16 citations · 31 across the 5 of their papers we have counts for
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math.NA2016★ 16 cited
Feedback Integrators
Dong Eui Chang, Fernando Jimenez, Matthew Perlmutter
A new method is proposed to numerically integrate a dynamical system on a manifold such that the trajectory stably remains on the manifold and preserves first integrals of the syst…
math.NA2016★ 2 cited
The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators
Luis C. Garcia-Naranjo, Fernando Jimenez
Geometric integrators for nonholonomic systems were introduced by Cortés and Martínez in [Nonholonomic integrators, Nonlinearity, 14, 2001] by proposing a discrete Lagrange-D'Alemb…