论文标题
关于最小二乘搭配方法对线性高指数差分 - 代数方程的敏感性
On the sensitivity of implementations of a least-squares collocation method for linear higher-index differential-algebraic equations
论文作者
论文摘要
本文继续我们调查了针对高指数差异代数方程的最小二乘搭配方法的实施。在较早的论文中，我们能够证实可鲁棒实现的基础函数和搭配点的选择，以及用于解决离散系统解决方案的算法。本文致力于对实施不同组成部分的条件数量的分析估计。我们提出误差估计，其中显示了不同错误的来源。
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.
