+
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Convergent Finite Difference Schemes for Stochastic Transport Equations
|
2025
|
Ulrik Skre Fjordholm
Kenneth H. Karlsen
Peter H. C. Pang
|
+
PDF
Chat
|
Yamada-Watanabe uniqueness results for SPDEs driven by Wiener and pure
jump processes
|
2025
|
Kistosil Fahim
Erika Hausenblas
Kenneth H. Karlsen
|
+
PDF
Chat
|
Global semigroup of conservative weak solutions of the two-component
Novikov equation
|
2025
|
Kenneth H. Karlsen
Yan Rybalko
|
+
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On the viscosity approximation of conservation laws with non-crossing discontinuous flux
|
2024
|
Kenneth H. Karlsen
Darko Mitrović
Marko Nedeljkov
|
+
PDF
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On the well-posedness of the Cauchy problem for the two-component peakon system in $$C^k\cap W^{k,1}$$
|
2024
|
Kenneth H. Karlsen
Yan Rybalko
|
+
PDF
Chat
|
Convergence of stochastic integrals with applications to transport
equations and conservation laws with noise
|
2024
|
Kenneth H. Karlsen
Peter H. C. Pang
|
+
PDF
Chat
|
On the well-posedness of the Cauchy problem for the two-component peakon
system in $C^k\cap W^{k,1}$
|
2024
|
Kenneth H. Karlsen
Rybalko Ya
|
+
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Global existence of dissipative solutions to the Camassa–Holm equation with transport noise
|
2024
|
Luca Galimberti
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
PDF
|
Compactness estimates for difference schemes for conservation laws with discontinuous flux
|
2024
|
Kenneth H. Karlsen
John D. Towers
|
+
|
Well-Posedness of Stochastic Continuity Equations on Riemannian Manifolds
|
2024
|
Luca Galimberti
Kenneth H. Karlsen
|
+
|
Quantitative Compactness Estimates for Stochastic Conservation Laws
|
2024
|
Kenneth H. Karlsen
|
+
PDF
Chat
|
A dynamic capillarity equation with stochastic forcing on manifolds: A singular limit problem
|
2023
|
Kenneth H. Karlsen
Michael Kunzinger
Darko Mitrović
|
+
|
On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system
|
2023
|
Kenneth H. Karlsen
Yan Rybalko
|
+
|
Quantitative compactness estimates for stochastic conservation laws
|
2023
|
Kenneth H. Karlsen
|
+
|
Weak convergence of stochastic integrals
|
2023
|
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
A nonlocal Lagrangian traffic flow model and the zero-filter limit
|
2023
|
Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
|
+
|
On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system
|
2023
|
Kenneth H. Karlsen
Yan Rybalko
|
+
|
Compactness estimates for difference schemes for conservation laws with discontinuous flux
|
2023
|
Kenneth H. Karlsen
John D. Towers
|
+
|
Convergent finite difference schemes for stochastic transport equations
|
2023
|
Ulrik Skre Fjordholm
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
Stochastic electromechanical bidomain model
|
2023
|
Mostafa Bendahmane
Kenneth H. Karlsen
Fatima Mroue
|
+
|
Velocity averaging under minimal conditions for deterministic and stochastic kinetic equations with irregular drift
|
2023
|
Marko Erceg
Kenneth H. Karlsen
Darko Mitrović
|
+
PDF
|
Global well-posedness of the viscous Camassa–Holm equation with gradient noise
|
2022
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
Homogenization of stochastic conservation laws with multiplicative noise
|
2022
|
Hermano Frid
Kenneth H. Karlsen
Daniel Marroquin
|
+
|
Strong solutions of a stochastic differential equation with irregular random drift
|
2022
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
Global well-posedness of the viscous Camassa--Holm equation with gradient noise
|
2022
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
A dynamic capillarity equation with stochastic forcing on manifolds: a singular limit problem
|
2022
|
Kenneth H. Karlsen
Michael Kunzinger
Darko Mitrović
|
+
|
Global existence of dissipative solutions to the Camassa--Holm equation with transport noise
|
2022
|
Luca Galimberti
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
Renormalization of stochastic continuity equations on Riemannian manifolds
|
2021
|
Luca Galimberti
Kenneth H. Karlsen
|
+
PDF
Chat
|
Strong solutions of a stochastic differential equation with irregular
random drift
|
2021
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
Well-posedness of stochastic continuity equations on Riemannian manifolds
|
2021
|
Luca Galimberti
Kenneth H. Karlsen
|
+
|
The Hunter–Saxton equation with noise
|
2020
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
On the generalized almost periodic homogenization of stochastic conservation laws with multiplicative noise
|
2020
|
Hermano Frid
Kenneth H. Karlsen
Daniel Marroquin
|
+
|
The Hunter-Saxton equation with noise
|
2020
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
The Hunter-Saxton equation with noise
|
2020
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
+
|
Homogenization of Stochastic Conservation Laws with Multiplicative Noise
|
2020
|
Hermano Frid
Kenneth H. Karlsen
Daniel Marroquin
|
+
|
Renormalization of stochastic continuity equations on Riemannian manifolds
|
2019
|
Luca Galimberti
Kenneth H. Karlsen
|
+
PDF
|
Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds
|
2019
|
Luca Galimberti
Kenneth H. Karlsen
|
+
PDF
|
Numerical methods for conservation laws with rough flux
|
2019
|
Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds
|
2019
|
Luca Galimberti
Kenneth H. Karlsen
|
+
|
Stochastically forced cardiac bidomain model
|
2019
|
Mostafa Bendahmane
Kenneth H. Karlsen
|
+
PDF
|
The cardiac bidomain model and homogenization
|
2019
|
Erik Grandelius
Kenneth H. Karlsen
|
+
|
Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds
|
2019
|
Luca Galimberti
Kenneth H. Karlsen
|
+
|
Renormalization of stochastic continuity equations on Riemannian manifolds
|
2019
|
Luca Galimberti
Kenneth H. Karlsen
|
+
|
The cardiac bidomain model and homogenization
|
2018
|
Erik Grandelius
Kenneth H. Karlsen
|
+
|
The initial-boundary-value problem for an Ostrovsky–Hunter type equation
|
2018
|
Giuseppe Maria Coclite
Lorenzo di Ruvo
Kenneth H. Karlsen
|
+
PDF
|
Path-dependent convex conservation laws
|
2018
|
Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
Stochastically forced cardiac bidomain model
|
2018
|
Mostafa Bendahmane
Kenneth H. Karlsen
|
+
|
