摘要
In this letter, we first extend the Pfaff-Birkhoff principle to include forces and obtain the Pfaff-Birkhoff-D'Alembert principle consequently. Well then motions of forced Birkhoffian systems coincide with extremals of the modified principle. Subsequently, compared with the continuous case, the discrete forced Birkhoffian equations are constructed by discretizing the Pfaff-Birkhoff-D'Alembert principle. Considered as algorithms, the discrete equations have good numerical behavior in terms of getting the correct amounts by which the energy changes over the integration process, demonstrated by the given example.
源语言 | 英语 |
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页(从-至) | 326-332 |
页数 | 7 |
期刊 | Applied Mathematics and Computation |
卷 | 225 |
DOI | |
出版状态 | 已出版 - 2013 |
指纹
探究 'Variational integrators for forced Birkhoffian systems' 的科研主题。它们共同构成独一无二的指纹。引用此
Kong, X., Wu, H., & Mei, F. (2013). Variational integrators for forced Birkhoffian systems. Applied Mathematics and Computation, 225, 326-332. https://doi.org/10.1016/j.amc.2013.09.045