Optimal first-order L2 convergence is proven for the exponential wave integrator on NLSE with L^p_loc potentials down to the well-posedness threshold, with reduced orders for more singular cases.
Schrödinger , Quantisierung als eigenwertproblem , Annalen der Physik, 384 (1926), pp
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Optimal error bounds on the exponential wave integrator for nonlinear Schr\"odinger equations with highly singular potential
Optimal first-order L2 convergence is proven for the exponential wave integrator on NLSE with L^p_loc potentials down to the well-posedness threshold, with reduced orders for more singular cases.