Numerical methods for conservation laws with rough flux.
|
2018
|
Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
The cardiac bidomain model and homogenization
|
2018
|
Erik Grandelius
Kenneth H. Karlsen
|
+
|
Stochastically forced cardiac bidomain model
|
2018
|
Mostafa Bendahmane
Kenneth H. Karlsen
|
+
|
Numerical methods for conservation laws with rough flux
|
2018
|
Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
PDF
|
Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition
|
2017
|
Kenneth H. Karlsen
John D. Towers
|
+
|
Path-dependent convex conservation laws
|
2017
|
Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
PDF
|
Analysis of a splitting method for stochastic balance laws
|
2017
|
Kenneth H. Karlsen
Erlend Briseid Storrøsten
|
+
PDF
|
Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions
|
2017
|
Kenneth H. Karlsen
John D. Towers
|
+
PDF
|
Practical Convergence Rates for Degenerate Parabolic Equations
|
2017
|
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
Path-dependent convex conservation laws
|
2017
|
Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
On stochastic conservation laws and Malliavin calculus
|
2016
|
Kenneth H. Karlsen
Erlend Briseid Storrøsten
|
+
|
Analysis of a splitting method for stochastic balance laws
|
2016
|
Erlend Briseid Storrøsten
Kenneth H. Karlsen
|
+
|
On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion
|
2016
|
Kenneth H. Karlsen
Süleyman Ulusoy
|
+
|
Analysis of a splitting method for stochastic balance laws
|
2016
|
Erlend Briseid Storrøsten
Kenneth H. Karlsen
|
+
PDF
Chat
|
Conservation laws driven by Lévy white noise
|
2015
|
Imran H. Biswas
Kenneth H. Karlsen
Ananta K. Majee
|
+
PDF
|
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
|
2015
|
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
On stochastic conservation laws and Malliavin calculus
|
2015
|
Kenneth H. Karlsen
Erlend Briseid Storrøsten
|
+
|
A note on the Camassa–Holm equation
|
2015
|
Giuseppe Maria Coclite
Kenneth H. Karlsen
|
+
|
On stochastic conservation laws and Malliavin calculus
|
2015
|
Kenneth H. Karlsen
Erlend Briseid Storrøsten
|
+
|
Periodic solutions of the Degasperis–Procesi equation: Well-posedness and asymptotics
|
2014
|
Giuseppe Maria Coclite
Kenneth H. Karlsen
|
+
|
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
|
2014
|
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
Convergence rate of upwind finite difference methods for degenerate parabolic equations in several space dimensions
|
2014
|
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
Conservation laws driven by L\'{e}vy white noise
|
2014
|
Imran H. Biswas
Kenneth H. Karlsen
Ananta K. Majee
|
+
|
𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations
|
2014
|
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
Conservation laws driven by Lévy white noise
|
2014
|
Imran H. Biswas
Kenneth H. Karlsen
Ananta K. Majee
|
+
|
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
|
2014
|
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
Some Wellposedness Results for the Ostrovsky–Hunter Equation
|
2013
|
Giuseppe Maria Coclite
Lorenzo di Ruvo
Kenneth H. Karlsen
|
+
|
On the singular limit of a two‐phase flow equation with heterogeneities and dynamic capillary pressure
|
2013
|
Frederike Kissling
Kenneth H. Karlsen
|
+
PDF
|
Operator Splitting for Well-Posed Active Scalar Equations
|
2013
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
+
|
Well-posedness and Travelling Wave Analysis for a Strongly Degenerate Parabolic Aggregation Equation
|
2012
|
Fernando Betancourt
Raimund Bürger
Kenneth H. Karlsen
|
+
|
Hamiltonian Approximation of Entropy Solutions of the Burgers Equation
|
2012
|
Giuseppe Maria Coclite
Kenneth H. Karlsen
|
+
|
Nonlinear anisotropic elliptic and parabolic equations with variable exponents and $L^1$ data
|
2012
|
Mostafa Bendahmane
Kenneth H. Karlsen
Mazen Saad
|
+
PDF
|
Operator splitting for two-dimensional incompressible fluid equations
|
2012
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
+
|
L1 Error Estimates for Difference Approximations Of Degenerate Convection-Diffusion Equations
|
2012
|
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
A note on entropy solutions for degenerate parabolic equations with
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2012
|
Mostafa Bendahmane
Kenneth H. Karlsen
|
+
PDF
Chat
|
On Nonlinear Stochastic Balance Laws
|
2012
|
Gui‐Qiang Chen
Qian Ding
Kenneth H. Karlsen
|
+
|
Operator splitting for well-posed active scalar equations
|
2012
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
+
|
A note on entropy solutions for degenerate parabolic equations with L<SUP align="right">1</SUP> ∩ L<SUP align="right">p</SUP> data
|
2012
|
Mostafa Bendahmane
Kenneth H. Karlsen
|
+
|
Analysis of a compressible gas-liquid model motivated by oil well control operations
|
2012
|
Steinar Evje
Kenneth H. Karlsen
|
+
PDF
|
On an initial-boundary value problem for the hyperelastic rod wave equation
|
2012
|
Giuseppe Maria Coclite
Kenneth H. Karlsen
|
+
PDF
|
Nonlinear Partial Differential Equations
|
2012
|
Helge Holden
Kenneth H. Karlsen
|
+
|
A note on entropy solutions for degenerate parabolic equations with L1∩Lp data
|
2012
|
Mostafa Bendahmane
Kenneth H. Karlsen
|
+
|
L1 Error Estimates for Difference Approximations Of Degenerate Convection-Diffusion Equations
|
2012
|
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
|
+
|
Operator splitting for well-posed active scalar equations
|
2012
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
+
|
Nonlinear Partial Differential Equations : The Abel Symposium 2010
|
2012
|
Helge Holden
Kenneth H. Karlsen
|
+
PDF
Chat
|
An error estimate for the finite difference approximation to degenerate convection–diffusion equations
|
2011
|
Kenneth H. Karlsen
Ujjwal Koley
Nils Henrik Risebro
|
+
PDF
Chat
|
A convergent mixed method for the Stokes approximation of viscous compressible flow
|
2011
|
Kenneth H. Karlsen
Trygve K. Karper
|
+
PDF
|
The discontinuous Galerkin method for fractional degenerate convection-diffusion equations
|
2011
|
Simone Cifani
Espen R. Jakobsen
Kenneth H. Karlsen
|
+
|
Operator splitting for two-dimensional incompressible fluid equations
|
2011
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
+
PDF
|
A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux
|
2011
|
