کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8902090 | 1631956 | 2018 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we are concerned with the analysis of a class of geometric integrators, at first devised in Brugnano et al. (2010) and Brugnano et al. (2012), which can be regarded as an energy-conserving variant of Gauss collocation methods. With these latter they share the property of conserving quadratic first integrals but, in addition, they also conserve the Hamiltonian function itself. We here reformulate the methods in a more convenient way, and propose a more refined analysis than that given in Brugnano et al. (2012) also providing, as a by-product, a practical procedure for their implementation. A thorough comparison with the original Gauss methods is carried out by means of a few numerical tests solving Hamiltonian and Poisson problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 335, June 2018, Pages 51-73
Journal: Journal of Computational and Applied Mathematics - Volume 335, June 2018, Pages 51-73
نویسندگان
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro,