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SYMPLECTIC COMPUTATION OF HAMILTONIAN SYSTEMS (I) 被引量:1

SYMPLECTIC COMPUTATION OF HAMILTONIAN SYSTEMS (I)
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摘要 Presents information on a study which discussed a symplectic computation of hamiltonian systems. Terms of formal energy of mid-point rule; Analysis of the mathematical pendulum to test the convergence of the formal energy; Numerical experiments. Presents information on a study which discussed a symplectic computation of hamiltonian systems. Terms of formal energy of mid-point rule; Analysis of the mathematical pendulum to test the convergence of the formal energy; Numerical experiments.
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2002年第3期267-276,共10页 计算数学(英文)
基金 This research is supported by Special Funds for Major State Basic Research Projects of China (No. G1999032801-10 and No. G1999032804) by the knowledge innovation program of the Chinese Academy of Sciences and a grant (No. 19801034) from National Natura
关键词 mid-point rule formal energy mid-point rule formal energy
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  • 1Giancarlo Benettin,Antonio Giorgilli.On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms[J].Journal of Statistical Physics (-).1994(5-6)
  • 2Haruo Yoshida.Recent progress in the theory and application of symplectic integrators[J].Celestial Mechanics and Dynamical Astronomy (-).1993(1-2)

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