Boris Andreïanov
Kenneth H. Karlsen
Nils Henrik Risebro
|
+
|
$L^\infty$ Solutions for a Model of Nonisothermal Polytropic Gas Flow
|
2011
|
Hermano Frid
Helge Holden
Kenneth H. Karlsen
|
+
PDF
|
A duality approach to the fractional Laplacian with measure data
|
2011
|
Kenneth H. Karlsen
Francesco Petitta
Süleyman Ulusoy
|
+
PDF
|
Convergence of discrete duality finite volume schemes for the cardiac bidomain model
|
2011
|
Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Charles Pierre
|
+
|
An error estimate for the finite difference approximation to degenerate convection -diffusion equations
|
2011
|
Kenneth H. Karlsen
Ujjwal Koley
Nils Henrik Risebro
|
+
PDF
|
A strongly degenerate parabolic aggregation equation
|
2011
|
Fernando Betancourt
Raimund Bürger
Kenneth H. Karlsen
|
+
|
Operator splitting for two-dimensional incompressible fluid equations
|
2011
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
+
PDF
|
Operator splitting for the KdV equation
|
2010
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
Terence Tao
|
+
PDF
|
Convergence of a mixed method for a semi-stationary compressible Stokes system
|
2010
|
Kenneth H. Karlsen
Trygve K. Karper
|
+
|
$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
|
2010
|
Hermano Frid
Helge Holden
Kenneth H. Karlsen
|
+
|
A strongly degenerate parabolic aggregation equation
|
2010
|
Fernando Betancourt
Raimund Bürger
Kenneth H. Karlsen
|
+
PDF
Chat
|
The discontinuous Galerkin method for fractal conservation laws
|
2010
|
Simone Cifani
Espen R. Jakobsen
Kenneth H. Karlsen
|
+
PDF
Chat
|
DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS
|
2010
|
Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
|
+
|
Nonlinear partial differential equations and hyperbolic wave phenomena : 2008-2009 Research Program on Nonlinear Partial Differential Equations, Centre for Advanced Study of the Norwegian Academy of Sciences and Letters, Oslo, Norway
|
2010
|
Norske videnskaps-akademi
Helge Holden
Kenneth H. Karlsen
|
+
|
Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena
|
2010
|
Helge Holden
Kenneth H. Karlsen
|
+
PDF
|
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux
|
2010
|
Raimund Bürger
Kenneth H. Karlsen
John D. Towers
|
+
PDF
|
On vanishing viscosity approximation of conservation laws with discontinuous flux
|
2010
|
Boris Andreïanov
Kenneth H. Karlsen
Nils Henrik Risebro
|
+
PDF
|
A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow
|
2010
|
Kenneth H. Karlsen
Trygve K. Karper
|
+
PDF
Chat
|
Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE
|
2010
|
Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
|
+
|
Convergence of discrete duality finite volume schemes for the cardiac bidomain model
|
2010
|
Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Charles Pierre
|
+
PDF
|
Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation
|
2010
|
Chunxia Guan
Kenneth H. Karlsen
Zhaoyang Yin
|
+
|
$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
|
2010
|
Hermano Frid
Helge Holden
Kenneth H. Karlsen
|
+
|
A strongly degenerate parabolic aggregation equation
|
2010
|
Fernando Betancourt
Raimund Bürger
Kenneth H. Karlsen
|
+
PDF
|
Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes
|
2009
|
Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
|
+
PDF
|
Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function
|
2009
|
Helge Holden
Kenneth H. Karlsen
Darko Mitrović
Evgeny Yu. Panov
|
+
|
Initial–boundary value problems for conservation laws with source terms and the Degasperis–Procesi equation
|
2009
|
Giuseppe Maria Coclite
Kenneth H. Karlsen
Young‐Sam Kwon
|
+
PDF
|
Stable upwind schemes for the magnetic induction equation
|
2009
|
Franz Fuchs
Kenneth H. Karlsen
S. Mishra
Nils Henrik Risebro
|
+
|
Well-posedness results for triply nonlinear degenerate parabolic equations
|
2009
|
Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Stanislas Ouaro
|
+
|
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations
|
2009
|
Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
|
+
|
Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations
|
2009
|
Kenneth H. Karlsen
Süleyman Ulusoy
|
+
PDF
|
Convergent finite element methods for compressible barotropic Stokes systems
|
2009
|
Kenneth H. Karlsen
Trygve K. Karper
|
+
|
A convergent mixed method for the Stokes approximation of viscous compressible flow
|
2009
|
Kenneth H. Karlsen
Trygve K. Karper
|
+
PDF
|
An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
|
2009
|
Raimund Bürger
Kenneth H. Karlsen
John D. Towers
|
+
|
Global weak solutions for a viscous liquid-gas model with singular pressure law
|
2009
|
Steinar Evje
Kenneth H. Karlsen
|
+
PDF
|
Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function
|
2009
|
Helge Holden
Kenneth H. Karlsen
Darko Mitrović
|
+
|
Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE
|
2009
|
Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
|
+
|
Convergence of a mixed method for a semi-stationary compressible Stokes system
|
2009
|
Kenneth H. Karlsen
Trygve K. Karper
|
+
|
Operator splitting for the KdV equation
|
2009
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
Terence Tao
|
+
|
A convergent nonconforming finite element method for compressible Stokes flow
|
2009
|
Kenneth H. Karlsen
Trygve K. Karper
|
+
|
Convergence of Vanishing Viscosity Approximations of 2 x 2 Triangular Systems of Multi-Dimensional Conservation Laws
|
2009
|
Giuseppe Maria Coclite
Kenneth H. Karlsen
Suyash Narayan Mishra
Nils Henrik Risebro
|
+
|
Semi-Godunov schemes for multiphase flows in porous media
|
2008
|
Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
|
+
|
Identification of diffusion parameters in a nonlinear convection–diffusion equation using the augmented Lagrangian method
|
2008
|
Trygve Kastberg Nilssen
Kenneth H. Karlsen
Trond Mannseth
Xue–Cheng Tai
|
+
PDF
|
Convergence of finite volume schemes for triangular systems of conservation laws
|
2008
|
Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
|
+
PDF
|
Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation
|
2008
|
Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
|
+
PDF
|
Well-posedness of higher-order Camassa–Holm equations
|
2008
|
Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
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Chat
