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Kenneth H. Karlsen
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- affiliation: University of Oslo
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2020 – today
- 2025
- [j45]Ulrik S. Fjordholm
, Kenneth H. Karlsen, Peter H. C. Pang
Convergent Finite Difference Schemes for Stochastic Transport Equations. SIAM J. Numer. Anal. 63(1): 149-192 (2025) - 2023
- [i2]Kenneth H. Karlsen, John D. Towers:
Compactness estimates for difference schemes for conservation laws with discontinuous flux. CoRR abs/2305.18765 (2023) - [i1]Ulrik S. Fjordholm, Kenneth H. Karlsen, Peter H. C. Pang:
Convergent finite difference schemes for stochastic transport equations. CoRR abs/2309.02208 (2023) - 2022
- [j44]Mostafa Bendahmane, Kenneth H. Karlsen:
Martingale solutions of stochastic nonlocal cross-diffusion systems. Networks Heterog. Media 17(5): 719-752 (2022)
2010 – 2019
- 2019
- [j43]Erik Grandelius, Kenneth H. Karlsen:
The cardiac bidomain model and homogenization. Networks Heterog. Media 14(1): 173-204 (2019) - 2016
- [j42]Kenneth H. Karlsen, Süleyman Ulusoy
On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion. Networks Heterog. Media 11(1): 181-201 (2016) - [j41]Rinaldo M. Colombo
Special issue on contemporary topics in conservation laws. Networks Heterog. Media 11(1): i-ii (2016) - [j40]Rinaldo M. Colombo
Special issue on contemporary topics in conservation laws. Networks Heterog. Media 11(2): i-ii (2016) - 2014
- [j39]Kenneth H. Karlsen, Nils Henrik Risebro, Erlend B. Storrøsten
L1 error estimates for difference approximations of degenerate convection-diffusion equations. Math. Comput. 83(290): 2717-2762 (2014) - 2013
- [j38]Helge Holden, Kenneth H. Karlsen, Trygve K. Karper:
Operator splitting for two-dimensional incompressible fluid equations. Math. Comput. 82(282): 719-748 (2013) - [j37]Helge Holden, Kenneth H. Karlsen, Trygve K. Karper:
Operator Splitting for Well-Posed Active Scalar Equations. SIAM J. Math. Anal. 45(1): 152-180 (2013) - 2012
- [j36]Kenneth H. Karlsen, Ujjwal Koley, Nils Henrik Risebro:
An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Numerische Mathematik 121(2): 367-395 (2012) - 2011
- [j35]Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro, Terence Tao:
Operator splitting for the KdV equation. Math. Comput. 80(274): 821-846 (2011) - [j34]Kenneth H. Karlsen, Trygve K. Karper:
Convergence of a mixed method for a semi-stationary compressible Stokes system. Math. Comput. 80(275): 1459-1498 (2011) - [j33]Boris P. Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen, Charles Pierre:
Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Networks Heterog. Media 6(2): 195-240 (2011) - [j32]Hermano Frid, Helge Holden, Kenneth H. Karlsen:
L∞ Solutions for a Model of Nonisothermal Polytropic Gas Flow. SIAM J. Math. Anal. 43(5): 2253-2274 (2011) - 2010
- [j31]Raimund Bürger
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Networks Heterog. Media 5(3): 461-485 (2010) - [j30]Boris P. Andreianov, Kenneth H. Karlsen, Nils Henrik Risebro:
On vanishing viscosity approximation of conservation laws with discontinuous flux. Networks Heterog. Media 5(3): 617-633 (2010) - [j29]Raimund Bürger
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Numerische Mathematik 116(4): 579-617 (2010) - [j28]Imran H. Biswas, Espen R. Jakobsen
Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE. SIAM J. Numer. Anal. 48(3): 1110-1135 (2010) - [j27]Kenneth H. Karlsen, Trygve K. Karper:
A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow. SIAM J. Numer. Anal. 48(5): 1846-1876 (2010)
2000 – 2009
- 2009
- [j26]Kenneth H. Karlsen, Siddhartha Mishra, Nils Henrik Risebro:
Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Math. Comput. 78(265): 55-78 (2009) - [j25]Kenneth H. Karlsen, Siddhartha Mishra, Nils Henrik Risebro:
Convergence of finite volume schemes for triangular systems of conservation laws. Numerische Mathematik 111(4): 559-589 (2009) - [j24]Raimund Bürger
