Polynomial chaos methods for hyperbolic partial differential equations MP Pettersson, G Iaccarino, J Nordstrom Springer Math Eng 10 (1007), 978-973, 2015 | 76 | 2015 |

Numerical analysis of the Burgers’ equation in the presence of uncertainty P Pettersson, G Iaccarino, J Nordström Journal of Computational Physics 228 (22), 8394-8412, 2009 | 69 | 2009 |

A stochastic Galerkin method for the Euler equations with Roe variable transformation P Pettersson, G Iaccarino, J Nordström Journal of Computational Physics 257, 481-500, 2014 | 47 | 2014 |

A pore-scale model for permeable biofilm: Numerical simulations and laboratory experiments D Landa-Marbán, N Liu, IS Pop, K Kumar, P Pettersson, G Bødtker, ... Transport in porous Media 127 (3), 643-660, 2019 | 18 | 2019 |

An intrusive hybrid method for discontinuous two-phase flow under uncertainty P Pettersson, G Iaccarino, J Nordström Computers & Fluids 86, 228-239, 2013 | 14 | 2013 |

On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity P Pettersson, A Doostan, J Nordström Computer Methods in Applied Mechanics and Engineering 258, 134-151, 2013 | 11 | 2013 |

Stochastic Galerkin Framework with Locally Reduced Bases for Nonlinear Two-Phase Transport in Heterogeneous Formations P Pettersson, HA Tchelepi Computer Methods in Applied Mechanics and Engineering 310, 367-387, 2016 | 10 | 2016 |

Boundary procedures for the time-dependent Burgers' equation under uncertainty P Pettersson, J Nordström, G Iaccarino Acta Mathematica Scientia 30 (2), 539-550, 2010 | 10 | 2010 |

A well-posed and stable stochastic Galerkin formulation of the incompressible Navier–Stokes equations with random data P Pettersson, J Nordström, A Doostan Journal of Computational Physics 306, 92-116, 2016 | 7 | 2016 |

Efficiency of shock capturing schemes for Burgers’ equation with boundary uncertainty P Pettersson, Q Abbas, G Iaccarino, J Nordström Numerical Mathematics and Advanced Applications 2009, 737-745, 2010 | 7 | 2010 |

Stochastic Galerkin method for the Buckley-Leverett problem in heterogeneous formations P Pettersson, H Tchelepi ECMOR XIV-14th European Conference on the Mathematics of Oil Recovery 2014 …, 2014 | 5 | 2014 |

Polynomial chaos methods MP Pettersson, G Iaccarino, J Nordström Polynomial Chaos Methods for Hyperbolic Partial Differential Equations, 23-29, 2015 | 4 | 2015 |

Numerical methods for uncertainty propagation in high speed flows G Iaccarino, P Pettersson, J Nordström, J Witteveen V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010, 2010 | 4 | 2010 |

Uncertainty Quantification and Numerical Methods for Conservation Laws P Pettersson Acta Universitatis Upsaliensis, 2013 | 3 | 2013 |

Mathematical Modeling, Laboratory Experiments, and Sensitivity Analysis of Bioplug Technology at Darcy Scale D Landa-Marbán, G Bødtker, BF Vik, P Pettersson, IS Pop, K Kumar, ... arXiv preprint arXiv:2002.00090, 2019 | 2 | 2019 |

Stochastic Galerkin Formulations for Transport in Aquifers: Numerical Solutions with Uncertain Material Properties P Pettersson Transport in Porous Media 114 (2), 457-483, 2016 | 2 | 2016 |

Stochastic Galerkin Formulations for CO2 Transport in Aquifers: Numerical Solutions with Uncertain Material Properties P Pettersson Transport in Porous Media, 1-27, 2015 | 2 | 2015 |

Level set methods for stochastic discontinuity detection in nonlinear problems P Pettersson, A Doostan, J Nordström Journal of Computational Physics 392, 511-531, 2019 | 1 | 2019 |

Generalized chaos expansion of state space models for uncertainty quantification in thermoacoustics. CF Silva, P Pettersson, G Iaccarino, M Ihme Proceedings of the Summer Program, 339-348, 2018 | 1 | 2018 |

Incorporating geological uncertainty in error control for linear solvers A Nissen, P Pettersson, E Keilegavlen, JM Nordbotten SPE Reservoir Simulation Symposium, 2015 | 1 | 2015 |