Many Hamiltonian problems in the solar system are separable into two analytically solvable
parts, and thus serve as a great chance to develop and apply explicit symplectic integrators …

Recently, our group developed explicit symplectic methods for curved spacetimes that are
not split into several explicitly integrable parts but are via appropriate time transformations …

We develop Microcanonical Hamiltonian Monte Carlo (MCHMC), a class of models that
follow fixed energy Hamiltonian dynamics, in contrast to Hamiltonian Monte Carlo (HMC) …

We prove that the recently developed semiexplicit symplectic integrators for nonseparable
Hamiltonian systems preserve any linear and quadratic invariants possessed by the …

Due to the nonseparability of the post-Newtonian (PN) Hamiltonian systems of compact
objects, the symplectic methods that admit the linear error growth and the near preservation …

We propose efficient numerical methods for nonseparable non-canonical Hamiltonian
systems which are explicit, K-symplectic in the extended phase space with long time energy …

For the nonseparable noncanonical Hamiltonian systems, we propose efficient K‐symplectic‐
like methods which are semiexplicit and energy‐preserving. By introducing two copies of the …

In this paper, for the guiding center system, we propose a type of explicit K-symplectic-like
methods by extending the original guiding center phase space and constructing new …

We propose explicit K-symplectic and explicit symplectic-like methods for the charged
particle system in a general strong magnetic field. The K-symplectic methods are also …

Kang Feng proposed the symplectic geometric algorithms for Hamiltonian systems at
Bei**g" International Symposium on Differential Geometry and Differential Equations" in …