Butcher series for Hamiltonian Poisson integrators through symplectic groupoids

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Adrien Busnot Laurent, Oscar Cosserat

arXiv:2503.05000, 2025

Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structures

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Oscar Cosserat, Loïc Le Marrec

arXiv:2407.14453, to appear in Communications in Analysis and Mechanics, 2025

Vorticity-dependent and symmetry-preserving LES models

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Oscar Cosserat, Dina Razafindralandy, Can Selçuk

arXiv:2509.05389, 2025

Numerical Methods in Poisson Geometry and their Application to Mechanics

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Oscar Cosserat, Camille Laurent-Gengoux, Vladimir Salnikov

Mathematics and Mechanics of Solids, vol. 29(5), 2024

Ph.D. thesis: Theory and Construction of Structure Preserving Integrators in Poisson Geometry

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Oscar Cosserat

Université de La Rochelle, 2023 Sep 26

Symplectic Groupoids for Poisson Integrators

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Oscar Cosserat

Journal of Geometry and Physics, 2022

On Dirac structures admitting a variational approach

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Oscar Cosserat, C. Laurent-Gengoux, A. Kotov, L. Ryvkin, V. Salnikov

Mathematics and Mechanics of Complex Systems, 2021