The Calculus of Generating Functions and Formal Energy

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 6 in Symplectic Geometric Algorithms for Hamiltonian Systems, 2010, pp 249-275 from Springer

Abstract: Abstract In the previous chapter, we constructed the symplectic schemes of arbitrary order via generating function. However the construction of generating functions is dependent on the chosen coordinates. One would like to know under what circumstance will the construction of generating functions be independent of the coordinates. The generating functions are deeply associated with the conservation laws, so it is important to study their properties and computations.

Keywords: Hamiltonian System; Formal Power Series; Symplectic Structure; Hamiltonian Function; Cotangent Bundle (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_7

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

DOI: 10.1007/978-3-642-01777-3_7

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 ().