118 citations · 395 across the 16 of their papers we have counts for
16 papers
A normalized gradient flow method for computing ground states of spin-2 Bose-Einstein condensates
Weizhu Bao, Qinglin Tang, Yongjun Yuan
We propose and analyze an efficient and accurate numerical method for computing ground states of spin-2 Bose-Einstein condensates (BECs) by using the normalized gradient flow (NGF)…
Denoising Particle-In-Cell Data via Smoothness-Increasing Accuracy-Conserving Filters with Application to Bohm Speed Computation
Matthew J. Picklo, Qi Tang, Yanzeng Zhang +2
The simulation of plasma physics is computationally expensive because the underlying physical system is of high dimensions, requiring three spatial dimensions and three velocity di…
On optimal zero-padding of kernel truncation method
Xin Liu, Qinglin Tang, Shaobo Zhang +1
The kernel truncation method (KTM) is a commonly-used algorithm to compute the convolution-type nonlocal potential , where the convolution…
Error estimates of local energy regularization for the logarithmic Schrodinger equation
Weizhu Bao, Remi Carles, Chunmei Su +1
The logarithmic nonlinearity has been used in many partial differential equations (PDEs) for modeling problems in various applications.Due to the singularity of the logarithmic fun…
Regularized numerical methods for the logarithmic Schrodinger equation
Weizhu Bao, Rémi Carles, Chunmei Su +1
We present and analyze two numerical methods for the logarithmic Schr{ö}dinger equation (LogSE) consisting of a regularized splitting method and a regularized conservative Crank-Ni…
Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation
Weizhu Bao, Remi Carles, Chunmei Su +1
We present a regularized finite difference method for the logarithmic Schrödinger equation (LogSE) and establish its error bound. Due to the blow-up of the logarithmic nonlinearity…
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method
Xavier Antoine, Antoine Levitt, Qinglin Tang
We propose a preconditioned nonlinear conjugate gradient method coupled with a spectral spatial dis-cretization scheme for computing the ground states (GS) of rotating Bose-Einstei…
A robust and efficient numerical method to compute the dynamics of the rotating two-component dipolar Bose-Einstein condensates
Qinglin Tang, Yong Zhang, Norbert Mauser
In this paper, we propose a robust and efficient numerical method to compute the dynamics of the rotating two-component dipolar Bose-Einstein condensates (BEC). Using the rotating…
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions
Xavier Antoine, Qinglin Tang, Yong Zhang
In this paper, we propose some efficient and robust numerical methods to compute the ground states and dynamics of Fractional Schrödinger Equation (FSE) with a rotation term and no…
A uniformly accurate (UA) multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime
Weizhu Bao, Yongyong Cai, Xiaowei Jia +1
We propose and rigourously analyze a multiscale time integrator Fourier pseudospectral (MTI-FP) method for the Dirac equation with a dimensionless parameter w…
Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT
Weizhu Bao, Qinglin Tang, Yong Zhang
In this paper, we propose efficient and accurate numerical methods for computing the ground state and dynamics of the dipolar Bose-Einstein condensates utilising a newly developed…
Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime
Weizhu Bao, Yongyong Cai, Xiaowei Jiao +1
We analyze rigorously error estimates and compare numerically spatial/temporal resolution of various numerical methods for the discretization of the Dirac equation in the nonrelati…
Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
Weizhu Bao, Shidong Jiang, Qinglin Tang +1
We present efficient and accurate numerical methods for computing the ground state and dynamics of the nonlinear Schrödinger equation (NLSE) with nonlocal interactions based on a f…
An efficient spectral method for computing dynamics of rotating two-component Bose--Einstein condensates via coordinate transformation
Ming Ju, Qinglin Tang, Yanzhi Zhang
In this paper, we propose an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose--Einstein condensates (BECs) which is described by co…
Numerical Study of Quantized Vortex Interaction in Complex Ginzburg--Landau Equation on Bounded Domains
Wei Jiang, Qinglin Tang
In this paper, we study numerically quantized vortex dynamics and their interaction in the two-dimensional complex Ginzburg-Landau equation (CGLE) with a dimensionless parameter $\…
A simple and efficient numerical method for computing the dynamics of rotating Bose-Einstein condensates via a rotating Lagrangian coordinate
Weizhu Bao, Daniel Marahrens, Qinglin Tang +1
We propose a simple, efficient and accurate numerical method for simulating the dynamics of rotating Bose-Einstein condensates (BECs) in a rotational frame with/without a long-rang…