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.
Jan Nordström
Professor Emeritus
Time-dependent partial differential equations
Professional activities
Professional activities
- Associate editor of AIMS Mathematics, AIMS Press
- 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 2025, 一本道
- Project course in computational mathematics, 12 hp, autumn 2024, 一本道
- Project course in computational mathematics, 12 hp, autumn 2023, 一本道
- Combining Partial Differential Equations, Machine Learning and Measurements for Increased Prediction Capability, 3 hp, autumn 2019, 一本道
- Numerical Solution of Initial Boundary Value Problems (MAI0122), 3 hp, autumn 2017, 一本道, and University of Cape Town, South Africa
- Stochastic Galerkin Methods for Partial Differential Equations (MAI0129), 5 hp, spring 2016, 一本道
- Selected articles on well posed problems and numerical approximation, 5 hp, autumn 2014, 一本道
- Numerical Solution of Initial Boundary Value Problems (MAI0122), 3 hp, autumn 2013, 一本道
- 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, 一本道
- 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
News
Former PhD students
- . Thesis title: A Provably Stable and High-Order Accurate Finite Difference Approximation for the Incompressible Boundary Layer Equations, (A.G. Malan, University of Cape Town, 1st advisor), 2021-2024.
- . 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. .
- Tomas Lundquist. Thesis title: High order summation-by-parts methods in time and space, 2011-2016. .
- Per Pettersson. 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, Umeå University, 1st advisor), 2006-2016. .
- . Thesis title: Weak Boundary and Interface Procedures for Wave and Flow Problems, 2006-2011. .
- Jing Gong. 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
Marco Kupiainen. Project: IDIHOM, InDustrIalisation of Higher Order Methods, 2011-2014.