论文标题
归化Lagrangian系统的变分集成商中寄生虫的控制
Control of Parasitism in Variational Integrators for Degenerate Lagrangian Systems
论文作者
论文摘要
本文通过将其作为通用线性方法写入归化的拉格朗日系统的变分集成剂中的寄生虫控制。这使我们能够计算其寄生生长参数，这些参数负责这些算法的长期节能特性的丧失。作为一种补救措施并抵消了寄生虫的效果，然后将标准投影技术应用于一般线性方法，以通过将溶液投射到所需的歧管上来数值地保留退化Lagrangian系统的不变性。
This paper deals with the control of parasitism in variational integrators for degenerate Lagrangian systems by writing them as general linear methods. This enables us to calculate their parasitic growth parameters which are responsible for the loss of long-time energy conservation properties of these algorithms. As a remedy and to offset the effects of parasitism, the standard projection technique is then applied to the general linear methods to numerically preserve the invariants of the degenerate Lagrangian systems by projecting the solution onto the desired manifold.
