This paper deals with numerical methods for the discretization of highly oscillatory systems. We approach the problem by writing the solution in terms of the Magnus expansion based on the Cayley map. The global error, obtained when the method is applied to the linear oscillator, is investigated. Moreover, we provide numerical experiments in order to validate our theoretical results.

The global error of Magnus methods based on the Cayley map for some oscillatory problems

RAGNI, Stefania
2003

Abstract

This paper deals with numerical methods for the discretization of highly oscillatory systems. We approach the problem by writing the solution in terms of the Magnus expansion based on the Cayley map. The global error, obtained when the method is applied to the linear oscillator, is investigated. Moreover, we provide numerical experiments in order to validate our theoretical results.
2003
Diele, F.; Ragni, Stefania
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2336447
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