2022 - Research.com Mathematics in Norway Leader Award
Member of the Norwegian Academy of Science and Letters Mathematics
Mathematical analysis, Uniqueness, Nonlinear system, Conservation law and Weak solution are his primary areas of study. His study on Mathematical analysis is mostly dedicated to connecting different topics, such as Rate of convergence. Kenneth H. Karlsen combines subjects such as Anisotropic diffusion, Compressibility, Polytropic process, Differential equation and Lipschitz continuity with his study of Uniqueness.
The Nonlinear system study combines topics in areas such as Law, Continuous-time stochastic process and Equicontinuity. Kenneth H. Karlsen interconnects Numerical analysis, Uniqueness theorem for Poisson's equation, Compact space and Piecewise in the investigation of issues within Conservation law. The various areas that Kenneth H. Karlsen examines in his Weak solution study include Semigroup, Burgers' equation, Convection and Camassa–Holm equation.
His primary areas of investigation include Mathematical analysis, Conservation law, Nonlinear system, Uniqueness and Numerical analysis. His work in Weak solution, Initial value problem, Parabolic partial differential equation, Convection–diffusion equation and Finite difference method are all subfields of Mathematical analysis research. His Finite difference method research incorporates themes from Upwind scheme and Finite difference.
As a member of one scientific family, Kenneth H. Karlsen mostly works in the field of Conservation law, focusing on Applied mathematics and, on occasion, Monotone polygon. His biological study deals with issues like Viscosity solution, which deal with fields such as Bellman equation. His work focuses on many connections between Uniqueness and other disciplines, such as Compact space, that overlap with his field of interest in Finite volume method.
Kenneth H. Karlsen spends much of his time researching Conservation law, Applied mathematics, Mathematical analysis, Rate of convergence and Uniqueness. His studies deal with areas such as Differentiable function, Numerical analysis, Scalar and Regular polygon as well as Conservation law. He has researched Applied mathematics in several fields, including Boundary value problem and Compact space.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Flow and Dispersion. Within one scientific family, he focuses on topics pertaining to Kinetic energy under Rate of convergence, and may sometimes address concerns connected to Finite volume method. His Finite difference method study also includes
His main research concerns Conservation law, Mathematical analysis, Applied mathematics, Uniqueness and Entropy. His Conservation law research integrates issues from Rough path, Piecewise linear function, Scalar and Regular polygon. Kenneth H. Karlsen regularly links together related areas like Nonlinear evolution in his Mathematical analysis studies.
His Applied mathematics research includes elements of Differentiable function, Compact space and Camassa–Holm equation. His Uniqueness study integrates concerns from other disciplines, such as Initial value problem, Kondratiev wave, Boundary value problem and Godunov's scheme. His work deals with themes such as Finite difference, Monotone polygon, Kinetic energy and Nonlinear system, which intersect with Finite difference method.
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On the well-posedness of the Degasperis-Procesi equation
Giuseppe M. Coclite;Kenneth H. Karlsen.
Journal of Functional Analysis (2006)
Splitting methods for partial differential equations with rough solutions : analysis and MATLAB programs
Helge Holden;Kenneth Hvistendahl Karlsen;Knut-Andreas Lie;Nils Henrik Risebro.
L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
Kenneth H. Karlsen;Nils Henrik Risebro;John D. Towers.
Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
Elmer M. Tory;Kenneth H. Karlsen;Raimund Bürger;Stefan Berres.
Siam Journal on Applied Mathematics (2003)
A Theory of L 1 -Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux
Boris Andreianov;Kenneth Hvistendahl Karlsen;Nils Henrik Risebro.
Archive for Rational Mechanics and Analysis (2011)
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
Kenneth Hvistendahl Karlsen;Nils Henrik Risebro.
Discrete and Continuous Dynamical Systems (2003)
Global weak solutions to a generalized hyperelastic-rod wave equation
Giuseppe Maria Coclite;Helge Holden;Kenneth H. Karlsen.
Siam Journal on Mathematical Analysis (2005)
CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX
Kenneth H. Karlsen;John D. Towers.
Chinese Annals of Mathematics (2004)
Upwind difference approximations for degenerate parabolic convection–diffusion equations with a discontinuous coefficient
K. H. Karlsen;N. H. Risebro;J. D. Towers.
Ima Journal of Numerical Analysis (2002)
Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units
R. Bürger;K. H. Karlsen;N. H Risebro;J. D. Towers.
Numerische Mathematik (2004)
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