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math-ph2013
New developments on the Geometric Nonholonomic Integrator
Sebastián Ferraro, Fernando Jiménez, David Martín de Diego
In this paper, we will discuss new developments regarding the Geometric Nonholonomic Integrator (GNI) [23, 24]. GNI is a discretization scheme adapted to nonholonomic mechanical sy…
math-ph2013★ 17 cited
Higher-order discrete variational problems with constraints
Leonardo Colombo, David Martín de Diego, Marcela Zuccalli
An interesting family of geometric integrators for Lagrangian systems can be defined using discretizations of the Hamilton's principle of critical action. This family of geometric…