H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 36 Citations 5,886 183 World Ranking 1367 National Ranking 13
Engineering and Technology D-index 34 Citations 5,190 153 World Ranking 3862 National Ranking 42

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Geometry

Mathematical analysis, Boundary value problem, Finite difference method, Finite difference and Computational mathematics are his primary areas of study. The various areas that Jan Nordström examines in his Mathematical analysis study include Navier–Stokes equations and Nonlinear system. His work carried out in the field of Boundary value problem brings together such families of science as Hyperbolic partial differential equation, Partial differential equation, Boundary and Linear stability.

His Finite difference method study combines topics from a wide range of disciplines, such as Curvilinear coordinates, Euler's formula and Euler equations. His study in Finite difference is interdisciplinary in nature, drawing from both Pointwise and Finite difference coefficient. Jan Nordström focuses mostly in the field of Computational mathematics, narrowing it down to matters related to Mathematical optimization and, in some cases, Applied mathematics, Order of accuracy and Point.

His most cited work include:

  • A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy (432 citations)
  • Summation by parts operators for finite difference approximations of second derivatives (284 citations)
  • Review of summation-by-parts schemes for initial–boundary-value problems (258 citations)

What are the main themes of his work throughout his whole career to date?

Jan Nordström mostly deals with Mathematical analysis, Computational mathematics, Boundary value problem, Applied mathematics and Summation by parts. His studies deal with areas such as Navier–Stokes equations and Nonlinear system as well as Mathematical analysis. He has researched Computational mathematics in several fields, including Stability, Coupling, Mathematical optimization and Vortex.

His studies link Boundary with Boundary value problem. His study in the field of Dual consistency is also linked to topics like Projection method. His Finite difference method research is multidisciplinary, incorporating elements of Euler equations, Numerical stability, Order of accuracy, Finite difference coefficient and Finite volume method.

He most often published in these fields:

  • Mathematical analysis (50.51%)
  • Computational mathematics (49.15%)
  • Boundary value problem (42.66%)

What were the highlights of his more recent work (between 2018-2021)?

  • Applied mathematics (39.93%)
  • Boundary value problem (42.66%)
  • Summation by parts (31.40%)

In recent papers he was focusing on the following fields of study:

Jan Nordström focuses on Applied mathematics, Boundary value problem, Summation by parts, Computational mathematics and Finite difference. His research integrates issues of Simple, Conservation law, Finite difference method and Discretization in his study of Applied mathematics. His research on Boundary value problem concerns the broader Mathematical analysis.

His research in Summation by parts tackles topics such as Differential equation which are related to areas like Conjecture. The Computational mathematics study combines topics in areas such as Stability, Operator, Coupling and Flow. His Finite difference research is multidisciplinary, incorporating perspectives in Grid, Computational fluid dynamics and Interpolation.

Between 2018 and 2021, his most popular works were:

  • On the convergence rates of energy-stable finite-difference schemes (13 citations)
  • Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability (6 citations)
  • Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability (6 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Geometry

His primary areas of investigation include Applied mathematics, Boundary value problem, Computational mathematics, Summation by parts and Finite difference. His research in Applied mathematics intersects with topics in Discretization, Simple, Curvilinear coordinates and Differential equation. Jan Nordström interconnects Finite element method and Galerkin method in the investigation of issues within Boundary value problem.

His Computational mathematics study incorporates themes from Energy stability, Energy method and Laplace transform. His Summation by parts study improves the overall literature in Mathematical analysis. His work deals with themes such as Grid, Invariant and Finite difference method, which intersect with Finite difference.

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.

Best Publications

A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy

Mark H Carpenter;Jan Nordström;David Gottlieb.
Journal of Computational Physics (1999)

477 Citations

Summation by parts operators for finite difference approximations of second derivatives

Ken Mattsson;Jan Nordström.
Journal of Computational Physics (2004)

363 Citations

Review of summation-by-parts schemes for initial–boundary-value problems

Magnus Svärd;Jan Nordström.
Journal of Computational Physics (2014)

327 Citations

A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions

Magnus Svärd;Mark H. Carpenter;Jan Nordström.
Journal of Computational Physics (2007)

218 Citations

On the order of accuracy for difference approximations of initial-boundary value problems

Magnus Svärd;Jan Nordström.
Journal of Computational Physics (2006)

209 Citations

A stable high-order finite difference scheme for the compressible Navier-Stokes equations

Magnus Svärd;Jan Nordström.
Journal of Computational Physics (2008)

206 Citations

Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations

Jan Nordström;Mark H Carpenter.
Journal of Computational Physics (1999)

193 Citations

The Fringe Region Technique and the Fourier Method Used in the Direct Numerical Simulation of Spatially Evolving Viscous Flows

Jan Nordström;Niklas Nordin;Dan Henningson.
SIAM Journal on Scientific Computing (1999)

192 Citations

Stable and Accurate Artificial Dissipation

Ken Mattsson;Magnus Svärd;Jan Nordström.
Journal of Scientific Computing (2004)

174 Citations

High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates

Jan Nordström;Mark H. Carpenter.
Journal of Computational Physics (2001)

168 Citations

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