An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections. SIAM J. Numer. Anal. 47(3): 1684-1712 (2009) - 2008
- [j23]Raimund Bürger
A kinematic model of continuous separation and classification of polydisperse suspensions. Comput. Chem. Eng. 32(6): 1173-1194 (2008) - [j22]Raimund Bürger, Antonio García
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Networks Heterog. Media 3(1): 1-41 (2008) - [j21]Espen R. Jakobsen
Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. Numerische Mathematik 110(2): 221-255 (2008) - [j20]Giuseppe Maria Coclite
A Convergent Finite Difference Scheme for the Camassa-Holm Equation with General H1 Initial Data. SIAM J. Numer. Anal. 46(3): 1554-1579 (2008) - 2007
- [j19]Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro:
Convergent difference schemes for the Hunter-Saxton equation. Math. Comput. 76(258): 699-744 (2007) - 2006
- [j18]Raimund Bürger
Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points. Math. Comput. Model. 44(3-4): 255-275 (2006) - [j17]Mostafa Bendahmane, Kenneth H. Karlsen:
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Networks Heterog. Media 1(1): 185-218 (2006) - [j16]Steinar Evje, Kenneth H. Karlsen:
Hyperbolic-elliptic models for well-reservoir flow. Networks Heterog. Media 1(4): 639-673 (2006) - 2005
- [j15]Raimund Bürger
A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units. SIAM J. Appl. Math. 65(3): 882-940 (2005) - [j14]Giuseppe Maria Coclite
Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation. SIAM J. Math. Anal. 37(4): 1044-1069 (2005) - 2004
- [j13]Kenneth H. Karlsen, Christian Klingenberg
A relaxation scheme for conservation laws with a discontinuous coefficient. Math. Comput. 73(247): 1235-1259 (2004) - [j12]Raimund Bürger, Kenneth H. Karlsen, Nils Henrik Risebro, John D. Towers:
Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Numerische Mathematik 97(1): 25-65 (2004) - [j11]Mostafa Bendahmane, Kenneth H. Karlsen:
Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations. SIAM J. Math. Anal. 36(2): 405-422 (2004) - 2003
- [j10]Fred E. Benth, Kenneth H. Karlsen, Kristin Reikvam:
A semilinear Black and Scholes partial differential equation for valuing American options. Finance Stochastics 7(3): 277-298 (2003) - [j9]Elmer M. Tory, Kenneth H. Karlsen, Raimund Bürger
Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression. SIAM J. Appl. Math. 64(1): 41-80 (2003) - 2002
- [j8]Raimund Bürger
On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration. SIAM J. Math. Anal. 34(3): 611-635 (2002) - 2001
- [j7]Fred E. Benth, Kenneth H. Karlsen, Kristin Reikvam:
Optimal portfolio selection with consumption and nonlinear integro-differential equations with gradient constraint: A viscosity solution approach. Finance Stochastics 5(3): 275-303 (2001) - [j6]Fred E. Benth, Kenneth H. Karlsen, Kristin Reikvam:
Optimal portfolio management rules in a non-Gaussian market with durability and intertemporal substitution. Finance Stochastics 5(4): 447-467 (2001) - [j5]Espen R. Jakobsen
On the Convergence Rate ofOperator Splitting for Hamilton-Jacobi Equations with Source Terms. SIAM J. Numer. Anal. 39(2): 499-518 (2001) - 2000
- [j4]Steinar Evje, Kenneth H. Karlsen:
Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations. Numerische Mathematik 86(3): 377-417 (2000) - [j3]Kenneth Hvistendahl Karlsen, Nils Henrik Risebro:
Corrected Operator Splitting for Nonlinear Parabolic Equations. SIAM J. Numer. Anal. 37(3): 980-1003 (2000) - [j2]Steinar Evje, Kenneth Hvistendahl Karlsen:
Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations. SIAM J. Numer. Anal. 37(6): 1838-1860 (2000)
1990 – 1999
- 1999
- [j1]Steinar Evje, Kenneth H. Karlsen:
Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations. Numerische Mathematik 83(1): 107-137 (1999)
Coauthor Index
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