41 citations · 164 across the 19 of their papers we have counts for
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math.NA2019★ 18 cited
Numerical integration in celestial mechanics: a case for contact geometry
Alessandro Bravetti, Marcello Seri, Mats Vermeeren +1
Several dynamical systems of interest in celestial mechanics can be written in the form of a Newton equation with time-dependent damping, linear in the velocities. For instance, th…
math.NA2019★ 41 cited
Contact variational integrators
Mats Vermeeren, Alessandro Bravetti, Marcello Seri
We present geometric numerical integrators for contact flows that stem from a discretization of Herglotz' variational principle. First we show that the resulting discrete map is a…