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Symplectic Geometric Algorithms for Hamiltonian Systems by Kang Feng, Mengzhao Qin

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About this book :-
Symplectic Geometric Algorithms for Hamiltonian Systems written by Kang Feng, Mengzhao Qin
The book describes the symplectic geometric algorithms and theoretical basis for a number of related algorithms. Most of the contents are a collection of lectures given by Kang Feng at Beijing University. Most of other sections are a collection of papers which were written by group members.

Book Detail :-
Title: Symplectic Geometric Algorithms for Hamiltonian Systems
Author(s): Kang Feng, Mengzhao Qin
Publisher: Springer
Year: 2010
Pages: 701
Type: PDF
Language: English
ISBN: Kang Feng
Country: China
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Book Contents :-
Symplectic Geometric Algorithms for Hamiltonian Systems written by Kang Feng, Mengzhao Qin cover the following topics.
1. Preliminaries of Differentiable Manifolds
2. Symplectic Algebra and Geometry Preliminaries
3. Hamiltonian Mechanics and Symplectic Geometry
4. Symplectic Difference Schemes for Hamiltonian Systems
5. The Generating Function Method
6. The Calculus of Generating Functions and Formal Energy
7. Symplectic Runge-Kutta Methods
8. Composition Scheme
9. Formal Power Series and B-Series
10. Volume-Preserving Methods for Source-Free Systems
11. Contact Algorithms for Contact Dynamical Systems
12. Poisson Bracket and Lie-Poisson Schemes
13. KAM Theorem of Symplectic Algorithms
14. Lee-Variational Integrator
15. Structure Preserving Schemes for Birkhoff Systems
16. Multisymplectic and Variational Integrators


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