A Noether Theorem for discrete Covariant Mechanics

Abstract : Noether's theorem is an elegant and powerful tool of classical mechanics, but it is of little to no consequence in discrete theories. Here we define and explore a discrete approach to covariant mechanics and show that within this framework a discrete version of Noether's theorem, completely analogous to the well-known continuum version with all its ramifications, remains valid. We also discuss why more traditional approaches to discretized mechanics violate certain conservation laws by construction.
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https://hal.archives-ouvertes.fr/hal-02066880
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Submitted on : Wednesday, March 13, 2019 - 5:21:24 PM
Last modification on : Wednesday, April 17, 2019 - 1:31:55 PM

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Fabio d'Ambrosio. A Noether Theorem for discrete Covariant Mechanics. 2019. ⟨hal-02066880⟩

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