2 papers
math.NA2024
The cubic nonlinear Schrödinger equation with rough potential
Norbert J. Mauser, Yifei Wu, Xiaofei Zhao
We consider the cubic nonlinear Schrödinger equation with a spatially rough potential, a key equation in the mathematical setup for nonlinear Anderson localization. Our study compr…
math.NA2023
Error estimate of a quasi-Monte Carlo time-splitting pseudospectral method for nonlinear Schrodinger equation with random potentials
Zhizhang Wu, Zhiwen Zhang, Xiaofei Zhao
In this paper, we consider the numerical solution of a nonlinear Schrodinger equation with spatial random potential. The randomly shifted quasi-Monte Carlo (QMC) lattice rule combi…