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

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

CV Jan Nordström 2021 (PDF, 164,1 kB)

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

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.

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

Fredrik Laurén. Thesis title: Summation-by-parts formulations for flow problems 2017-2022. Link to thesis.
Oskar Ålund. Thesis title: Applications of summation-by-parts operators 2016-2021. Link to thesis.
Andrea Alessandro Ruggiu. Thesis title: Eigenvalue analysis and convergence acceleration techniques for summation-by-parts approximations, 2014-2019. Link to thesis.
Fatemeh Ghasemi Zinatabadi. Thesis title: Stability, dual consistency and conservation of summation-by-parts formulations for multiphysics problems, 2014-2019. Link to thesis.
Markus Wahlsten. Thesis title: Uncertainty quantification for wave propagation and flow problems with random data, 2013-2018. Link to thesis.
Viktor Linders. Thesis title: Error analysis of summation-by-parts formulations: Dispersion, transmission and accuracy, 2012-2017. Link to thesis.
Cristina La Cognata. Thesis title: High order summation-by-parts based approximations for discontinuous and nonlinear problems, 2012-2017. Link to thesis.
Hannes Frenander. Thesis title: High-order finite difference approximations for hyperbolic problems: multiple penalties and non-reflecting boundary conditions, 2012-2017. Link to thesis.
Ossian O'Reilly. Thesis title: Numerical methods for wave propagation in solids containing faults and fluid-filled fractures, (jointly with Eric Dunham Stanford University), 2011-2016. Link to thesis.
Samira Nikkar. Thesis title: Stable High Order Finite Difference Methods for Wave Propagation and Flow Problems on Deforming Domains, 2011-2016. Link to thesis.
Tomas Lundquist. Thesis title: High order summation-by-parts methods in time and space, 2011-2016. Link to thesis.
Per Pettersson. Thesis title: Uncertainty Quantification and Numerical Methods for Conservation Laws, (jointly with Gianluca Iaccarino, Stanford University), 2008-2013. Link to thesis at Uppsala University and Link to thesis at Stanford University.
Jens Berg. Thesis title: Stable and High-Order Finite Difference Methods for Multiphysics Flow Problems, 2008-2013. Link to thesis.
Kenneth Duru. Thesis title: Perfectly Matched Layers and High Order Difference Methods for Wave Equations, (Gunilla Kreiss, Uppsala University, 1st advisor), 2007-2012. Link to thesis.
Sofia Eriksson. Thesis title: Stable Numerical Methods with Boundary and Interface Treatment for Applications in Aerodynamics, 2007-2012. Link to thesis.
Sven-Erik Ekström. Thesis title (Lic): A Vertex-Centered Discontinuous Galerkin Method for Flow Problems, (Martin Berggren, Umeå University, 1st advisor), 2006-2016. Link to thesis.
Qaiser Abbas. Thesis title: Weak Boundary and Interface Procedures for Wave and Flow Problems, 2006-2011. Link to thesis.
Jing Gong. Thesis title: Hybrid Methods for Unsteady Fluid Flow Problems in Complex Geometries, 2003-2007. Link to thesis.
Magnus Svärd. Thesis title: Stable High Order Finite Difference Methods for Aerodynamics, 1999-2004. Link to thesis.
Ken Mattsson. Thesis title: Summation-by-Parts Operators for High Order Finite Difference Methods, 1997-2003. Link to thesis.

Former postdoc

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

Publications

Publication list for Jan Nordström

2023

2022

2021

2020

Organisation

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.

Jan Nordström

Professional activities

Professional activities

Affiliations

Research networks

Teaching

CV

Research

Numerical Solutions of Time-Dependent Partial Differential Equations

News

International four-way collaboration ready to start

64 million SEK for research in the natural sciences and technology

Former PhD students

Former postdoc

Publications

2023

2022

2021

2020

Organisation

Department of Mathematics (MAI)

Applied Mathematics (TIMA)

Tags

Share on