Contact Algorithms for Contact Dynamical Systems

  • Kang Feng
  • Mengzhao Qin
Chapter

Abstract

An odd-dimensional manifold cannot admit a symplectic structure. The analogue of symplectic structure for odd-dimensional manifolds is a little less symmetric, but is also a very interesting structure — the contact structure. In this chapter, we apply the ideas of preserving Lie group and Lie algebra structure of dynamical systems in constructing symplectic algorithms for Hamiltonian systems to the study of numerical algorithms for contact dynamical systems and present so-called contact algorithms, i.e., algorithms preserving contact structure, for solving numerically contact systems.

Keywords

Hamiltonian System Contact Structure Jacobi Equation Contact Element Contact System 
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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