Bibliographic Details
| Title: |
Modulated fourier expansions of highly oscillatory differential equations |
| Authors: |
David Cohen, Ernst Hairer, Christian Lubich |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Superior Title: |
http://www.unige.ch/~hairer/preprints/FOCM3n4p327.pdf. |
| Publication Year: |
2003 |
| Collection: |
CiteSeerX |
| Description: |
Modulated Fourier expansions are developed as a tool for gaining in-sight into the long-time behavior of Hamiltonian systems with highly oscillatory solutions. Particle systems of Fermi–Pasta–Ulam type with light and heavy masses are considered as an example. It is shown that the harmonic energy of the highly oscillatory part is nearly conserved over times that are exponentially long in the high frequency. Unlike previous approaches to such problems, the technique used here does not employ nonlinear coordinate transforms and can therefore be extended to the analysis of numerical discretizations. 1. |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.545.7596; http://www.unige.ch/~hairer/preprints/FOCM3n4p327.pdf |
| Availability: |
http://www.unige.ch/~hairer/preprints/FOCM3n4p327.pdf |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.E09BB70C |
| Database: |
BASE |
