A multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher dimensional deterministic problem, a discontinuous Galerkin (DG) solver is derived. A multiresolution analysis of the DG spaces for the proposed adaptation strategy is presented. Numerical results show that in the case of general stochastic distributions the performance of the DG solver is significantly improved by the novel adaptive strategy. The gain in efficiency is validated in computational experiments.

翻译：提出了解决随机保全法的多分辨率分析。使用新的适应战略和更高维度的确定性问题,得出了不连续的Galerkin(DG)解答器。提出了对拟议适应战略的DG空间的多分辨率分析。数字结果显示,在一般随机分布的情况下,DG解答器的性能通过新的适应战略得到显著改善。计算实验验证了效率的提高。