Superconvergence of Galerkin variational integrators

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 int...

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Bibliographic Details
Main Authors: Sina Ober-Blöbaum, Mats Vermeeren
Format: Default Article
Published: 2021
Subjects:
Control engineering, mechatronics and robotics
Electrical engineering
Lagrangian systems
Variational integrators
Geometric integration
Galerkin methods
High-order integrators
Online Access:https://hdl.handle.net/2134/24866583.v1
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