کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628600 1631829 2013 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational integrators for forced Birkhoffian systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Variational integrators for forced Birkhoffian systems
چکیده انگلیسی

In this letter, we first extend the Pfaff–Birkhoff principle to include forces and obtain the Pfaff–Birkhoff–D’Alembert principle consequently. Well then motions of forced Birkhoffian systems coincide with extremals of the modified principle. Subsequently, compared with the continuous case, the discrete forced Birkhoffian equations are constructed by discretizing the Pfaff–Birkhoff–D’Alembert principle. Considered as algorithms, the discrete equations have good numerical behavior in terms of getting the correct amounts by which the energy changes over the integration process, demonstrated by the given example.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 225, 1 December 2013, Pages 326–332
نویسندگان
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