Research interests

Hyperbolic problems.

Uncertainty quantification: polynomial chaos methods, reduced-order representation

Boundary conditions and time-stability

Numerical methods for subsurface CO2 storage


Ph.D. Computational & Mathematical Engineering, Stanford University 2013

Ph.D. Scientific Computing - Numerical analysis, Uppsala University 2013

M.S. Sociotechnical Engineering, Uppsala University 2008.


CO2 Storage in the North Sea: Quantification of Uncertainties and Error Reduction (CONQUER)



  • M. P. Pettersson, G. Iaccarino, J. Nordström, Polynomial Chaos Methods for Hyperbolic Partial Differential Equations: Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties, Springer International Publishing, ISBN 978-3-319-10714-1, 2015.

  • Peer-reviewed Journal Articles

  • P. Pettersson, A. Doostan, J. Nordström, Level set methods for stochastic discontinuity detection in nonlinear problems, Journal of Computational Physics Vol. 392, pp. 511-531, 2019.
  • D. Landa-Marbán, N. Liu, I. S. Pop, K. Kumar, P. Pettersson, G. Bødtker, T. Skauge, F. A. Radu, A pore-scale model for permeable biofilm: numerical simulations and laboratory experiments, Transport in Porous Media, pp. 1-18, 2018.
  • P. Pettersson, H.A. Tchelepi, Stochastic Galerkin framework with locally reduced bases for nonlinear two-phase transport in heterogeneous formations, Computer Methods in Applied Mechanics and Engineering, 2016.
  • P. Pettersson, J. Nordström, Alireza Doostan, A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data, Journal of Computational Physics, Vol 306 C, pp. 92-116, 2016.
  • P. Pettersson, Stochastic Galerkin Formulations for CO2 Transport in Aquifers: Numerical Solutions with Uncertain Material Properties, Transport in Porous Media, Vol 114 (2), pp. 457-483, 2016.
  • P. Pettersson, G. Iaccarino, J. Nordström, A stochastic Galerkin method for the Euler equations with Roe variable transformation, Journal of Computational Physics (JCP), Vol 257 A, pp. 481- 500, 2014.
  • P. Pettersson, G. Iaccarino, J. Nordström, An Intrusive Hybrid Method for Discontinuous Two-phase Flow under Uncertainty, Computers and Fluids, Vol 86, pp. 228-239, 2013.
  • P. Pettersson, A. Doostan, J. Nordström, On Stability and Monotonicity Requirements of Finite Difference Approximations of Stochastic Conservation Laws with Random Viscosity, Computer Methods in Applied Mechanics and Engineering, Vol 258, pp. 134-151, 2013.
  • P. Pettersson, J. Nordström, G. Iaccarino, Boundary procedures for the time-dependent Burgers' equation under uncertainty, Acta Mathematica Scientia, 30B(2), pp. 539-550, 2010.
  • P. Pettersson, G. Iaccarino, J. Nordström, Numerical analysis of the Burgers' equation in the presence of uncertainty, Journal of Computational Physics (JCP), Vol 228, No. 22, pp. 8394- 8412, 2009.
  • P. Pettersson, Q. Abbas, G. Iaccarino, J. Nordström, Efficiency of shock capturing schemes for Burgers' equation with boundary uncertainty. In G. Kreiss, P. Lötstedt, A. Målqvist, M. Neytcheva, editors, Numerical Mathematics and Advanced Applications: 2009, pp. 737-745, Springer, Berlin, 2010.

  • Conference Proceedings and Technical Reports

  • C. F. Silva, P. Pettersson, G. Iaccarino, M. Ihme, Generalized chaos expansion of state space models for uncertainty quantification in thermoacoustics. In: Proceedings of the Summer Program, Center for Turbulence Research, Stanford University, pp. 339-348, 2018.
  • A. Nissen, P. Pettersson, S. Tveit, A stable and efficient domain decomposition method for Maxwell's equations with uncertainty, VII International Conference on Computational Methods for Coupled Problems in Science and Engineering COUPLED PROBLEMS 2017, Rhodes Island, Greece, June 12-14, 2017.
  • P. Pettersson, J. Nordström, A. Doostan, A Well-posed and Stable Stochastic Galerkin Formulation of the Incompressible Navier-Stokes Equations with Random Data, Report number: LiTH-MAT-R--2015/06--SE.
  • A. Nissen, P. Pettersson, E. Keilegavlen, J. M. Nordbotten, Incorporating Geological Uncertainty in Error Control for Linear Solvers, SPE Reservoir Simulation Symposium, Houston, Texas, USA, 23-25 February 2015.
  • P. Pettersson, H. Tchelepi, Stochastic Galerkin Method for the Buckley-Leverett Problem in Heterogeneous Formations, ECMOR XIV, Catania, Sicily, Italy, 8-11 September 2014.
  • P. Pettersson, J. Nordström, G. Iaccarino, A Roe variable based chaos method for the Euler equations under uncertainty, Technical Report 2012-021, Department of Information Technology, Uppsala University.
  • P. Pettersson, G. Iaccarino, K.K. So, C. Stemmer, An Intrusive Method for Two-Phase Flow under Uncertainty, Proceedings of the 2011 SFB-TR40 Summer Program, Munich, Germany.
  • G. Iaccarino, P. Pettersson, J. Nordström, J. Witteveen, Numerical methods for uncertainty quantification in high speed flows, V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010, June 14-17 2010, Lisbon.
  • P. Pettersson, G. Iaccarino, J. Nordström, Numerical analysis of Burgers' equation with Uncertain Boundary Conditions Using the Stochastic Galerkin Method, Technical Report 2008-011, Department of Information Technology, Uppsala University.


  • Mailing Address:
    Uni Research
    Mailbox 7810
    N-5020 Bergen
    Email Address:
    +47-407 25 224
    Visiting Address:
    Room 4G4a
    Allégaten 41 (Realfagbygget)
  • New Release

  • Springer textbook on stochastic Galerkin methods for hyperbolic problems. We focus on analysis of the SG formulation and development of robust numerical solvers.

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  • Upcoming Events

  • CONQUER Meeting, April 28, Realfagbygget, Bergen.
  • SIAM Geosciences 2015

    Stanford, CA, June 29-July 2.

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