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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
** Edition: **
** Author(s): ** Kang Feng, Mengzhao Qin
** Publisher: ** Springer
** Series: **
** 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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