Variational integrators are numerical integrators for Hamiltonian systems derived from the Euler–Lagrange equations of a discretized Hamilton's… (More)

Semantic Scholar uses AI to extract papers important to this topic.

2016

2016

We present an efficient variational integrator for simulating multibody systems. Variational integrators reformulate the… (More)

Is this relevant?

2014

2014

In this paper we develop, study, and test a Lie group multisymplectic integrator for geometrically exact beams based on the… (More)

Is this relevant?

2014

2014

In this paper we develop, study, and test a Lie group multisymplectic integrator for geometrically exact beams based on the… (More)

Is this relevant?

2010

2010

- Christian Hellström
- ACM Comm. Computer Algebra
- 2010

Geometric numerical integration refers to a class of numerical integration algorithms that preserve the differential geometric… (More)

Is this relevant?

2007

2007

- William Fong, Eric Darve, Adrian Lew
- 21st International Workshop on Principles of…
- 2007

The formulation of multiple-time-step integrators can provide substantial computational savings for mechanical systems with… (More)

Is this relevant?

2006

2006

- A. K. Sanyal
- 2006

In this paper we study a discrete variational optimal control problem for the rigid body. The cost to be minimized is the… (More)

Is this relevant?

2006

2006

We present a combination of tools which allows for investigation of the coupled orbital and rotational dynamics of two rigid… (More)

Is this relevant?

2006

2006

- I. I. Hussein, Melvin Leok, A. K. Sanyal, A. M. Bloch
- Proceedings of the 45th IEEE Conference on…
- 2006

In this paper we study a discrete variational optimal control problem for the rigid body. The cost to be minimized is the… (More)

Is this relevant?

Highly Cited

2005

Highly Cited

2005

- Taeyoung Lee, N. Harris McClamroch, Melvin Leok
- Proceedings of 2005 IEEE Conference on Control…
- 2005

A numerical integrator is derived for a class of models that describe the attitude dynamics of a rigid body in the presence of an… (More)

Is this relevant?

1999

1999

Variational methods are a class of symplectic-momentum integrators for ODEs. Using these schemes, it is shown that the classical… (More)

Is this relevant?