Publications
(You may download papers from the publisher sites by clicking on paper names. If you do not have access, you may email me for re/preprints.)
- Dynamics of the ground state and central vortex states in Bose-Einstein condensation, W. Bao and Y.Zhang, Math. Mod. Meth. Appl. Sci., 15 (2005), pp. 1863-1896.
- Dynamics of rotating Bose-Einstein condensates and their efficient and accurate numerical computation, W. Bao, Q. Du and Y. Zhang, SIAM J. Appl. Math., 66 (2006), pp. 758-786.
- Dynamics of the center of mass in rotating Bose-Einstein condensates, W. Bao and Y. Zhang, Appl. Numer. Math., 57 (2007), pp. 697-709.
- Energy and chemical potential asymptotics for the ground state of Bose-Einstein condensates in the semiclassical regime, Bulletin of the Institute of Mathematics, Academia Sinica, 2 (2007), pp. 495-532.
- Numerical simulation of vortex dynamics in Ginzburg-Landau-Schroedinger equation, Y. Zhang, W. Bao and Q. Du, Eur. J. Appl. Math., 18 (2007), pp. 607-630.
- Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation, Y. Zhang, W. Bao and H. Li, Physica D, 234 (2007), pp. 49-69.
- Dynamics of vortices in weakly interacting Bose-Einstein condensates, A. Klein, D. Jaksch, Y. Zhang and W. Bao, Phys. Rev. A, 76 (2007), article 043602.
- The dynamics and interaction of quantized vortices in Ginzburg-Landau-Schroedinger equation, Y. Zhang, W. Bao and Q. Du, SIAM J. Appl. Math., 67 (2007), pp. 1740-1775.
- Quantized vortex stability and interaction in the nonlinear wave equation, W. Bao, R. Zeng and Y. Zhang, Physica D, 237 (2008), pp. 2391-2410.
- Efficiently computing vortex lattices in fast rotating Bose-Einstein condensates, R. Zeng and Y. Zhang, Comput. Phys. Commun., 180 (2009), pp. 854-860.
- A quadrature-rule type approximation to the quasicontinuum method, M. Gunzburger and Y. Zhang, SIAM Multiscale Model. Simul., to appear.
- Numerical study of vortex interactions in Bose-Einstein condensation, Y. Zhang, Commun. Comput. Phys., to appear.
- Quadrature-rule type approximations to the quasicontinuum method for long-range interatomic interactions, Y. Zhang and M. Gunzburger, Comput. Methods Appl. Mech. Engrg., to appear.
- Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates, W. Bao and Y. Zhang, Meth. Appl. Anal. , under revision.
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