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
Contributor : Philippe Chartier Connect in order to contact the contributor
Submitted on : Thursday, January 17, 2013 - 9:23:25 AM
Last modification on : Friday, May 20, 2022 - 9:04:52 AM
Long-term archiving on: : Thursday, April 18, 2013 - 3:59:34 AM


Files produced by the author(s)



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⟩



Record views


Files downloads