Lagrange-d'alembert integrators

A Lagrange--d'Alembert integrator is a geometric numerical method for finding numerical solutions to the Lagrange--d'Alembert equations for mechanical systems with nonholonomic constraints that are linear in the velocities. The integrator is developed from geometry and principles that are...

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Main Author:	Cuell, Charles Lee
Other Authors:	Szyszkowski, Walerian
Format:	Others
Language:	en
Published:	University of Saskatchewan 2007
Subjects:	Geometric mechanics integrators symplectic nonholonomic holonomic
Online Access:	http://library.usask.ca/theses/available/etd-06062007-150506/

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spelling	ndltd-USASK-oai-usask.ca-etd-06062007-1505062013-01-08T16:32:48Z Lagrange-d'alembert integrators Cuell, Charles Lee Geometric mechanics integrators symplectic nonholonomic holonomic A Lagrange--d'Alembert integrator is a geometric numerical method for finding numerical solutions to the Lagrange--d'Alembert equations for mechanical systems with nonholonomic constraints that are linear in the velocities. The integrator is developed from geometry and principles that are analogues of the continuous theory.<p>Using discrete analogues of the symplectic form and momentum map, the resulting methods are symplectic and momentum preserving whenever the continuous system is symplectic and momentum preserving. In addition, it is possible to, in principle, generate Lagrange--d'Alembert integrators of any method order. Szyszkowski, Walerian Szmigielski, Jacek Srinivasan, Raj Patrick, George W. Cushman, Richard Brooke, James University of Saskatchewan 2007-06-08 text application/pdf http://library.usask.ca/theses/available/etd-06062007-150506/ http://library.usask.ca/theses/available/etd-06062007-150506/ en unrestricted I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to University of Saskatchewan or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Geometric mechanics integrators symplectic nonholonomic holonomic
spellingShingle	Geometric mechanics integrators symplectic nonholonomic holonomic Cuell, Charles Lee Lagrange-d'alembert integrators
description	A Lagrange--d'Alembert integrator is a geometric numerical method for finding numerical solutions to the Lagrange--d'Alembert equations for mechanical systems with nonholonomic constraints that are linear in the velocities. The integrator is developed from geometry and principles that are analogues of the continuous theory.<p>Using discrete analogues of the symplectic form and momentum map, the resulting methods are symplectic and momentum preserving whenever the continuous system is symplectic and momentum preserving. In addition, it is possible to, in principle, generate Lagrange--d'Alembert integrators of any method order.
author2	Szyszkowski, Walerian
author_facet	Szyszkowski, Walerian Cuell, Charles Lee
author	Cuell, Charles Lee
author_sort	Cuell, Charles Lee
title	Lagrange-d'alembert integrators
title_short	Lagrange-d'alembert integrators
title_full	Lagrange-d'alembert integrators
title_fullStr	Lagrange-d'alembert integrators
title_full_unstemmed	Lagrange-d'alembert integrators
title_sort	lagrange-d'alembert integrators
publisher	University of Saskatchewan
publishDate	2007
url	http://library.usask.ca/theses/available/etd-06062007-150506/
work_keys_str_mv	AT cuellcharleslee lagrangedalembertintegrators
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Lagrange-d'alembert integrators

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