کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6920136 863603 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical methods for non conservative perturbations of conservative problems
ترجمه فارسی عنوان
روش های عددی برای اختلالات غیر محافظه کارانه از مشکلات محافظه کارانه
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی تئوریک و عملی
چکیده انگلیسی
In this paper the numerical integration of non conservative perturbations of differential systems that possess a first integral, as for example slowly dissipative Hamiltonian systems, is considered. Numerical methods that are able to reproduce appropriately the evolution of the first integral are proposed. These algorithms are based on a combination of standard numerical integration methods and certain projection techniques. Some conditions under which known conservative methods reproduce that desirable evolution in the invariant are analysed. Finally, some numerical experiments in which we compare the behaviour of the new proposed methods, the averaged vector field method AVF proposed by Quispel and McLaren and standard RK methods of orders 3 and 5 are presented. The results confirm the theory and show a good qualitative and quantitative performance of the new projection methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 187, February 2015, Pages 72-82
نویسندگان
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