Convergence of a $\theta$-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise

Chuchu Chen, Jialin Hong, Andreas Prohl

We propose a $\theta$-scheme to discretize the $d$-dimensional stochastic cubic Schrödinger equation in Stratono\-vich sense. A uniform bound for the Hamiltonian of the discrete problem…