Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case

Details Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case

2010-08-05

arxiv.org/abs/1008.1030v1

Mathematics

Numerical Analysis

34 pages, 12 figures

Scientific paper

We follow up on our previous works which presented a possible approach for deriving symplectic schemes for a certain class of highly oscillatory Hamiltonian systems. The approach considers the Hamilton-Jacobi form of the equations of motion, formally homogenizes it and infers an appropriate symplectic integrator for the original system. In our previous work, the case of a system exhibiting a single constant fast frequency was considered. The present work successfully extends the approach to systems that have either one varying fast frequency or several constant frequencies. Some related issues are also examined.

Affiliated with

Also associated with

No associations

Rating

Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438939