Kenneth Hvistendahl Karlsen

Bilde av Kenneth Hvistendahl Karlsen
English version of this page
Telefon +47-22855948
Rom 907
Brukernavn
Besøksadresse Ullevål stadion Sognsveien 77 B 0855 OSLO
Postadresse Postboks 1053 Blindern 0316 OSLO

Research interests

Research interests include mathematical and numerical analysis of nonlinear partial differential equations, including applications in fluid mechanics, stochastic control, finance, and biology.


Editorial boards

SIAM Journal on Numerical Analysis

Journal of Hyperbolic Differential Equations

Networks and Heterogeneous Media

AIMS Book Series: On Applied Mathematics

Advances in Applied Mathematics and Mechanics

Emneord: Matematikk, Partielle differensiallikninger, Centre of Mathematics for Applications - CMA

Publikasjoner

  • Karlsen, Kenneth Hvistendahl & Storrøsten, Erlend Briseid (2017). On stochastic conservation laws and Malliavin calculus. Journal of Functional Analysis.  ISSN 0022-1236.  272(2), s 421- 497 . doi: 10.1016/j.jfa.2016.09.020 Fulltekst i vitenarkiv.
  • Karlsen, Kenneth Hvistendahl & Towers, J. D. (2017). Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions. Advances in Applied Mathematics and Mechanics.  ISSN 2070-0733.  9(3), s 515- 542 . doi: 10.4208/aamm.2016.m-s1 Fulltekst i vitenarkiv.
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Storrøsten, Erlend Briseid (2016). On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Mathematical Modelling and Numerical Analysis.  ISSN 0764-583X.  50(2), s 499- 539 . doi: 10.1051/m2an/2015057
  • Karlsen, Kenneth Hvistendahl & Ulusoy, Suleyman (2016). On a hyperbolic keller-segel system with degenerate nonlinear fractional diffusion. Networks and Heterogeneous Media.  ISSN 1556-1801.  11(1), s 181- 201 . doi: 10.3934/nhm.2016.11.181
  • Biswas, Imran Habib; Karlsen, Kenneth Hvistendahl & Majee, Ananta K. (2015). Conservation laws driven by Lévy white noise. Journal of Hyperbolic Differential Equations.  ISSN 0219-8916.  12(3), s 581- 654 . doi: 10.1142/S0219891615500174
  • Coclite, Giuseppe Maria & Karlsen, Kenneth Hvistendahl (2015). A note on the Camassa-Holm equation. Journal of Differential Equations.  ISSN 0022-0396.  259(6), s 2158- 2166 . doi: 10.1016/j.jde.2015.03.020
  • Coclite, Giuseppe Maria & Karlsen, Kenneth Hvistendahl (2015). Periodic solutions of the Degasperis-Procesi equation: Well-posedness and asymptotics. Journal of Functional Analysis.  ISSN 0022-1236.  268(5), s 1053- 1077 . doi: 10.1016/j.jfa.2014.11.008
  • Coclite, Giuseppe Maria; di Ruvo, L & Karlsen, Kenneth Hvistendahl (2014). Some wellposedness results for the Ostrovsky-Hunter equation. Springer Proceedings in Mathematics & statistics.  ISSN 2194-1009.  49, s 143- 159 . doi: 10.1007/978-3-642-39007-4_7
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Storrøsten, Erlend Briseid (2014). L1 error estimates for difference approximations of degenerate convection-diffusion equations. Mathematics of Computation.  ISSN 0025-5718.  83(290), s 2717- 2762 . doi: 10.1090/S0025-5718-2014-02818-4
  • Kissling, Frederike & Karlsen, Kenneth Hvistendahl (2014). On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure. Zeitschrift für angewandte Mathematik und Mechanik.  ISSN 0044-2267.  94(7-8), s 678- 689 . doi: 10.1002/zamm.201200141
  • Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl & Saad, Mazen (2013). Nonlinear anisotropic elliptic and parabolic equations with variable exponents and L/1 data. Communications on Pure and Applied Analysis.  ISSN 1534-0392.  12(3), s 1201- 1220 . doi: 10.3934/cpaa.2013.12.1201
  • Holden, Helge; Karlsen, Kenneth Hvistendahl & Karper, Trygve Klovning (2013). OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis.  ISSN 0036-1410.  45(1), s 152- 180 . doi: 10.1137/120864337
  • Holden, Helge; Karlsen, Kenneth Hvistendahl & Karper, Trygve Klovning (2013). Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation.  ISSN 0025-5718.  82(282), s 719- 748
