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Pré-Publication, Document De Travail Année : 2021

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

Résumé

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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Dates et versions

hal-03141166 , version 1 (15-02-2021)

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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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