A fundamental theorem on the structure of symplectic integrators

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 354, Issue 5-6, 2006, Pages 373-376

  Chin, Siu A ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY NUMBER; BASIC STRUCTURE; ERROR COEFFICIENT; FOURTH-ORDER ALGORITHMS; FUNDAMENTAL THEOREMS; POSITIVE COEFFICIENTS; SECOND ORDERS; SYMPLECTIC INTEGRATORS;

BEAM PLASMA INTERACTIONS;

EID: 33747492396     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.02.004     Document Type: Article

References (33)

1. Yoshida H. Celestial Mech. Dynam. Astron. 56 (1993) 27
2. McLachlan R.I., and Quispel G.R.W. Acta Numerica 11 (2002) 241
3. Chin S.A., and Chen C.R. Celestial Mech. Dynam. Astron. 91 (2005) 301
4. Scuro S., and Chin S.A. Phys. Rev. E 71 (2005) 056703
5. Takahashi M., and Imada M. J. Phys. Soc. Jpn. 53 (1984) 3765
6. Li X.P., and Broughton J.Q. J. Chem. Phys. 86 (1987) 5094
7. Jang S., Jang S., and Voth G.A. J. Chem. Phys. 115 (2001) 7832
8. V T V everywhere
9. Cuervo J.E., Roy P.N., and Boninsegni M. J. Chem. Phys. 122 (2005) 114504
10. Bandrauk A.D., and Shen H. J. Chem. Phys. 99 (1993) 1185
11. Sanz-Serna J.M., and Portillo A. J. Chem. Phys. 104 (1996) 2349
12. Chin S.A., and Chen C.R. J. Chem. Phys. 114 (2001) 7338
13. Chin S.A., and Chin C.R. J. Chem. Phys. 117 (2002) 1409
14. Forbert H.A., and Chin S.A. Phys. Rev. B 63 (2001) 144518
15. Auer J., Krotscheck E., and Chin S.A. J. Chem. Phys. 115 (2001) 6841
16. Ciftja O., and Chin S.A. Phys. Rev. B 68 (2003) 134510
17. Chin S.A., and Krotscheck E. Phys. Rev. E 72 (2005) 036705
18. Wisdom J., Holman M., and Touma J. Fields Inst. Commun. 10 (1996) 217
19. Lopez-Marcos M.A., Sanz-Serna J.M., and Skeel R.D. SIAM J. Sci. Comput. 18 (1997) 223
20. Blanes S., Casas F., and Ros J. SIAM J. Sci. Comput. 21 (1999) 711
21. Suzuki M. Phys. Lett. A 165 (1992) 387
22. Koseleff P.V. Fields Inst. Commun. 10 (1996) 103
23. Omelyan I.P., Mryglod I.M., and Folk R. Phys. Rev. E 66 (2002) 026701
24. Omelyan I.P., Mryglod I.M., and Folk R. Comput. Phys. Commun. 151 (2003) 272
25. Suzuki M. J. Math. Phys. 32 (1991) 400
26. V T V in Eq. (2.12)
27. Chin S.A. math-ph/0511031 Phys. Rev. E, in press
28. Blanes S., and Casas F. Appl. Numer. Math. 54 (2005) 23
29. Sheng Q. IMA J. Numer. Anal. 9 (1989) 199
30. Goldman D., and Kaper T.J. SIAM J. Numer. Anal. 33 (1996) 349
31. Forest E., and Ruth R.D. Physica D 43 (1990) 105
32. Chin S.A. Phys. Lett. A 226 (1997) 344
33. Suzuki M. Phys. Lett. A 201 (1995) 425