#### Filter Results:

- Full text PDF available (2)

#### Publication Year

2009

2012

- This year (0)
- Last 5 years (1)
- Last 10 years (2)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Elena Celledoni, Volker Grimm, +4 authors G. R. W. Quispel
- J. Comput. Physics
- 2012

We give a systematic method for discretizing Hamiltonian partial differential equations (PDEs) with constant symplectic structure, while preserving their energy exactly. The same method, applied to PDEs with constant dissipative structure, also preserves the correct monotonic decrease of energy. The method is illustrated by many examples. In the Hamiltonian… (More)

- Robert I. McLachlan, Dion R. J. O'Neale
- Numerical Algorithms
- 2009

We investigate what happens to periodic orbits and lower-dimensional tori of Hamiltonian systems under discretisation by a symplectic one-step method where the system may have more than one degree of freedom. We use an embedding of a symplectic map in a quasi-periodic non-autonomous flow and a KAM result of Jorba and Villaneuva (J Nonlinear Sci 7:427–473,… (More)

- ‹
- 1
- ›