Approximations of dispersive PDEs in the presence of low-regularity randomness

Yvonne Alama Bronsard, Yvain Bruned, Katharina Schratz

We introduce a new class of numerical schemes which allow for low regularity approximations to the expectation $\mathbb{E}(|u_k(\tau ,v^{\eta }){|}^2)$, where $u_k$ denotes the $k$-th Four…