13 citations · 56 across the 12 of their papers we have counts for
14 papers
A potential projection method for the nonlinear Schrödinger equation with low regularity potential
Weizhu Bao, Qingyuan Sun, Chushan Wang
We propose a potential projection (PP) method for the nonlinear Schrödinger equation (NLSE) with low-regularity and singular potentials by replacing the potential with its Fourier…
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 w…
Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential
Guillaume Bal, Chushan Wang
We study a one-dimensional linear dispersive equation of differential order with concentrated potential of extension with , featuring…
Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential
Weizhu Bao, Chushan Wang
We analyze a first-order exponential wave integrator (EWI) for the nonlinear Schrödinger equation (NLSE) with a singular potential that is locally in , which might be locally…
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
Weizhu Bao, Ying Ma, Chushan Wang
We prove a nearly optimal error bound on the exponential wave integrator Fourier spectral (EWI-FS) method for the logarithmic Schrödinger equation (LogSE) under the assumption of $…
Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
Yue Feng, Georg Maierhofer, Chushan Wang
The numerical approximation of low-regularity solutions to the nonlinear Schrödinger equation is notoriously difficult and even more so if structure-preserving schemes are sought.…
A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential
Bo Lin, Ying Ma, Chushan Wang
We propose a Lawson-time-splitting extended Fourier pseudospectral (LTSeFP) method for the numerical integration of the Gross-Pitaevskii equation with time-dependent potential that…
On action ground states of defocusing nonlinear Schrödinger equations
Wei Liu, Chushan Wang, Xiaofei Zhao
We investigate the action ground states of the defocusing nonlinear Schrödinger equation with and without rotation. Our primary focus is on characterizing the relationship between…
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
Weizhu Bao, Bo Lin, Ying Ma +1
We propose and analyze an extended Fourier pseudospectral (eFP) method for the spatial discretization of the Gross-Pitaevskii equation (GPE) with low regularity potential by treati…
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Chushan Wang
We propose and analyze a novel symmetric Gautschi-type exponential wave integrator (sEWI) for the nonlinear Schrödinger equation (NLSE) with low regularity potential and typical po…
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Ying Ma, Chushan Wang
We establish optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and typical power-type nonlinearity ,…
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Chushan Wang
We establish optimal error bounds for the exponential wave integrator (EWI) applied to the nonlinear Schrödinger equation (NLSE) with -potential and/or locally Lipschit…
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
Weizhu Bao, Chushan Wang
We establish error bounds of the Lie-Trotter time-splitting sine pseudospectral method for the nonlinear Schrödinger equation (NLSE) with semi-smooth nonlinearity , wh…
Computing the least action ground state of the nonlinear Schrödinger equation by a normalized gradient flow
Chushan Wang
In this paper, we generalize the normalized gradient flow method which was first applied to computing the least energy ground state to compute the least action ground state. A cont…