Introduction to numerics for nonlinear Schrödinger
Katharina Schratz (Sorbonne University)
In my talk I will give an introduction to numerics for nonlinear Schrödinger equations. I will present the idea behind splitting methods which have the advantage of preserving the L^2 norm of the solution. I will also discuss how tools from the analysis of PDE (e.g., Strichartz and Bourgain space type estimates) can be used on the discrete level to obtain convergence estimates in low regularity spaces.