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A convergent finite-difference method for a nonlinear variational wave equation
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2008
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Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
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PDF
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ERROR ESTIMATES FOR A CLASS OF FINITE DIFFERENCE-QUADRATURE SCHEMES FOR FULLY NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDES
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2008
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Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
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Conservation laws with discontinuous flux: a short introduction
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2008
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Raimund Bürger
Kenneth H. Karlsen
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PDF
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An explicit finite difference scheme for the Camassa-Holm equation
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2008
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Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
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Bounded solutions for the Degasperis-Procesi equation
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2008
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Giuseppe Maria Coclite
Kenneth H. Karlsen
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A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General $H^1$ Initial Data
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2008
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Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
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Global Weak Solutions for a Shallow Water Equation
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2008
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Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
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A gradient reconstruction formula for nite volume schemes and discrete duality
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2008
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Mostafa Bendahmane
Boris Andreïanov
Kenneth H. Karlsen
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An explicit finite difference scheme for the Camassa-Holm equation
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2008
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Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
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Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
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2008
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G. C. Coclite
Kenneth H. Karlsen
Young‐Sam Kwon
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Convergent finite element methods for compressible barotropic Stokes systems
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2008
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Kenneth H. Karlsen
Trygve K. Karper
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Numerical schemes for kinematic flows with discontinuous flux
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2007
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Raimund Bürger
Antonio García
Kenneth H. Karlsen
John D. Towers
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PDF
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Global existence of weak solutions for a viscous two-phase model
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2007
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Steinar Evje
Kenneth H. Karlsen
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Discontinuous solutions for the Degasperis-Procesi equation
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2007
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Giuseppe Maria Coclite
Kenneth H. Karlsen
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Anisotropic Doubly Nonlinear Degenerate Parabolic Equations
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2007
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Mostafa Bendahmane
Kenneth H. Karlsen
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PDF
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A large-time-stepping scheme for balance equations
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2007
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Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
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PDF
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Semi-Godunov schemes for general triangular systems of conservation laws
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2007
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Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
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PDF
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ON A TWO-SIDEDLY DEGENERATE CHEMOTAXIS MODEL WITH VOLUME-FILLING EFFECT
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2007
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Mostafa Bendahmane
Kenneth H. Karlsen
José Miguel Urbano
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PDF
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Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation
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2007
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Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
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PDF
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Convergent difference schemes for the Hunter–Saxton equation
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2007
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Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
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PDF
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On the existence and compactness of a two-dimensional resonant system of conservation laws
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2007
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Kenneth H. Karlsen
