Optimal error bounds on the exponential wave integrator for nonlinear Schrödinger equations with highly singular potential

Weizhu Bao, Chushan Wang, Yifei Wu

We establish error estimates of the first-order exponential wave integrator (EWI) for the nonlinear Schrödinger equation (NLSE) with a highly singular potential in ${\mathbb{R}}^d$ w…