Skip to Main content Skip to Navigation
Book sections

A Stroboscopic Numerical Method for Highly Oscillatory Problems

Abstract : We suggest a method for the integration of highly oscillatory systems with a single high frequency. The new method may be seen as a purely numerical way of implementing the analytical technique of stroboscopic averaging. The technique may be easily implemented in combination with standard software and may be applied with variable step sizes. Numerical experiments show that the suggested algorithms may be substantially more efficient than standard numerical integrators.
Document type :
Book sections
Complete list of metadata

Cited literature [14 references]  Display  Hide  Download

https://hal.inria.fr/hal-00777182
Contributor : Philippe Chartier <>
Submitted on : Thursday, January 17, 2013 - 9:23:25 AM
Last modification on : Thursday, January 7, 2021 - 4:12:46 PM
Long-term archiving on: : Thursday, April 18, 2013 - 3:59:34 AM

File

banff09.pdf
Files produced by the author(s)

Identifiers

Citation

Maripaz Calvo, Philippe Chartier, Ander Murua, Jesus Maria Sanz-Serna. A Stroboscopic Numerical Method for Highly Oscillatory Problems. Engquist Björn, Runborg Olof, Tsai Yen-Hsi R. Numerical analysis of multiscale computations: proceedings of a winter workshop at the Banff International Research Station 2009, 82, Springer, pp.71-85, 2012, 978-3-642-21942-9. ⟨10.1007/978-3-642-21943-6⟩. ⟨hal-00777182⟩

Share

Metrics

Record views

726

Files downloads

692