  • Bendahmane, Mostafa & Karlsen, Kenneth Hvistendahl (2012). A note on entropy solutions for degenerate parabolic equations with L^1\cap L^p data. International Journal of Dynamical Systems and Differential Equations.  ISSN 1752-3583.  4, s 78- 92
  • Chen, Gui-Qiang; Ding, Qian & Karlsen, Kenneth Hvistendahl (2012). On Nonlinear Stochastic Balance Laws. Archive for Rational Mechanics and Analysis.  ISSN 0003-9527.  204(3), s 707- 743 . doi: 10.1007/s00205-011-0489-9
  • Coclite, Giuseppe Maria & Karlsen, Kenneth Hvistendahl (2012). On an initial-boundary value problem for the hyperelastic rod wave equation. Advances in Differential Equations.  ISSN 1079-9389.  17(1-2), s 37- 74
  • Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2012). A HYPERBOLIC-ELLIPTIC MODEL OF TWO-PHASE FLOW IN POROUS MEDIA EXISTENCE OF ENTROPY SOLUTIONS. International Journal of Numerical Analysis & Modeling.  ISSN 1705-5105.  9(3), s 562- 583
  • Evje, Steinar & Karlsen, Kenneth Hvistendahl (2012). ANALYSIS OF A COMPRESSIBLE GAS-LIQUID MODEL MOTIVATED BY OIL WELL CONTROL OPERATIONS. Acta Mathematica Scientia.  ISSN 0252-9602.  32(1), s 295- 314
  • Karlsen, Kenneth Hvistendahl & Karper, Trygve Klovning (2012). A convergent mixed method for the Stokes approximation of viscous compressible flow. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  32(3), s 725- 764 . doi: 10.1093/imanum/drq048
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Koley, Ujjwal (2012). An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Numerische Mathematik.  ISSN 0029-599X.  121(2), s 367- 395 . doi: 10.1007/s00211-011-0433-9
  • Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl & Pierre, Charles (2011). CONVERGENCE OF DISCRETE DUALITY FINITE VOLUME SCHEMES FOR THE CARDIAC BIDOMAIN MODEL. Networks and Heterogeneous Media.  ISSN 1556-1801.  6(2), s 195- 240 . doi: 10.3934/nhm.2011.6.195
  • Andreianov, Boris; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2011). A Theory of L (1)-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux. Archive for Rational Mechanics and Analysis.  ISSN 0003-9527.  201(1), s 27- 86 . doi: 10.1007/s00205-010-0389-4
  • Betancourt, F.; Bürger, R. & Karlsen, Kenneth Hvistendahl (2011). A STRONGLY DEGENERATE PARABOLIC AGGREGATION EQUATION. Communications in Mathematical Sciences.  ISSN 1539-6746.  9(3), s 711- 742
  • Betancourt, F.; Bürger, R.; Karlsen, Kenneth Hvistendahl & Tory, E.M. (2011). On nonlocal conservation laws modelling sedimentation. Nonlinearity.  ISSN 0951-7715.  24(3), s 855- 885 . doi: 10.1088/0951-7715/24/3/008
  • Cifani, Simone; Jakobsen, Espen Robstad & Karlsen, Kenneth Hvistendahl (2011). The discontinuous Galerkin method for fractal conservation laws. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  31(3), s 1090- 1122 . doi: 10.1093/imanum/drq006
  • Cifani, Simone; Jakobsen, Espen Robstad & Karlsen, Kenneth Hvistendahl (2011). The discontinuous Galerkin method for fractional degenerate convection-diffusion equations. BIT Numerical Mathematics.  ISSN 0006-3835.  51(4), s 809- 844 . doi: 10.1007/s10543-011-0327-3
  • Frid, Hermano; Holden, Helge & Karlsen, Kenneth Hvistendahl (2011). L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis.  ISSN 0036-1410.  43(5), s 2253- 2274 . doi: 10.1137/110824218
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Tao, T (2011). OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation.  ISSN 0025-5718.  80(274), s 821- 846 . doi: 10.1090/S0025-5718-2010-02402-0
  • Karlsen, Kenneth Hvistendahl & Karper, Trygve Klovning (2011). CONVERGENCE OF A MIXED METHOD FOR A SEMI-STATIONARY COMPRESSIBLE STOKES SYSTEM. Mathematics of Computation.  ISSN 0025-5718.  80(275), s 1459- 1498
  • Karlsen, Kenneth Hvistendahl; Petitta, Francesco & Ulusoy, Suleyman (2011). A duality approach to the fractional Laplacian with measure data. Publicacions matemàtiques.  ISSN 0214-1493.  55(1), s 151- 161
