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Superconvergence of Galerkin variational integrators

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posted on 2024-01-03, 10:22 authored by Sina Ober-Blöbaum, Mats VermeerenMats Vermeeren

We study the order of convergence of Galerkin variational integrators for ordinary differential equations. Galerkin variational integrators approximate a variational (Lagrangian) problem by restricting the space of curves to the set of polynomials of degree at most s and approximating the action integral using a quadrature rule. We show that, if the quadrature rule is sufficiently accurate, the order of the integrators thus obtained is 2s.

Funding

DFG Research Fellowship (VE 1211/1-1)

History

School

  • Science

Department

  • Mathematical Sciences

Published in

IFAC-PapersOnLine

Volume

54

Issue

19

Pages

327 - 333

Publisher

Elsevier

Version

  • VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by Elsevier under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence (CC BY-NC-ND). Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2021-11-19

Copyright date

2021

ISSN

2405-8971

eISSN

2405-8963

Language

  • en

Depositor

Dr Mats Vermeeren. Deposit date: 19 December 2023

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