返回Google圖書搜尋

Stability of Computational Methods for Constrained Dynamics Systems

出版	University of British Columbia, Department of Computer Science, 1991
URL	http://books.google.com.hk/books?id=kttJtwAACAAJ&hl=&source=gbs_api

註釋Abstract: "Many methods have been proposed for numerically integrating the differential-algebraic systems arising from the Euler- Lagrange equations for constrained motion. These are based on various problem formulations and discretizations. We offer a critical evaluation of these methods from the standpoint of stability. Considering a linear model, we first give conditions under which the differential-algebraic problem is well-conditioned. This involves the concept of an essential underlying ODE. We review a variety of reformulations which have been proposed in the literature and show that most of them preserve the well- conditioning of the original problem