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math.NA2023
Functional equivariance and modified vector fields
Ari Stern, Sanah Suri
This paper examines functional equivariance, recently introduced by McLachlan and Stern [Found. Comput. Math. (2022)], from the perspective of backward error analysis. We character…
math.SG2023
Hamiltonian mechanics and Lie algebroid connections
Jiawei Hu, Ari Stern
We develop a new, coordinate-free formulation of Hamiltonian mechanics on the dual of a Lie algebroid. Our approach uses a connection, rather than coordinates in a local trivializa…