PreprintCC BY-NC-ND 4.0HAL
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.
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BibTeX
@misc{cresson2026highorder,
title = {{HIGH-ORDER DISCRETE DIFFERENTIAL AND INTEGRAL CALCULUS AND GALERKIN VARIATIONAL INTEGRATORS}},
author = {Jacky Cresson and Khaled Hariz-Belgacem Khaled Hariz-Belgacem and Anna Szafranska},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18845},
eprint = {2609.18845},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05741644v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - HIGH-ORDER DISCRETE DIFFERENTIAL AND INTEGRAL CALCULUS AND GALERKIN VARIATIONAL INTEGRATORS
AU - Jacky Cresson
AU - Khaled Hariz-Belgacem Khaled Hariz-Belgacem
AU - Anna Szafranska
PY - 2026
DA - 2026/09/15
PB - HAL
DO - 10.48550/arxiv.2609.18845
UR - https://hal.science/hal-05741644v1
AB - 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.
ER -