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Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations

Fernando Casas 1 Philippe Chartier 2, 3 Alejandro Escorihuela-Tomàs 1 Yong Zhang 4
3 MINGUS - Multi-scale numerical geometric schemes
IRMAR - Institut de Recherche Mathématique de Rennes, ENS Rennes - École normale supérieure - Rennes, Inria Rennes – Bretagne Atlantique
Abstract : In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the real axis. It is shown in particular that the new integrators are symmetric and symplectic up to high orders if one uses a symmetric and symplectic basic method. In terms of efficiency, the aforementioned technique requires fewer stages than standard compositions of the same orders and is thus expected to lead to faster methods.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03141166
Contributor : Philippe Chartier Connect in order to contact the contributor
Submitted on : Monday, February 15, 2021 - 9:49:50 AM
Last modification on : Wednesday, January 26, 2022 - 5:42:33 PM
Long-term archiving on: : Sunday, May 16, 2021 - 6:32:54 PM

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  • HAL Id : hal-03141166, version 1

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Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomàs, Yong Zhang. Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. 2021. ⟨hal-03141166⟩

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