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

News

Former PhD students

Former postdoc

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

Publications

2023

2022

2021

2020

Organisation