2 papers
math.NA2026
Geometric Integrators for Nonholonomic Systems on Lie Groups
Viyom Vivek, David Martin de Diego, Ravi N. Banavar
We present a general framework for constructing structure-preserving numerical integrators for nonholonomically constrained mechanical systems evolving on Lie groups using retracti…
math.NA2024
Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
Alejandro Cabrera, David MartÃn de Diego, Miguel Vaquero
While the construction of symplectic integrators for Hamiltonian dynamics is well understood, an analogous general theory for Poisson integrators is still lacking. The main challen…