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SYMPLECTICITY: 作品数：10被引量：23H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关机构：中国科学院数学与系统科学研究院更多>>; 相关期刊：《Journal of Computational Mathematics》《Science China Mathematics》《Applied Mathematics and Mechanics(English Edition)》《Astrodynamics》更多>>; 相关基金：国家自然科学基金瑞士科学基金美国国家科学基金更多>>

ENERGY AND QUADRATIC INVARIANTS PRESERVING METHODS FOR HAMILTONIAN SYSTEMS WITH HOLONOMIC CONSTRAINTS被引量：1: 《Journal of Computational Mathematics》2023年第1期107-132,共26页Lei Li Dongling Wang; sponsored by NSFC 11901389,Shanghai Sailing Program 19YF1421300 and NSFC 11971314;The work of D.Wang was partially sponsored by NSFC 11871057,11931013.; We introduce a new class of parametrized structure–preserving partitioned RungeKutta(α-PRK)methods for Hamiltonian systems with holonomic constraints.The methods are symplectic for any fixed scalar parameterα,and a...; 关键词：Hamiltonian systems Holonomic constraints SYMPLECTICITY Quadratic invariants Partitioned Runge-Kutt methods

Symplectic orbit propagation based on Deprit’s radial intermediary: 《Astrodynamics》2018年第4期375-386,共12页Leonel Palacios Pini Gurfil; the European Commission Horizon 2020 Program in the framework of the Sensor Swarm Sensor Network Project under grant agreement 687351.; The constantly challenging requirements for orbit prediction have opened the need for better onboard propagation tools.Runge-Kutta(RK)integrators have been widely used for this purpose;however RK integrators are not s...; 关键词：symplectic integration spacecraft orbit propagation Deprit’s radial intermediary SYMPLECTICITY Hamiltonian dynamics

Virtual Betti numbers and virtual symplecticity of 4-dimensional mapping tori,Ⅱ: 《Science China Mathematics》2017年第9期1591-1598,共8页NI Yi; supported by National Science Foundation of USA(Grant No.DMS1252992);an Alfred P.Sloan Research Fellowship; We show that if the fiber of a closed 4-dimensional mapping torus X is reducible and not S2× S1 or RP3#P3, then the virtual first Betti number of X is infinite and X is not virtually symplectic. This confirms two con...; 关键词：virtual Betti number virtual symplecticity 4-dimensional mapping torus reducible 3-manifold

Runge-Kutta method, finite element method, and regular algorithms for Hamiltonian system被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2013年第6期747-760,共14页胡妹芳陈传淼; Project supported by the National Natural Science Foundation of China (No. 11071067);the Hunan Graduate Student Science and Technology Innovation Project (No. CX2011B184); The symplectic algorithm and the energy conservation algorithm are two important kinds of algorithms to solve Hamiltonian systems. The symplectic Runge- Kutta （RK） method is an important part of the former, and the ...; 关键词：Hamiltonian system energy conservation SYMPLECTICITY finite elementmethod Runge-Kutta method

FINITE ELEMENT METHOD WITH SUPERCONVERGENCE FOR NONLINEAR HAMILTONIAN SYSTEMS被引量：4: 《Journal of Computational Mathematics》2011年第2期167-184,共18页Chuanmiao Chen Qiong Tang Shufang Hu; The work was supported by the National Natural Science Foundation of China （No. 10771063） and the Key Laboratory of High Performance Computation and Stochastic Iaformation Processing of Ministry of Education. The authors would like to thank the referees for their valuable suggestions.; This paper is concerned with the finite element method for nonlinear Hamiltonian systems from three aspects： conservation of energy, symplicity, and the global error. To study the symplecticity of the finite element ...; 关键词：Nonlinear Hamiltonian systems Finiteelement method SUPERCONVERGENCE Energy conservation SYMPLECTICITY Trajectory.

CONJUGATE-SYMPLECTICITY OF LINEAR MULTISTEP METHODS被引量：2: 《Journal of Computational Mathematics》2008年第5期657-659,共3页Ernst Hairer; the Swiss National Science Foundation, project No.200020-121561; For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior....; 关键词：Linear multistep method Underlying one-step method Conjugate-symplecticity Symmetry.

EXPANSIONS OF STEP-TRANSITION OPERATORS OF MULTI-STEP METHODS AND ORDER BARRIERS FOR DAHLQUIST PAIRS被引量：1: 《Journal of Computational Mathematics》2006年第1期45-58,共14页Quan-dong Feng Yi-fa Tang; This research is supported by the Informatization Construction of Knowledge Innovation Projects of the Chinese Academy of Sciences ＂Supercomputing Environment Construction and Application＂（INF105-SCE）, and by a grant （No. 10471145） from National Natural Science Foundation of China.; Using least parameters, we expand the step-transition operator of any linear multi-step method （LMSM） up to O（τ^s＋5） with order s = 1 and rewrite the expansion of the steptransition operator for s = 2 （obtained...; 关键词：Linear Multi-Step Method Step-Transition Operator B-SERIES Dahlquist（Conjugate） pair SYMPLECTICITY

QUADRATIC INVARIANTS AND SYMPLECTIC STRUCTURE OF GENERAL LINEAR METHODS: 《Journal of Computational Mathematics》2001年第3期269-280,共12页Xiao, AG Li, SF Yang, M; NSF of China(No. 19871070), Wang Kuancheng Foundation for Rewarding thePostdoctors of Chinese Academy of Sciences and the Post; Focuses on a study which presented some invariants and conservation laws of general linear methods applied to differential equation systems. Information on the quadratic invariants; Conservation of symplectic structur...; 关键词：quadratic invariants SYMPLECTICITY general linear methods Hamiltonian systems

ON CONJUGATE SYMPLECTICITY OF MULTI-STEP METHODS被引量：2: 《Journal of Computational Mathematics》2000年第4期431-438,共8页Yi-fa Tang (LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China) Dedicated to Feng Kang on his 80th birthday; China State Major Key Project for Basic Researches;National Natural Science Foundation of China! (No. 19801034);Bureau of; In this paper, we solve a problem on the existence of conjugate symplecticity of linear multi-step methods (LMSM), the negative result is obtained. [ABSTRACT FROM AUTHOR]; 关键词：conjugate symplecticity multi-step method

A SIMPLE WAY CONSTRUCTING SYMPLECTICRUNGE-KUTTA METHODS被引量：13: 《Journal of Computational Mathematics》2000年第1期61-68,共8页Geng Sun(Institute of Mathematics, Academia Sinica, Beijing 100080, China); Presents a study which derived a way of constructing symplectic methods with the help of symplecticity conditions of partitioned Runge-Kutta methods. Classes of symplectic Runge-Kutta methods; Relationship between Run...; 关键词：symplecticity condition partitioned Runge-Kutta method

SYMPLECTICITY