Contact Algorithms for Contact Dynamical Systems

Kang Feng and Mengzhao Qin ()
Additional contact information
Kang Feng: Institute of Computational Mathematics and Scientific/Engineering Computing
Mengzhao Qin: Institute of Computational Mathematics and Scientific/Engineering Computing

Chapter Chapter 11 in Symplectic Geometric Algorithms for Hamiltonian Systems, 2010, pp 477-497 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-01777-3_12

Ordering information: This item can be ordered from
http://www.springer.com/9783642017773

DOI: 10.1007/978-3-642-01777-3_12

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().