4 citations · 5 across the 6 of their papers we have counts for
Showing math.NAShow all
2 papers · 1 filter
math.NA2025
Numerical Integrators for Mechanical Systems on Lie Groups
Viyom Vivek, David Martin de Diego, Ravi N Banavar
Retraction maps are known to be the seed for all numerical integrators. These retraction maps-based integrators can be further lifted to tangent and cotangent bundles, giving rise…
math.NA2025★ 1 cited
Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction
María Barbero Liñán, Juan Carlos Marrero, David Martín de Diego
In this paper we use retraction and discretization maps (see [Barbero Liñán and Martín de Diego, 2022]) as a tool for deriving in a systematic way numerical integrators preserving…