کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639946 1341254 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symplectic structure-preserving integrators for the two-dimensional Gross–Pitaevskii equation for BEC
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Symplectic structure-preserving integrators for the two-dimensional Gross–Pitaevskii equation for BEC
چکیده انگلیسی

Symplectic integrators have been developed for solving the two-dimensional Gross–Pitaevskii equation. The equation is transformed into a Hamiltonian form with symplectic structure. Then, symplectic integrators, including the midpoint rule, and a splitting symplectic scheme are developed for treating this equation. It is shown that the proposed codes fulfill the discrete charge conservation law. Furthermore, the global error of the numerical solution is theoretically estimated. The theoretical analysis is supported by some numerical simulations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 17, 1 July 2011, Pages 4937–4948
نویسندگان
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