| 書目名稱 | Geometric Mechanics and Its Applications | | 編輯 | Weipeng Hu,Chuan Xiao,Zichen Deng | | 視頻video | http://file.papertrans.cn/384/383536/383536.mp4 | | 概述 | Generalizes the structure-preserving idea from the conservative Hamiltonian system to the non-conservative system.Proposes the complex structure-preserving method to investigate the complex coupling d | | 圖書封面 |  | | 描述 | .To?make the content of the book more systematic, this book mainly briefs some related basic knowledge?reported by other monographs and papers about geometric mechanics. The main content of this book is based on the last 20 years’ jobs of the authors. All physical processes can be formulated as the?Hamiltonian form with the energy conservation law as well as the symplectic?structure if all dissipative effects are ignored. On the one hand, the important?status of the Hamiltonian mechanics is emphasized. On the other hand, a higher?requirement is proposed for the numerical analysis on the Hamiltonian system,?namely the results of the numerical analysis on the Hamiltonian system should?reproduce the geometric properties of which, including the first integral, the?symplectic structure as well as the energy conservation law.?..?. | | 出版日期 | Book 2023 | | 關(guān)鍵詞 | Geometric Mechanics; Hamiltonian; Symmetry; Dissipation; Astrodynamics; Structure-preserving; Conservation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-19-7435-9 | | isbn_softcover | 978-981-19-7437-3 | | isbn_ebook | 978-981-19-7435-9 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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