Pettersson, Per; Doostan, Alireza; Nordström, Jan Level set methods for stochastic discontinuity detection in nonlinear problems. (English) Zbl 1452.65020 J. Comput. Phys. 392, 511-531 (2019). MSC: 65C30 35R60 60H15 65M50 PDFBibTeX XMLCite \textit{P. Pettersson} et al., J. Comput. Phys. 392, 511--531 (2019; Zbl 1452.65020) Full Text: DOI arXiv
Pettersson, Per; Nordström, Jan; Doostan, Alireza A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data. (English) Zbl 1351.76020 J. Comput. Phys. 306, 92-116 (2016). MSC: 76D06 76M10 PDFBibTeX XMLCite \textit{P. Pettersson} et al., J. Comput. Phys. 306, 92--116 (2016; Zbl 1351.76020) Full Text: DOI
Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan A stochastic Galerkin method for the Euler equations with roe variable transformation. (English) Zbl 1349.76251 J. Comput. Phys. 257, Part A, 481-500 (2014). MSC: 76M10 76M50 65M75 65M60 76B15 PDFBibTeX XMLCite \textit{P. Pettersson} et al., J. Comput. Phys. 257, Part A, 481--500 (2014; Zbl 1349.76251) Full Text: DOI
Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan An intrusive hybrid method for discontinuous two-phase flow under uncertainty. (English) Zbl 1290.76158 Comput. Fluids 86, 228-239 (2013). MSC: 76T99 65M60 65M75 76M10 76R10 PDFBibTeX XMLCite \textit{P. Pettersson} et al., Comput. Fluids 86, 228--239 (2013; Zbl 1290.76158) Full Text: DOI Link
Pettersson, Per; Doostan, Alireza; Nordström, Jan On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity. (English) Zbl 1286.65138 Comput. Methods Appl. Mech. Eng. 258, 134-151 (2013). MSC: 65M75 65M06 35R60 60H35 PDFBibTeX XMLCite \textit{P. Pettersson} et al., Comput. Methods Appl. Mech. Eng. 258, 134--151 (2013; Zbl 1286.65138) Full Text: DOI Link
Pettersson, Per; Nordström, Jan; Iaccarino, Gianluca Boundary procedures for the time-dependent Burgers’ equation under uncertainty. (English) Zbl 1240.35591 Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 2, 539-550 (2010). MSC: 35R60 60H35 65C30 65L10 PDFBibTeX XMLCite \textit{P. Pettersson} et al., Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 2, 539--550 (2010; Zbl 1240.35591) Full Text: DOI
Pettersson, Per; Abbas, Qaisar; Iaccarino, Gianluca; Nordström, Jan Efficiency of shock capturing schemes for Burgers’ equation with boundary uncertainty. (English) Zbl 1216.65110 Kreiss, Gunilla (ed.) et al., Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29–July 3, 2009. Berlin: Springer (ISBN 978-3-642-11794-7/hbk; 978-3-642-11795-4/ebook). 737-745 (2010). MSC: 65M06 35Q53 65C30 35R60 PDFBibTeX XMLCite \textit{P. Pettersson} et al., in: Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29--July 3, 2009. Berlin: Springer. 737--745 (2010; Zbl 1216.65110) Full Text: DOI Link
Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan Numerical analysis of the Burgers’ equation in the presence of uncertainty. (English) Zbl 1177.65017 J. Comput. Phys. 228, No. 22, 8394-8412 (2009). MSC: 65C30 60H15 35Q53 35R60 65P20 65M60 65M12 PDFBibTeX XMLCite \textit{P. Pettersson} et al., J. Comput. Phys. 228, No. 22, 8394--8412 (2009; Zbl 1177.65017) Full Text: DOI Link