3 papers
astro-ph.IM2026
Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems
Yujie Jiang, Lijie Mei
The nonseparability of post-Newtonian (PN) Hamiltonian systems typically necessitates the use of computationally expensive implicit integrators. Recent research overcomes this limi…
math.NA2025
The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems
Lijie Mei, Xinyuan Wu, Yaolin Jiang
The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems is an open and important problem in both numerical analysis and computing in science a…
astro-ph.IM2024
Generalized flow-composed symplectic methods for post-Newtonian Hamiltonian systems
Shixiang Huang, Kaiming Zeng, Xinghua Niu +1
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 of…