Wavepacket dynamics on dynamically adapting grids: Application of the equidistribution principle

Chemical Physics Letters

Volumn 366, Issue 3-4, 2002, Pages 336-342

  Hughes, Keith H ^a   Wyatt, Robert E ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037058705     PISSN: 00092614     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2614(02)01654-8     Document Type: Article

References (35)

1. R. Koslo., in: R.E. Wyatt, J.Z.H. Zhang (Eds.), Dynamics of Molecules and Chemical Reactions, Marcel Dekker, New York, 1996 (Chapter 5).
2. V.E. Madelung, Z. Phys. 40 (1926) 322.
3. L. de Broglie, An Introduction to the Study of Wave Mechanics, Dutton, New York, 1930.
4. D. Bohm, Phys. Rev. 85 (1952) 166; Phys. Rev. 85 (1952) 180.
5. C.L. Lopreore, R.E. Wyatt, Phys. Rev. Lett. 82 (1999) 5190.
6. R.E. Wyatt, Chem. Phys. Lett. 313 (1999) 189.
7. R.E. Wyatt, J. Chem. Phys. 111 (1999) 4406.
8. R.E. Wyatt, D.J. Kouri, D.K. Hoffman, J. Chem. Phys. 112 (2000) 10730.
9. C.L. Lopreore, R.E. Wyatt, Chem. Phys. Lett. 325 (2000) 73.
10. E.R. Bittner, R.E. Wyatt, J. Chem. Phys. 113 (2000) 8888.
11. R.E. Wyatt, E.R. Bittner, J. Chem. Phys. 113 (2000) 8898.
12. R.E. Wyatt, C.L. Lopreore, G. Parlant, J. Chem. Phys. 114 (2001) 5113.
13. C.L. Lopreore, R.E. Wyatt, J. Chem. Phys. 116 (2002) 1228.
14. R.E. Wyatt, K. Na, Phys. Rev. E 65 (2002) 016702.
15. J.F. Thompson, Appl. Numer. Math. 1 (1985) 3.
16. W. Huang, R.D. Russel, SIAM J. Numer. Anal. 34 (1997) 1106.
17. P.A. Zegeling, in: J.F. Thompson, B.K. Soni, N.P. Weatherill (Eds.), Handbook of Grid Generation, CRC Press, Boca Raton, 1998 (Chapter 37).
18. R.M. Furzeland, J.G. Verwer, P.A. Zegeling, J. Comp. Phys. 89 (1990) 349.
19. J.G. Verwer, J.G. Blom, R.M. Furzeland, P.A. Zegeling, in: J.E. Flaherty, P.J. Paslow, M.S. Shephard, J.D. Vasilakis (Eds.), Adaptive Methods for Partial Differential Equations, SIAM, Philadelphia, 1989 (Chapter 12).
20. J.F. Thompson, Z.U.A. Warsi, C.W. Mastin, Numerical Grid Generation: Foundations and Applications, Elsevier, New York, 1985 (Chapter 11).
21. E.A. Dorfi, L.O'.C. Drury, J. Comp. Phys. 69 (1987) 175.
22. Y. Qiu, D.M. Sloan, J. Comp. Phys. 146 (1998) 726.
23. G. Beckett, J.A. Mackenzie, M.L. Robertson, J. Comp. Phys. 168 (2001) 500.
24. P. Saucez, A. Vande Wouwer, W.E. Schiesser, Comp. Math. Appl. 35 (1998) 13.
25. L.K. Bieniasz, Electrochem. Commun. 4 (2002) 5.
26. J.M. Sanz-Serna, J.G. Verwer, IMA J. Numer. Anal. 6 (1986) 25.
27. J.M. Sanz-Serna, I. Christie, J. Comp. Phys. 67 (1986) 348.
28. HuiZhong Lu, A.D. Bandrauk, J. Chem. Phys. 115 (2001) 1670.
29. R.E. Wyatt, J. Chem. Phys., accepted.
30. C. Trahan, R.E. Wyatt, submitted.
31. C.W. Hirt, A.A. Amsden, J.L. Cook, J. Comp. Phys. 14 (1974) 227.
32. T. Belytschko, W.K. Liu, B. Moran, Nonlinear Finite Elements for Continua and Structures, Wiley, Chichester, 2000 (Chapter 7).
33. J.C. Koo, E.P. Fahrenhold, Comp. Methods Appl. Mech. Eng. 189 (2000) 875.
34. J.P. Boyd, Chebyshev & Fourier Spectral Methods, Springer, Berlin, 1989.
35. H. Tal-Ezer, R. Koslo., J. Chem. Phys. 81(1 984) 3967.