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Jan Nordström

Professor Emeritus

Time-dependent partial differential equations

I develop numerical methodology for multi-physics applications governed by partial differential equations. My main interest is in initial boundary value problems, and in particular the fundamental effect of boundary and interface conditions on well-posedness and stability.

Find me on ResearchGate

Professional activities

Professional activities

  • Associate editor of Journal of Computational Physics (JCP), Elsevier
  • Associate editor of BIT Numerical Mathematics, Springer Verlag
  • Distinguished Visiting Professor, Department of Mathematics and Applied Mathematics, University of Johannesburg, South Africa

Affiliations

  • Senior Research Fellow, Center for Turbulence Research, Stanford University, USA, 2009-2010
  • Honorary Professor, School of Computational and Applied Mathematics, University of the Witwatersrand, South Africa, 2010-2013
  • Honorary Professor, Department of Mechanical Engineering, Faculty of Engineering and the Built Environment, University of Cape Town, South Africa, 2018-

Research networks

  • Partner in the FP7 project UMRIDA (the European Union's Seventh Framework Programme, Uncertainty Management for Robust Industrial Design in Aeronautics)
  • Partner in the VINNOVA (Sweden's innovation agency) project MIAU
  • Member in SIAM (Society for Industrial and Applied Mathematics) and AIAA (The American Institute of Aeronautics and Astronautics)

Teaching

  • Combining Partial Differential Equations, Machine Learning and Measurements for Increased Prediction Capability, 3 hp, autumn 2019, Linköping University
  • Numerical Solution of Initial Boundary Value Problems (MAI0122), 3 hp, autumn 2017, Linköping University, and University of Cape Town, South Africa
  • Stochastic Galerkin Methods for Partial Differential Equations (MAI0129), 5 hp, spring 2016, Linköping University
  • Selected articles on well posed problems and numerical approximation, 5 hp, autumn 2014, Linköping University
  • Numerical Solution of Initial Boundary Value Problems (MAI0122), 3 hp, autumn 2013, Linköping University
  • Short course: Numerical Methods for Initial Boundary Value Problems, spring 2013, Council for Scientific and Industrial Research (CSIR) in South Africa
  • Numerical Methods for Initial Boundary Value Problems (MAI0106), autumn 2011, Linköping University
  • Numerical Methods for Initial Boundary Value Problems (CME 326), spring 2011, Stanford University
  • Numerical Methods for Initial Boundary Value Problems (CME 326), winter 2009, Stanford University 

CV

Research

Numerical Solutions of Time-Dependent Partial Differential Equations

Well-posedness of the governing partial differential equations lead to effective and accurate numerical methods for the analysis of physical processes in science and engineering.

News

Three students walking in Campus Valla

International four-way collaboration ready to start

An unique four-way collaboration project will enable 21 Students from Linköping University and 21 Washington State University to participate in an innovative exchange and research programme in engineering science and scientific computation.
Per Eklund in the lab.

64 million SEK for research in the natural sciences and technology

Seventeen researchers working in technology and the natural sciences at Linköping University have been awarded 64 million Swedish kronor in the form of research grants from the Swedish Research Council.

Former PhD students

Former postdoc

Marco Kupiainen. Project: IDIHOM, InDustrIalisation of Higher Order Methods, 2011-2014. 

Publications

Publication list for Jan Nordström

2024

Alexander Rothkopf, Jan Nordström (2024) A symmetry and Noether charge preserving discretization of initial value problems Journal of Computational Physics, Vol. 498, Article 112652 Continue to DOI
Jan Nordström (2024) Nonlinear Boundary Conditions for Initial Boundary Value Problems with Applications in Computational Fluid Dynamics Journal of Computational Physics, Vol. 498, Article 112685 Continue to DOI

2023

Tomas Lundquist, Arnaud G. Malan, Jan Nordström (2023) A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian-Eulerian Methods SIAM Journal on Numerical Analysis, Vol. 61, p. 2327-2351 Continue to DOI
Mojalefa P. Nchupang, Arnaud G. Malan, Fredrik Laurén, Jan Nordström (2023) A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations Computers & Fluids, Vol. 267, Article 106073 Continue to DOI
Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner (2023) Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction Journal of Computational Physics, Vol. 491, Article 112370 Continue to DOI
Remi Abgrall, Jan Nordström, Philipp Öffner, Svetlana Tokareva (2023) Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability Communications on Applied Mathematics and Computation, Vol. 5, p. 573-595 Continue to DOI
Jan Glaubitz, Jan Nordström, Philipp Öffner (2023) Summation-by-Parts Operators for General Function Spaces SIAM Journal on Numerical Analysis, Vol. 61, p. 733-754 Continue to DOI
Irvy M. A. Gledhill, Hamed Roohani, Karl Forsberg, Peter Eliasson, Beric W. Skews, Jan Nordström (2023) Correction: Theoretical treatment of fluid flow for accelerating bodies (vol 30, pg 449, 2016) Theoretical and Computational Fluid Dynamics, Vol. 37, p. 129-129 Continue to DOI
Byron A. Jacobs, Fredrik Laurén, Jan Nordström (2023) On the order reduction of approximations of fractional derivatives: an explanation and a cure BIT Numerical Mathematics, Vol. 63, Article 17 Continue to DOI
Alexander Rothkopf, Jan Nordström (2023) A new variational discretization technique for initial value problems bypassing governing equations Journal of Computational Physics, Vol. 477, Article 111942 Continue to DOI

