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 | 134 | 2006 |
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 | 124 | 2016 |
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 | 103 | 2018 |
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 | 72 | 2007 |
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 | 68 | 2005 |
Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications S Duo, Y Zhang Computer Methods in Applied Mechanics and Engineering 355, 639-662, 2019 | 64 | 2019 |
A comparative study on nonlocal diffusion operators related to the fractional Laplacian S Duo, H Wang, Y Zhang Discrete Cont. Dyn.-B 24, 231-256, 2019 | 61 | 2019 |
A quadrature-rule type approximation to the quasi-continuum method M Gunzburger, Y Zhang Multiscale Modeling & Simulation 8 (2), 571-590, 2010 | 57 | 2010 |
Efficiently computing vortex lattices in rapid rotating Bose–Einstein condensates R Zeng, Y Zhang Computer Physics Communications 180 (6), 854-860, 2009 | 54 | 2009 |
Computing the ground and first excited states of the fractional Schrödinger equation in an infinite potential well S Duo, Y Zhang Communications in Computational Physics 18 (2), 321-350, 2015 | 53 | 2015 |
Fractional Schrödinger dynamics and decoherence K Kirkpatrick, Y Zhang Physica D: Nonlinear Phenomena 332, 41-54, 2016 | 52 | 2016 |
Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrodinger equation Y Zhang, W Bao, Q Du European Journal of Applied Mathematics 18 (5), 607, 2007 | 46 | 2007 |
A simple and efficient numerical method for computing the dynamics of rotating Bose--Einstein condensates via rotating Lagrangian coordinates W Bao, D Marahrens, Q Tang, Y Zhang SIAM Journal on Scientific Computing 35 (6), A2671-A2695, 2013 | 42 | 2013 |
Efficient numerical methods for computing ground states of spin-1 Bose–Einstein condensates based on their characterizations W Bao, IL Chern, Y Zhang Journal of Computational Physics 253, 189-208, 2013 | 42 | 2013 |
Dynamics of vortices in weakly interacting Bose-Einstein condensates A Klein, D Jaksch, Y Zhang, W Bao Physical Review A 76 (4), 043602, 2007 | 42 | 2007 |
Magnetic Control of Lateral Migration of Ellipsoidal Microparticles in Microscale Flows R Zhou, C Sobecki, J Zhang, Y Zhang, C Wang Physical Review Applied 8 (2), 024019, 2017 | 28 | 2017 |
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 | 28 | 2007 |
Dynamic Capability and Open-Source Strategy in the Age of Digital Transformation N Fukawa, Y Zhang, S Erevelles Journal of Open Innovation: Technology, Market, and Complexity 7 (3), 175, 2021 | 27 | 2021 |
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 | 27 | 2007 |
A unified meshfree pseudospectral method for solving both classical and fractional PDEs J Burkardt, Y Wu, Y Zhang SIAM Journal on Scientific Computing 43 (2), A1389–A1411, 2021 | 26 | 2021 |