Strong Convergence of a Splitting Method for the Stochastic Complex Ginzburg–Landau Equation
We consider the numerical approximation of the stochastic complex Ginzburg-Landau equation with additive noise on the one-dimensional torus. The complex nature of the equation means that many of the standard approaches developed for stochastic partial differential equations cannot be directly applied. We use an energy approach to prove an existence and uniqueness result as well as to obtain moment