M. Rascle
Eitan Tadmor
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A convergent finite difference method for a nonlinear variational wave equation
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2007
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Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
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Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion
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2007
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Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
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On the uniqueness of discontinuous solutions to the Degasperis–Procesi equation
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2006
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Giuseppe Maria Coclite
Kenneth H. Karlsen
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PDF
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H1-perturbations of Smooth Solutions for a Weakly Dissipative Hyperelastic-rod Wave Equation
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2006
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Mostafa Bendahmane
Giuseppe Maria Coclite
Kenneth H. Karlsen
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PDF
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On the Existence and Compactness of a Two-Dimensional Resonant System of Conservation Laws
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2006
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Kenneth H. Karlsen
M. Rascle
Eitan Tadmor
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PDF
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A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation
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2006
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Giuseppe Maria Coclite
Kenneth H. Karlsen
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On an extended clarifier-thickener model with singular source and sink terms
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2006
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Raimund Bürger
Antonio García
Kenneth H. Karlsen
John D. Towers
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Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points
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2006
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Raimund Bürger
F. Concha
Kenneth H. Karlsen
Ariel Narváez
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ANISOTROPIC NONLINEAR ELLIPTIC SYSTEMS WITH MEASURE DATA AND ANISOTROPIC HARMONIC MAPS INTO SPHERES
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2006
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Mostafa Bendahmane
Kenneth H. Karlsen
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On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition
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2006
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Raimund Bürger
Hermano Frid
Kenneth H. Karlsen
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A SEMIGROUP OF SOLUTIONS FOR THE DEGASPERIS-PROCESI EQUATION
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2006
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Giuseppe Maria Coclite
Kenneth H. Karlsen
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PDF
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None
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2006
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Gui‐Qiang Chen
Kenneth H. Karlsen
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On the well-posedness of the Degasperis–Procesi equation
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2006
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Giuseppe Maria Coclite
Kenneth H. Karlsen
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PDF
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A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations
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2006
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Espen R. Jakobsen
Kenneth H. Karlsen
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PDF
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Renormalized solutions of an anisotropic reaction-diffusion-advection system with $L^1$ data
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2006
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Mostafa Bendahmane
Kenneth H. Karlsen
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PDF
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Hyperbolic-elliptic models for well-reservoir flow
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2006
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Steinar Evje
Kenneth H. Karlsen
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ON A FINITE DIFFERENCE SCHEME FOR A BEELER-REUTER BASED MODEL OF CARDIAC ELECTRICAL ACTIVITY
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2006
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Monica Hanslien
Kenneth H. Karlsen
Aslak Tveito
Xue–Cheng Tai
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ERROR ESTIMATES FOR FINITE DIFFERENCE-QUADRATURE SCHEMES FOR A CLASS OF NONLOCAL BELLMAN EQUATIONS WITH VARIABLE DIFFUSION COEFFICIENTS
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2006
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Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
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Notes on weak convergence (MAT4380 - Spring 2006)
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2006
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Kenneth H. Karlsen
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On the existence and compactness of a two-dimensional resonant system of conservation laws
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2006
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Kenneth H. Karlsen
M. Rascle
Eitan Tadmor
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A Maximum Principle for an Explicit Finite Difference Scheme Approximating the Hodgkin-Huxley Model
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2005
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Monica Hanslien
