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Nils Henrik Risebro

Nils Henrik Risebro

D-Index & Metrics

Mathematics

D-Index
37
Citations
6079
World Ranking
2487
National Ranking
17

Research.com Recognitions

  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics

Overview

Nils Henrik Risebro is affiliated with the University of Oslo in Norway and has made contributions primarily in the fields of Engineering and Mathematics. Their research focuses on several subfields including Computational Mechanics, Applied Mathematics, Ocean Engineering, Control and Systems Engineering, and Transportation.

Their main research topics cover a range of areas: fluid dynamics and turbulent flows, traffic control and management, computational fluid dynamics and aerodynamics, transportation planning and optimization, Navier-Stokes equation solutions, reservoir engineering and simulation methods, and evacuation and crowd dynamics.

Recent publications by Nils Henrik Risebro demonstrate active involvement in numerical methods and traffic flow modeling. These include:

  • Well-posedness theory for nonlinear scalar conservation laws on networks (2021) in Networks and Heterogeneous Media
  • Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux (2021) in Duo Research Archive (University of Oslo)
  • A nonlocal Lagrangian traffic flow model and the zero-filter limit (2024) in Zeitschrift für angewandte Mathematik und Physik
  • Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks (2022) in SIAM Journal on Numerical Analysis
  • Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux (2021) in ESAIM Mathematical Modelling and Numerical Analysis

Their frequent coauthors include Giuseppe Maria Coclite, Kenneth H. Karlsen, Markus Musch, Ulrik Skre Fjordholm, and Helge Holden. Collaborations with these researchers cover multiple publications and indicate a sustained network within related mathematical and engineering fields.

Several publication venues are recurrent in Risebro's work, reflective of their interdisciplinary approach. These venues consist of arXiv (Cornell University), Networks and Heterogeneous Media, Duo Research Archive (University of Oslo), Zeitschrift für angewandte Mathematik und Physik, and the SIAM Journal on Numerical Analysis.

Nils Henrik Risebro has been recognized as a Member of the Norwegian Academy of Science and Letters in the field of Mathematics, which signifies their standing within the academic community.

Best Publications

  • Front Tracking for Hyperbolic Conservation Laws

    Helge Holden;Nils Henrik Risebro

  • A mathematical model of traffic flow on a network of unidirectional roads

    Helge Holden;Nils Henrik Risebro

  • Splitting methods for partial differential equations with rough solutions : analysis and MATLAB programs

    Helge Holden;Kenneth Hvistendahl Karlsen;Knut-Andreas Lie;Nils Henrik Risebro

  • A Theory of L 1 -Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux

    Boris Andreianov;Kenneth Hvistendahl Karlsen;Nils Henrik Risebro

  • Solution of the Cauchy problem for a conservation law with a discontinuous flux function

    Tore Gimse;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

  • On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients

    Kenneth Hvistendahl Karlsen;Nils Henrik Risebro

  • Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior

    Christian Klingenberg;Nils Henrik Risebro

  • A front-tracking alternative to the random choice method

    Nils Henrik Risebro

  • 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

  • Upwind difference approximations for degenerate parabolic convection–diffusion equations with a discontinuous coefficient

    K. H. Karlsen;N. H. Risebro;J. D. Towers

  • OPERATOR SPLITTING FOR THE KdV EQUATION

    Helge Holden;Kenneth H. Karlsen;Nils Henrik Risebro;Terence Tao

  • An operator splitting method for nonlinear convection-diffusion equations ?

    Kenneth Hvistendahl Karlsen;Nils Henrik Risebro

  • A New Front-Tracking Method for Reservoir Simulation

    Frode Bratvedt;Kyrre Bratvedt;C.F. Buchholz;Lars Holden

  • Operator splitting for partial differential equations with Burgers nonlinearity

    Helge Holden;Christian Lubich;Nils Henrik Risebro

  • ON UNIQUENESS AND EXISTENCE OF ENTROPY SOLUTIONS OF WEAKLY COUPLED SYSTEMS OF NONLINEAR DEGENERATE PARABOLIC EQUATIONS

    Helge Holden;Kenneth H. Karlsen;Nils H. Risebro

  • Operator Splitting Methods for Generalized Korteweg-De Vries Equations

    Helge Holden;Kenneth Hvistendahl Karlsen;Nils Henrik Risebro

  • Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients

    Kenneth Hvistendahl Karlsen;Nils Henrik Risebro

  • Conservation laws with a random source

    Helge Holden;Nils Henrik Risebro

  • ON A NONLINEAR DEGENERATE PARABOLIC TRANSPORT-DIFFUSION EQUATION WITH A DISCONTINUOUS COEFFICIENT

    Kenneth H. Karlsen;Nils H. Risebro

Frequent Co-Authors

Kenneth H. Karlsen
Kenneth H. Karlsen University of Oslo
Helge Holden
Helge Holden Norwegian University of Science and Technology
Christian Klingenberg
Christian Klingenberg University of Würzburg
Raimund Bürger
Raimund Bürger University of Concepción
Christian Lubich
Christian Lubich University of Tübingen
Terence Tao
Terence Tao University of California, Los Angeles
Rinaldo M. Colombo
Rinaldo M. Colombo University of Brescia
Kristian Seip
Kristian Seip Norwegian University of Science and Technology

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