{"ID":23056308,"CreatedAt":"2026-09-17T06:17:14.403768621Z","UpdatedAt":"2026-09-17T06:17:14.403768621Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.18845","arxiv_id":"2609.18845","title":"High-order discrete differential and integral calculus and Galerkin variational integrators","abstract":"We define high-order discrete differential and integral calculus following the discrete embedding formalism strategy. Using this framework, we define high-order discrete Lagrangian functionals and the corresponding calculus of variations. This provides a new derivation of Galerkin variational integrators.","short_abstract":"We define high-order discrete differential and integral calculus following the discrete embedding formalism strategy. Using this framework, we define high-order discrete Lagrangian functionals and the corresponding calculus of variations. This provides a new derivation of Galerkin variational integrators.","url_abs":"https://arxiv.org/abs/2609.18845","url_pdf":"https://arxiv.org/pdf/2609.18845v1","authors":"[\"Jacky Cresson\",\"Khaled Hariz-Belgacem Khaled Hariz-Belgacem\",\"Anna Szafranska\"]","published":"2026-09-16T15:52:06Z","proceeding":"math.DS","tasks":"[\"math.DS\"]","methods":"[]","has_code":false}