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Variational integrator

Variational integrators are numerical integrators for Hamiltonian systems derived from the Euler–Lagrange equations of a discretized Hamilton's… Expand
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2018
2018
Abstract In this paper, we introduce a variational integrator for higher order finite element models. The solution quality of… Expand
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2017
2017
In this work, variational integrators of higher order for dynamical systems with holonomic constraints are constructed and… Expand
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2017
2017
It is well-known that if a symplectic integrator is applied to a Hamiltonian system, then the modified equation, whose solutions… Expand
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2016
2016
Discrete Hamiltonian variational integrators are derived from Type II and Type III generating functions for symplectic maps, and… Expand
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2013
2013
In this work, special numerical methods, so called variational integrators, are developed for several models of plasma physics… Expand
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2013
2013
In this contribution, we develop a variational integrator for the simulation of (stochastic and multiscale) electric circuits… Expand
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2011
2011
Abstract We extend the notion of variational integrator for classical Euler–Lagrange equations to the fractional ones. As in the… Expand
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Highly Cited
2010
Highly Cited
2010
This paper presents a Lie-Trotter splitting for inertial Langevin equations (geometric Langevin algorithm) and analyzes its long… Expand
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Highly Cited
2009
Highly Cited
2009
We present a technique to implement scalable variational integrators for generic mechanical systems in generalized coordinates… Expand
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2007
2007
The formulation of multiple-time-step integrators can provide substantial computational savings for mechanical systems with… Expand
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