退化Lagrange系统变分积分器中寄生现象的控制
Control of Parasitism in Variational Integrators for Degenerate Lagrangian Systems
摘要：
本文将退化拉格朗日系统的变分积分器中寄生现象的控制写成一般的线性方法。这使我们能够计算它们的寄生生长参数，这些参数是这些算法的长期能量守恒特性的损失的原因。作为一种补救措施，并抵消寄生的影响，标准的投影技术，然后应用到一般的线性方法，通过投影到所需的流形上的解决方案，以保持数值退化拉格朗日系统的不变量。
英文摘要：
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.
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