Jubilation 发表于 2025-3-30 08:42:32

Composition Scheme,rder schemes by “composing” a method, and this constructing process can be continued to obtain arbitrary even order schemes. The composing method presented here can be used to in both non-symplectic and symplectic schemes.

blister 发表于 2025-3-30 13:21:47

KAM Theorem of Symplectic Algorithms,odic motions in the phase spaces. In this chapter, we study problems as to whether and to what extent symplectic algorithms can simulate qualitatively and approximate quantitatively the periodic and quasi-periodic phase curves of integrable Hamiltonian systems.

态学 发表于 2025-3-30 20:17:01

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拒绝 发表于 2025-3-31 00:42:55

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DEMN 发表于 2025-3-31 01:38:21

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过剩 发表于 2025-3-31 09:01:50

Lee-Variational Integrator,nal integrators that preserve discrete symplectic 2-form have been obtained [., but variational integrators obtained in this way fix the time steps and consequently, they are not energy-preserving in general.

FLINT 发表于 2025-3-31 12:33:56

computational mathematics.A must for the computational mathe."Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc. The book generalizes and develops the g

cajole 发表于 2025-3-31 16:18:03

Book 2010computational chemistry, celestial mechanics, etc. The book generalizes and develops the generating function and Hamilton-Jacobi equation theory from the perspective of the symplectic geometry and symplectic algebra. It will be a useful resource for engineers and scientists in the fields of quantum

Abutment 发表于 2025-3-31 18:53:00

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set598 发表于 2025-3-31 22:58:02

https://doi.org/10.1007/978-3-642-01777-3Contact systems; Generating function; Lie– Poisson systems; Symplectic geometry; Theoretical physics; ZST
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查看完整版本: Titlebook: Symplectic Geometric Algorithms for Hamiltonian Systems; Kang Feng,Mengzhao Qin Book 2010 Springer-Verlag Berlin Heidelberg 2010 Contact s