In this paper we deal with high oscillatory systems and numerical methods for the approximation of their solutions. Some classical schemes developed in the literature are recalled and a recent approach based on the expression of the oscillatory solution by means of the exponential map is considered. Moreover we introduce a new method based on the Cayley map and provide some numerical tests in order to compare the different approaches.

Numerical comparison between different Lie-group methods for solving linear oscillatory ODEs

RAGNI, Stefania
2002

Abstract

In this paper we deal with high oscillatory systems and numerical methods for the approximation of their solutions. Some classical schemes developed in the literature are recalled and a recent approach based on the expression of the oscillatory solution by means of the exponential map is considered. Moreover we introduce a new method based on the Cayley map and provide some numerical tests in order to compare the different approaches.
2002
978-3-540-43594-5
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2336465
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