  • Karlsen, Kenneth Hvistendahl & Ulusoy, Suleyman (2011). Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations. Electronic Journal of Differential Equations.  ISSN 1072-6691.  116, s 1- 23
  • Biswas, IH; Jakobsen, Espen Robstad & Karlsen, KH (2010). Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes. Applied mathematics and optimization.  ISSN 0095-4616.  62(1), s 47- 80 . doi: 10.1007/s00245-009-9095-8
  • Andreianov, Boris; Bendahmane, Mostafa & Karlsen, Kenneth Hvistendahl (2010). DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS. Journal of Hyperbolic Differential Equations.  ISSN 0219-8916.  7(1), s 1- 67 . doi: 10.1142/S0219891610002062
  • Andreianov, Boris; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2010). ON VANISHING VISCOSITY APPROXIMATION OF CONSERVATION LAWS WITH DISCONTINUOUS FLUX. Networks and Heterogeneous Media.  ISSN 1556-1801.  5(3), s 617- 633 . doi: 10.3934/nhm.2010.5.617
  • Biswas, Imran Habib; Jakobsen, Espen Robstad & Karlsen, Kenneth Hvistendahl (2010). DIFFERENCE-QUADRATURE SCHEMES FOR NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDE. SIAM Journal on Numerical Analysis.  ISSN 0036-1429.  48(3), s 1110- 1135 . doi: 10.1137/090761501
  • Bürger, Raimond; Karlsen, Kenneth Hvistendahl & Towers, John D. (2010). ON SOME DIFFERENCE SCHEMES AND ENTROPY CONDITIONS FOR A CLASS OF MULTI-SPECIES KINEMATIC FLOW MODELS WITH DISCONTINUOUS FLUX. Networks and Heterogeneous Media.  ISSN 1556-1801.  5(3), s 461- 485 . doi: 10.3934/nhm.2010.5.461
  • Bürger, Raimund; Karlsen, Kenneth Hvistendahl; Torres, Héctor & Towers, John D. (2010). Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Numerische Mathematik.  ISSN 0029-599X.  116(4), s 579- 617 . doi: 10.1007/s00211-010-0325-4
  • Guan, C.; Karlsen, Kenneth Hvistendahl & Yin, Z. (2010). Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation, In Helge Holden & Kenneth Hvistendahl Karlsen (ed.),  Nonlinear partial differential equations and hyperbolic wave phenomena.  American Mathematical Society (AMS).  ISBN 978-0-8218-4976-7.  Chap.  s 199 - 220
  • Karlsen, Kenneth Hvistendahl & Karper, Trygve Klovning (2010). A CONVERGENT NONCONFORMING FINITE ELEMENT METHOD FOR COMPRESSIBLE STOKES FLOW. SIAM Journal on Numerical Analysis.  ISSN 0036-1429.  48(5), s 1846- 1876 . doi: 10.1137/09076310X
  • Coclite, GM; Karlsen, Kenneth Hvistendahl & Kwon, YS (2009). Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation. Journal of Functional Analysis.  ISSN 0022-1236.  257(12), s 3823- 3857 . doi: 10.1016/j.jfa.2009.09.022
  • Karlsen, Kenneth Hvistendahl & Wallin, Olli (2009). A semilinear equation for the American option in a general jump market. Interfaces and free boundaries (Print).  ISSN 1463-9963.  11(4), s 475- 501
  • Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl & Ouaro, Stanislas (2009). Well-posedness results for triply nonlinear degenerate parabolic equations. Journal of Differential Equations.  ISSN 0022-0396.  247(1), s 277- 302 . doi: 10.1016/j.jde.2009.03.001
  • Bendahmane, Mostafa & Karlsen, Kenneth Hvistendahl (2009). Convergence of a finite volume scheme for the bidomain model of cardiac tissue. Applied Numerical Mathematics.  ISSN 0168-9274.  59(9), s 2266- 2284 . doi: 10.1016/j.apnum.2008.12.016
  • Burger, R; Karlsen, Kenneth Hvistendahl & Towers, J. D. (2009). A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions, In Eitan Tadmor; Jian-Guo Liu & Athanasios E. Tzavaras (ed.),  Hyperbolic Problems: Theory, Numerics and Applications.  American Mathematical Society (AMS).  ISBN 978-0-8218-4728-2.  Kapitel.  s 455 - 464
  • Burger, Raimund; Karlsen, Kenneth Hvistendahl & Towers, John D. (2009). An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. SIAM Journal on Numerical Analysis.  ISSN 0036-1429.  47(3), s 1684- 1712
