Time-dependent partial differential equations

In my research at Linköping University, we develop numerical methods for multi-physics applications governed by partial differential equations. We consider various kinds of uncertainties in the data or parameters of the problem and aim for a computational methodology that delivers an answer with error bars.

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Professional activities
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Professional activities

  • Head of Computational Mathematics at the Department of Mathematics
  • Member of the board of Linköping Institute of Technology (LiTH)
  • Member of the board of the National Supercomputer Centre in Sweden (NSC)
  • Associate editor of Journal of Computational Physics (JCP), Elsevier
  • Associate editor of BIT Numerical Mathematics, Springer Verlag

Affiliations

  • Senior Research Fellow, Center for Turbulence Research, Stanford University, USA, 2009 -
  • Honorary Professor, School of Computational and Applied Mathematics, University of the Witwatersrand, South Africa, 2010 -
  • 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
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Research
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News
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PhD students
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Former PhD students
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Former postdoc

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

Publications
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2019

2018

2017

Organisation
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