Symplectic integrators with potential derivatives to third order |
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| Authors: | Wei Sun Xin Wu Guo-Qing Huang |
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| Institution: | Wei Sun,Xin Wu and Guo-Qing Huang Institute of Astronomy & Department of Physics,Nanchang University,Nanchang 330031,China |
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| Abstract: | An operator associated with third-order potential derivatives and a force gradient operator corresponding to second-order potential derivatives are used together to design a number of new fourth-order explicit symplectic integrators for the natural splitting of a Hamiltonian into both the kinetic energy with a quadratic form of momenta and the potential energy as a function of position coordinates.Numerical simulations show that some new optimal symplectic algorithms are much better than their non-optimal c... |
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