论文标题
不确定数据的可压缩流体运动
Compressible fluid motion with uncertain data
论文作者
论文摘要
我们提出了一个合适的分析框架，以对具有不确定数据的可压缩流体模型中产生的问题进行数值分析。我们讨论了弱和强随机方法，其中前者是基于对蒙特卡洛和相关方法的随机数据的单纯分布（法律）的知识，而后者则假定数据被称为旨在以相同形式获得相关解决方案的给定概率空间的随机变化。作为强大方法的一个例子，我们基于随机数据的分段常数近似讨论了随机搭配方法。
We propose a suitable analytical framework to perform numerical analysis of problems arising in compressible fluid models with uncertain data. We discuss both weak and strong stochastic approach, where the former is based on the knowledge of the mere distribution (law) of the random data typical for the Monte-Carlo and related methods, while the latter assumes the data to be known as a random variabble on a given probability space aiming at obtaining the associated solution in the same form. As an example of the strong approach, we discuss the stochastic collocation method based on a piecewise constant approximation of the random data.