Kenneth H. Karlsen
Aslak Tveito
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A relaxation scheme forcontinuous sedimentation in ideal clarifier-thickener units
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2005
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Raimund Bürger
Kenneth H. Karlsen
Nils Henrik Risebro
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Convergence Rates for Semi-Discrete Splitting Approximations for Degenerate Parabolic Equations with Source Terms
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2005
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Espen R. Jakobsen
Kenneth H. Karlsen
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Nonlinear Anisotropic Elliptic and Parabolic Equations in RN with Advection and Lower Order Terms and Locally Integrable Data
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2005
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Mostafa Bendahmane
Kenneth H. Karlsen
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PDF
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Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
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2005
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Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
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PDF
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Wellposedness for a parabolic-elliptic system
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2005
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Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
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PDF
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Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
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2005
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Gui‐Qiang Chen
Kenneth H. Karlsen
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RENORMALIZED SOLUTIONS OF AN ANISOTROPIC REACTION-DIFFUSION-ADVECTION SYSTEM WITH L¹ DATA MODELING THE PROPAGATION OF AN EPIDEMIC DISEASE
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2005
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Mostafa Bendahmane
Kenneth H. Karlsen
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PDF
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Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations
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2005
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Mostafa Bendahmane
Kenneth H. Karlsen
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𝐿¹–framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations
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2004
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Gui‐Qiang Chen
Kenneth H. Karlsen
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PDF
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CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX
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2004
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Kenneth H. Karlsen
John D. Towers
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PDF
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Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units
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2004
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Reinhard B�rger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
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PDF
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FRONT TRACKING FOR SCALAR BALANCE EQUATIONS
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2004
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Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
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Monotone difference approximations for the simulation of clarifier-thickener units
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2004
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Raimund Bürger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
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PDF
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Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations
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2004
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Mostafa Bendahmane
Kenneth H. Karlsen
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WELLPOSEDNESS OF SOLUTIONS OF A PARABOLIC-ELLIPTIC SYSTEM
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2004
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Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
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PDF
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A relaxation scheme for conservation laws with a discontinuous coefficient
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2003
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Kenneth H. Karlsen
Christian Klingenberg
Nils Henrik Risebro
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Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions
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2003
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Stefan Berres
Raimund Bürger
Kenneth H. Karlsen
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QUASI MONTE–CARLO EVALUATION OF SENSITIVITIES OF OPTIONS IN COMMODITY AND ENERGY MARKETS
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2003
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Fred Espen Benth
Lars O. Dahl
Kenneth H. Karlsen
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Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units
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2003
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Raimund Bürger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
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A mathematical model for batch and continuous thickening of flocculated suspensions in vessels with varying cross-section
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2003
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Raimund Bürger
João Jorge Ribeiro Damasceno
Kenneth H. Karlsen
