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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
Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction
MarÃa Barbero Liñán, Juan Carlos Marrero, David MartÃn de Diego
In this paper we use retraction and discretization maps (see [Barbero Liñán and MartÃn de Diego, 2022]) as a tool for deriving in a systematic way numerical integrators preservi…