國立高雄大學圖資館 |

Language: English

Back

Geometric mechanics and its applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometric mechanics and its applicationsby Weipeng Hu, Chuan Xiao, Zichen Deng.
Author:	Hu, Weipeng.
other author:	Xiao, Chuan.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	xiv, 531 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mechanics, Analytic.
Online resource:	https://doi.org/10.1007/978-981-19-7435-9
ISBN:	9789811974359$q(electronic bk.)

Geometric mechanics and its applications
Hu, Weipeng.

Geometric mechanics and its applications[electronic resource] /by Weipeng Hu, Chuan Xiao, Zichen Deng. - Singapore :Springer Nature Singapore :2023. - xiv, 531 p. :ill. (some col.), digital ;24 cm.

Introduction -- Symplectic Method for Finite-Dimensional System -- Multi-Symplectic Method for Infinite-Dimensional Hamiltonian System -- Dynamic Symmetry Breaking and Generalized Multi-Symplectic Method for Non-Conservative System -- Structure-Preserving Analysis on Impact Dynamic Systems -- Structure-Preserving Analysis on Dynamics of Micro/Nano Systems -- Structure-Preserving Analysis on Astrodynamics Systems.

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.

ISBN: 9789811974359$q(electronic bk.)

Standard No.: 10.1007/978-981-19-7435-9doiSubjects--Topical Terms:

190293
Mechanics, Analytic.

LC Class. No.: QA805 / .H8 2023

Dewey Class. No.: 531.01515

Geometric mechanics and its applications
LDR:02236nmm a2200325 a 4500 001 645258
003 DE-He213
005 20221219183453.0
006 m d
007 cr nn 008mamaa
008 231208s2023 si s 0 eng d
020 $a 9789811974359$q(electronic bk.)
020 $a 9789811974342$q(paper)
024 7 $a 10.1007/978-981-19-7435-9 $2 doi
035 $a 978-981-19-7435-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA805 $b .H8 2023
072 7 $a TGB $2 bicssc
072 7 $a TEC009070 $2 bisacsh
072 7 $a TGB $2 thema
082 0 4 $a 531.01515 $2 23
090 $a QA805 $b .H874 2023
100 1 $a Hu, Weipeng. $3 953994
245 1 0 $a Geometric mechanics and its applications $h [electronic resource] / $c by Weipeng Hu, Chuan Xiao, Zichen Deng.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xiv, 531 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Introduction -- Symplectic Method for Finite-Dimensional System -- Multi-Symplectic Method for Infinite-Dimensional Hamiltonian System -- Dynamic Symmetry Breaking and Generalized Multi-Symplectic Method for Non-Conservative System -- Structure-Preserving Analysis on Impact Dynamic Systems -- Structure-Preserving Analysis on Dynamics of Micro/Nano Systems -- Structure-Preserving Analysis on Astrodynamics Systems.
520 $a 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.
650 0 $a Mechanics, Analytic. $3 190293
650 0 $a Geometry, Differential. $3 182610
650 0 $a Hamiltonian systems. $3 207807
650 1 4 $a Engineering Mechanics. $3 913404
650 2 4 $a Physics and Astronomy. $3 913434
650 2 4 $a Applied Dynamical Systems. $3 913436
700 1 $a Xiao, Chuan. $3 953995
700 1 $a Deng, Zichen. $3 953996
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-19-7435-9
950 $a Engineering (SpringerNature-11647)