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On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations
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2003
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Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
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A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units
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2003
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Raimund Bürger
Kenneth H. Karlsen
Christian Klingenberg
Nils Henrik Risebro
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Relaxation Schemes for Conservation Laws with Discontinuous Coefficients
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2003
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Kenneth H. Karlsen
Christian Klingenberg
Nils Henrik Risebro
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RENORMALIZED ENTROPY SOLUTIONS FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONS
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2003
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Mostafa Bendahmane
Kenneth H. Karlsen
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PDF
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On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
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2003
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Kenneth H. Karlsen
Nils Henrik Risebro
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Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
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2003
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Elmer M. Tory
Kenneth H. Karlsen
Raimund Bürger
Stefan Berres
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On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area
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2003
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Raimund Bürger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
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Recent advances in conservation laws with discontinuous flux and clarifier-thickener models
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2003
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Raimund Bürger
Kenneth H. Karlsen
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L¹-FRAMEWORK FOR CONTINUOUS DEPENDENCE AND ERROR ESTIMATES FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONSL¹-FRAMEWORK FOR CONTINUOUS DEPENDENCE AND ERROR ESTIMATES FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONS
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2003
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Gui‐Qiang Chen
Kenneth H. Karlsen
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L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
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2003
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Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
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An error estimate for viscous approximate solutions of degenerate parabolic equations
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2003
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Steinar Evje
Kenneth H. Karlsen
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A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations
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2002
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Kenneth H. Karlsen
Mario Ohlberger
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Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
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2002
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Kenneth H. Karlsen
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On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient
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2002
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Kenneth H. Karlsen
Nils Henrik Risebro
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PDF
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A note on front tracking and the equivalence between viscosity solutions of Hamilton–Jacobi equations and entropy solutions of scalar conservation laws
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2002
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Kenneth H. Karlsen
Nils Henrik Risebro
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Continuous Dependence Estimates for Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Equations
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2002
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Espen R. Jakobsen
Kenneth H. Karlsen
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PDF
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Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations
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2002
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Espen R. Jakobsen
Kenneth H. Karlsen
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High-resolution hybrid primitive–conservative upwind schemes for the drift flux model
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2002
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Kjell Kåre Fjelde
Kenneth H. Karlsen
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PDF
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On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration
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2002
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Raimund Bürger
Hermano Frid
Kenneth H. Karlsen
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PDF
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An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations
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2002
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Steinar Evje
Kenneth H. Karlsen
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ON DERIVATIVES OF CLAIMS IN COMMODITY AND ENERGY MARKETS USING A MALLIAVIN APPROACH
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2002
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Fred Espen Benth
Lars O. Dahl
Kenneth H. Karlsen
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PDF