  • Evje, Steinar & Karlsen, Kenneth Hvistendahl (2009). GLOBAL WEAK SOLUTIONS FOR A VISCOUS LIQUID-GAS MODEL WITH SINGULAR PRESSURE LAW. Communications on Pure and Applied Analysis.  ISSN 1534-0392.  8(6), s 1867- 1894 . doi: 10.3934/cpaa.2009.8.1867
  • Evje, Steinar & Karlsen, Kenneth Hvistendahl (2009). Global Weak Solutions for a Viscous Liquid-Gas Model with Singular Pressure Law. Communications on Pure and Applied Analysis.  ISSN 1534-0392.  8(6), s 1867- 1894
  • Holden, Helge; Coclite, Giuseppe Maria & Karlsen, Kenneth Hvistendahl (2009). Well-posedness of higher-order Camassa-Holm equations. Journal of Differential Equations.  ISSN 0022-0396.  246(3), s 929- 963 . doi: 10.1016/j.jde.2008.04.014
  • Holden, Helge; Karlsen, Kenneth Hvistendahl & Mitrovic, D (2009). Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function. International Journal of Differential Equations.  ISSN 1687-9643.
  • Holden, Helge; Karlsen, Kenneth Hvistendahl & Mitrovic, Darko (2009). Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. International Journal of Differential Equations.  ISSN 1687-9643.  2009 . doi: 10.1155/2009/279818
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko & Panov, Evgueni Yu (2009). Strong compactness of approximated solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Acta Mathematica Scientia.  ISSN 0252-9602.  29(6), s 1573- 1612
  • Holden, Helge; Karlsen, KH & Risebro, N.H. (2009). A convergent finite-difference method for a nonlinear variational wave equation. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  29(3), s 539- 572 . doi: 10.1093/imanum/drn026
  • Karlsen, Kenneth Hvistendahl; Fuchs, Franz Georg; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Stable upwind schemes for the magnetic induction equation. Mathematical Modelling and Numerical Analysis.  ISSN 0764-583X.  43(5), s 825- 852 . doi: 10.1051/m2an/2009006
  • Karlsen, Kenneth Hvistendahl & Karper, Trygve Klovning (2009). Convergent finite element methods for compressible barotropic Stokes systems, In Eitan Tadmor; Jian-Guo Liu & Athanasios E. Tzavaras (ed.),  Hyperbolic Problems: Theory, Numerics and Applications.  American Mathematical Society (AMS).  ISBN 978-0-8218-4728-2.  Kapitel.  s 705 - 714
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Convergence of finite volume schemes for triangular systems of conservation laws. Numerische Mathematik.  ISSN 0029-599X.  111(4), s 559- 589 . doi: 10.1007/s00211-008-0199-x
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Semi-Godunov schemes for multiphase flows in porous media. Applied Numerical Mathematics.  ISSN 0168-9274.  59(9), s 2322- 2336 . doi: 10.1016/j.apnum.2008.12.019 Vis sammendrag
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). WELL-BALANCED SCHEMES FOR CONSERVATION LAWS WITH SOURCE TERMS BASED ON A LOCAL DISCONTINUOUS FLUX FORMULATION. Mathematics of Computation.  ISSN 0025-5718.  78(265), s 55- 78
  • Nilssen, Trygve Kastberg; Karlsen, Kenneth Hvistendahl; Mannseth, Trond & Tai, Xue-Cheng (2009). Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method. Computational Geosciences.  ISSN 1420-0597.  13(3), s 317- 329 . doi: 10.1007/s10596-008-9120-z Vis sammendrag
  • Nilssen, Trygve Kastberg; Karlsen, Kenneth Hvistendahl; Mannseth, T. & Tai, XC (2009). Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method. Computational Geosciences.  ISSN 1420-0597.  13(3), s 317- 329 Vis sammendrag
  • Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl & Coclite, Giuseppe Maria (2009). Convergence of vanishing viscos- ity approximations of 2x2 triangular systems of multi-dimensional conservation laws. Bollettino dell'Unione Matematica Italiana, Sezione B..  ISSN 0392-4041.  9(2), s 275- 284
  • Wallin, Olli & Karlsen, Kenneth Hvistendahl (2009). A semilinear equation for the American option in a general jump market. Interfaces and free boundaries (Print).  ISSN 1463-9963.  11, s 475- 501
  • Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria & Holden, Helge (2008). Global weak solutions for a shallow water equation, In Sylvie Benzoni-Gavage & Denis Serre (ed.),  Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Supérieure, Lyon, July 17-21, 2006.  Springer.  ISBN 978-3-540-75711-5.  Kapittel.  s 389 - 396
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Coclite, Giuseppe Maria (2008). A convergent finite difference scheme for the Camassa-Holm equation with general H^1 initial data. SIAM Journal on Numerical Analysis.  ISSN 0036-1429.  46, s 1554- 1579
  • Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl & Coclite, Giuseppe Maria (2008). An explicit finite difference scheme for the Camassa-Holm equation. Advances in Difference Equations.  ISSN 1687-1839.  13(7-8), s 681- 732
  • Biswas, Imran Habib; Jakobsen, Espen Robstad & Karlsen, Kenneth h. (2008). Error estimates for a class of finite difference-quadrature schemes for fully nonlinear degenerate parabolic integro-PDEs. Journal of Hyperbolic Differential Equations.  ISSN 0219-8916.  5
  • Biswas, Imran Habib; Jakobsen, Espen Robstad; La Chioma, C & Karlsen, Kenneth h. (2008). Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. Numerische Mathematik.  ISSN 0029-599X.  110, s 221- 255 . doi: 10.1007/s00211-008-0160-z
  • Burger, R; Garcia, A; Karlsen, Kenneth Hvistendahl & Towers, JD (2008). A family of numerical schemes for kinematic flows with discontinuous flux. Journal of Engineering Mathematics.  ISSN 0022-0833.  60, s 387- 425 . doi: 10.1007/s10665-007-9148-4
  • Burger, R; Garcia, A; Karlsen, Kenneth Hvistendahl & Towers, JD (2008). A kinematic model of continuous separation and classification of polydisperse suspensions. Computers and Chemical Engineering.  ISSN 0098-1354.  32, s 1173- 1194 . doi: 10.1016/j.compchemeng.2007.04.019
  • Burger, R; Garcia, A; Karlsen, Kenneth Hvistendahl & Towers, JD (2008). Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Networks and Heterogeneous Media.  ISSN 1556-1801.  3
  • Bürger, Raimond & Karlsen, Kenneth Hvistendahl (2008). Conservation laws with discontinuous flux: a short introduction. Journal of Engineering Mathematics.  ISSN 0022-0833.  60 . doi: 10.1007/s10665-008-9213-7
  • Coclite, GM; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2008). Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  28 . doi: 10.1093/imanum/drm003
  • Evje, S & Karlsen, Kenneth Hvistendahl (2008). Global existence of weak solutions for a viscous two-phase model. Journal of Differential Equations.  ISSN 0022-0396.  245(9), s 2660- 2703 . doi: 10.1016/j.jde.2007.10.032
  • Holden, Helge; Karlsen, Kenneth Hvistendahl & Coclite, Giuseppe Maria (2008). Global weak solutions for a shallow water equation, In Sylvie Benzoni-Gavage & Denis Serre (ed.),  Hyperbolic Problems: Theory, Numerics, Applications.  Springer.  ISBN 9783540757115.  kapittel.  s 389 - 396
  • Karlsen, Kenneth Hvistendahl & Evje, Steinar (2008). A hyperbolic-elliptic model for coupled well-porous media flow, In Sylvie Benzoni-Gavage & Denis Serre (ed.),  Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Supérieure, Lyon, July 17-21, 2006.  Springer.  ISBN 978-3-540-75711-5.  Kapittel.  s 493 - 501
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2008). A large-time-stepping scheme for balance equations. Journal of Engineering Mathematics.  ISSN 0022-0833.  60, s 351- 363 . doi: 10.1007/s10665-007-9164-4
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2008). Semi-Godunov schemes for general triangular systems of conservation laws. Journal of Engineering Mathematics.  ISSN 0022-0833.  60 . doi: 10.1007/s10665-007-9163-5
  • Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl & Holden, Helge (2008). A convergent finite difference method for a variational wave equation. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  s 1- 34 . doi: 10.1093/imanum/drn026
