2 papers
physics.comp-ph2024
On the relation between the velocity- and position-Verlet integrators
Liyan Ni, Zhonghan Hu
The difference and similarity between the velocity- and position-Verlet integrators are discussed from the viewpoint of their Hamiltonian representations for both linear and nonlin…
math-ph2024
Non-unique Hamiltonians for Discrete Symplectic Dynamics
Liyan Ni, Yihao Zhao, Zhonghan Hu
An outstanding property of any Hamiltonian system is the symplecticity of its flow, namely, the continuous trajectory preserves volume in phase space. Given a symplectic but discre…