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Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
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2001
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Kenneth H. Karlsen
Nils Henrik Risebro
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PDF
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On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations
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2001
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Espen R. Jakobsen
Kenneth H. Karlsen
Nils Henrik Risebro
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A Strongly Degenerate Convection-diffusion Problem Modeling Centrifugation of Flocculated Suspensions
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2001
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Raimund Bürger
Kenneth H. Karlsen
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None
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2001
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Vidar Haugse
Kenneth H. Karlsen
Knut–Andreas Lie
Jostein R. Natvig
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On the Convergence Rate ofOperator Splitting for Hamilton--Jacobi Equations with Source Terms
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2001
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Espen R. Jakobsen
Kenneth H. Karlsen
Nils Henrik Risebro
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A Continuous Dependence Result for Nonlinear Degenerate Parabolic Equations with Spatially Dependent Flux Function
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2001
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Steinar Evje
Kenneth H. Karlsen
Nils Henrik Risebro
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Operator Splitting for Convection-Dominated Nonlinear Partial Differential Equations
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2001
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Helge Holden
Kenneth H. Karlsen
Knut–Andreas Lie
Nils Henrik Risebro
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A Hybrid Primitive-Conservative Upwind Scheme for the Drift Flux Model
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2001
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Kjell Kåre Fjelde
Kenneth H. Karlsen
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Numerical methods for the simulation of the settling of flocculated suspensions
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2000
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Raimund Bürger
Steinar Evje
Kenneth H. Karlsen
Knut–Andreas Lie
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PDF
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Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations
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2000
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Steinar Evje
Kenneth H. Karlsen
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On Strongly Degenerate Convection–Diffusion Problems Modeling Sedimentation–Consolidation Processes
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2000
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Raimund Bürger
Steinar Evje
Kenneth H. Karlsen
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Front Tracking and Operator Splitting for Nonlinear Degenerate Convection-Diffusion Equations
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2000
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Steinar Evje
Kenneth H. Karlsen
Knut–Andreas Lie
Nils Henrik Risebro
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+
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Corrected Operator Splitting for Nonlinear Parabolic Equations
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2000
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Kenneth H. Karlsen
Nils Henrik Risebro
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+
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Monotone Difference Approximations Of <i>BV</i> Solutions To Degenerate Convection-Diffusion Equations
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2000
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Steinar Evje
Kenneth H. Karlsen
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Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations
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1999
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Steinar Evje
Kenneth H. Karlsen
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Operator Splitting Methods for Generalized Korteweg–De Vries Equations
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1999
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Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
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PDF
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Degenerate Convection-Diffusion Equations and Implicit Monotone Difference Schemes
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1999
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Steinar Evje
Kenneth H. Karlsen
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A Front Tracking Method for Conservation Laws with Boundary Conditions
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1999
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Kenneth H. Karlsen
Knut–Andreas Lie
Nils Henrik Risebro
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+
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None
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1998
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Kari Brusdal
Håkon Dahle
Kenneth H. Karlsen
Trond Mannseth
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An operator splitting method for nonlinear convection-diffusion equations
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1997
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Kenneth H. Karlsen
Nils Henrik Risebro
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A Note on Viscous Splitting of Degenerate Convection-Diffusion Equations
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1997
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Steinar Evje
Kenneth H. Karlsen
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