کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10357990 | 867930 | 2005 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate](/preview/png/10357990.png)
چکیده انگلیسی
In this paper, we propose two iterative methods, a Jacobi-type iteration (JI) and a Gauss-Seidel-type iteration (GSI), for the computation of energy states of the time-independent vector Gross-Pitaevskii equation (VGPE) which describes a multi-component Bose-Einstein condensate (BEC). A discretization of the VGPE leads to a nonlinear algebraic eigenvalue problem (NAEP). We prove that the GSI method converges locally and linearly to a solution of the NAEP if and only if the associated minimized energy functional problem has a strictly local minimum. The GSI method can thus be used to compute ground states and positive bound states, as well as the corresponding energies of a multi-component BEC. Numerical experience shows that the GSI converges much faster than JI and converges globally within 10-20 steps.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 202, Issue 1, 1 January 2005, Pages 367-390
Journal: Journal of Computational Physics - Volume 202, Issue 1, 1 January 2005, Pages 367-390
نویسندگان
Shu-Ming Chang, Wen-Wei Lin, Shih-Feng Shieh,