Scholarlink

<p>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 et al. (J Comput Phys 257:481–500, 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 multi-dimensional CWENO reconstruction.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

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

  • 期刊论文

  • 发表日期：

    2025年9月30日

查看全文
  • Stephan Gerster,
  • Aleksey Sikstel,
  • Giuseppe Visconti

摘要

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 et al. (J Comput Phys 257:481–500, 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 multi-dimensional CWENO reconstruction.