Structure Preserving Schemes for Birkhoff Systems

  • Kang Feng
  • Mengzhao Qin
Chapter

Abstract

A universal symplectic structure for a Newtonian system including nonconservative cases can be constructed in the framework of Birkhoffian generalization of Hamiltonian mechanics. In this chapter, the symplectic geometry structure of Birkhoffian system is discussed, and the symplecticity of Birkhoffian phase flow is presented. Based on these properties, a way to construct symplectic schemes for Birkhoffian systems by the generating function method is explained[SSQS07],[SQ03].

Keywords

Hamiltonian System Lagrangian Submanifold Error Comparison Symplectic Mapping Double Logarithmic Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Zhejiang Publishing United Group, Zhejiang Science and Technology Publishing House, Hangzhou and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Kang Feng
    • 1
  • Mengzhao Qin
    • 1
  1. 1.Institute of Computational Mathematics and Scientific/Engineering ComputingBeijingChina

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