Polynomial chaos methods for hyperbolic partial differential equations: Numerical techniques for fluid dynamics problems in the presence of uncertainties MP Pettersson, G Iaccarino, J Nordström Springer, 2015 | 101 | 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 | 79 | 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 | 71 | 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, 643-660, 2019 | 32 | 2019 |
An intrusive hybrid method for discontinuous two-phase flow under uncertainty P Pettersson, G Iaccarino, J Nordström Computers & Fluids 86, 228-239, 2013 | 16 | 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 | 14 | 2016 |
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 | 11 | 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 | 11 | 2010 |
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 | 10 | 2013 |
Uncertainty quantification of combustion noise by generalized polynomial chaos and state-space models CF Silva, P Pettersson, G Iaccarino, M Ihme Combustion and Flame 217, 113-130, 2020 | 9 | 2020 |
Level set methods for stochastic discontinuity detection in nonlinear problems P Pettersson, A Doostan, J Nordström Journal of Computational Physics 392, 511-531, 2019 | 9 | 2019 |
Probabilistic Godunov-type hydrodynamic modelling under multiple uncertainties: robust wavelet-based formulations J Shaw, G Kesserwani, P Pettersson Advances in Water Resources 137, 103526, 2020 | 8 | 2020 |
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 | 8 | 2014 |
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: Proceedings of ENUMATH …, 2010 | 7 | 2010 |
Intrusive generalized polynomial chaos with asynchronous time integration for the solution of the unsteady Navier–Stokes equations P Bonnaire, P Pettersson, CF Silva Computers & Fluids 223, 104952, 2021 | 6 | 2021 |
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 | 6 | 2018 |
Stochastic Galerkin Formulations for Transport in Aquifers: Numerical Solutions with Uncertain Material Properties P Pettersson Transport in Porous Media 114 (2), 457-483, 2016 | 5 | 2016 |
Polynomial chaos methods MP Pettersson, G Iaccarino, J Nordström, MP Pettersson, G Iaccarino, ... Polynomial Chaos Methods for Hyperbolic Partial Differential Equations …, 2015 | 5 | 2015 |
Adaptive stratified sampling for non-smooth problems P Pettersson, S Krumscheid International Journal for Uncertainty Quantification 12 (6), 71-99, 2022 | 4 | 2022 |
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, ... SPE Journal 25 (06), 3120-3137, 2020 | 4 | 2020 |