1
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function

      Preprint
      , ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          This work is devoted to the Galerkin projection of highly nonlinear random quantities. The dependency on a random input is described by Haar-type wavelet systems. The classical Haar sequence has been used by Pettersson, Iaccarino, Nordstroem (2014) for a hyperbolic stochastic Galerkin formulation of the one-dimensional Euler equations. This work generalizes their approach to several multi-dimensional systems with Lipschitz continuous and non-polynomial flux functions. Theoretical results are illustrated numerically by a genuinely multidimensional CWENO reconstruction.

          Related collections

          Author and article information

          Journal
          22 March 2022
          Article
          2203.11718
          83f1998a-30eb-43c8-927e-511a657adfd1

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          math.NA cs.NA math.PR

          Numerical & Computational mathematics,Probability
          Numerical & Computational mathematics, Probability

          Comments

          Comment on this article