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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.

Professional activities

Professional activities

  • Associate editor of Journal of Computational Physics (JCP), Elsevier
  • Associate editor of BIT Numerical Mathematics, Springer Verlag

Affiliations

  • Senior Visiting Fellow, Center for Turbulence Research, Stanford University, USA, 2005-2007
  • 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, 2018-2023
  • Distinguished Visiting Professor, Department of Mathematics and Applied Mathematics, University of Johannesburg, South Africa, 2020-2025
  • Honorary Professor, Department of Mechanical Engineering, Faculty of Engineering and the Built Environment, University of Cape Town, South Africa, 2025-2030
  • Distinguished Visiting Professor, Department of Mathematics and Applied Mathematics, University of Johannesburg, South Africa, 2025-2030

Research networks

  • Member of Academy of Science of South Africa (ASSAf)
  • Member of SAMS (South African Mathematical Society)

Teaching

  • Project course in computational mathematics, 12 hp, autumn 2024, Link枚ping University
  • Project course in computational mathematics, 12 hp, autumn 2023, Link枚ping University
  • Combining Partial Differential Equations, Machine Learning and Measurements for Increased Prediction Capability, 3 hp, autumn 2019, Link枚ping University
  • Numerical Solution of Initial Boundary Value Problems (MAI0122), 3 hp, autumn 2017, Link枚ping University, and University of Cape Town, South Africa
  • Stochastic Galerkin Methods for Partial Differential Equations (MAI0129), 5 hp, spring 2016, Link枚ping University
  • Selected articles on well posed problems and numerical approximation, 5 hp, autumn 2014, Link枚ping University
  • Numerical Solution of Initial Boundary Value Problems (MAI0122), 3 hp, autumn 2013, Link枚ping 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, Link枚ping 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

MAI researcher elected to Academy of Science of South Africa

Professor Emeritus Jan Nordström, at the Department of Mathematics (MAI), has been elected to membership of the Academy of Science of South Africa (ASSAf).
Three students walking in Campus Valla

International four-way collaboration ready to start

An unique four-way collaboration project will enable 21 Students from 91视频 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 91视频 have been awarded 64 million Swedish kronor in the form of research grants from the Swedish Research Council.

Former PhD students

  • . Thesis title: Summation-by-parts formulations for flow problems 2017-2022.
  • . Thesis title: Applications of summation-by-parts operators 2016-2021. .
  • . Thesis title: Eigenvalue analysis and convergence acceleration techniques for summation-by-parts approximations, 2014-2019. .
  • . Thesis title: Stability, dual consistency and conservation of summation-by-parts formulations for multiphysics problems, 2014-2019. .
  • . Thesis title: Uncertainty quantification for wave propagation and flow problems with random data, 2013-2018. .
  • . Thesis title: Error analysis of summation-by-parts formulations: Dispersion, transmission and accuracy, 2012-2017. .
  • . Thesis title: High order summation-by-parts based approximations for discontinuous and nonlinear problems, 2012-2017. .
  • . Thesis title: High-order finite difference approximations for hyperbolic problems: multiple penalties and non-reflecting boundary conditions, 2012-2017. .
  • . Thesis title: Numerical methods for wave propagation in solids containing faults and fluid-filled fractures, (jointly with Eric Dunham Stanford University), 2011-2016. .
  • . Thesis title: Stable High Order Finite Difference Methods for Wave Propagation and Flow Problems on Deforming Domains, 2011-2016. .
  • . Thesis title: High order summation-by-parts methods in time and space, 2011-2016. .
  • . Thesis title: Uncertainty Quantification and Numerical Methods for Conservation Laws, (jointly with Gianluca Iaccarino, Stanford University), 2008-2013. and .
  • . Thesis title: Stable and High-Order Finite Difference Methods for Multiphysics Flow Problems, 2008-2013. .
  • . Thesis title: Perfectly Matched Layers and High Order Difference Methods for Wave Equations, (Gunilla Kreiss, Uppsala University, 1st advisor), 2007-2012. .
  • . Thesis title: Stable Numerical Methods with Boundary and Interface Treatment for Applications in Aerodynamics, 2007-2012. .
  • . Thesis title (Lic): A Vertex-Centered Discontinuous Galerkin Method for Flow Problems, (Martin Berggren, Ume氓 University, 1st advisor), 2006-2016. .
  • . Thesis title: Weak Boundary and Interface Procedures for Wave and Flow Problems, 2006-2011. .
  • . Thesis title: Hybrid Methods for Unsteady Fluid Flow Problems in Complex Geometries, 2003-2007. .
  • . Thesis title: Stable High Order Finite Difference Methods for Aerodynamics, 1999-2004. .
  • . Thesis title: Summation-by-Parts Operators for High Order Finite Difference Methods, 1997-2003. .

