth Hvistendahl; Tory, E.M..
On nonlocal conservation laws modelling sedimentation. Nonlinearity 2011 ;Volume 24.(3) p. 855-885
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35 Cifani, Simone; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl.
The discontinuous Galerkin method for fractal conservation laws. IMA Journal of Numerical Analysis 2011 ;Volume 31.(3) p. 1090-1122
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36 Cifani, Simone; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl.
The discontinuous Galerkin method for fractional degenerate convection-diffusion equations. BIT Numerical Mathematics 2011 ;Volume 51.(4) p. 809-844
NTNU UiO Untitled
 
37 Frid, Hermano; Holden, Helge; Karlsen, Kenneth Hvistendahl.
L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis 2011 ;Volume 43.(5) p. 2253-2274
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38 Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Tao, T.
OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation 2011 ;Volume 80.(274) p. 821-846
NTNU UiO Untitled
 
39 Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning.
CONVERGENCE OF A MIXED METHOD FOR A SEMI-STATIONARY COMPRESSIBLE STOKES SYSTEM. Mathematics of Computation 2011 ;Volume 80.(275) p. 1459-1498
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40 Karlsen, Kenneth Hvistendahl; Petitta, Francesco; Ulusoy, Suleyman.
A duality approach to the fractional Laplacian with measure data. Publicacions matemàtiques 2011 ;Volume 55.(1) p. 151-161
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41 Karlsen, Kenneth Hvistendahl; Ulusoy, Suleyman.
Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations. Electronic Journal of Differential Equations 2011 ;Volume 116. p. 1-23
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2010
42 Biswas, IH; Jakobsen, Espen Robstad; Karlsen, KH.
Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes. Applied mathematics and optimization 2010 ;Volume 62.(1) p. 47-80
NTNU UiO Untitled
 
43 Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl.
DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS. Journal of Hyperbolic Differential Equations 2010 ;Volume 7.(1) p. 1-67
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44 Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik.
ON VANISHING VISCOSITY APPROXIMATION OF CONSERVATION LAWS WITH DISCONTINUOUS FLUX. Networks and Heterogeneous Media 2010 ;Volume 5.(3) p. 617-633
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45 Biswas, Imran Habib; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl.
DIFFERENCE-QUADRATURE SCHEMES FOR NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDE. SIAM Journal on Numerical Analysis 2010 ;Volume 48.(3) p. 1110-1135
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46 Bürger, Raimond; Karlsen, Kenneth Hvistendahl; Towers, John D..
ON SOME DIFFERENCE SCHEMES AND ENTROPY CONDITIONS FOR A CLASS OF MULTI-SPECIES KINEMATIC FLOW MODELS WITH DISCONTINUOUS FLUX. Networks and Heterogeneous Media 2010 ;Volume 5.(3) p. 461-485
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47 Bürger, Raimund; Karlsen, Kenneth Hvistendahl; Torres, Héctor; Towers, John D..
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Numerische Mathematik 2010 ;Volume 116.(4) p. 579-617
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48 Guan, C.; Karlsen, Kenneth Hvistendahl; Yin, Z..
Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation. I: Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS) 2010 ISBN 978-0-8218-4976-7. p. 199-220
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49 Holden, Helge; Karlsen, Kenneth Hvistendahl.
Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS) 2010 (ISBN 978-0-8218-4976-7) 389 p. Contemporary Mathematics(526)
NTNU UiO Untitled
 
50 Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik.
Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society Publishing House 2010 (ISBN 978-3-03719-078-4) 226 p.
NTNU SINTEF UiO Untitled
 
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