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.
翻译:本文论述对退化的拉格朗日系统变异集成体中的寄生虫炎的控制,将其写成一般线性方法,从而使我们能够计算出造成这些算法长期节能特性损失的寄生虫生长参数,作为补救和抵消寄生虫炎影响的一种办法,然后将标准预测技术应用于一般线性方法,通过将解决办法投射到理想的元件上,从数字上保护退化的拉格朗日系统变异体。