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math.NA2024
Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
Alejandro Cabrera, David Martín 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…
math-ph2024
Designing Poisson Integrators Through Machine Learning
Miguel Vaquero, David Martín de Diego, Jorge Cortés
This paper presents a general method to construct Poisson integrators, i.e., integrators that preserve the underlying Poisson geometry. We assume the Poisson manifold is integrable…