Second Order Conformal Symplectic Schemes for Damped Hamiltonian Systems

@article{Bhatt2016SecondOC,
  title={Second Order Conformal Symplectic Schemes for Damped Hamiltonian Systems},
  author={Ashish Bhatt and Dwayne Floyd and Brian E. Moore},
  journal={Journal of Scientific Computing},
  year={2016},
  volume={66},
  pages={1234-1259}
}
Numerical methods for solving linearly damped Hamiltonian systems are constructed using the popular Störmer–Verlet and implicit midpoint methods. Each method is shown to preserve dissipation of symplecticity and dissipation of angular momentum of an N-body system with pairwise distance dependent interactions. Necessary and sufficient conditions for second order accuracy are derived. Analysis for linear equations gives explicit relationships between the damping parameter and the step size to… 
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