research-article

Symplectic Integrators for Index 1 Constraints

Authors:

Robert I. McLachlan,

Olivier Verdier,

Matt WilkinsAuthors Info & Claims

SIAM Journal on Scientific Computing, Volume 35, Issue 5

Pages A2150 - A2162

https://doi.org/10.1137/120885085

Published: 01 January 2013 Publication History

Abstract

We show that symplectic Runge--Kutta methods provide effective symplectic integrators for Hamiltonian systems with index 1 constraints. These include the Hamiltonian description of variational problems subject to position and velocity constraints nondegenerate in the velocities, such as those arising in sub-Riemannian geometry and control theory.

References

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Information

Published In

cover image SIAM Journal on Scientific Computing

SIAM Journal on Scientific Computing Volume 35, Issue 5

^† Special Section: 2012 Copper Mountain Conference

2013

1040 pages

ISSN:1064-8275

DOI:10.1137/sjoce3.35.5

Issue’s Table of Contents

© 2013, Society for Industrial and Applied Mathematics.

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Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 January 2013

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