Variational Partitioned Runge–Kutta Methods for Lagrangians Linear in Velocities

Variational Partitioned Runge–Kutta Methods for Lagrangians Linear in Velocities

In this paper, we construct higher-order variational integrators for a class of degenerate systems described by Lagrangians that are linear in velocities. We analyze the geometry underlying such systems and develop the appropriate theory for variational integration. Our main observation is that the...

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Bibliographic Details
Main Authors: Tomasz M. Tyranowski, Mathieu Desbrun
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematics
Subjects:
variational integrators
degenerate Lagrangians
Runge–Kutta methods
differential-algebraic systems
symplectic geometry
dynamical systems
Online Access:https://www.mdpi.com/2227-7390/7/9/861

Internet

https://www.mdpi.com/2227-7390/7/9/861

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