2022

David A. Kopriva, Gregor J. Gassner, Jan Nordström (2022) On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws Journal of Computational Physics, Vol. 471, Article 111620 Continue to DOI
Jan Nordström (2022) A skew-symmetric energy and entropy stable formulation of the compressible Euler equations Journal of Computational Physics, Vol. 470, Article 111573 Continue to DOI
S. Hadi Shamsnia, Sarmad Ghader, S. Abbas Haghshenas, Jan Nordström (2022) A comparative study of two different shallow water formulations using stable summation by parts schemes Wave motion, Vol. 114, Article 103043 Continue to DOI
Jan Nordström, Fredrik Laurén (2022) A stable and conservative nonlinear interface coupling for the incompressible Euler equations Applied Mathematics Letters, Vol. 132, Article 108171 Continue to DOI
Tomas Lundquist, Fredrik Laurén, Jan Nordström (2022) A multi-domain summation-by-parts formulation for complex geometries Journal of Computational Physics, Vol. 463, Article 111269 Continue to DOI
Jan Nordström, Andrew Ross Winters (2022) A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions Journal of Computational Physics, Vol. 463, Article 111254 Continue to DOI
Fredrik Laurén, Jan Nordström (2022) Energy stable wall modeling for the Navier-Stokes equations Journal of Computational Physics, Vol. 457, Article 111046 Continue to DOI
Jan Nordström (2022) Nonlinear and linearised primal and dual initial boundary value problems: When are they bounded? How are they connected? Journal of Computational Physics, Vol. 455, Article 111001 Continue to DOI
Ossian O'Reilly, Jan Nordström (2022) Provably non-stiff implementation of weak coupling conditions for hyperbolic problems Numerische Mathematik, Vol. 150, p. 551-589 Continue to DOI
David A. Kopriva, Jan Nordström, Gregor J. Gassner (2022) On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation Journal of Computational Physics, Vol. 448, Article 110732 Continue to DOI
Markus Wahlsten, Oskar Ålund, Jan Nordström (2022) An efficient hybrid method for uncertainty quantification BIT Numerical Mathematics, Vol. 62, p. 607-629 Continue to DOI

2021

David A. Kopriva, Gregor J. Gassner, Jan Nordström (2021) Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps Journal of Scientific Computing, Vol. 88, Article 3 Continue to DOI
Hendrik Ranocha, Jan Nordström (2021) A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions Journal of Scientific Computing, Vol. 87, Article 33 Continue to DOI
Vikram Singh, Steven Frankel, Jan Nordström (2021) Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations Computers & Fluids, Vol. 220, Article 104870 Continue to DOI
Jan Nordström, Andrew Ross Winters (2021) Stable Filtering Procedures for Nodal Discontinuous Galerkin Methods Journal of Scientific Computing, Vol. 87 Continue to DOI
Tomas Lundquist, Jan Nordström, Arnaud Malan (2021) Stable Dynamical Adaptive Mesh Refinement Journal of Scientific Computing, Vol. 86, Article 43 Continue to DOI
Fredrik Laurén, Jan Nordström (2021) Spectral properties of the incompressible Navier-Stokes equations Journal of Computational Physics, Vol. 429, Article 110019 Continue to DOI
Magnus Svärd, Jan Nordström (2021) Convergence of energy stable finite-difference schemes with interfaces Journal of Computational Physics, Vol. 429, Article 110020 Continue to DOI
Oskar Ålund, Yukinao Akamatsu, Fredrik Laurén, Takahiro Miura, Jan Nordström, Alexander Rothkopf (2021) Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator Journal of Computational Physics, Vol. 425, Article 109917 Continue to DOI
Jan Nordström, Oskar Ålund (2021) Neural network enhanced computations on coarse grids Journal of Computational Physics, Vol. 425, Article 109821 Continue to DOI

Organisation

Mandelbrot set.

Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.
Dices lying on paper on stock market prices.

Applied Mathematics (TIMA)

Applied mathematics is used to study advanced methods for modeling in technology as well as natural and social sciences. The division conducts research in computational mathematics, mathematical statistics and optimization.

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