  • Coclite, Giuseppe Maria & Karlsen, Kenneth Hvistendahl (2007). On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation. Journal of Differential Equations.  ISSN 0022-0396.  234 . doi: 10.1016/j.jde.2006.11.008
  • Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl & Urbano, J. M. (2007). On a two-sidedly degenerate chemotaxis model with volume-filling effect. Mathematical Models and Methods in Applied Sciences.  ISSN 0218-2025.  17(5), s 783- 804
  • Biswas, Imran Habib; Jakobsen, Espen Robstad & Karlsen, Kenneth h. (2007). Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion. Contemporary Mathematics.  ISSN 0271-4132.  429, s 19- 31
  • Biswas, Imran Habib; Jakobsen, Espen Robstad & Karlsen, Kenneth Hvistendahl (2007). Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion. Contemporary Mathematics.  ISSN 0271-4132.  429, s 19- 31
  • Burger, R; Frid, H & Karlsen, Kenneth Hvistendahl (2007). On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition. Journal of Mathematical Analysis and Applications.  ISSN 0022-247X.  326 . doi: 10.1016/j.jmaa.2006.02.072
  • Holden, Helge; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2007). Convergent difference schemes for the Hunter-Saxton equation. Mathematics of Computation.  ISSN 0025-5718.  76, s 699- 744
  • Karlsen, Kenneth Hvistendahl; Rascle, M & Tadmor, E (2007). On the existence and compactness of a two-dimensional resonant system of conservation laws. Communications in Mathematical Sciences.  ISSN 1539-6746.  5
  • Bendahmane, Mostafa; Coclite, Giuseppe Maria & Karlsen, Kenneth Hvistendahl (2006). H^1-perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation. Mediterranean Journal of Mathematics.  ISSN 1660-5446.  3(3-4), s 419- 432
  • Coclite, Giuseppe Maria & Karlsen, Kenneth Hvistendahl (2006). A semigroup of solutions for the Degasperis-Procesi equation, In Roberto Monaco; Giuseppe Mulone; Salvatore Rionero & Tommaso Ruggeri (ed.),  WAVES AND STABILITY IN CONTINUOUS MEDIA Proceedings of the 13th Conference on WASCOM 2005.  World Scientific.  ISBN 981-256-804-2.  Kapittel.  s 128 - 133
  • Coclite, Giuseppe Maria & Karlsen, Kenneth Hvistendahl (2006). A singular limit problem for conservation laws related to the Camassa-Holm shallow water equation. Communications in Partial Differential Equations.  ISSN 0360-5302.  31, s 1253- 1272
  • Jakobsen, Espen R. & Karlsen, Kenneth Hvistendahl (2006). A "maximum principle for semicontinuous functions" applicable to integro-partial differential equations. NoDEA. Nonlinear differential equations and applications (Printed ed.).  ISSN 1021-9722.  13, s 137- 165 . doi: 10.1007/s00030-005-0031-6
  • Bendahmane, Mostafa & Karlsen, Kenneth Hvistendahl (2006). Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Networks and Heterogeneous Media.  ISSN 1556-1801.  1(1), s 185- 218
  • Bendahmane, Mostafa & Karlsen, Kenneth Hvistendahl (2006). Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres. Electronic Journal of Differential Equations.  ISSN 1072-6691.  46, s 1- 30
  • Bendahmane, Mostafa & Karlsen, Kenneth Hvistendahl (2006). Renormalized solutions of an anisotropic reaction-diffusion-advection system with L-1 data. Communications on Pure and Applied Analysis.  ISSN 1534-0392.  5, s 733- 762
  • Burger, R; Concha, F; Karlsen, Kenneth Hvistendahl & Narvaez, A (2006). Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points. Mathematical and computer modelling.  ISSN 0895-7177.  44, s 255- 275
  • Burger, Raimund; Garcia, Antonio; Karlsen, Kenneth Hvistendahl & Towers, John D. (2006). A note on an extended clarifier-thickener model with singular source and sink terms. Scientia. Series A: Mathematical Sciences.  ISSN 0716-8446.  13, s 36- 44
  • Burger, Raimund; Garcia, Antonio; Karlsen, Kenneth Hvistendahl & Towers, John D. (2006). On an extended clarifier-thickener model with singular source and sink terms. European journal of applied mathematics (Print).  ISSN 0956-7925.  17, s 257- 292

