کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
502017 | 863676 | 2009 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Extended RKN-type methods for numerical integration of perturbed oscillators
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موضوعات مرتبط
مهندسی و علوم پایه
شیمی
شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Extended RKN-type methods for numerical integration of perturbed oscillators Extended RKN-type methods for numerical integration of perturbed oscillators](/preview/png/502017.png)
چکیده انگلیسی
In this paper, extended Runge–Kutta–Nyström-type methods for the numerical integration of perturbed oscillators with low frequencies are presented, which inherit the framework of RKN methods and make full use of the special feature of the true flows for both the internal stages and the updates. Following the approach of J. Butcher, E. Hairer and G. Wanner, we develop a new kind of tree set to derive order conditions for the extended Runge–Kutta–Nyström-type methods. The numerical stability and phase properties of the new methods are analyzed. Numerical experiments are accompanied to show the applicability and efficiency of our new methods in comparison with some well-known high quality methods proposed in the scientific literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 180, Issue 10, October 2009, Pages 1777–1794
Journal: Computer Physics Communications - Volume 180, Issue 10, October 2009, Pages 1777–1794
نویسندگان
Hongli Yang, Xinyuan Wu, Xiong You, Yonglei Fang,