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Volume 21, Issue 2
Variational Integrators for Higher Order Differential Equations

Yajuan Sun & Mengzhao Qin

J. Comp. Math., 21 (2003), pp. 135-144.

Published online: 2003-04

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  • Abstract

We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sense and can be related to symplectic schemes in Hamiltonian sense by different symplectic mappings. We also give a direct generalization of Veselov variational principle for construction of scheme of higher order differential equations. At last, we present numerical experiments.

  • Keywords

Variational integrator, Symplectic mapping.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-135, author = { Yajuan Sun and Mengzhao Qin }, title = {Variational Integrators for Higher Order Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {2}, pages = {135--144}, abstract = {

We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sense and can be related to symplectic schemes in Hamiltonian sense by different symplectic mappings. We also give a direct generalization of Veselov variational principle for construction of scheme of higher order differential equations. At last, we present numerical experiments.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8876.html} }
TY - JOUR T1 - Variational Integrators for Higher Order Differential Equations AU - Yajuan Sun & Mengzhao Qin JO - Journal of Computational Mathematics VL - 2 SP - 135 EP - 144 PY - 2003 DA - 2003/04 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8876.html KW - Variational integrator, Symplectic mapping. AB -

We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sense and can be related to symplectic schemes in Hamiltonian sense by different symplectic mappings. We also give a direct generalization of Veselov variational principle for construction of scheme of higher order differential equations. At last, we present numerical experiments.

Yajuan Sun and Mengzhao Qin . (2003). Variational Integrators for Higher Order Differential Equations. Journal of Computational Mathematics. 21 (2). 135-144. doi:
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