A note for Lie-Poisson Hamilton-Jacobi equation and Lie-Poisson integrator
type: Item
instance of: scholarly article
title: A note for Lie-Poisson Hamilton-Jacobi equation and Lie-Poisson integrator
zbMATH Open document ID: 0837.58015
DOI: 10.1016/0898-1221(95)00126-J
author: S.-T. Li
author: Qin Meng Zhao
publication date: 1996-05-13T00:00:00Z
review text: This paper presents a direct Lie-Poisson, Hamilton-Jacobi theory. The authors show how to construct a Lie-Poisson integrator by generating function methods. Their construction differs in a significant detail from the Ge-Marsden algorithm. The authors offer an example in the mechanics of the rigid body to illustrate their approach and to highlight the drawbacks of the Ge-Marsden approach.
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 811389
zbMATH Keywords: momentum-preserving integrator
zbMATH Keywords: generating function methods
zbMATH Keywords: Lie-Poisson integrator
reviewed by: William J. Satzer Jr.
MaRDI profile type: Publication
cites work: Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
cites work: Q4730832
cites work: Equivariant symplectic difference schemes and generating functions
cites work: Q3198568
cites work: Integrators for Lie-Poisson dynamical systems
full work available at URL: 0898-1221(95)00126-j
OpenAlex ID: W2075859997
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 811389