Numerical method for integrodifferential generalized Langevin and master equations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 2 2, 2003, Pages

  Wilkie, Joshua ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FUNCTIONS; HAMILTONIANS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS;

DISCRETE VARIABLE REPRESENTATION; LANGEVIN EQUATIONS; MASTER EQUATIONS;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 42749101747     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. G. Frenkel and M. Schwartz, Europhys. Lett. 50, 628, (2000).
2. C. Meier and D.J. Tannor, J. Chem. Phys. 111, 3365 (1999).
3. J. Wilkie, J. Chem. Phys. 114, 7736 (2001)
4. J. Wilkie, J. Chem. Phys. 115, 10 335 (2001)
5. W.H. Press, S.A. Telkolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge University Press, Cambridge, 2001).
6. U. Peskin and N. Moiseyev, J. Chem. Phys. 99, 4590 (1993)
7. P. Pfeifer and R.D. Levine, ibid 79, 5512 (1983).
8. J. Wilkie, Phys. Rev. E 62, 8808 (2000)
9. G. Chen and R. Grimmer, J. Diff. Eqns. 45, 53 (1982).
10. S. Shaw and J.R. Whiteman, Comput. Methods Appl. Mech. Eng. 150, 397 (1997)
11. R.C.Y. Chin, G.W. Hedstrom, and G. Majda, Geophys. J. R. Astron. Soc. 86, 137 (1986).
12. D.T. Colbert and W.H. Miller, J. Chem. Phys. 96, 1982 (1992).
13. E. Hairer and G. Wanner, http://elib.zib/de/pub/elib/hairer-wanner/nonstiff/
14. Laplace transforms of the exact solutions are readily obtained but inverting the transform is problematic.