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- Nils Henrik Risebro

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
5,395
139
World Ranking
2031
National Ranking
11

Member of the Norwegian Academy of Science and Letters Mathematics

- Mathematical analysis
- Partial differential equation
- Geometry

Nils Henrik Risebro mostly deals with Mathematical analysis, Conservation law, Initial value problem, Nonlinear system and Numerical analysis. His studies in Convection–diffusion equation, Uniqueness, Space, Finite difference method and Partial differential equation are all subfields of Mathematical analysis research. His studies in Uniqueness integrate themes in fields like Parabolic cylinder function, Scalar field, Lipschitz continuity and Regular polygon.

He has included themes like Riemann problem and Uniqueness theorem for Poisson's equation in his Conservation law study. His work investigates the relationship between Initial value problem and topics such as Scalar that intersect with problems in Limit of a sequence and Compact space. Nils Henrik Risebro has researched Numerical analysis in several fields, including Strang splitting, Operator splitting and Mathematical physics.

- Front Tracking for Hyperbolic Conservation Laws (344 citations)
- A mathematical model of traffic flow on a network of unidirectional roads (215 citations)
- Solution of the Cauchy problem for a conservation law with a discontinuous flux function (136 citations)

Nils Henrik Risebro mainly investigates Mathematical analysis, Conservation law, Weak solution, Initial value problem and Applied mathematics. His Mathematical analysis study frequently draws connections between adjacent fields such as Nonlinear system. His Conservation law research is multidisciplinary, incorporating elements of Numerical analysis, Riemann problem, Scalar and Finite volume method.

His Weak solution study combines topics in areas such as Cauchy problem, Korteweg–de Vries equation and Divergence. His Initial value problem research incorporates elements of Parabolic partial differential equation, Compact space, Hamilton–Jacobi equation, Hyperbolic partial differential equation and Well posedness. His work carried out in the field of Applied mathematics brings together such families of science as Scheme and Mathematical optimization.

- Mathematical analysis (62.42%)
- Conservation law (51.52%)
- Weak solution (22.42%)

- Conservation law (51.52%)
- Mathematical analysis (62.42%)
- Applied mathematics (21.21%)

Nils Henrik Risebro mainly focuses on Conservation law, Mathematical analysis, Applied mathematics, Weak solution and Finite volume method. The various areas that Nils Henrik Risebro examines in his Conservation law study include State variable, Numerical analysis, Scalar and Lipschitz continuity. His work in Mathematical analysis is not limited to one particular discipline; it also encompasses Nonlinear system.

His Applied mathematics research integrates issues from Initial value problem and Mathematical optimization. The concepts of his Initial value problem study are interwoven with issues in Compact space and Uniqueness. His Weak solution study incorporates themes from Korteweg–de Vries equation, Cauchy problem, Cauchy's integral theorem, Cauchy's integral formula and Finite difference scheme.

- Numerical Solution of Scalar Conservation Laws with Random Flux Functions (31 citations)
- A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain (16 citations)
- Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation (16 citations)

- Mathematical analysis
- Partial differential equation
- Geometry

His primary scientific interests are in Mathematical analysis, Conservation law, Finite difference method, Convection–diffusion equation and Applied mathematics. Nils Henrik Risebro interconnects Modes of convergence, Convergence tests and Compact convergence in the investigation of issues within Mathematical analysis. His research integrates issues of State variable, Statistical physics, Bounded function, Scalar and Numerical analysis in his study of Conservation law.

The Scalar study combines topics in areas such as Initial value problem, Inverse problem, Piecewise and Mathematical physics. Nils Henrik Risebro has researched Finite difference method in several fields, including Partial differential equation, Grid size, Monotone polygon and Nonlinear system. His Convection–diffusion equation study integrates concerns from other disciplines, such as Rate of convergence and Kinetic energy.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Front Tracking for Hyperbolic Conservation Laws

Helge Holden;Nils Henrik Risebro.

**(2002)**

663 Citations

Front Tracking for Hyperbolic Conservation Laws

Helge Holden;Nils Henrik Risebro.

**(2002)**

663 Citations

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

Helge Holden;Nils Henrik Risebro.

Siam Journal on Mathematical Analysis **(1995)**

343 Citations

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

Helge Holden;Nils Henrik Risebro.

Siam Journal on Mathematical Analysis **(1995)**

343 Citations

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

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

**(2010)**

231 Citations

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

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

**(2010)**

231 Citations

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

Tore Gimse;Nils Henrik Risebro.

Siam Journal on Mathematical Analysis **(1992)**

214 Citations

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

Tore Gimse;Nils Henrik Risebro.

Siam Journal on Mathematical Analysis **(1992)**

214 Citations

L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

Kenneth H. Karlsen;Nils Henrik Risebro;John D. Towers.

**(2003)**

208 Citations

L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

Kenneth H. Karlsen;Nils Henrik Risebro;John D. Towers.

**(2003)**

208 Citations

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