Yanzhi Zhang
TitleCited byYear
Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation
W Bao, Q Du, Y Zhang
SIAM Journal on Applied Mathematics 66 (3), 758-786, 2006
902006
Dynamics of rotating two-component Bose–Einstein condensates and its efficient computation
Y Zhang, W Bao, H Li
Physica D: Nonlinear Phenomena 234 (1), 49-69, 2007
652007
Dynamics of the ground state and central vortex states in Bose–Einstein condensation
W Bao, Y Zhang
Mathematical Models and Methods in Applied Sciences 15 (12), 1863-1896, 2005
592005
A quadrature-rule type approximation to the quasi-continuum method
M Gunzburger, Y Zhang
Multiscale Modeling & Simulation 8 (2), 571-590, 2010
492010
Efficiently computing vortex lattices in rapid rotating Bose–Einstein condensates
R Zeng, Y Zhang
Computer Physics Communications 180 (6), 854-860, 2009
382009
Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation
S Duo, Y Zhang
Computers & Mathematics with Applications 71 (11), 2257-2271, 2016
352016
Dynamics of vortices in weakly interacting Bose-Einstein condensates
A Klein, D Jaksch, Y Zhang, W Bao
Physical Review A 76 (4), 043602, 2007
352007
Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation
Y Zhang, W Bao, Q Du
European Journal of Applied Mathematics 18 (5), 607-630, 2007
352007
A simple and efficient numerical method for computing the dynamics of rotating Bose-Einstein condensates via a rotating Lagrangian coordinate
W Bao, D Marahrens, Q Tang, Y Zhang
SIAM J. Sci. Comput., 2013
312013
Computing the ground and first excited states of the fractional Schrodinger equation in an infinite potential well
S Duo, Y Zhang
Communications in Computational Physics, 2015
282015
The dynamics and interaction of quantized vortices in the Ginzburg-Landau-Schrödinger equation
Y Zhang, W Bao, Q Du
SIAM Journal on Applied Mathematics 67 (6), 1740-1775, 2007
262007
Energy and chemical potential asymptotics for the ground state of Bose-Einstein condensates in the semiclassical regime
W Bao, FY Lim, Y Zhang
BULLETIN-INSTITUTE OF MATHEMATICS ACADEMIA SINICA 2 (2), 495, 2007
232007
Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations
W Bao, I Chern, Y Zhang
Journal of Computational Physics 253, 189-208, 2013
222013
Dynamics of the center of mass in rotating Bose–Einstein condensates
Y Zhang, W Bao
Applied numerical mathematics 57 (5-7), 697-709, 2007
222007
A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem
S Duo, HW van Wyk, Y Zhang
Journal of Computational Physics 355, 233-252, 2018
172018
Quadrature-rule type approximations to the quasicontinuum method for long-range interatomic interactions
Y Zhang, M Gunzburger
Computer methods in applied mechanics and engineering 199 (9-12), 648-659, 2010
172010
Fractional Schrödinger dynamics and decoherence
K Kirkpatrick, Y Zhang
Physica D: Nonlinear Phenomena 332, 41-54, 2016
152016
Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates
W Bao, Y Zhang
Methods and Applications of Analysis 17 (1), 49-80, 2010
152010
An efficient spectral method for computing dynamics of rotating two-component Bose–Einstein condensates via coordinate transformation
J Ming, Q Tang, Y Zhang
Journal of Computational Physics 258, 538-554, 2014
132014
A comparative study on nonlocal diffusion operators related to the fractional Laplacian
S Duo, H Wang, Y Zhang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B, doi:10.3934/dcdsb.2018110, 2017
122017
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Articles 1–20