文章基本信息

标题：Superconvergence of Galerkin variational integrators ⁎
本地全文：下载
作者：Sina Ober-Blöbaum ; Mats Vermeeren
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：19
页码：327-333
DOI：10.1016/j.ifacol.2021.11.098
语种：English
出版社：Elsevier
摘要：AbstractWe 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 mostsand 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.
关键词：KeywordsLagrangian systemsVariational integratorsGeometric integrationGalerkin methodsHigh-order integrators