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

Yi-Fa Tang

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

Published online: 2002-06

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  • Abstract

We get $τ^6$-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 = {Tang , Yi-Fa}, title = {Symplectic Computation of Hamiltonian Systems (I)}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {3}, pages = {267--276}, abstract = {

We get $τ^6$-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) AU - Tang , Yi-Fa 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, Formal energy. AB -

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

Tang , Yi-Fa. (2002). Symplectic Computation of Hamiltonian Systems (I). Journal of Computational Mathematics. 20 (3). 267-276. doi:
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