"Now, we apply the MLMC method to the linear transport equation in the case of a stochastically modeled flux $q \\colon \\Omega \\times \\overline{D} \\longrightarrow \\mathbb{R}^{d}$. We search for the desity $\\rho \\colon \\Omega \\times [0, T] \\times \\overline{D} \\longrightarrow \\mathbb{R}$, such that\n",
"As introductury example we want to take a look at the specific configuration for the stochastic permeability $\\sigma=$, $\\lambda=$ and $s=1.8$. We initialize with $l_{\\text{init}} = [3, 4, 5]$ and $M_l^{\\text{init}} = [12, 6, 3]$. The transport equation is solved with discontinous Galerkin methods and the implicit mid point rule\n",