66 citations · 233 across the 6 of their papers we have counts for
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Explicit symplectic integrators with adaptive time steps in curved spacetimes
Xin Wu, Ying Wang, Wei Sun +2
Recently, our group developed explicit symplectic methods for curved spacetimes that are not split into several explicitly integrable parts, but are via appropriate time transforma…
Applying explicit symplectic integrator to study chaos of charged particles around magnetized Kerr black hole
Wei Sun, Ying Wang, Fuyao Liu +1
In a recent work of Wu, Wang, Sun and Liu, a second-order explicit symplectic integrator was proposed for the integrable Kerr spacetime geometry. It is still suited for simulating…
Construction of explicit symplectic integrators in general relativity. IV. Kerr black holes
Xin Wu, Ying Wang, Wei Sun +1
In previous papers, explicit symplectic integrators were designed for nonrotating black holes, such as a Schwarzschild black hole. However, they fail to work in the Kerr spacetime…
Construction of explicit symplectic integrators in general relativity. III. Reissner-Nordstrom-(anti)-de Sitter black holes
Ying Wang, Wei Sun, Fuyao Liu +1
We give a possible splitting method to a Hamiltonian for the description of charged particles moving around the Reissner-Nordstrom-(anti)-de Sitter black hole with an external magn…
Construction of explicit symplectic integrators in general relativity. II. Reissner-Nordstrom black holes
Ying Wang, Wei Sun, Fuyao Liu +1
In a previous paper, second- and fourth-order explicit symplectic integrators were designed for a Hamiltonian of the Schwarzschild black hole. Following this work, we continue to t…
Construction of Explicit Symplectic Integrators in General Relativity. I. Schwarzschild Black Holes
Ying Wang, Wei Sun, Fuyao Liu +1
Symplectic integrators that preserve the geometric structure of Hamiltonian flows and do not exhibit secular growth in energy errors are suitable for the long-term integration of N…