Representation of volume-preserving maps induced by solenoidal vector fields

A. Thyagaraja, F. A. Haas

Type: Article

Publication Date: 1985-03-01

Citations: 27

DOI: https://doi.org/10.1063/1.865093

Abstract

A general representation of finite-volume-preserving maps induced by solenoidal vector fields in periodic cylinders is derived. An important special case is the area preserving Hamiltonian maps which include the standard mapping. Applications to computational problems in plasma physics are briefly indicated.

Locations

The Physics of Fluids - View - PDF

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+ PDF Chat	Nilpotent normal form for divergence-free vector fields and volume-preserving maps	2007	Holger R. Dullin James D. Meiss
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+	Symplectic Numerical Integration of Hamiltonian Systems	1991	Clint Scovel
+	Volume-preserving integrators	1995	G.R.W. Wuispel

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+	<i>Difference Methods for Initial-Value Problems</i>	1959	Robert D. Richtmyer E. H. Dill