Variational integrators and time-dependent Lagrangian systems

Reports on Mathematical Physics

Volumn 49, Issue 2-3, 2002, Pages 183-192

  De Leon M ^a   Martin De Diego D ^a  

^a INSTITUTO DE MATEMÁTICAS Y FÍSICA FUNDAMENTAL   (Spain)

Author keywords

Symplectic integrator; Time dependent Lagrangian; Variational integration algorithm

Indexed keywords

EID: 0344511753     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(02)80017-9     Document Type: Article

References (20)

1. J. Cortés and S. Martínez: Nonlinearity 14 (2001), 1365-1392.
2. J. B. Chen, H-Y. Guo and K. Wu: arxiv:hepo-th/0109178, 23 Sep. 2001.
3. F. Cantrijn, J. F. Cariñena, M. Crampin and A. Ibort: J. Geom. Phys. 3(3) (1986), 353-400.
4. Z. Ge and J. E. Marsden: Phys. Lett. A 133 (1988), 134-139.
5. J. Gregory and C. Lin: Constrained Optimization in the Calculus of Variations and Optimal Control Theory, Chapman& Hall, London 1992.
6. C. Kane, J. E. Marsden, M. Ortiz and M. West: J. Math. Phys. 40 (1999), 3353-3371.
7. H. Kataoka and H. Hashimoto: J. Math. Econ. 36(8) (1995), 271-280.
8. T. D. Lee: Phys. Lett. 122B (1983), 217-220.
9. T. D. Lee: J. Statis. Phys. 46 (1987), 843-860.
10. T. D. Lee: Discrete mechanics, Lectures given at the International School of Subnuclear Physics, Erice, August 1983.
11. M. de León, J. C. Marrero and D. Martín de Diego: J. Geom. Phys. 35 (2000), 126-144.
12. M. de León and P. R. Rodrigues: Methods of Differential Geometry in Analytical Mechanics, North-Holland Math. Ser. 152, Amsterdam 1989.
13. M. J. P. Magill: On a General Economic Theory of Motion, Springer, Berlin 1970.
14. J. E. Marsden, G. W. Patrick and S. Shkoller: Commun. Math. Phys. 199 (1988), 351-395.
15. F. P. Ramsey: Economic J. 38 (1928), 543-559.
16. J. M. Sanz-Serna and M. Calvo: Numerical Hamiltonian Problems, Chapman and Hall, London 1994.
17. R. Sato and R. V. Ramachandran: Conservation Laws and Symmetry: Applications to Economics and Finance, Kluwer, Boston 1990.
18. D. J. Saunders: The Geometry of Jet Bundles, London Math. Soc. Lect. Notes Series 142, Cambridge University Press, 1989.
19. A. P. Veselov: Funct. Anal. and Appl. 25 (1991), 112-123.
20. J. M. Wendlandt and J. E. Marsden: Physica D 106 (1997), 223-246.