Variational integrator

Variational integrators are numerical integrators for Hamiltonian systems derived from the Euler–Lagrange equations of a discretized Hamilton's… (More)
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1999-2017
051019992017

Papers overview

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2016
2016
We present an efficient variational integrator for simulating multibody systems. Variational integrators reformulate the… (More)
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2014
2014
In this paper we develop, study, and test a Lie group multisymplectic integrator for geometrically exact beams based on the… (More)
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2014
2014
In this paper we develop, study, and test a Lie group multisymplectic integrator for geometrically exact beams based on the… (More)
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2010
2010
Geometric numerical integration refers to a class of numerical integration algorithms that preserve the differential geometric… (More)
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2007
2007
The formulation of multiple-time-step integrators can provide substantial computational savings for mechanical systems with… (More)
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2006
2006
In this paper we study a discrete variational optimal control problem for the rigid body. The cost to be minimized is the… (More)
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2006
2006
We present a combination of tools which allows for investigation of the coupled orbital and rotational dynamics of two rigid… (More)
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2006
2006
In this paper we study a discrete variational optimal control problem for the rigid body. The cost to be minimized is the… (More)
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Highly Cited
2005
Highly Cited
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)
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1999
1999
Variational methods are a class of symplectic-momentum integrators for ODEs. Using these schemes, it is shown that the classical… (More)
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