Symplectic-energy-momentum preserving variational integrators

Authors
Kane, C Marsden, JE Ortiz, M
Citation
C. Kane et al., Symplectic-energy-momentum preserving variational integrators, J MATH PHYS, 40(7), 1999, pp. 3353-3371
Citations number
28
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
7
Year of publication
1999
Pages
3353 - 3371
Database
ISI
SICI code
0022-2488(199907)40:7<3353:SPVI>2.0.ZU;2-7
Abstract
The purpose of this paper is to develop variational integrators for conserv ative mechanical systems that are symplectic and energy and momentum conser ving. To do this, a space-time view of variational integrators is employed and time step adaptation is used to impose the constraint of conservation o f energy. Criteria for the solvability of the time steps and some numerical examples are given. (C) 1999 American Institute of Physics. [S0022-2488(99 )01707-7].