Long time behavior of splitting methods applied to the linear Schrödinger equation

Comptes Rendus Mathematique

Volumn 344, Issue 2, 2007, Pages 89-92

  Dujardin, Guillaume ^a   Faou, Erwan ^a  

^a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845984363     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2006.11.024     Document Type: Article

References (6)

1. Besse C., Bidégaray B., and Descombes S. Order estimates in time of splitting methods for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 40 5 (2000) 26-40
2. G. Dujardin, E. Faou, Normal form and long time analysis of splitting schemes for the linear Schrödinger equation, Preprint
3. Hairer E., Lubich C., and Wanner G. Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations (2002), Springer, Berlin
4. Jahnke T., and Lubich C. Error bounds for exponential operator splittings. BIT 40 (2000) 735-744
5. Leimkuhler B., and Reich S. Simulating Hamiltonian Dynamics. Cambridge Monographs on Applied and Computational Mathematics vol. 14 (2004), Cambridge University Press, Cambridge
6. Shang Z. Resonant and Diophantine step sizes in computing invariant tori of Hamiltonian systems. Nonlinearity 13 (2000) 299-308