Work

High-order discrete differential and integral calculus and Galerkin variational integrators

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.18845

Authors: Cresson, Jacky, Hariz-Belgacem, Khaled Hariz-Belgacem Khaled, Szafranska, Anna

Institutions: Laboratoire de Mathématiques et de leurs Applications, Universidad Pontificia Bolivariana, Guilin University of Technology

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213523843

Cites: 2

Cited by:

Related to: 10