Poisson integrators for Lie–Poisson structures on \mathbb R^3

DOI10.1088/1751-8113/44/15/155204zbMath1344.37085OpenAlexW2024385587MaRDI QIDQ2999477

Lina Song

Publication date: 13 May 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/44/15/155204

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)