<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The general family of Galerkin variational integrators are analyzed and a complete classification of such methods is proposed. This classification is based upon the type of basis function chosen to approximate the trajectories of material points and the numerical quadrature formula used in time. This approach leads to the definition of arbitrarily high order method in time. The proposed methodology is applied to the simulation of brownout phenomena occurring in helicopter take-off and landing.</p></abstract>

The general family of Galerkin variational integrators are analyzed and a complete classification of such methods is proposed. This classification is based upon the type of basis function chosen to approximate the trajectories of material points and the numerical quadrature formula used in time. This approach leads to the definition of arbitrarily high order method in time. The proposed methodology is applied to the simulation of brownout phenomena occurring in helicopter take-off and landing.

High-Order Variational Time Integrators for Particle Dynamics

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"High-Order Variational Time Integrators for Particle Dynamics"}

The general family of Galerkin variational integrators are analyzed and a complete classification of such methods is proposed. This classification is based...

High-Order Variational Time Integrators for Particle Dynamics

Published Online: Dec 19, 2018

Page range: 34 - 49

Received: Oct 14, 2016

Accepted: Oct 04, 2018

DOI: https://doi.org/10.2478/caim-2018-0015

Keywords
Variational integrators, Galerkin method, particle dynamics

© 2018 E. Miglio, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

High-Order Variational Time Integrators for Particle Dynamics

Published Online: Dec 19, 2018

Page range: 34 - 49

Received: Oct 14, 2016

Accepted: Oct 04, 2018

DOI: https://doi.org/10.2478/caim-2018-0015

KeywordsVariational integrators, Galerkin method, particle dynamics

© 2018 E. Miglio, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Variational integrators, Galerkin method, particle dynamics