Conjugate symplecticity up to order p 2 of p-th one-step multi-derivative methods based on an extension of the midpoint and trapezoidal methods is proved. If compared with similar achievements obtained for the class of Euler-MacLauren and Hermite-Obreshkov methods, this result further confirm that multi-derivative methods, despite failing in achieving the symplecticity property, may play a significant role in the context of geometric integration. A numerical illustration has also been added.

On conjugate-symplecticity properties of a multi-derivative extension of the midpoint and trapezoidal methods

Iavernaro F.;Mazzia F.
2018

Abstract

Conjugate symplecticity up to order p 2 of p-th one-step multi-derivative methods based on an extension of the midpoint and trapezoidal methods is proved. If compared with similar achievements obtained for the class of Euler-MacLauren and Hermite-Obreshkov methods, this result further confirm that multi-derivative methods, despite failing in achieving the symplecticity property, may play a significant role in the context of geometric integration. A numerical illustration has also been added.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/256626
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