1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
Regularization for the Schrödinger equation with rough potential: high-dimensional case
Ruobing Bai, Yajie Lian, Yifei Wu
In this work, we investigate the regularization mechanisms of the Schrödinger equation with a spatial potential where denotes a given spatial pote…
math.AP2025
Regularization for the Schrödinger equation with rough potential: one-dimensional case
Ruobing Bai, Yajie Lian, Yifei Wu
In this work, we investigate the following Schrödinger equation with a spatial potential \begin{align*} i\partial_t u+\partial_x^2 u+ηu=0, \end{align*} where is a given spatial…
math.NA2020★ 1 cited
A first-order Fourier integrator for the nonlinear Schrödinger equation on without loss of regularity
Yifei Wu, Fangyan Yao
In this paper, we propose a first-order Fourier integrator for solving the cubic nonlinear Schrödinger equation in one dimension. The scheme is explicit and can be implemented usin…