High-order discrete differential and integral calculus and Galerkin variational integrators
Jacky Cresson, Khaled Hariz-Belgacem Khaled Hariz-Belgacem, Anna Szafranska
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.
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