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Generating function and volume preserving mappings

Xue, Huiyan; Zanna, Antonella
Peer reviewed, Journal article
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Generating function and volume preserving mappings-2014.pdf (249.7Kb)
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https://hdl.handle.net/1956/7562
Utgivelsesdato
2014-03
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  • Department of Mathematics [799]
Sammendrag
In this paper, we study generating forms and generating functions for volume preserving mappings in Rn. We derive some parametric classes of volume preserving numerical schemes for divergence free vector fields. In passing, by extension of the Poincar´e generating function and a change of variables, we obtained symplectic equivalent of the theta-method for differential equations, which includes the implicit midpoint rule and symplectic Euler A and B methods as special cases.
Utgiver
The American Institute of Mathematical Sciences
Tidsskrift
Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
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Copyright The American Institute of Mathematical Sciences. All rights reserved.

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