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Intégrateurs géométriques en géométrie de Poisson

Abstract : In this communication we sketch the importance of geometric integrators within the framework of Poisson geometry, and suggest a construction of numerical methods preserving the Hamiltonian structure of equations of motion on the one hand and the geometry of the ambient space on the other. To do so, we introduce the notion of local symplectic groupoids and explain how it allows to construct theses discretizations.
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https://hal.archives-ouvertes.fr/hal-03782503
Contributor : Vladimir Salnikov Connect in order to contact the contributor
Submitted on : Wednesday, September 21, 2022 - 11:01:30 AM
Last modification on : Saturday, November 26, 2022 - 11:38:06 AM

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  • HAL Id : hal-03782503, version 1

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Oscar Cosserat, Vladimir Salnikov, Camille Laurent-Gengoux. Intégrateurs géométriques en géométrie de Poisson. 2022. ⟨hal-03782503⟩

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