activity
20142022
most citedOn the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions

58 citations · 132 across the 9 of their papers we have counts for

collaborators

9 papers

math.NA2022

Performance evaluations on the parallel CHAracteristic-Spectral-Mixed (CHASM) scheme

Yunfeng Xiong, Yong Zhang, Sihong Shao

Performance evaluations on the deterministic algorithms for 6-D problems are rarely found in literatures except some recent advances in the Vlasov and Boltzmann community [Dimarco…

math.NA2020

A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels

Yong Zhang, Yu Zhao, Zhennan Zhou

In this paper, we consider a nonlinear and nonlocal parabolic model for multi-species ionic fluids and introduce a semi-implicit finite volume scheme, which is second order accurat…

math.NA2020

Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations

Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas +1

In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the re…

physics.comp-ph2016★ 11 cited

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…

math.NA2015★ 58 cited

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…

physics.comp-ph2015★ 27 cited

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…

physics.comp-ph2015★ 32 cited

Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation

Lukas Exl, Norbert J. Mauser, Yong Zhang

We introduce an accurate and efficient method for a class of nonlocal potential evaluations with free boundary condition, including the 3D/2D Coulomb, 2D Poisson and 3D dipolar pot…

math.NA2014★ 1 cited

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…

physics.comp-ph2014★ 3 cited

A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey-Stewartson equations

Norbert Mauser, Hans Peter Stimming, Yong Zhang

We propose an efficient and accurate solver for the nonlocal potential in the Davey-Stewartson equation using nonuniform FFT (NUFFT). A discontinuity in the Fourier transform of th…