Name
Abstract | ||
|---|---|---|
In this paper, we are concerned with the numerical solution of highly oscillatory Hamiltonian systems with a stiff linear part. We construct an averaged system whose solution remains close to the exact one over bounded time intervals, possesses the same adiabatic and Hamiltonian invariants as the original system, and is nonstiff. We then investigate its numerical approximation through a method which combines a symplectic integration scheme and an acceleration technique for the evaluation of time averages developed in [E. Cancés et al., Numer. Math., 100 (2005), pp. 211-232]. Eventually, we demonstrate the efficiency of our approach on two test problems with one or several frequencies. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/080715974 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
original system,time average,e. canc,stiff linear part,fi ltering.,bounded time interval,averaging technique,averaging,highly-oscillatory,hamiltonian invariants,adiabatic invariance,highly oscillatory hamiltonian problems,numerical approximation,acceleration technique,oscillatory hamiltonian system,numerical solution,symplectic integrator,hamiltonian system,filtering | Adiabatic quantum computation,Linear system,Hamiltonian (quantum mechanics),Mathematical analysis,Hamiltonian system,Symplectic integrator,Numerical analysis,Mathematics,Numerical linear algebra,Bounded function | Journal |
Volume | Issue | ISSN |
47 | 4 | 0036-1429 |
Citations | PageRank | References |
4 | 0.57 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| F. Castella | 1 | 4 | 0.91 |
| P. Chartier | 2 | 144 | 29.70 |
| Erwan Faou | 3 | 135 | 25.60 |