The present paper continues our investigation of an implementation of a least-squares collocation method for higher-index differential-algebraic equations. In earlier papers, we were able to substantiate the choice of basis functions and collocation points for a robust implementation as well as algorithms for the solution of the discrete system. The present paper is devoted to an analytic estimation of condition numbers for different components of an implementation. We present error estimations, which show the sources for the different errors.
翻译:本文件继续研究采用最小平方位合用法处理高指数差位对等方程式的情况,在先前的论文中,我们得以证实选择基准功能和合用点以进行强有力的实施,以及采用离散系统解决方案的算法,本文件专门分析了对实施过程中不同组成部分条件数的分析估计,我们提出了误差估计,其中显示了不同错误的来源。