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Symplectic Geometric Algorithms for Hamiltonian Systems

Kang Feng and Mengzhao Qin ()
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Kang Feng: Institute of Computational Mathematics and Scientific/Engineering Computing
Mengzhao Qin: Institute of Computational Mathematics and Scientific/Engineering Computing

in Springer Books from Springer

Date: 2010
ISBN: 978-3-642-01777-3
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Chapters in this book:

Introduction
Kang Feng and Mengzhao Qin
Preliminaries of Differentiable Manifolds
Kang Feng and Mengzhao Qin
Symplectic Algebra and Geometry Preliminaries
Kang Feng and Mengzhao Qin
Hamiltonian Mechanics and Symplectic Geometry
Kang Feng and Mengzhao Qin
Symplectic Difference Schemes for Hamiltonian Systems
Kang Feng and Mengzhao Qin
The Generating Function Method
Kang Feng and Mengzhao Qin
The Calculus of Generating Functions and Formal Energy
Kang Feng and Mengzhao Qin
Symplectic Runge-Kutta Methods
Kang Feng and Mengzhao Qin
Composition Scheme
Kang Feng and Mengzhao Qin
Formal Power Series and B-Series
Kang Feng and Mengzhao Qin
Volume-Preserving Methods for Source-Free Systems
Kang Feng and Mengzhao Qin
Contact Algorithms for Contact Dynamical Systems
Kang Feng and Mengzhao Qin
Poisson Bracket and Lie-Poisson Schemes
Kang Feng and Mengzhao Qin
KAM Theorem of Symplectic Algorithms
Kang Feng and Mengzhao Qin
Lee-Variational Integrator
Kang Feng and Mengzhao Qin
Structure Preserving Schemes for Birkhoff Systems
Kang Feng and Mengzhao Qin
Multisymplectic and Variational Integrators
Kang Feng and Mengzhao Qin

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DOI: 10.1007/978-3-642-01777-3

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