• Corpus ID: 233346868

Explicit, time-reversible and symplectic integrator for Hamiltonians in isotropic uniformly curved geometries

@article{Silva2021ExplicitTA,
  title={Explicit, time-reversible and symplectic integrator for Hamiltonians in isotropic uniformly curved geometries},
  author={Ana Silva and Eitan Ben Av and Efi Efrati},
  journal={ArXiv},
  year={2021},
  volume={abs/2104.10908}
}

• Ana Silva, Eitan Ben Av, Efi Efrati
• Published 22 April 2021
• Mathematics
• ArXiv

The kinetic term of the N -body Hamiltonian system defined on the surface of the sphere is nonseparable. As a result, standard explicit symplectic integrators are inapplicable. We exploit an underlying hierarchy in the structure of the kinetic term to construct an explicit time-reversible symplectic scheme of second order. We use iterative applications of the method to construct a fourth order scheme and demonstrate its efficiency.