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-body …

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 trace …

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 …

We give a possible splitting method to a Hamiltonian for the description of charged particles
moving around the Reissner–Nordström-(anti)-de Sitter black hole with an external magnetic …

In recent publications, the construction of explicit symplectic integrators for Schwarzschild-
and Kerr-type spacetimes is based on splitting and composition methods for numerical …

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 …

A small deformation to the Schwarzschild metric controlled by four free parameters could be
referred to as a nonspinning black hole solution in alternative theories of gravity. Since such …

Coherent or exact equations of motion for a conservative post-Newtonian Lagrangian
formalism are the Euler-Lagrange equations without any terms truncated. They naturally …

Pihajoki proposed the extended phase-space second-order explicit symmetric leapfrog
methods for inseparable Hamiltonian systems. On the basis of this work, we survey a critical …

We consider the motion of test particles around a Reissner–Nordström black hole immersed
into a strong external magnetic field modifying the spacetime structure. When the particles …