Se alle arbeider i Cristin

  • Chen, Gui-Qiang; Holden, Helge & Karlsen, Kenneth Hvistendahl (ed.) (2014). Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V..  ISBN 978-3-642-39006-7.  384 s.
  • Holden, Helge & Karlsen, Kenneth Hvistendahl (ed.) (2012). Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V..  ISBN 978-3-642-25360-7.  360 s.
  • Holden, Helge & Karlsen, Kenneth Hvistendahl (ed.) (2010). Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS).  ISBN 978-0-8218-4976-7.  389 s.
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas & Risebro, Nils Henrik (2010). Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society Publishing House.  ISBN 978-3-03719-078-4.  226 s.

Se alle arbeider i Cristin

  • Berre, Inga; Dahle, Helge K.; Karlsen, Kenneth Hvistendahl; Nordbotten, Jan Martin; Tai, Xue-Cheng & Winther, Ragnar (2012). Magne Espedal Memorial Issue. International Journal of Numerical Analysis & Modeling.  ISSN 1705-5105.  9(3), s I- II
  • Rabenorolahy, David; Kalisch, Henrik & Karlsen, Kenneth Hvistendahl (2008). Relaxation schemes for degenerate parabolic convection diffusion equations with a discontinuous coefficient.

Se alle arbeider i Cristin

Publisert 13. nov. 2010 11:23 - Sist endret 15. des. 2017 07:22