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Revisiting Geometric Integrators in Mechanics

Abstract : We address the question of effcient construction of geometric integrators - numerical methods preserving some internal geometric structure of the system of equations. Such methods are of particular importance for modelling and simulation of mechanical systems, where these structures permit to control the conservation of physically relevant quantities. We focus our attention on the so called generalized geometry, for which we present an approach to design higher order Runge-Kutta style numerical methods.
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https://hal.archives-ouvertes.fr/hal-03445340
Contributor : Vladimir Salnikov Connect in order to contact the contributor
Submitted on : Wednesday, September 21, 2022 - 10:49:07 AM
Last modification on : Wednesday, October 26, 2022 - 8:10:25 AM

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  • HAL Id : hal-03445340, version 1

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Aziz Hamdouni, Vladimir Salnikov. Revisiting Geometric Integrators in Mechanics. The Fourth International Conference on Computer Algebra, Jun 2021, Moscow, Russia. pp.65-68, 2021. ⟨hal-03445340⟩

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