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Numerical methods in Poisson geometry and their application to mechanics

Oscar Cosserat, Camille Laurent-Gengoux, Vladimir Salnikov

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Source: Crossref

Published: Jan 24, 2024

DOI: 10.1177/10812865231217096

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Source abstract

We recall the question of geometric integrators in the context of Poisson geometry and explain their construction. These Poisson integrators are tested in some mechanical examples. Their properties are illustrated numerically and compared to traditional methods.

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Numerical methods in Poisson geometry and their application to mechanics — Mathematical Frontier Network