Inom mitt forskningsområde utvecklar vi numeriska beräkningsmetoder för multi-fysiktillämpningar styrda av partiella differentialekvationer. Vi studerar även inflytandet av osäkerhet i data och parametervärden på den numeriska lösningen och siktar på att kunna leverera ett svar med en viss given felmarginal.
Jan Nordström
Professor emeritus
Tidsberoende partiella differentialekvationer
Kortfattat CV
(In English)
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
Forskning
Nyheter
Tidigare doktorander
(In English)
- . 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.