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Symplectic Geometric Algorithms for Hamiltonian Systems

Kang Feng and Mengzhao Qin
Publisher: 
Springer
Publication Date: 
2010
Number of Pages: 
676
Format: 
Hardcover
Price: 
269.00
ISBN: 
9783642017766
Category: 
Monograph
We do not plan to review this book.

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

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