Volume 20, Issue 3
Symplectic Computation of Hamiltonian Systems (I)

Yi Fa Tang

DOI:

J. Comp. Math., 20 (2002), pp. 267-276

Published online: 2002-06

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  • Abstract

We get $\tao^6$-terms of the formal energy of the mid-point rule, and use the mathematical pendulum to test the convergence of the formal energy.

  • Keywords

Mid-point rule Formal energy

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-267, author = {}, title = {Symplectic Computation of Hamiltonian Systems (I)}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {3}, pages = {267--276}, abstract = { We get $\tao^6$-terms of the formal energy of the mid-point rule, and use the mathematical pendulum to test the convergence of the formal energy. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8916.html} }
TY - JOUR T1 - Symplectic Computation of Hamiltonian Systems (I) JO - Journal of Computational Mathematics VL - 3 SP - 267 EP - 276 PY - 2002 DA - 2002/06 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8916.html KW - Mid-point rule KW - Formal energy AB - We get $\tao^6$-terms of the formal energy of the mid-point rule, and use the mathematical pendulum to test the convergence of the formal energy.
Yi Fa Tang. (1970). Symplectic Computation of Hamiltonian Systems (I). Journal of Computational Mathematics. 20 (3). 267-276. doi:
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