Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/68567
標題: A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices
作者: Li, Z.C.
Chen, S.Y.
Chien, C.S.
Chen, H.S.
Project: Computer Physics Communications
期刊/報告no:: Computer Physics Communications, Volume 182, Issue 6, Page(s) 1215-1234.
摘要: 
We extend the study of spectral collocation methods (SCM) in Li et al. (2009) [1] for semilinear elliptic eigenvalue problems to that for a rotating Bose-Einstein condensation (BEC) and a rotating BEC in optical lattices. We apply the Lagrange interpolants using the Legendre-Gauss-Lobatto points to derive error bounds for the SCM. The optimal error bounds are derived for both H(1)-norm and L(2)-norm. Extensive numerical experiments on a rotating Bose-Einstein condensation and a rotating BEC in optical lattices are reported. Our numerical results show that the convergence rate of the SCM is exponential, and is independent of the collocation points we choose. (C) 2011 Elsevier B.V. All rights reserved.
URI: http://hdl.handle.net/11455/68567
ISSN: 0010-4655
DOI: 10.1016/j.cpc.2011.02.002
Appears in Collections:期刊論文

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