کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632699 | 1340651 | 2010 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
SB3A splitting for approximation of invariants in time-dependent Hamiltonian systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: SB3A splitting for approximation of invariants in time-dependent Hamiltonian systems SB3A splitting for approximation of invariants in time-dependent Hamiltonian systems](/preview/png/4632699.png)
چکیده انگلیسی
Most physical phenomena are described by time-dependent Hamiltonian systems with qualitative features that should be preserved by numerical integrators used for approximating their dynamics. The initial energy of the system together with the energy added or subtracted by the outside forces, represent a conserved quantity of the motion. For a class of time-dependent Hamiltonian systems [8] this invariant can be defined by means of an auxiliary function whose dynamics has to be integrated simultaneously with the system's equations. We propose splitting procedures featured by a SB3A property that allows to construct composition methods with a reduced number of determining order equations and to provide the same high accuracy for both the dynamics and the preservation of the invariant quantity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 6, 15 November 2010, Pages 2798-2807
Journal: Applied Mathematics and Computation - Volume 217, Issue 6, 15 November 2010, Pages 2798-2807
نویسندگان
Fasma Diele, Carmela Marangi, Stefania Ragni,