Former postdoc

. Project: , 2011-2014.

Publications

2025

Charis Harley, Ebrahim Momoniat, Jan Nordström (2025) Journal of Scientific Computing, Vol. 103, Article 29 (Article in journal)
Jan Nordström (2025) Journal of Computational Physics, Vol. 530, Article 113909 (Article in journal)
Alexander Rothkopf, W.A. Horowitz, Jan Nordström (2025) Journal of Computational Physics, Vol. 524, Article 113686 (Article in journal)
Jan Nordström, Arnaud G. Malan (2025) Journal of Computational Physics, Vol. 523, Article 113685 (Article in journal)
David A. Kopriva, Andrew Ross Winters, Jan Nordström (2025) Journal of Computational Physics, Vol. 520, Article 113508 (Article in journal)

2024

Craig Law, Jan Nordström (2024) R & D Journal, Vol. 40, p. 10-16 (Article, review/survey)
Jan Nordström, H. Collis, R. Brown, M. P. Nchupang, S. Mirjalili (2024) Proceedings of the Summer Program 2024 (Conference paper)
Craig Law, Jan Nordström (2024) Proceeding of the 13th South African Conference on Computational and Applied Mechanics, SACAM 2024, p. 131-141 (Conference paper)
Oskar Ålund, Yukinao Akamatsu, Fredrik Laurén, Takahiro Miura, Jan Nordström, Alexander Rothkopf (2024) Journal of Computational Physics, Vol. 519, Article 113517 (Article in journal)
Alexander Rothkopf, Will Horowitz, Jan Nordström (2024) The 41st International Symposium on Lattice Field Theory (LATTICE2024) (Conference paper)
Jan Nordström, Fredrik Laurén, Oskar Ålund (2024) AIMS Mathematics, Vol. 9, p. 23291-23312 (Article in journal)
Jan Nordström (2024) Journal of Computational Physics, Vol. 512, Article 113145 (Article in journal)
Alexander Rothkopf, Jan Nordström (2024) Journal of Computational Physics, Vol. 511, Article 113138 (Article in journal)
Jan Nordström (2024) Journal of Computational Physics, Vol. 505, Article 112891 (Article in journal)
Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner (2024) Journal of Computational Physics, Vol. 504, Article 112889 (Article in journal)
Viktor Linders, Mark H. Carpenter, Jan Nordström (2024) Journal of Computational Physics, Vol. 501, Article 112794 (Article in journal)
Jan Glaubitz, Jan Nordström, Philipp Öffner (2024) Journal of Scientific Computing, Vol. 98, Article 30 (Article in journal)
Tomas Lundquist, Andrew Ross Winters, Jan Nordström (2024) Journal of Computational Physics, Vol. 498, Article 112699 (Article in journal)
Alexander Rothkopf, Jan Nordström (2024) Journal of Computational Physics, Vol. 498, Article 112652 (Article in journal)
Jan Nordström (2024) Journal of Computational Physics, Vol. 498, Article 112685 (Article in journal)

2023

Jan Glaubitz, Jan Nordström, Philipp Öffner (2023) SIAM Journal on Numerical Analysis, Vol. 61, p. 733-754 (Article in journal)
Byron A. Jacobs, Fredrik Laurén, Jan Nordström (2023) BIT Numerical Mathematics, Vol. 63, Article 17 (Article in journal)
Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner (2023) Journal of Computational Physics, Vol. 491, Article 112370 (Article in journal)
Irvy M. A. Gledhill, Hamed Roohani, Karl Forsberg, Peter Eliasson, Beric W. Skews, Jan Nordström (2023) Theoretical and Computational Fluid Dynamics, Vol. 37, p. 129-129 (Article in journal)
Remi Abgrall, Jan Nordström, Philipp Öffner, Svetlana Tokareva (2023) Communications on Applied Mathematics and Computation, Vol. 5, p. 573-595 (Article in journal)
Alexander Rothkopf, Jan Nordström (2023) Journal of Computational Physics, Vol. 477, Article 111942 (Article in journal)
Tomas Lundquist, Arnaud G. Malan, Jan Nordström (2023) SIAM Journal on Numerical Analysis, Vol. 61, p. 2327-2351 (Article in journal)
Mojalefa P. Nchupang, Arnaud G. Malan, Fredrik Laurén, Jan Nordström (2023) Computers & Fluids, Vol. 267, Article 106073 (Article in journal)

2022

David A. Kopriva, Gregor J. Gassner, Jan Nordström (2022) Journal of Computational Physics, Vol. 471, Article 111620 (Article in journal)
Jan Nordström (2022) Journal of Computational Physics, Vol. 470, Article 111573 (Article in journal)

Organisation

Fractal Plant

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.
Illustrative picture representing mathematics

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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